[{"volume":96,"date_updated":"2021-01-12T06:56:49Z","date_created":"2018-12-11T11:45:21Z","author":[{"full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D"}],"publisher":"Birkhäuser","intvolume":" 96","title":"Power-free values of polynomials","publication_status":"published","status":"public","_id":"233","year":"2011","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","extern":1,"issue":"2","publist_id":"7670","abstract":[{"lang":"eng","text":"For an irreducible polynomial in at most two variables the problem of representing power-free integers is investigated. "}],"type":"journal_article","date_published":"2011-02-19T00:00:00Z","doi":"10.1007/s00013-011-0224-7","page":"139 - 150","quality_controlled":0,"citation":{"short":"T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150.","mla":"Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der Mathematik, vol. 96, no. 2, Birkhäuser, 2011, pp. 139–50, doi:10.1007/s00013-011-0224-7.","chicago":"Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der Mathematik. Birkhäuser, 2011. https://doi.org/10.1007/s00013-011-0224-7.","ama":"Browning TD. Power-free values of polynomials. Archiv der Mathematik. 2011;96(2):139-150. doi:10.1007/s00013-011-0224-7","apa":"Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik. Birkhäuser. https://doi.org/10.1007/s00013-011-0224-7","ieee":"T. D. Browning, “Power-free values of polynomials,” Archiv der Mathematik, vol. 96, no. 2. Birkhäuser, pp. 139–150, 2011.","ista":"Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150."},"publication":"Archiv der Mathematik","month":"02","day":"19"},{"extern":1,"publist_id":"7671","issue":"3","abstract":[{"lang":"eng","text":"We investigate the average order of the divisor function at values of binary cubic forms that are reducible over Q and discuss some applications."}],"type":"journal_article","volume":23,"date_created":"2018-12-11T11:45:21Z","date_updated":"2021-01-12T06:56:53Z","author":[{"full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning"}],"intvolume":" 23","publisher":"Universite de Bordeaux","publication_status":"published","status":"public","title":"The divisor problem for binary cubic forms","_id":"234","year":"2011","day":"01","month":"01","doi":"10.5802/jtnb.778","date_published":"2011-01-01T00:00:00Z","page":"579 - 602","quality_controlled":0,"citation":{"ama":"Browning TD. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 2011;23(3):579-602. doi:10.5802/jtnb.778","ista":"Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.","apa":"Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux. https://doi.org/10.5802/jtnb.778","ieee":"T. D. Browning, “The divisor problem for binary cubic forms,” Journal de Theorie des Nombres de Bordeaux, vol. 23, no. 3. Universite de Bordeaux, pp. 579–602, 2011.","mla":"Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal de Theorie Des Nombres de Bordeaux, vol. 23, no. 3, Universite de Bordeaux, 2011, pp. 579–602, doi:10.5802/jtnb.778.","short":"T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 23 (2011) 579–602.","chicago":"Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux, 2011. https://doi.org/10.5802/jtnb.778."},"publication":"Journal de Theorie des Nombres de Bordeaux"},{"publication":"Illinois Journal of Mathematics","citation":{"ista":"Browning TD, Elsholtz C. 2011. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696.","ieee":"T. D. Browning and C. Elsholtz, “The number of representations of rationals as a sum of unit fractions,” Illinois Journal of Mathematics, vol. 55, no. 2. University of Illinois Press, pp. 685–696, 2011.","apa":"Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. University of Illinois Press.","ama":"Browning TD, Elsholtz C. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 2011;55(2):685-696.","chicago":"Browning, Timothy D, and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics. University of Illinois Press, 2011.","mla":"Browning, Timothy D., and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics, vol. 55, no. 2, University of Illinois Press, 2011, pp. 685–96.","short":"T.D. Browning, C. Elsholtz, Illinois Journal of Mathematics 55 (2011) 685–696."},"quality_controlled":"1","article_type":"original","page":"685 - 696","date_published":"2011-07-01T00:00:00Z","language":[{"iso":"eng"}],"month":"07","day":"01","article_processing_charge":"No","_id":"235","year":"2011","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"The number of representations of rationals as a sum of unit fractions","publication_status":"published","intvolume":" 55","publisher":"University of Illinois Press","author":[{"full_name":"Browning, Timothy D","first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"},{"last_name":"Elsholtz","first_name":"Christian","full_name":"Elsholtz, Christian"}],"date_created":"2018-12-11T11:45:21Z","date_updated":"2021-01-12T06:56:57Z","oa_version":"None","volume":55,"type":"journal_article","abstract":[{"lang":"eng","text":"For given positive integers m and n, we consider the frequency of representations of m/n as a sum of unit fractions."}],"issue":"2","publist_id":"7669","extern":"1"},{"author":[{"last_name":"De La Bretèche","first_name":"Régis","full_name":"de la Bretèche, Régis"},{"first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Timothy Browning"}],"date_updated":"2021-01-12T06:57:00Z","date_created":"2018-12-11T11:45:21Z","volume":160,"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","_id":"236","year":"2011","status":"public","title":"Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration","publication_status":"published","intvolume":" 160","publisher":"Duke University Press","abstract":[{"text":"An asymptotic formula is established for the number of Q-rational points of bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle structure.","lang":"eng"}],"publist_id":"7668","issue":"1","extern":1,"type":"journal_article","doi":"10.1215/00127094-1443466","date_published":"2011-09-27T00:00:00Z","publication":"Duke Mathematical Journal","citation":{"ama":"De La Bretèche R, Browning TD. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 2011;160(1):1-69. doi:10.1215/00127094-1443466","ista":"De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.","ieee":"R. De La Bretèche and T. D. Browning, “Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration,” Duke Mathematical Journal, vol. 160, no. 1. Duke University Press, pp. 1–69, 2011.","apa":"De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-1443466","mla":"De La Bretèche, Régis, and Timothy D. Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal, vol. 160, no. 1, Duke University Press, 2011, pp. 1–69, doi:10.1215/00127094-1443466.","short":"R. De La Bretèche, T.D. Browning, Duke Mathematical Journal 160 (2011) 1–69.","chicago":"De La Bretèche, Régis, and Timothy D Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal. Duke University Press, 2011. https://doi.org/10.1215/00127094-1443466."},"quality_controlled":0,"page":"1 - 69","day":"27","month":"09"},{"abstract":[{"text":"We resolve several longstanding problems concerning the stability and the absence of multi-particle binding for N≥2 polarons. Fröhlich's 1937 polaron model describes non-relativistic particles interacting with a scalar quantized field with coupling √α, and with each other by Coulomb repulsion of strength U. We prove the following: (i) While there is a known thermodynamic instability for U<2α, stability of matter does hold for U>2α, that is, the ground state energy per particle has a finite limit as N→∞. (ii) There is no binding of any kind if U exceeds a critical value that depends on α but not on N. The same results are shown to hold for the Pekar-Tomasevich model.","lang":"eng"}],"publist_id":"4534","issue":"1","extern":1,"type":"journal_article","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert L"},{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Thomas, Lawrence E","last_name":"Thomas","first_name":"Lawrence"}],"date_created":"2018-12-11T11:57:23Z","date_updated":"2021-01-12T06:57:12Z","volume":113,"_id":"2390","year":"2011","publication_status":"published","title":"Stability and absence of binding for multi-polaron systems","status":"public","intvolume":" 113","publisher":"Springer","month":"06","day":"01","date_published":"2011-06-01T00:00:00Z","doi":"10.1007/s10240-011-0031-5","publication":"Publications Mathematiques de l Institut des Hautes Etudes Scientifiques","citation":{"ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Stability and absence of binding for multi-polaron systems,” Publications Mathematiques de l Institut des Hautes Etudes Scientifiques, vol. 113, no. 1. Springer, pp. 39–67, 2011.","apa":"Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques. Springer. https://doi.org/10.1007/s10240-011-0031-5","ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2011. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 113(1), 39–67.","ama":"Frank R, Lieb É, Seiringer R, Thomas L. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 2011;113(1):39-67. doi:10.1007/s10240-011-0031-5","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques. Springer, 2011. https://doi.org/10.1007/s10240-011-0031-5.","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.","mla":"Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5."},"oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1004.4892"}],"quality_controlled":0,"page":"39 - 67"},{"date_published":"2011-01-01T00:00:00Z","doi":"10.1103/PhysRevLett.106.150402","quality_controlled":0,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1102.1414"}],"oa":1,"citation":{"chicago":"Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters. American Physical Society, 2011. https://doi.org/10.1103/PhysRevLett.106.150402.","short":"R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).","mla":"Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402.","ieee":"R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Energy cost to make a hole in the fermi sea,” Physical Review Letters, vol. 106, no. 15. American Physical Society, 2011.","apa":"Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2011). Energy cost to make a hole in the fermi sea. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.106.150402","ista":"Frank R, Lewin M, Lieb É, Seiringer R. 2011. Energy cost to make a hole in the fermi sea. Physical Review Letters. 106(15).","ama":"Frank R, Lewin M, Lieb É, Seiringer R. Energy cost to make a hole in the fermi sea. Physical Review Letters. 2011;106(15). doi:10.1103/PhysRevLett.106.150402"},"publication":"Physical Review Letters","month":"01","day":"01","volume":106,"date_updated":"2021-01-12T06:57:12Z","date_created":"2018-12-11T11:57:24Z","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"publisher":"American Physical Society","intvolume":" 106","status":"public","title":"Energy cost to make a hole in the fermi sea","publication_status":"published","_id":"2391","year":"2011","extern":1,"issue":"15","publist_id":"4535","abstract":[{"text":"The change in energy of an ideal Fermi gas when a local one-body potential is inserted into the system, or when the density is changed locally, are important quantities in condensed matter physics. We show that they can be rigorously bounded from below by a universal constant times the value given by the semiclassical approximation.","lang":"eng"}],"type":"journal_article"},{"issue":"3","publist_id":"7665","abstract":[{"lang":"eng","text":"An effective search bound is established for the least non-trivial integer zero of an arbitrary cubic form C ε ℤ[X 1,...,X n], provided that n ≥ 17."}],"extern":1,"type":"journal_article","author":[{"full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D"},{"full_name":"Dietmann, Rainer","last_name":"Dietmann","first_name":"Rainer"},{"last_name":"Elliott","first_name":"Peter","full_name":"Elliott, Peter"}],"volume":352,"date_updated":"2021-01-12T06:57:11Z","date_created":"2018-12-11T11:45:22Z","year":"2011","_id":"239","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","intvolume":" 352","publisher":"Springer","status":"public","publication_status":"published","title":"Least zero of a cubic form","day":"06","month":"03","date_published":"2011-03-06T00:00:00Z","doi":"10.1007/s00208-011-0651-6","citation":{"short":"T.D. Browning, R. Dietmann, P. Elliott, Mathematische Annalen 352 (2011) 745–778.","mla":"Browning, Timothy D., et al. “Least Zero of a Cubic Form.” Mathematische Annalen, vol. 352, no. 3, Springer, 2011, pp. 745–78, doi:10.1007/s00208-011-0651-6.","chicago":"Browning, Timothy D, Rainer Dietmann, and Peter Elliott. “Least Zero of a Cubic Form.” Mathematische Annalen. Springer, 2011. https://doi.org/10.1007/s00208-011-0651-6.","ama":"Browning TD, Dietmann R, Elliott P. Least zero of a cubic form. Mathematische Annalen. 2011;352(3):745-778. doi:10.1007/s00208-011-0651-6","apa":"Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic form. Mathematische Annalen. Springer. https://doi.org/10.1007/s00208-011-0651-6","ieee":"T. D. Browning, R. Dietmann, and P. Elliott, “Least zero of a cubic form,” Mathematische Annalen, vol. 352, no. 3. Springer, pp. 745–778, 2011.","ista":"Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778."},"publication":"Mathematische Annalen","page":"745 - 778","quality_controlled":0},{"day":"01","month":"09","doi":"10.1007/s00220-011-1261-6","date_published":"2011-09-01T00:00:00Z","page":"565 - 578","quality_controlled":0,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1008.5349"}],"oa":1,"citation":{"chicago":"Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1261-6.","mla":"Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics, vol. 306, no. 2, Springer, 2011, pp. 565–78, doi:10.1007/s00220-011-1261-6.","short":"R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.","ista":"Seiringer R. 2011. The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. 306(2), 565–578.","ieee":"R. Seiringer, “The excitation spectrum for weakly interacting Bosons,” Communications in Mathematical Physics, vol. 306, no. 2. Springer, pp. 565–578, 2011.","apa":"Seiringer, R. (2011). The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-011-1261-6","ama":"Seiringer R. The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. 2011;306(2):565-578. doi:10.1007/s00220-011-1261-6"},"publication":"Communications in Mathematical Physics","extern":1,"publist_id":"4533","issue":"2","abstract":[{"lang":"eng","text":"We investigate the low energy excitation spectrum of a Bose gas with weak, long range repulsive interactions. In particular, we prove that the Bogoliubov spectrum of elementary excitations with linear dispersion relation for small momentum becomes exact in the mean-field limit."}],"type":"journal_article","volume":306,"date_updated":"2021-01-12T06:57:13Z","date_created":"2018-12-11T11:57:24Z","author":[{"full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publisher":"Springer","intvolume":" 306","title":"The excitation spectrum for weakly interacting Bosons","status":"public","publication_status":"published","year":"2011","_id":"2393"},{"day":"01","month":"01","page":"259 - 295","quality_controlled":0,"citation":{"ama":"Matoušek J, Tancer M, Wagner U. Hardness of embedding simplicial complexes in Rd. Journal of the European Mathematical Society. 2011;13(2):259-295. doi:10.4171/JEMS/252","ista":"Matoušek J, Tancer M, Wagner U. 2011. Hardness of embedding simplicial complexes in Rd. Journal of the European Mathematical Society. 13(2), 259–295.","apa":"Matoušek, J., Tancer, M., & Wagner, U. (2011). Hardness of embedding simplicial complexes in Rd. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/252","ieee":"J. Matoušek, M. Tancer, and U. Wagner, “Hardness of embedding simplicial complexes in Rd,” Journal of the European Mathematical Society, vol. 13, no. 2. European Mathematical Society, pp. 259–295, 2011.","mla":"Matoušek, Jiří, et al. “Hardness of Embedding Simplicial Complexes in Rd.” Journal of the European Mathematical Society, vol. 13, no. 2, European Mathematical Society, 2011, pp. 259–95, doi:10.4171/JEMS/252.","short":"J. Matoušek, M. Tancer, U. Wagner, Journal of the European Mathematical Society 13 (2011) 259–295.","chicago":"Matoušek, Jiří, Martin Tancer, and Uli Wagner. “Hardness of Embedding Simplicial Complexes in Rd.” Journal of the European Mathematical Society. European Mathematical Society, 2011. https://doi.org/10.4171/JEMS/252."},"publication":"Journal of the European Mathematical Society","date_published":"2011-01-01T00:00:00Z","doi":"10.4171/JEMS/252","type":"journal_article","extern":1,"publist_id":"4470","issue":"2","abstract":[{"text":"Let EMBEDk→d be the following algorithmic problem: Given a finite simplicial complex K of dimension at most k, does there exist a (piecewise linear) embedding of K into Rd? Known results easily imply the polynomiality of EMBEDk→2 (k = 1; 2; the case k = 1, d = 2 is graph planarity) and of EMBEDk→2k for all k ≥ 3. We show that the celebrated result of Novikov on the algorithmic unsolvability of recognizing the 5-sphere implies that EMBEDd→d and EMBED (d-1)→d are undecidable for each d ≥ 5. Our main result is the NP-hardness of EMBED2→4 and, more generally, of EMBED k→d for all k; d with d ≥ 4 and d ≥ k ≥ (2d - 2)/3. These dimensions fall outside the metastable range of a theorem of Haefliger and Weber, which characterizes embeddability using the deleted product obstruction. Our reductions are based on examples, due to Segal, Spież, Freedman, Krushkal, Teichner, and Skopenkov, showing that outside the metastable range the deleted product obstruction is not sufficient to characterize embeddability. ","lang":"eng"}],"publisher":"European Mathematical Society","intvolume":" 13","publication_status":"published","status":"public","title":"Hardness of embedding simplicial complexes in Rd","year":"2011","_id":"2436","acknowledgement":"We would like to thank Colin Rourke for explanations concerning PL topology and for examples showing the difference between PL embeddability and topological embeddability\nmentioned in Section 2. We also thank Michael Joswig, Gil Kalai, Frank Lutz, Alexander Nabutovsky, and Robin Thomas for kindly answering our questions. The second author would also like to thank Sergio Cabello for helpful discussions regarding linear-time algorithms for EMBED2!2.\nFinally, we are grateful to two anonymous referees for careful reading and valuable suggestions.\nResearch of U.Wagner was supported by the Swiss National Science Foundation (SNF Projects\n200021-116741 and 200021-125309).","volume":13,"date_updated":"2021-01-12T06:57:28Z","date_created":"2018-12-11T11:57:39Z","author":[{"first_name":"Jiří","last_name":"Matoušek","full_name":"Matoušek, Jiří"},{"first_name":"Martin","last_name":"Tancer","id":"38AC689C-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1191-6714","full_name":"Martin Tancer"},{"full_name":"Uli Wagner","first_name":"Uli","last_name":"Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568"}]},{"day":"01","month":"01","page":"351 - 360","quality_controlled":0,"citation":{"ieee":"U. Wagner, “Minors in random and expanding hypergraphs,” presented at the SGC: Symposuim on Computational Geometry, 2011, pp. 351–360.","apa":"Wagner, U. (2011). Minors in random and expanding hypergraphs (pp. 351–360). Presented at the SGC: Symposuim on Computational Geometry, ACM. https://doi.org/10.1145/1998196.1998256","ista":"Wagner U. 2011. Minors in random and expanding hypergraphs. SGC: Symposuim on Computational Geometry, 351–360.","ama":"Wagner U. Minors in random and expanding hypergraphs. In: ACM; 2011:351-360. doi:10.1145/1998196.1998256","chicago":"Wagner, Uli. “Minors in Random and Expanding Hypergraphs,” 351–60. ACM, 2011. https://doi.org/10.1145/1998196.1998256.","short":"U. Wagner, in:, ACM, 2011, pp. 351–360.","mla":"Wagner, Uli. Minors in Random and Expanding Hypergraphs. ACM, 2011, pp. 351–60, doi:10.1145/1998196.1998256."},"date_published":"2011-01-01T00:00:00Z","doi":"10.1145/1998196.1998256","conference":{"name":"SGC: Symposuim on Computational Geometry"},"type":"conference","extern":1,"publist_id":"4469","abstract":[{"text":"We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extremal problems for sparse simplicial complexes and the corresponding threshold problems for random complexes. In this paper, we focus on threshold problems. The basic model for random complexes is the Linial-Meshulam model Xk(n, p). By definition, such a complex has n vertices, a complete (k -1)-dimensional skeleton, and every possible k-dimensional simplex is chosen independently with probability p. We show that for every k, t≥ 1, there is a constant C = C(k, t) such that for p≥ C/n, the random complex Xk(n, p) asymptotically almost surely contains K tk (the complete k-dimensional complex on t vertices) as a homological minor. As corollary, the threshold for (topological) embeddability of Xk(n, p) into R2k is at p = θ(1/n). The method can be extended to other models of random complexes (for which the lower skeleta are not necessarily complete) and also to more general Tverberg-type problems, where instead of continuous maps without doubly covered image points (embeddings), we consider maps without qfold covered image points.","lang":"eng"}],"publisher":"ACM","status":"public","publication_status":"published","title":"Minors in random and expanding hypergraphs","year":"2011","_id":"2437","date_updated":"2021-01-12T06:57:29Z","date_created":"2018-12-11T11:57:39Z","author":[{"first_name":"Uli","last_name":"Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","full_name":"Uli Wagner"}]},{"abstract":[{"text":"Within a multicellular tissue cells may coordinately form a singular or multiple polar axes, but it is unclear whether a common mechanism governs different types of polar axis formation. The phosphorylation status of PIN proteins, which is directly affected by the PINOID (PID) protein kinase and the PP2A protein phosphatase, is known to regulate the apical-basal polarity of PIN localization in bipolar cells of roots and shoot apices. Here, we provide evidence that the phosphorylation status-mediated PIN polarity switch is widely used to modulate cellular processes in Arabidopsis including multipolar pavement cells (PC) with interdigitated lobes and indentations. The degree of PC interdigitation was greatly reduced either when the FYPP1 gene, which encodes a PP2A called phytochrome-associated serine/threonine protein phosphatase, was knocked out or when the PID gene was overexpressed (35S:PID). These genetic modifications caused PIN1 localization to switch from lobe to indentation regions. The PP2A and PID mediated switching of PIN1 localization is strikingly similar to their regulation of the apical-basal polarity switch of PIN proteins in other cells. Our findings suggest a common mechanism for the regulation of PIN1 polarity formation, a fundamental cellular process that is crucial for pattern formation both at the tissue/organ and cellular levels.","lang":"eng"}],"issue":"6","publist_id":"4449","extern":1,"type":"journal_article","author":[{"id":"33CA54A6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5039-9660","first_name":"Hongjiang","last_name":"Li","full_name":"Hongjiang Li"},{"first_name":"Deshu","last_name":"Lin","full_name":"Lin, Deshu"},{"last_name":"Dhonukshe","first_name":"Pankaj","full_name":"Dhonukshe, Pankaj B"},{"full_name":"Nagawa, Shingo","first_name":"Shingo","last_name":"Nagawa"},{"full_name":"Chen, Dandan","last_name":"Chen","first_name":"Dandan"},{"first_name":"Jirí","last_name":"Friml","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","full_name":"Jirí Friml"},{"full_name":"Scheres, Ben","first_name":"Ben","last_name":"Scheres"},{"full_name":"Guo, Hongwei","last_name":"Guo","first_name":"Hongwei"},{"first_name":"Zhenbiao","last_name":"Yang","full_name":"Yang, Zhenbiao"}],"date_updated":"2021-01-12T06:57:35Z","date_created":"2018-12-11T11:57:45Z","volume":21,"_id":"2454","year":"2011","title":"Phosphorylation switch modulates the interdigitated pattern of PIN1 localization and cell expansion in Arabidopsis leaf epidermis","publication_status":"published","status":"public","intvolume":" 21","publisher":"Nature Publishing Group","month":"06","day":"01","doi":"10.1038/cr.2011.49","date_published":"2011-06-01T00:00:00Z","publication":"Cell Research","oa":1,"citation":{"chicago":"Li, Hongjiang, Deshu Lin, Pankaj Dhonukshe, Shingo Nagawa, Dandan Chen, Jiří Friml, Ben Scheres, Hongwei Guo, and Zhenbiao Yang. “Phosphorylation Switch Modulates the Interdigitated Pattern of PIN1 Localization and Cell Expansion in Arabidopsis Leaf Epidermis.” Cell Research. Nature Publishing Group, 2011. https://doi.org/10.1038/cr.2011.49.","short":"H. Li, D. Lin, P. Dhonukshe, S. Nagawa, D. Chen, J. Friml, B. Scheres, H. Guo, Z. Yang, Cell Research 21 (2011) 970–978.","mla":"Li, Hongjiang, et al. “Phosphorylation Switch Modulates the Interdigitated Pattern of PIN1 Localization and Cell Expansion in Arabidopsis Leaf Epidermis.” Cell Research, vol. 21, no. 6, Nature Publishing Group, 2011, pp. 970–78, doi:10.1038/cr.2011.49.","ieee":"H. Li et al., “Phosphorylation switch modulates the interdigitated pattern of PIN1 localization and cell expansion in Arabidopsis leaf epidermis,” Cell Research, vol. 21, no. 6. Nature Publishing Group, pp. 970–978, 2011.","apa":"Li, H., Lin, D., Dhonukshe, P., Nagawa, S., Chen, D., Friml, J., … Yang, Z. (2011). Phosphorylation switch modulates the interdigitated pattern of PIN1 localization and cell expansion in Arabidopsis leaf epidermis. Cell Research. Nature Publishing Group. https://doi.org/10.1038/cr.2011.49","ista":"Li H, Lin D, Dhonukshe P, Nagawa S, Chen D, Friml J, Scheres B, Guo H, Yang Z. 2011. Phosphorylation switch modulates the interdigitated pattern of PIN1 localization and cell expansion in Arabidopsis leaf epidermis. Cell Research. 21(6), 970–978.","ama":"Li H, Lin D, Dhonukshe P, et al. Phosphorylation switch modulates the interdigitated pattern of PIN1 localization and cell expansion in Arabidopsis leaf epidermis. Cell Research. 2011;21(6):970-978. doi:10.1038/cr.2011.49"},"main_file_link":[{"url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3203702/","open_access":"1"}],"quality_controlled":0,"page":"970 - 978"},{"citation":{"ista":"Dettmer J, Friml J. 2011. Cell polarity in plants: When two do the same, it is not the same... Current Opinion in Cell Biology. 23(6), 686–696.","apa":"Dettmer, J., & Friml, J. (2011). Cell polarity in plants: When two do the same, it is not the same... Current Opinion in Cell Biology. Elsevier. https://doi.org/10.1016/j.ceb.2011.09.006","ieee":"J. Dettmer and J. Friml, “Cell polarity in plants: When two do the same, it is not the same...,” Current Opinion in Cell Biology, vol. 23, no. 6. Elsevier, pp. 686–696, 2011.","ama":"Dettmer J, Friml J. Cell polarity in plants: When two do the same, it is not the same... Current Opinion in Cell Biology. 2011;23(6):686-696. doi:10.1016/j.ceb.2011.09.006","chicago":"Dettmer, Jan, and Jiří Friml. “Cell Polarity in Plants: When Two Do the Same, It Is Not the Same...” Current Opinion in Cell Biology. Elsevier, 2011. https://doi.org/10.1016/j.ceb.2011.09.006.","mla":"Dettmer, Jan, and Jiří Friml. “Cell Polarity in Plants: When Two Do the Same, It Is Not the Same...” Current Opinion in Cell Biology, vol. 23, no. 6, Elsevier, 2011, pp. 686–96, doi:10.1016/j.ceb.2011.09.006.","short":"J. Dettmer, J. Friml, Current Opinion in Cell Biology 23 (2011) 686–696."},"publication":"Current Opinion in Cell Biology","page":"686 - 696","quality_controlled":"1","doi":"10.1016/j.ceb.2011.09.006","date_published":"2011-12-01T00:00:00Z","language":[{"iso":"eng"}],"month":"12","day":"01","year":"2011","_id":"2460","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publisher":"Elsevier","intvolume":" 23","status":"public","title":"Cell polarity in plants: When two do the same, it is not the same...","publication_status":"published","author":[{"first_name":"Jan","last_name":"Dettmer","full_name":"Dettmer, Jan"},{"full_name":"Friml, Jirí","orcid":"0000-0002-8302-7596","id":"4159519E-F248-11E8-B48F-1D18A9856A87","last_name":"Friml","first_name":"Jirí"}],"volume":23,"oa_version":"None","date_updated":"2021-01-12T06:57:37Z","date_created":"2018-12-11T11:57:47Z","type":"journal_article","issue":"6","publist_id":"4443","abstract":[{"text":"In unicellular and multicellular organisms, cell polarity is essential for a wide range of biological processes. An important feature of cell polarity is the asymmetric distribution of proteins in or at the plasma membrane. In plants such polar localized proteins play various specific roles ranging from organizing cell morphogenesis, asymmetric cell division, pathogen defense, nutrient transport and establishment of hormone gradients for developmental patterning. Moreover, flexible respecification of cell polarities enables plants to adjust their physiology and development to environmental changes. Having evolved multicellularity independently and lacking major cell polarity mechanisms of animal cells, plants came up with alternative solutions to generate and respecify cell polarity as well as to regulate polar domains at the plasma membrane.","lang":"eng"}],"extern":"1"},{"date_published":"2011-01-01T00:00:00Z","doi":"10.1038/nn.2692","publication":"Nature Neuroscience","citation":{"ama":"Chan S, Glajch K, Gertler T, et al. HCN channelopathy in external globus pallidus neurons in models of Parkinson s disease. Nature Neuroscience. 2011;14(1):85-94. doi:10.1038/nn.2692","ieee":"S. Chan et al., “HCN channelopathy in external globus pallidus neurons in models of Parkinson s disease,” Nature Neuroscience, vol. 14, no. 1. Nature Publishing Group, pp. 85–94, 2011.","apa":"Chan, S., Glajch, K., Gertler, T., Guzmán, J., Mercer, J., Lewis, A., … Surmeier, J. (2011). HCN channelopathy in external globus pallidus neurons in models of Parkinson s disease. Nature Neuroscience. Nature Publishing Group. https://doi.org/10.1038/nn.2692","ista":"Chan S, Glajch K, Gertler T, Guzmán J, Mercer J, Lewis A, Goldberg A, Tkatch T, Shigemoto R, Fleming S, Chetkovich D, Osten P, Kita H, Surmeier J. 2011. HCN channelopathy in external globus pallidus neurons in models of Parkinson s disease. Nature Neuroscience. 14(1), 85–94.","short":"S. Chan, K. Glajch, T. Gertler, J. Guzmán, J. Mercer, A. Lewis, A. Goldberg, T. Tkatch, R. Shigemoto, S. Fleming, D. Chetkovich, P. Osten, H. Kita, J. Surmeier, Nature Neuroscience 14 (2011) 85–94.","mla":"Chan, Savio, et al. “HCN Channelopathy in External Globus Pallidus Neurons in Models of Parkinson s Disease.” Nature Neuroscience, vol. 14, no. 1, Nature Publishing Group, 2011, pp. 85–94, doi:10.1038/nn.2692.","chicago":"Chan, Savio, Kelly Glajch, Tracy Gertler, Jaime Guzmán, Jeff Mercer, Alan Lewis, Alan Goldberg, et al. “HCN Channelopathy in External Globus Pallidus Neurons in Models of Parkinson s Disease.” Nature Neuroscience. Nature Publishing Group, 2011. https://doi.org/10.1038/nn.2692."},"quality_controlled":0,"page":"85 - 94","day":"01","month":"01","author":[{"last_name":"Chan","first_name":"Savio","full_name":"Chan, Savio"},{"last_name":"Glajch","first_name":"Kelly","full_name":"Glajch, Kelly E"},{"last_name":"Gertler","first_name":"Tracy","full_name":"Gertler, Tracy S"},{"full_name":"Guzmán, Jaime N","last_name":"Guzmán","first_name":"Jaime"},{"full_name":"Mercer, Jeff N","first_name":"Jeff","last_name":"Mercer"},{"full_name":"Lewis, Alan S","last_name":"Lewis","first_name":"Alan"},{"full_name":"Goldberg, Alan B","first_name":"Alan","last_name":"Goldberg"},{"full_name":"Tkatch, Tatiana","last_name":"Tkatch","first_name":"Tatiana"},{"full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","first_name":"Ryuichi","last_name":"Shigemoto"},{"full_name":"Fleming, Sheila M","first_name":"Sheila","last_name":"Fleming"},{"first_name":"Dane","last_name":"Chetkovich","full_name":"Chetkovich, Dane M"},{"last_name":"Osten","first_name":"Pavel","full_name":"Osten, Pavel"},{"first_name":"Hitoshi","last_name":"Kita","full_name":"Kita, Hitoshi"},{"last_name":"Surmeier","first_name":"James","full_name":"Surmeier, James D"}],"date_created":"2018-12-11T11:58:06Z","date_updated":"2021-01-12T06:57:56Z","volume":14,"year":"2011","_id":"2511","title":"HCN channelopathy in external globus pallidus neurons in models of Parkinson s disease","publication_status":"published","status":"public","publisher":"Nature Publishing Group","intvolume":" 14","abstract":[{"lang":"eng","text":"Parkinson's disease is a common neurodegenerative disorder characterized by a profound motor disability that is traceable to the emergence of synchronous, rhythmic spiking in neurons of the external segment of the globus pallidus (GPe). The origins of this pathophysiology are poorly defined for the generation of pacemaking. After the induction of a parkinsonian state in mice, there was a progressive decline in autonomous GPe pacemaking, which normally serves to desynchronize activity. The loss was attributable to the downregulation of an ion channel that is essential in pacemaking, the hyperpolarization and cyclic nucleotide-gated (HCN) channel. Viral delivery of HCN2 subunits restored pacemaking and reduced burst spiking in GPe neurons. However, the motor disability induced by dopamine (DA) depletion was not reversed, suggesting that the loss of pacemaking was a consequence, rather than a cause, of key network pathophysiology, a conclusion that is consistent with the ability of L-type channel antagonists to attenuate silencing after DA depletion."}],"publist_id":"4390","issue":"1","extern":1,"type":"journal_article"},{"day":"20","month":"04","date_published":"2011-04-20T00:00:00Z","doi":"10.1523/JNEUROSCI.5938-10.2011","publication":"Journal of Neuroscience","citation":{"ista":"Szabadits E, Cserép C, Szonyi A, Fukazawa Y, Shigemoto R, Watanabe M, Itohara S, Freund T, Nyíri G. 2011. NMDA receptors in hippocampal GABAergic synapses and their role in nitric oxide signaling. Journal of Neuroscience. 31(16), 5893–5904.","ieee":"E. Szabadits et al., “NMDA receptors in hippocampal GABAergic synapses and their role in nitric oxide signaling,” Journal of Neuroscience, vol. 31, no. 16. Society for Neuroscience, pp. 5893–5904, 2011.","apa":"Szabadits, E., Cserép, C., Szonyi, A., Fukazawa, Y., Shigemoto, R., Watanabe, M., … Nyíri, G. (2011). NMDA receptors in hippocampal GABAergic synapses and their role in nitric oxide signaling. Journal of Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.5938-10.2011","ama":"Szabadits E, Cserép C, Szonyi A, et al. NMDA receptors in hippocampal GABAergic synapses and their role in nitric oxide signaling. Journal of Neuroscience. 2011;31(16):5893-5904. doi:10.1523/JNEUROSCI.5938-10.2011","chicago":"Szabadits, Eszter, Csaba Cserép, András Szonyi, Yugo Fukazawa, Ryuichi Shigemoto, Masahiko Watanabe, Shigeyoshi Itohara, Tamás Freund, and Gábor Nyíri. “NMDA Receptors in Hippocampal GABAergic Synapses and Their Role in Nitric Oxide Signaling.” Journal of Neuroscience. Society for Neuroscience, 2011. https://doi.org/10.1523/JNEUROSCI.5938-10.2011.","mla":"Szabadits, Eszter, et al. “NMDA Receptors in Hippocampal GABAergic Synapses and Their Role in Nitric Oxide Signaling.” Journal of Neuroscience, vol. 31, no. 16, Society for Neuroscience, 2011, pp. 5893–904, doi:10.1523/JNEUROSCI.5938-10.2011.","short":"E. Szabadits, C. Cserép, A. Szonyi, Y. Fukazawa, R. Shigemoto, M. Watanabe, S. Itohara, T. Freund, G. Nyíri, Journal of Neuroscience 31 (2011) 5893–5904."},"quality_controlled":0,"page":"5893 - 5904","abstract":[{"text":"GABAergic inhibition plays a central role in the control of pyramidal cell ensemble activities; thus, any signaling mechanism that regulates inhibition is able to fine-tune network patterns. Here, we provide evidence that the retrograde nitric oxide (NO)- cGMP cascade triggered by NMDA receptor (NMDAR) activation plays a role in the control of hippocampal GABAergic transmission in mice. GABAergic synapses express neuronal nitric oxide synthase (nNOS) postsynaptically and NO receptors (NO-sensitive guanylyl cyclase) in the presynaptic terminals. We hypothesized that-similar to glutamatergic synapses-the Ca 2+ transients required to activate nNOS were provided by NMDA receptor activation. Indeed, administration of 5 μm NMDA induced a robust nNOS-dependent cGMP production in GABAergic terminals, selectively in the CA1 and CA3c areas. Furthermore, using preembedding, postembedding, and SDS-digested freeze-fracture replica immunogold labeling, we provided quantitative immunocytochemical evidence that NMDAR subunits GluN1, GluN2A, and GluN2B were present in most somatic GABAergic synapses postsynaptically. These data indicate that NMDARs can modulate hippocampal GABAergic inhibition via NO- cGMP signaling in an activity-dependent manner and that this effect is subregion specific in the mouse hippocampus.","lang":"eng"}],"issue":"16","publist_id":"4389","extern":1,"type":"journal_article","author":[{"first_name":"Eszter","last_name":"Szabadits","full_name":"Szabadits, Eszter"},{"full_name":"Cserép, Csaba","last_name":"Cserép","first_name":"Csaba"},{"first_name":"András","last_name":"Szonyi","full_name":"Szonyi, András"},{"last_name":"Fukazawa","first_name":"Yugo","full_name":"Fukazawa, Yugo"},{"full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","first_name":"Ryuichi","last_name":"Shigemoto"},{"last_name":"Watanabe","first_name":"Masahiko","full_name":"Watanabe, Masahiko"},{"last_name":"Itohara","first_name":"Shigeyoshi","full_name":"Itohara, Shigeyoshi"},{"full_name":"Freund, Tamás F","first_name":"Tamás","last_name":"Freund"},{"full_name":"Nyíri, Gábor","first_name":"Gábor","last_name":"Nyíri"}],"date_created":"2018-12-11T11:58:06Z","date_updated":"2021-01-12T06:57:56Z","volume":31,"_id":"2512","year":"2011","title":"NMDA receptors in hippocampal GABAergic synapses and their role in nitric oxide signaling","publication_status":"published","status":"public","intvolume":" 31","publisher":"Society for Neuroscience"},{"volume":14,"date_updated":"2021-01-12T06:57:56Z","date_created":"2018-12-11T11:58:07Z","author":[{"full_name":"Allen, Duane H","first_name":"Duane","last_name":"Allen"},{"full_name":"Bond, Chris T","first_name":"Chris","last_name":"Bond"},{"full_name":"Luján, Rafael","first_name":"Rafael","last_name":"Luján"},{"full_name":"Ballesteros-Merino, Carmen","first_name":"Carmen","last_name":"Ballesteros Merino"},{"full_name":"Lin, Michael T","last_name":"Lin","first_name":"Michael"},{"last_name":"Wang","first_name":"Kang","full_name":"Wang, Kang"},{"full_name":"Klett, Nathan","last_name":"Klett","first_name":"Nathan"},{"first_name":"Masahiko","last_name":"Watanabe","full_name":"Watanabe, Masahiko"},{"last_name":"Shigemoto","first_name":"Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","full_name":"Ryuichi Shigemoto"},{"first_name":"Robert","last_name":"Stackman","full_name":"Stackman, Robert W"},{"last_name":"Maylie","first_name":"James","full_name":"Maylie, James G"},{"full_name":"Adelman, John P","first_name":"John","last_name":"Adelman"}],"intvolume":" 14","publisher":"Nature Publishing Group","publication_status":"published","title":"The SK2-long isoform directs synaptic localization and function of SK2-containing channels","status":"public","year":"2011","_id":"2513","extern":1,"publist_id":"4388","issue":"6","abstract":[{"text":"SK2-containing channels are expressed in the postsynaptic density (PSD) of dendritic spines on mouse hippocampal area CA1 pyramidal neurons and influence synaptic responses, plasticity and learning. The Sk2 gene (also known as Kcnn2) encodes two isoforms that differ only in the length of their N-terminal domains. SK2-long (SK2-L) and SK2-short (SK2-S) are coexpressed in CA1 pyramidal neurons and likely form heteromeric channels. In mice lacking SK2-L (SK2-S only mice), SK2-S-containing channels were expressed in the extrasynaptic membrane, but were excluded from the PSD. The SK channel contribution to excitatory postsynaptic potentials was absent in SK2-S only mice and was restored by SK2-L re-expression. Blocking SK channels increased the amount of long-term potentiation induced in area CA1 in slices from wild-type mice but had no effect in slices from SK2-S only mice. Furthermore, SK2-S only mice outperformed wild-type mice in the novel object recognition task. These results indicate that SK2-L directs synaptic SK2-containing channel expression and is important for normal synaptic signaling, plasticity and learning. ","lang":"eng"}],"type":"journal_article","doi":"10.1038/nn.2832","date_published":"2011-06-01T00:00:00Z","page":"744 - 749","quality_controlled":0,"citation":{"ieee":"D. Allen et al., “The SK2-long isoform directs synaptic localization and function of SK2-containing channels,” Nature Neuroscience, vol. 14, no. 6. Nature Publishing Group, pp. 744–749, 2011.","apa":"Allen, D., Bond, C., Luján, R., Ballesteros Merino, C., Lin, M., Wang, K., … Adelman, J. (2011). The SK2-long isoform directs synaptic localization and function of SK2-containing channels. Nature Neuroscience. Nature Publishing Group. https://doi.org/10.1038/nn.2832","ista":"Allen D, Bond C, Luján R, Ballesteros Merino C, Lin M, Wang K, Klett N, Watanabe M, Shigemoto R, Stackman R, Maylie J, Adelman J. 2011. The SK2-long isoform directs synaptic localization and function of SK2-containing channels. Nature Neuroscience. 14(6), 744–749.","ama":"Allen D, Bond C, Luján R, et al. The SK2-long isoform directs synaptic localization and function of SK2-containing channels. Nature Neuroscience. 2011;14(6):744-749. doi:10.1038/nn.2832","chicago":"Allen, Duane, Chris Bond, Rafael Luján, Carmen Ballesteros Merino, Michael Lin, Kang Wang, Nathan Klett, et al. “The SK2-Long Isoform Directs Synaptic Localization and Function of SK2-Containing Channels.” Nature Neuroscience. Nature Publishing Group, 2011. https://doi.org/10.1038/nn.2832.","short":"D. Allen, C. Bond, R. Luján, C. Ballesteros Merino, M. Lin, K. Wang, N. Klett, M. Watanabe, R. Shigemoto, R. Stackman, J. Maylie, J. Adelman, Nature Neuroscience 14 (2011) 744–749.","mla":"Allen, Duane, et al. “The SK2-Long Isoform Directs Synaptic Localization and Function of SK2-Containing Channels.” Nature Neuroscience, vol. 14, no. 6, Nature Publishing Group, 2011, pp. 744–49, doi:10.1038/nn.2832."},"publication":"Nature Neuroscience","month":"06","day":"01"},{"issue":"2","publist_id":"4175","abstract":[{"lang":"eng","text":"We consider Hermitian and symmetric random band matrices H in d ≥ 1 dimensions. The matrix elements H xy, indexed by, are independent, uniformly distributed random variables if {pipe}x-y{pipe} is less than the band width W, and zero otherwise. We prove that the time evolution of a quantum particle subject to the Hamiltonian H is diffusive on time scales. We also show that the localization length of the eigenvectors of H is larger than a factor W d/6 times the band width. All results are uniform in the size of the matrix. "}],"extern":1,"type":"journal_article","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös","full_name":"László Erdös"},{"first_name":"Antti","last_name":"Knowles","full_name":"Knowles, Antti"}],"volume":303,"date_created":"2018-12-11T11:59:14Z","date_updated":"2021-01-12T06:59:15Z","year":"2011","_id":"2717","publisher":"Springer","intvolume":" 303","status":"public","title":"Quantum diffusion and eigenfunction delocalization in a random band matrix model","publication_status":"published","month":"04","day":"01","doi":"10.1007/s00220-011-1204-2","date_published":"2011-04-01T00:00:00Z","citation":{"apa":"Erdös, L., & Knowles, A. (2011). Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-011-1204-2","ieee":"L. Erdös and A. Knowles, “Quantum diffusion and eigenfunction delocalization in a random band matrix model,” Communications in Mathematical Physics, vol. 303, no. 2. Springer, pp. 509–554, 2011.","ista":"Erdös L, Knowles A. 2011. Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. 303(2), 509–554.","ama":"Erdös L, Knowles A. Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. 2011;303(2):509-554. doi:10.1007/s00220-011-1204-2","chicago":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1204-2.","short":"L. Erdös, A. Knowles, Communications in Mathematical Physics 303 (2011) 509–554.","mla":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” Communications in Mathematical Physics, vol. 303, no. 2, Springer, 2011, pp. 509–54, doi:10.1007/s00220-011-1204-2."},"publication":"Communications in Mathematical Physics","page":"509 - 554","quality_controlled":0},{"type":"review","extern":1,"issue":"3","publist_id":"4125","abstract":[{"lang":"eng","text":"This is a study of the universality of spectral statistics for large random matrices. Considered are N×N symmetric, Hermitian, or quaternion self-dual random matrices with independent identically distributed entries (Wigner matrices), where the probability distribution of each matrix element is given by a measure v with zero expectation and with subexponential decay. The main result is that the correlation functions of the local eigenvalue statistics in the bulk of the spectrum coincide with those of the Gaussian Orthogonal Ensemble (GOE), the Gaussian Unitary Ensemble (GUE), and the Gaussian Symplectic Ensemble (GSE), respectively, in the limit as N → ∞. This approach is based on a study of the Dyson Brownian motion via a related new dynamics, the local relaxation flow. As a main input, it is established that the density of the eigenvalues converges to the Wigner semicircle law, and this holds even down to the smallest possible scale. Moreover, it is shown that the eigenvectors are completely delocalized. These results hold even without the condition that the matrix elements are identically distributed: only independence is used. In fact, for the matrix elements of the Green function strong estimates are given that imply that the local statistics of any two ensembles in the bulk are identical if the first four moments of the matrix elements match. Universality at the spectral edges requires matching only two moments. A Wigner-type estimate is also proved, and it is shown that the eigenvalues repel each other on arbitrarily small scales."}],"publisher":"IOP Publishing Ltd.","intvolume":" 66","status":"public","title":"Universality of Wigner random matrices: A survey of recent results","publication_status":"published","_id":"2765","year":"2011","volume":66,"date_updated":"2019-04-26T07:22:20Z","date_created":"2018-12-11T11:59:29Z","author":[{"full_name":"László Erdös","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603"}],"month":"01","day":"01","page":"507 - 626","quality_controlled":0,"citation":{"ama":"Erdös L. Universality of Wigner random matrices: A survey of recent results. Russian Mathematical Surveys. 2011;66(3):507-626. doi:10.1070/RM2011v066n03ABEH004749","ieee":"L. Erdös, “Universality of Wigner random matrices: A survey of recent results,” Russian Mathematical Surveys, vol. 66, no. 3. IOP Publishing Ltd., pp. 507–626, 2011.","apa":"Erdös, L. (2011). Universality of Wigner random matrices: A survey of recent results. Russian Mathematical Surveys. IOP Publishing Ltd. https://doi.org/10.1070/RM2011v066n03ABEH004749","ista":"Erdös L. 2011. Universality of Wigner random matrices: A survey of recent results. Russian Mathematical Surveys. 66(3), 507–626.","short":"L. Erdös, Russian Mathematical Surveys 66 (2011) 507–626.","mla":"Erdös, László. “Universality of Wigner Random Matrices: A Survey of Recent Results.” Russian Mathematical Surveys, vol. 66, no. 3, IOP Publishing Ltd., 2011, pp. 507–626, doi:10.1070/RM2011v066n03ABEH004749.","chicago":"Erdös, László. “Universality of Wigner Random Matrices: A Survey of Recent Results.” Russian Mathematical Surveys. IOP Publishing Ltd., 2011. https://doi.org/10.1070/RM2011v066n03ABEH004749."},"main_file_link":[{"open_access":"0","url":"http://arxiv.org/abs/1004.0861"}],"publication":"Russian Mathematical Surveys","date_published":"2011-01-01T00:00:00Z","doi":"10.1070/RM2011v066n03ABEH004749"},{"day":"01","month":"11","doi":"10.1007/s00023-011-0104-5","date_published":"2011-11-01T00:00:00Z","citation":{"chicago":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Delocalization for Band Matrices with General Distribution.” Annales Henri Poincare. Birkhäuser, 2011. https://doi.org/10.1007/s00023-011-0104-5.","short":"L. Erdös, A. Knowles, Annales Henri Poincare 12 (2011) 1227–1319.","mla":"Erdös, László, and Antti Knowles. “Quantum Diffusion and Delocalization for Band Matrices with General Distribution.” Annales Henri Poincare, vol. 12, no. 7, Birkhäuser, 2011, pp. 1227–319, doi:10.1007/s00023-011-0104-5.","apa":"Erdös, L., & Knowles, A. (2011). Quantum diffusion and delocalization for band matrices with general distribution. Annales Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-011-0104-5","ieee":"L. Erdös and A. Knowles, “Quantum diffusion and delocalization for band matrices with general distribution,” Annales Henri Poincare, vol. 12, no. 7. Birkhäuser, pp. 1227–1319, 2011.","ista":"Erdös L, Knowles A. 2011. Quantum diffusion and delocalization for band matrices with general distribution. Annales Henri Poincare. 12(7), 1227–1319.","ama":"Erdös L, Knowles A. Quantum diffusion and delocalization for band matrices with general distribution. Annales Henri Poincare. 2011;12(7):1227-1319. doi:10.1007/s00023-011-0104-5"},"publication":"Annales Henri Poincare","page":"1227 - 1319","quality_controlled":0,"issue":"7","publist_id":"4124","abstract":[{"text":"We consider Hermitian and symmetric random band matrices H in d ≥ dimensions. The matrix elements Hxy, indexed by x,y ∈ Λ ⊂ ℤd are independent and their variances satisfy σ2xy:= E{pipe}Hxy{pipe}2 = W-d f((x-y)/W for some probability density f. We assume that the law of each matrix element Hxy is symmetric and exhibits subexponential decay. We prove that the time evolution of a quantum particle subject to the Hamiltonian H is diffusive on time scales ≪ Wd/3. We also show that the localization length of the eigenvectors of H is larger than a factor Wd/6 times the band width W. All results are uniform in the size {pipe}Λ{pipe} of the matrix. This extends our recent result (Erdo{double acute}s and Knowles in Commun. Math. Phys., 2011) to general band matrices. As another consequence of our proof we show that, for a larger class of random matrices satisfying Σx σ2xy for all y, the largest eigenvalue of H is bounded with high probability by 2+M-2/3+e{open} for any e{open} > 0, where M:= 1/(maxx,y σ2xy).","lang":"eng"}],"extern":1,"type":"journal_article","author":[{"full_name":"László Erdös","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603"},{"full_name":"Knowles, Antti","last_name":"Knowles","first_name":"Antti"}],"volume":12,"date_updated":"2021-01-12T06:59:33Z","date_created":"2018-12-11T11:59:29Z","_id":"2766","year":"2011","intvolume":" 12","publisher":"Birkhäuser","publication_status":"published","status":"public","title":"Quantum diffusion and delocalization for band matrices with general distribution"},{"doi":"10.1007/s00222-010-0302-7","date_published":"2011-07-01T00:00:00Z","citation":{"short":"L. Erdös, B. Schlein, H. Yau, Inventiones Mathematicae 185 (2011) 75–119.","mla":"Erdös, László, et al. “Universality of Random Matrices and Local Relaxation Flow.” Inventiones Mathematicae, vol. 185, no. 1, Springer, 2011, pp. 75–119, doi:10.1007/s00222-010-0302-7.","chicago":"Erdös, László, Benjamin Schlein, and Horng Yau. “Universality of Random Matrices and Local Relaxation Flow.” Inventiones Mathematicae. Springer, 2011. https://doi.org/10.1007/s00222-010-0302-7.","ama":"Erdös L, Schlein B, Yau H. Universality of random matrices and local relaxation flow. Inventiones Mathematicae. 2011;185(1):75-119. doi:10.1007/s00222-010-0302-7","apa":"Erdös, L., Schlein, B., & Yau, H. (2011). Universality of random matrices and local relaxation flow. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-010-0302-7","ieee":"L. Erdös, B. Schlein, and H. Yau, “Universality of random matrices and local relaxation flow,” Inventiones Mathematicae, vol. 185, no. 1. Springer, pp. 75–119, 2011.","ista":"Erdös L, Schlein B, Yau H. 2011. Universality of random matrices and local relaxation flow. Inventiones Mathematicae. 185(1), 75–119."},"publication":"Inventiones Mathematicae","page":"75 - 119","quality_controlled":0,"day":"01","month":"07","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös","full_name":"László Erdös"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"full_name":"Yau, Horng-Tzer","first_name":"Horng","last_name":"Yau"}],"volume":185,"date_created":"2018-12-11T11:59:29Z","date_updated":"2021-01-12T06:59:32Z","_id":"2764","year":"2011","publisher":"Springer","intvolume":" 185","title":"Universality of random matrices and local relaxation flow","status":"public","publication_status":"published","publist_id":"4126","issue":"1","abstract":[{"lang":"eng","text":"Consider the Dyson Brownian motion with parameter β, where β=1,2,4 corresponds to the eigenvalue flows for the eigenvalues of symmetric, hermitian and quaternion self-dual ensembles. For any β≥1, we prove that the relaxation time to local equilibrium for the Dyson Brownian motion is bounded above by N -ζ for some ζ> 0. The proof is based on an estimate of the entropy flow of the Dyson Brownian motion w. r. t. a "pseudo equilibrium measure". As an application of this estimate, we prove that the eigenvalue spacing statistics in the bulk of the spectrum for N×N symmetric Wigner ensemble is the same as that of the Gaussian Orthogonal Ensemble (GOE) in the limit N→∞. The assumptions on the probability distribution of the matrix elements of the Wigner ensemble are a subexponential decay and some minor restriction on the support."}],"extern":1,"type":"journal_article"},{"author":[{"full_name":"Avila, Kerstin","first_name":"Kerstin","last_name":"Avila"},{"full_name":"Moxey, David","first_name":"David","last_name":"Moxey"},{"full_name":"de Lózar, Alberto","first_name":"Alberto","last_name":"De Lózar"},{"first_name":"Marc","last_name":"Avila","full_name":"Avila, Marc"},{"full_name":"Barkley, Dwight","last_name":"Barkley","first_name":"Dwight"},{"full_name":"Björn Hof","last_name":"Hof","first_name":"Björn","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87"}],"volume":333,"date_updated":"2021-01-12T06:59:47Z","date_created":"2018-12-11T11:59:39Z","year":"2011","_id":"2799","intvolume":" 333","publisher":"American Association for the Advancement of Science","status":"public","publication_status":"published","title":"The onset of turbulence in pipe flow","issue":"6039","publist_id":"4090","abstract":[{"lang":"eng","text":"Shear flows undergo a sudden transition from laminar to turbulent motion as the velocity increases, and the onset of turbulence radically changes transport efficiency and mixing properties. Even for the well-studied case of pipe flow, it has not been possible to determine at what Reynolds number the motion will be either persistently turbulent or ultimately laminar. We show that in pipes, turbulence that is transient at low Reynolds numbers becomes sustained at a distinct critical point. Through extensive experiments and computer simulations, we were able to identify and characterize the processes ultimately responsible for sustaining turbulence. In contrast to the classical Landau-Ruelle-Takens view that turbulence arises from an increase in the temporal complexity of fluid motion, here, spatial proliferation of chaotic domains is the decisive process and intrinsic to the nature of fluid turbulence."}],"extern":1,"type":"journal_article","date_published":"2011-07-08T00:00:00Z","doi":"10.1126/science.1203223","citation":{"ama":"Avila K, Moxey D, De Lózar A, Avila M, Barkley D, Hof B. The onset of turbulence in pipe flow. Science. 2011;333(6039):192-196. doi:10.1126/science.1203223","ista":"Avila K, Moxey D, De Lózar A, Avila M, Barkley D, Hof B. 2011. The onset of turbulence in pipe flow. Science. 333(6039), 192–196.","apa":"Avila, K., Moxey, D., De Lózar, A., Avila, M., Barkley, D., & Hof, B. (2011). The onset of turbulence in pipe flow. Science. American Association for the Advancement of Science. https://doi.org/10.1126/science.1203223","ieee":"K. Avila, D. Moxey, A. De Lózar, M. Avila, D. Barkley, and B. Hof, “The onset of turbulence in pipe flow,” Science, vol. 333, no. 6039. American Association for the Advancement of Science, pp. 192–196, 2011.","mla":"Avila, Kerstin, et al. “The Onset of Turbulence in Pipe Flow.” Science, vol. 333, no. 6039, American Association for the Advancement of Science, 2011, pp. 192–96, doi:10.1126/science.1203223.","short":"K. Avila, D. Moxey, A. De Lózar, M. Avila, D. Barkley, B. Hof, Science 333 (2011) 192–196.","chicago":"Avila, Kerstin, David Moxey, Alberto De Lózar, Marc Avila, Dwight Barkley, and Björn Hof. “The Onset of Turbulence in Pipe Flow.” Science. American Association for the Advancement of Science, 2011. https://doi.org/10.1126/science.1203223."},"publication":"Science","page":"192 - 196","quality_controlled":0,"day":"08","month":"07"}]