[{"month":"07","day":"01","quality_controlled":0,"publication":"Reviews in Mathematical Physics","main_file_link":[{"url":"http://arxiv.org/abs/1109.3804","open_access":"1"}],"citation":{"chicago":"Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.","short":"V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).","mla":"Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific Publishing, 2012, doi:10.1142/S0129055X12300026.","apa":"Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026","ieee":"V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics, vol. 24, no. 6. World Scientific Publishing, 2012.","ista":"Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).","ama":"Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 2012;24(6). doi:10.1142/S0129055X12300026"},"oa":1,"doi":"10.1142/S0129055X12300026","date_published":"2012-07-01T00:00:00Z","type":"review","extern":1,"abstract":[{"text":"We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time.","lang":"eng"}],"issue":"6","publist_id":"4528","title":"Quantum hypothesis testing and non-equilibrium statistical mechanics","publication_status":"published","status":"public","intvolume":" 24","publisher":"World Scientific Publishing","_id":"2398","year":"2012","date_created":"2018-12-11T11:57:26Z","date_updated":"2020-07-14T12:45:40Z","volume":24,"author":[{"full_name":"Jakšić, Vojkan","first_name":"Vojkan","last_name":"Jakšić"},{"full_name":"Ogata, Yoshiko","last_name":"Ogata","first_name":"Yoshiko"},{"first_name":"Claude","last_name":"Pillet","full_name":"Pillet, Claude A"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}]},{"title":"Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs","publication_status":"published","status":"public","intvolume":" 100","publisher":"Springer","year":"2012","_id":"2397","date_updated":"2021-01-12T06:57:14Z","date_created":"2018-12-11T11:57:25Z","volume":100,"author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"type":"journal_article","extern":1,"abstract":[{"lang":"eng","text":"We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs."}],"publist_id":"4530","issue":"2","quality_controlled":0,"page":"119 - 138","publication":"Letters in Mathematical Physics","main_file_link":[{"url":"http://arxiv.org/abs/1105.1100","open_access":"1"}],"citation":{"chicago":"Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4.","mla":"Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.","ista":"Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.","ieee":"C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100, no. 2. Springer, pp. 119–138, 2012.","apa":"Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-011-0535-4","ama":"Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 2012;100(2):119-138. doi:10.1007/s11005-011-0535-4"},"oa":1,"doi":"10.1007/s11005-011-0535-4","date_published":"2012-05-01T00:00:00Z","month":"05","day":"01"},{"year":"2012","_id":"240","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","status":"public","publication_status":"published","title":"Sums of three squareful numbers","intvolume":" 21","publisher":"Taylor & Francis","author":[{"full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning"},{"first_name":"K Van","last_name":"Valckenborgh","full_name":"Valckenborgh, K Van"}],"date_created":"2018-12-11T11:45:23Z","date_updated":"2021-01-12T06:57:15Z","volume":21,"type":"journal_article","abstract":[{"text":"We investigate the frequency of positive squareful numbers x, y, z≤B for which x+y=z and present a conjecture concerning its asymptotic behavior.","lang":"eng"}],"issue":"2","publist_id":"7664","extern":1,"publication":"Experimental Mathematics","citation":{"ista":"Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.","apa":"Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733","ieee":"T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211, 2012.","ama":"Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733","chicago":"Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics. Taylor & Francis, 2012. https://doi.org/10.1080/10586458.2011.605733.","mla":"Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp. 204–11, doi:10.1080/10586458.2011.605733.","short":"T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211."},"quality_controlled":0,"page":"204 - 211","date_published":"2012-05-23T00:00:00Z","doi":"10.1080/10586458.2011.605733","month":"05","day":"23"},{"quality_controlled":0,"page":"405 - 424","publication":"Communications in Mathematical Physics","citation":{"mla":"Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.","short":"R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.","chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1436-9.","ama":"Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 2012;313(2):405-424. doi:10.1007/s00220-012-1436-9","ista":"Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424.","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” Communications in Mathematical Physics, vol. 313, no. 2. Springer, pp. 405–424, 2012.","apa":"Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms at threshold. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1436-9"},"oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1106.0729"}],"doi":"10.1007/s00220-012-1436-9","date_published":"2012-07-01T00:00:00Z","day":"01","month":"07","status":"public","publication_status":"published","title":"Binding of polarons and atoms at threshold","publisher":"Springer","intvolume":" 313","year":"2012","_id":"2400","date_created":"2018-12-11T11:57:27Z","date_updated":"2021-01-12T06:57:15Z","volume":313,"author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert L"},{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"type":"journal_article","extern":1,"abstract":[{"lang":"eng","text":"If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2."}],"issue":"2","publist_id":"4527"},{"date_published":"2012-11-01T00:00:00Z","doi":"10.1088/1742-5468/2012/11/P11007","publication":"Journal of Statistical Mechanics Theory and Experiment","citation":{"ama":"Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012;2012(11). doi:10.1088/1742-5468/2012/11/P11007","ista":"Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012(11).","apa":"Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd. https://doi.org/10.1088/1742-5468/2012/11/P11007","ieee":"R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11. IOP Publishing Ltd., 2012.","mla":"Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.","short":"R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).","chicago":"Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007."},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1207.7054"}],"oa":1,"quality_controlled":0,"month":"11","day":"01","author":[{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer"},{"first_name":"Jakob","last_name":"Yngvason","full_name":"Yngvason, Jakob"},{"full_name":"Zagrebnov, Valentin A","first_name":"Valentin","last_name":"Zagrebnov"}],"date_created":"2018-12-11T11:57:28Z","date_updated":"2021-01-12T06:57:16Z","volume":2012,"year":"2012","_id":"2403","publication_status":"published","status":"public","title":"Disordered Bose-Einstein condensates with interaction in one dimension","intvolume":" 2012","publisher":"IOP Publishing Ltd.","abstract":[{"lang":"eng","text":"We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose-Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers and strong interactions the wavefunction extends over the whole interval. A high density of scatterers and weak interactions, on the other hand, lead to localization of the wavefunction in a fragmented subset of the interval."}],"publist_id":"4523","issue":"11","extern":1,"type":"journal_article"},{"month":"09","day":"28","date_published":"2012-09-28T00:00:00Z","doi":"10.1063/1.3697416","quality_controlled":0,"publication":"Journal of Mathematical Physics","oa":1,"citation":{"chicago":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416.","mla":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.","short":"R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).","ista":"Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).","apa":"Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.3697416","ieee":"R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” Journal of Mathematical Physics, vol. 53, no. 9. American Institute of Physics, 2012.","ama":"Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697416"},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1112.5617"}],"extern":1,"abstract":[{"text":"We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from below by a constant times the integral of the particle density to the power.","lang":"eng"}],"issue":"9","publist_id":"4524","type":"journal_article","date_created":"2018-12-11T11:57:27Z","date_updated":"2021-01-12T06:57:16Z","volume":53,"author":[{"full_name":"Frank, Rupert L","last_name":"Frank","first_name":"Rupert"},{"full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"status":"public","title":"Lieb-Thirring inequality for a model of particles with point interactions","publication_status":"published","publisher":"American Institute of Physics","intvolume":" 53","year":"2012","_id":"2402"},{"_id":"2401","year":"2012","intvolume":" 149","publisher":"Springer","publication_status":"published","status":"public","title":"Further implications of the Bessis-Moussa-Villani conjecture","author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer"}],"volume":149,"date_created":"2018-12-11T11:57:27Z","date_updated":"2021-01-12T06:57:16Z","type":"journal_article","publist_id":"4525","issue":"1","abstract":[{"text":"We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].","lang":"eng"}],"extern":1,"oa":1,"citation":{"mla":"Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:10.1007/s10955-012-0585-8.","short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.","chicago":"Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0585-8.","ama":"Lieb É, Seiringer R. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 2012;149(1):86-91. doi:10.1007/s10955-012-0585-8","ista":"Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91.","apa":"Lieb, É., & Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-012-0585-8","ieee":"É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani conjecture,” Journal of Statistical Physics, vol. 149, no. 1. Springer, pp. 86–91, 2012."},"main_file_link":[{"url":"http://arxiv.org/abs/1206.0460","open_access":"1"}],"publication":"Journal of Statistical Physics","page":"86 - 91","quality_controlled":0,"date_published":"2012-10-01T00:00:00Z","doi":"10.1007/s10955-012-0585-8","day":"01","month":"10"},{"day":"01","has_accepted_license":"1","scopus_import":1,"date_published":"2012-05-01T00:00:00Z","page":"1319 - 1334","publication":"Molecular Biology and Evolution","citation":{"ista":"Ebersberger I, De Matos Simoes R, Kupczok A, Gube M, Kothe E, Voigt K, Von Haeseler A. 2012. A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. 29(5), 1319–1334.","apa":"Ebersberger, I., De Matos Simoes, R., Kupczok, A., Gube, M., Kothe, E., Voigt, K., & Von Haeseler, A. (2012). A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. Oxford University Press. https://doi.org/10.1093/molbev/msr285","ieee":"I. Ebersberger et al., “A consistent phylogenetic backbone for the fungi,” Molecular Biology and Evolution, vol. 29, no. 5. Oxford University Press, pp. 1319–1334, 2012.","ama":"Ebersberger I, De Matos Simoes R, Kupczok A, et al. A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. 2012;29(5):1319-1334. doi:10.1093/molbev/msr285","chicago":"Ebersberger, Ingo, Ricardo De Matos Simoes, Anne Kupczok, Matthias Gube, Erika Kothe, Kerstin Voigt, and Arndt Von Haeseler. “A Consistent Phylogenetic Backbone for the Fungi.” Molecular Biology and Evolution. Oxford University Press, 2012. https://doi.org/10.1093/molbev/msr285.","mla":"Ebersberger, Ingo, et al. “A Consistent Phylogenetic Backbone for the Fungi.” Molecular Biology and Evolution, vol. 29, no. 5, Oxford University Press, 2012, pp. 1319–34, doi:10.1093/molbev/msr285.","short":"I. Ebersberger, R. De Matos Simoes, A. Kupczok, M. Gube, E. Kothe, K. Voigt, A. Von Haeseler, Molecular Biology and Evolution 29 (2012) 1319–1334."},"abstract":[{"lang":"eng","text":"The kingdom of fungi provides model organisms for biotechnology, cell biology, genetics, and life sciences in general. Only when their phylogenetic relationships are stably resolved, can individual results from fungal research be integrated into a holistic picture of biology. However, and despite recent progress, many deep relationships within the fungi remain unclear. Here, we present the first phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion to strengthen phylogenetic conclusions. We reason that branches (splits) recovered with independent data and different tree reconstruction methods are likely to reflect true evolutionary relationships. Two complementary phylogenomic data sets based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed with four different tree reconstruction methods shed light from different angles on the fungal tree of life. Eleven additional data sets address specifically the phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes, respectively. The combined evidence from the resulting trees supports the deep-level stability of the fungal groups toward a comprehensive natural system of the fungi. In addition, our analysis reveals methodologically interesting aspects. Enrichment for EST encoded data-a common practice in phylogenomic analyses-introduces a strong bias toward slowly evolving and functionally correlated genes. Consequently, the generalization of phylogenomic data sets as collections of randomly selected genes cannot be taken for granted. A thorough characterization of the data to assess possible influences on the tree reconstruction should therefore become a standard in phylogenomic analyses."}],"issue":"5","type":"journal_article","oa_version":"Published Version","file":[{"checksum":"d565dcac27d1736c0c378ea6fcf22d69","date_updated":"2020-07-14T12:45:40Z","date_created":"2018-12-12T10:13:30Z","file_id":"5013","relation":"main_file","creator":"system","file_size":754922,"content_type":"application/pdf","access_level":"open_access","file_name":"IST-2015-384-v1+1_Mol_Biol_Evol-2012-Ebersberger-1319-34.pdf"}],"pubrep_id":"384","title":"A consistent phylogenetic backbone for the fungi","status":"public","ddc":["570","576"],"intvolume":" 29","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"2411","month":"05","language":[{"iso":"eng"}],"doi":"10.1093/molbev/msr285","quality_controlled":"1","oa":1,"tmp":{"name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)"},"license":"https://creativecommons.org/licenses/by-nc/4.0/","file_date_updated":"2020-07-14T12:45:40Z","publist_id":"4515","date_updated":"2021-01-12T06:57:19Z","date_created":"2018-12-11T11:57:30Z","volume":29,"author":[{"first_name":"Ingo","last_name":"Ebersberger","full_name":"Ebersberger, Ingo"},{"first_name":"Ricardo","last_name":"De Matos Simoes","full_name":"De Matos Simoes, Ricardo"},{"id":"2BB22BC2-F248-11E8-B48F-1D18A9856A87","last_name":"Kupczok","first_name":"Anne","full_name":"Kupczok, Anne"},{"last_name":"Gube","first_name":"Matthias","full_name":"Gube, Matthias"},{"full_name":"Kothe, Erika","last_name":"Kothe","first_name":"Erika"},{"last_name":"Voigt","first_name":"Kerstin","full_name":"Voigt, Kerstin"},{"first_name":"Arndt","last_name":"Von Haeseler","full_name":"Von Haeseler, Arndt"}],"publication_status":"published","department":[{"_id":"JoBo"}],"publisher":"Oxford University Press","year":"2012"},{"doi":"10.1007/s11856-012-0019-y","date_published":"2012-02-28T00:00:00Z","publication":"Israel Journal of Mathematics","citation":{"mla":"De La Bretèche, Régis, and Timothy D. Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” Israel Journal of Mathematics, vol. 191, no. 2, Springer, 2012, pp. 973–1012, doi:10.1007/s11856-012-0019-y.","short":"R. De La Bretèche, T.D. Browning, Israel Journal of Mathematics 191 (2012) 973–1012.","chicago":"De La Bretèche, Régis, and Timothy D Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” Israel Journal of Mathematics. Springer, 2012. https://doi.org/10.1007/s11856-012-0019-y.","ama":"De La Bretèche R, Browning TD. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 2012;191(2):973-1012. doi:10.1007/s11856-012-0019-y","ista":"De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012.","ieee":"R. De La Bretèche and T. D. Browning, “Binary forms as sums of two squares and Châtelet surfaces,” Israel Journal of Mathematics, vol. 191, no. 2. Springer, pp. 973–1012, 2012.","apa":"De La Bretèche, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-012-0019-y"},"quality_controlled":0,"page":"973 - 1012","day":"28","month":"02","author":[{"full_name":"de la Bretèche, Régis","last_name":"De La Bretèche","first_name":"Régis"},{"full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning"}],"date_updated":"2021-01-12T06:57:19Z","date_created":"2018-12-11T11:45:23Z","volume":191,"year":"2012","_id":"241","publication_status":"published","title":"Binary forms as sums of two squares and Châtelet surfaces","status":"public","intvolume":" 191","publisher":"Springer","abstract":[{"text":"The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Châtelet surfaces over ℚ.","lang":"eng"}],"issue":"2","publist_id":"7663","extern":1,"type":"journal_article"},{"extern":1,"publist_id":"7662","issue":"3","abstract":[{"lang":"eng","text":"We investigate the first and second moments of shifted convolutions of the generalized divisor function d 3(n)."}],"type":"journal_article","volume":55,"date_updated":"2021-01-12T06:57:23Z","date_created":"2018-12-11T11:45:23Z","author":[{"full_name":"Baier, Stephan","last_name":"Baier","first_name":"Stephan"},{"full_name":"Timothy Browning","first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"},{"first_name":"Gihan","last_name":"Marasingha","full_name":"Marasingha, Gihan"},{"full_name":"Zhao, Liangyi","last_name":"Zhao","first_name":"Liangyi"}],"intvolume":" 55","publisher":"Cambridge University Press","title":"Averages of shifted convolutions of d3 (n)","publication_status":"published","status":"public","_id":"242","year":"2012","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","day":"01","month":"10","doi":"10.1017/S001309151100037X","date_published":"2012-10-01T00:00:00Z","page":"551 - 576","quality_controlled":0,"main_file_link":[{"url":"https://arxiv.org/abs/1101.5464","open_access":"1"}],"oa":1,"citation":{"short":"S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh Mathematical Society 55 (2012) 551–576.","mla":"Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3, Cambridge University Press, 2012, pp. 551–76, doi:10.1017/S001309151100037X.","chicago":"Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2012. https://doi.org/10.1017/S001309151100037X.","ama":"Baier S, Browning TD, Marasingha G, Zhao L. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 2012;55(3):551-576. doi:10.1017/S001309151100037X","apa":"Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. Cambridge University Press. https://doi.org/10.1017/S001309151100037X","ieee":"S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted convolutions of d3 (n),” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012.","ista":"Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576."},"publication":"Proceedings of the Edinburgh Mathematical Society"},{"citation":{"ieee":"T. D. Browning and R. Heath Brown, “Quadratic polynomials represented by norm forms,” Geometric and Functional Analysis, vol. 22, no. 5. Springer Basel, pp. 1124–1190, 2012.","apa":"Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. Springer Basel. https://doi.org/10.1007/s00039-012-0168-5","ista":"Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190.","ama":"Browning TD, Heath Brown R. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 2012;22(5):1124-1190. doi:10.1007/s00039-012-0168-5","chicago":"Browning, Timothy D, and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” Geometric and Functional Analysis. Springer Basel, 2012. https://doi.org/10.1007/s00039-012-0168-5.","short":"T.D. Browning, R. Heath Brown, Geometric and Functional Analysis 22 (2012) 1124–1190.","mla":"Browning, Timothy D., and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” Geometric and Functional Analysis, vol. 22, no. 5, Springer Basel, 2012, pp. 1124–90, doi:10.1007/s00039-012-0168-5."},"publication":"Geometric and Functional Analysis","page":"1124 - 1190","quality_controlled":0,"doi":"10.1007/s00039-012-0168-5","date_published":"2012-08-25T00:00:00Z","day":"25","month":"08","year":"2012","_id":"243","intvolume":" 22","publisher":"Springer Basel","status":"public","title":"Quadratic polynomials represented by norm forms","publication_status":"published","author":[{"first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Timothy Browning"},{"full_name":"Heath-Brown, Roger","last_name":"Heath Brown","first_name":"Roger"}],"volume":22,"date_created":"2018-12-11T11:45:24Z","date_updated":"2021-01-12T06:57:26Z","type":"journal_article","issue":"5","publist_id":"7661","abstract":[{"lang":"eng","text":"Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ℚ containing the roots of P(t). Let N K/ℚ(X) be a full norm form for the extension K/ℚ. We show that the variety P(t) =N K/ℚ(X)≠ 0 satisfies the Hasse principle and weak approximation. The proof uses analytic methods."}],"extern":1},{"type":"conference","extern":1,"abstract":[{"lang":"eng","text":"We present an algorithm for computing [X, Y], i.e., all homotopy classes of continuous maps X → Y, where X, Y are topological spaces given as finite simplicial complexes, Y is (d - 1)-connected for some d ≥ 2 (for example, Y can be the d-dimensional sphere S d), and dim X ≤ 2d - 2. These conditions on X, Y guarantee that [X, Y] has a natural structure of a finitely generated Abelian group, and the algorithm finds generators and relations for it. We combine several tools and ideas from homotopy theory (such as Postnikov systems, simplicial sets, and obstruction theory) with algorithmic tools from effective algebraic topology (objects with effective homology). We hope that a further extension of the methods developed here will yield an algorithm for computing, in some cases of interest, the ℤ 2-index, which is a quantity playing a prominent role in Borsuk-Ulam style applications of topology in combinatorics and geometry, e.g., in topological lower bounds for the chromatic number of a graph. In a certain range of dimensions, deciding the embeddability of a simplicial complex into ℝ d also amounts to a ℤ 2-index computation. This is the main motivation of our work. We believe that investigating the computational complexity of questions in homotopy theory and similar areas presents a fascinating research area, and we hope that our work may help bridge the cultural gap between algebraic topology and theoretical computer science."}],"publist_id":"4466","status":"public","publication_status":"published","title":"Computing all maps into a sphere","publisher":"SIAM","_id":"2440","year":"2012","date_updated":"2021-01-12T06:57:30Z","date_created":"2018-12-11T11:57:40Z","author":[{"first_name":"Martin","last_name":"Čadek","full_name":"Čadek, Martin"},{"last_name":"Krcál","first_name":"Marek","id":"33E21118-F248-11E8-B48F-1D18A9856A87","full_name":"Marek Krcál"},{"full_name":"Matoušek, Jiří","last_name":"Matoušek","first_name":"Jiří"},{"full_name":"Sergeraert, Francis","last_name":"Sergeraert","first_name":"Francis"},{"first_name":"Lukáš","last_name":"Vokřínek","full_name":"Vokřínek, Lukáš"},{"full_name":"Uli Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","first_name":"Uli","last_name":"Wagner"}],"month":"01","day":"01","quality_controlled":0,"page":"1 - 10","main_file_link":[{"open_access":"0","url":"http://arxiv.org/abs/1105.6257"}],"citation":{"chicago":"Čadek, Martin, Marek Krcál, Jiří Matoušek, Francis Sergeraert, Lukáš Vokřínek, and Uli Wagner. “Computing All Maps into a Sphere,” 1–10. SIAM, 2012.","mla":"Čadek, Martin, et al. Computing All Maps into a Sphere. SIAM, 2012, pp. 1–10.","short":"M. Čadek, M. Krcál, J. Matoušek, F. Sergeraert, L. Vokřínek, U. Wagner, in:, SIAM, 2012, pp. 1–10.","ista":"Čadek M, Krcál M, Matoušek J, Sergeraert F, Vokřínek L, Wagner U. 2012. Computing all maps into a sphere. SODA: Symposium on Discrete Algorithms, 1–10.","ieee":"M. Čadek, M. Krcál, J. Matoušek, F. Sergeraert, L. Vokřínek, and U. Wagner, “Computing all maps into a sphere,” presented at the SODA: Symposium on Discrete Algorithms, 2012, pp. 1–10.","apa":"Čadek, M., Krcál, M., Matoušek, J., Sergeraert, F., Vokřínek, L., & Wagner, U. (2012). Computing all maps into a sphere (pp. 1–10). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.","ama":"Čadek M, Krcál M, Matoušek J, Sergeraert F, Vokřínek L, Wagner U. Computing all maps into a sphere. In: SIAM; 2012:1-10."},"conference":{"name":"SODA: Symposium on Discrete Algorithms"},"date_published":"2012-01-01T00:00:00Z"},{"status":"public","publication_status":"published","title":"A geometric proof of the colored Tverberg theorem","publisher":"Springer","intvolume":" 47","acknowledgement":"We would like to thank Marek Krcál for useful discussions at initial stages of this research. We also thank Günter M. Ziegler for valuable comments, and Peter Landweber and two anonymous referees for detailed comments and corrections that greatly helped to improve the presentation. In particular, we are indebted to one of the referees for pointing out to us reference [19]. M. Tancer is supported by the grants SVV-2010-261313 (Discrete Methods and Algorithms) and GAUK 49209. U. Wagner’s research is supported by the Swiss National Science Foundation (SNF Projects 200021- 125309 and 200020-125027). ","_id":"2438","year":"2012","date_updated":"2021-01-12T06:57:29Z","date_created":"2018-12-11T11:57:39Z","volume":47,"author":[{"full_name":"Matoušek, Jiří","last_name":"Matoušek","first_name":"Jiří"},{"full_name":"Martin Tancer","orcid":"0000-0002-1191-6714","id":"38AC689C-F248-11E8-B48F-1D18A9856A87","last_name":"Tancer","first_name":"Martin"},{"id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","first_name":"Uli","last_name":"Wagner","full_name":"Uli Wagner"}],"type":"journal_article","extern":1,"abstract":[{"lang":"eng","text":"The colored Tverberg theorem asserts that for eve;ry d and r there exists t=t(d,r) such that for every set C ⊂ ℝ d of cardinality (d + 1)t, partitioned into t-point subsets C 1, C 2,...,C d+1 (which we think of as color classes; e. g., the points of C 1 are red, the points of C 2 blue, etc.), there exist r disjoint sets R 1, R 2,...,R r⊆C that are rainbow, meaning that {pipe}R i∩C j{pipe}≤1 for every i,j, and whose convex hulls all have a common point. All known proofs of this theorem are topological. We present a geometric version of a recent beautiful proof by Blagojević, Matschke, and Ziegler, avoiding a direct use of topological methods. The purpose of this de-topologization is to make the proof more concrete and intuitive, and accessible to a wider audience."}],"publist_id":"4468","issue":"2","quality_controlled":0,"page":"245 - 265","publication":"Discrete & Computational Geometry","citation":{"short":"J. Matoušek, M. Tancer, U. Wagner, Discrete & Computational Geometry 47 (2012) 245–265.","mla":"Matoušek, Jiří, et al. “A Geometric Proof of the Colored Tverberg Theorem.” Discrete & Computational Geometry, vol. 47, no. 2, Springer, 2012, pp. 245–65, doi:10.1007/s00454-011-9368-2.","chicago":"Matoušek, Jiří, Martin Tancer, and Uli Wagner. “A Geometric Proof of the Colored Tverberg Theorem.” Discrete & Computational Geometry. Springer, 2012. https://doi.org/10.1007/s00454-011-9368-2.","ama":"Matoušek J, Tancer M, Wagner U. A geometric proof of the colored Tverberg theorem. Discrete & Computational Geometry. 2012;47(2):245-265. doi:10.1007/s00454-011-9368-2","ieee":"J. Matoušek, M. Tancer, and U. Wagner, “A geometric proof of the colored Tverberg theorem,” Discrete & Computational Geometry, vol. 47, no. 2. Springer, pp. 245–265, 2012.","apa":"Matoušek, J., Tancer, M., & Wagner, U. (2012). A geometric proof of the colored Tverberg theorem. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-011-9368-2","ista":"Matoušek J, Tancer M, Wagner U. 2012. A geometric proof of the colored Tverberg theorem. Discrete & Computational Geometry. 47(2), 245–265."},"date_published":"2012-03-01T00:00:00Z","doi":"10.1007/s00454-011-9368-2","month":"03","day":"01"},{"day":"30","month":"11","date_published":"2012-11-30T00:00:00Z","doi":" https://doi.org/10.1142/S1793042112501448","quality_controlled":0,"page":"481 - 486","publication":"International Journal of Number Theory","citation":{"ama":"Browning TD, Haynes A. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 2012;9(2):481-486. doi: https://doi.org/10.1142/S1793042112501448","ista":"Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.","ieee":"T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative inverses in short intervals,” International Journal of Number Theory, vol. 9, no. 2. World Scientific Publishing, pp. 481–486, 2012.","apa":"Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. World Scientific Publishing. https://doi.org/ https://doi.org/10.1142/S1793042112501448","mla":"Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” International Journal of Number Theory, vol. 9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi: https://doi.org/10.1142/S1793042112501448.","short":"T.D. Browning, A. Haynes, International Journal of Number Theory 9 (2012) 481–486.","chicago":"Browning, Timothy D, and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” International Journal of Number Theory. World Scientific Publishing, 2012. https://doi.org/ https://doi.org/10.1142/S1793042112501448."},"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1204.6374","open_access":"1"}],"extern":1,"abstract":[{"text":"We investigate the solubility of the congruence xy ≡ 1 (mod p), where p is a prime and x, y are restricted to lie in suitable short intervals. Our work relies on a mean value theorem for incomplete Kloosterman sums.","lang":"eng"}],"publist_id":"7660","issue":"2","type":"journal_article","date_updated":"2021-01-12T06:57:30Z","date_created":"2018-12-11T11:45:24Z","volume":9,"author":[{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D","full_name":"Timothy Browning"},{"full_name":"Haynes, Alan K","last_name":"Haynes","first_name":"Alan"}],"status":"public","publication_status":"published","title":"Incomplete kloosterman sums and multiplicative inverses in short intervals","intvolume":" 9","publisher":"World Scientific Publishing","_id":"244","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council\tEPSRC,\nEP/J00149X/1\tEngineering and Physical Sciences Research Council\tEPSRC\t","year":"2012"},{"doi":"10.1016/j.comgeo.2012.03.001","date_published":"2012-07-01T00:00:00Z","publication":"Computational Geometry: Theory and Applications","citation":{"ama":"Chen D, Morin P, Wagner U. Absolute approximation of Tukey depth: Theory and experiments. Computational Geometry: Theory and Applications. 2012;46(5):566-573. doi:10.1016/j.comgeo.2012.03.001","ista":"Chen D, Morin P, Wagner U. 2012. Absolute approximation of Tukey depth: Theory and experiments. Computational Geometry: Theory and Applications. 46(5), 566–573.","apa":"Chen, D., Morin, P., & Wagner, U. (2012). Absolute approximation of Tukey depth: Theory and experiments. Computational Geometry: Theory and Applications. Elsevier. https://doi.org/10.1016/j.comgeo.2012.03.001","ieee":"D. Chen, P. Morin, and U. Wagner, “Absolute approximation of Tukey depth: Theory and experiments,” Computational Geometry: Theory and Applications, vol. 46, no. 5. Elsevier, pp. 566–573, 2012.","mla":"Chen, Dan, et al. “Absolute Approximation of Tukey Depth: Theory and Experiments.” Computational Geometry: Theory and Applications, vol. 46, no. 5, Elsevier, 2012, pp. 566–73, doi:10.1016/j.comgeo.2012.03.001.","short":"D. Chen, P. Morin, U. Wagner, Computational Geometry: Theory and Applications 46 (2012) 566–573.","chicago":"Chen, Dan, Pat Morin, and Uli Wagner. “Absolute Approximation of Tukey Depth: Theory and Experiments.” Computational Geometry: Theory and Applications. Elsevier, 2012. https://doi.org/10.1016/j.comgeo.2012.03.001."},"quality_controlled":0,"page":"566 - 573","day":"01","month":"07","author":[{"last_name":"Chen","first_name":"Dan","full_name":"Chen, Dan"},{"last_name":"Morin","first_name":"Pat","full_name":"Morin, Pat"},{"full_name":"Uli Wagner","first_name":"Uli","last_name":"Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568"}],"date_created":"2018-12-11T11:57:40Z","date_updated":"2021-01-12T06:57:29Z","volume":46,"_id":"2439","year":"2012","publication_status":"published","title":"Absolute approximation of Tukey depth: Theory and experiments","status":"public","intvolume":" 46","publisher":"Elsevier","abstract":[{"lang":"eng","text":"A Monte Carlo approximation algorithm for the Tukey depth problem in high dimensions is introduced. The algorithm is a generalization of an algorithm presented by Rousseeuw and Struyf (1998) . The performance of this algorithm is studied both analytically and experimentally."}],"issue":"5","publist_id":"4467","extern":1,"type":"journal_article"},{"month":"06","day":"01","date_published":"2012-06-01T00:00:00Z","doi":"10.1145/2261250.2261272","conference":{"name":"SGC: Symposuim on Computational Geometry"},"citation":{"chicago":"Gundert, Anna, and Uli Wagner. “On Laplacians of Random Complexes,” 151–60. ACM, 2012. https://doi.org/10.1145/2261250.2261272.","mla":"Gundert, Anna, and Uli Wagner. On Laplacians of Random Complexes. ACM, 2012, pp. 151–60, doi:10.1145/2261250.2261272.","short":"A. Gundert, U. Wagner, in:, ACM, 2012, pp. 151–160.","ista":"Gundert A, Wagner U. 2012. On Laplacians of random complexes. SGC: Symposuim on Computational Geometry, 151–160.","apa":"Gundert, A., & Wagner, U. (2012). On Laplacians of random complexes (pp. 151–160). Presented at the SGC: Symposuim on Computational Geometry, ACM. https://doi.org/10.1145/2261250.2261272","ieee":"A. Gundert and U. Wagner, “On Laplacians of random complexes,” presented at the SGC: Symposuim on Computational Geometry, 2012, pp. 151–160.","ama":"Gundert A, Wagner U. On Laplacians of random complexes. In: ACM; 2012:151-160. doi:10.1145/2261250.2261272"},"page":"151 - 160","quality_controlled":0,"publist_id":"4464","abstract":[{"text":"Eigenvalues associated to graphs are a well-studied subject. In particular the spectra of the adjacency matrix and of the Laplacian of random graphs G(n, p) are known quite precisely. We consider generalizations of these matrices to simplicial complexes of higher dimensions and study their eigenvalues for the Linial-Meshulam model X k(n, p) of random k-dimensional simplicial complexes on n vertices. We show that for p = Ω(log n/n), the eigenvalues of both, the higher-dimensional adjacency matrix and the Laplacian, are a.a.s. sharply concentrated around two values. In a second part of the paper, we discuss a possible higherdimensional analogue of the Discrete Cheeger Inequality. This fundamental inequality expresses a close relationship between the eigenvalues of a graph and its combinatorial expansion properties; in particular, spectral expansion (a large eigenvalue gap) implies edge expansion. Recently, a higher-dimensional analogue of edge expansion for simplicial complexes was introduced by Gromov, and independently by Linial, Meshulam and Wallach and by Newman and Rabinovich. It is natural to ask whether there is a higher-dimensional version of Cheeger's inequality. We show that the most straightforward version of a higher-dimensional Cheeger inequality fails: for every k > 1, there is an infinite family of k-dimensional complexes that are spectrally expanding (there is a large eigenvalue gap for the Laplacian) but not combinatorially expanding.","lang":"eng"}],"extern":1,"type":"conference","author":[{"last_name":"Gundert","first_name":"Anna","full_name":"Gundert, Anna"},{"orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","last_name":"Wagner","first_name":"Uli","full_name":"Uli Wagner"}],"date_created":"2018-12-11T11:57:41Z","date_updated":"2021-01-12T06:57:30Z","year":"2012","_id":"2441","publisher":"ACM","status":"public","title":"On Laplacians of random complexes","publication_status":"published"},{"date_published":"2012-07-01T00:00:00Z","doi":"10.1105/tpc.112.098152","quality_controlled":0,"page":"3074 - 3086","publication":"Plant Cell","citation":{"mla":"Feraru, Elena, et al. “BEX5/RabA1b Regulates Trans-Golgi Network-to-Plasma Membrane Protein Trafficking in Arabidopsis.” Plant Cell, vol. 24, no. 7, American Society of Plant Biologists, 2012, pp. 3074–86, doi:10.1105/tpc.112.098152.","short":"E. Feraru, M. Feraru, R. Asaoka, T. Paciorek, R. De Rycke, H. Tanaka, A. Nakano, J. Friml, Plant Cell 24 (2012) 3074–3086.","chicago":"Feraru, Elena, Mugurel Feraru, Rin Asaoka, Tomasz Paciorek, Riet De Rycke, Hirokazu Tanaka, Akihiko Nakano, and Jiří Friml. “BEX5/RabA1b Regulates Trans-Golgi Network-to-Plasma Membrane Protein Trafficking in Arabidopsis.” Plant Cell. American Society of Plant Biologists, 2012. https://doi.org/10.1105/tpc.112.098152.","ama":"Feraru E, Feraru M, Asaoka R, et al. BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane protein trafficking in Arabidopsis. Plant Cell. 2012;24(7):3074-3086. doi:10.1105/tpc.112.098152","ista":"Feraru E, Feraru M, Asaoka R, Paciorek T, De Rycke R, Tanaka H, Nakano A, Friml J. 2012. BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane protein trafficking in Arabidopsis. Plant Cell. 24(7), 3074–3086.","ieee":"E. Feraru et al., “BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane protein trafficking in Arabidopsis,” Plant Cell, vol. 24, no. 7. American Society of Plant Biologists, pp. 3074–3086, 2012.","apa":"Feraru, E., Feraru, M., Asaoka, R., Paciorek, T., De Rycke, R., Tanaka, H., … Friml, J. (2012). BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane protein trafficking in Arabidopsis. Plant Cell. American Society of Plant Biologists. https://doi.org/10.1105/tpc.112.098152"},"day":"01","month":"07","date_created":"2018-12-11T11:57:45Z","date_updated":"2021-01-12T06:57:35Z","volume":24,"author":[{"full_name":"Feraru, Elena","first_name":"Elena","last_name":"Feraru"},{"full_name":"Feraru, Mugurel Ioan","first_name":"Mugurel","last_name":"Feraru"},{"first_name":"Rin","last_name":"Asaoka","full_name":"Asaoka, Rin"},{"full_name":"Paciorek, Tomasz","last_name":"Paciorek","first_name":"Tomasz"},{"full_name":"De Rycke, Riet M","first_name":"Riet","last_name":"De Rycke"},{"last_name":"Tanaka","first_name":"Hirokazu","full_name":"Tanaka, Hirokazu"},{"last_name":"Nakano","first_name":"Akihiko","full_name":"Nakano, Akihiko"},{"full_name":"Jirí Friml","first_name":"Jirí","last_name":"Friml","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596"}],"publication_status":"published","title":"BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane protein trafficking in Arabidopsis","status":"public","publisher":"American Society of Plant Biologists","intvolume":" 24","year":"2012","_id":"2453","extern":1,"abstract":[{"text":"Constitutive endocytic recycling is a crucial mechanism allowing regulation of the activity of proteins at the plasma membrane and for rapid changes in their localization, as demonstrated in plants for PIN-FORMED (PIN) proteins, the auxin transporters. To identify novel molecular components of endocytic recycling, mainly exocytosis, we designed a PIN1-green fluorescent protein fluorescence imaging-based forward genetic screen for Arabidopsis thaliana mutants that showed increased intracellular accumulation of cargos in response to the trafficking inhibitor brefeldin A (BFA). We identified bex5 (for BFA-visualized exocytic trafficking defective), a novel dominant mutant carrying a missense mutation that disrupts a conserved sequence motif of the small GTPase, RAS GENES FROM RAT BRAINA1b. bex5 displays defects such as enhanced protein accumulation in abnormal BFA compartments, aberrant endosomes, and defective exocytosis and transcytosis. BEX5/RabA1b localizes to trans-Golgi network/early endosomes (TGN/EE) and acts on distinct trafficking processes like those regulated by GTP exchange factors on ADP-ribosylation factors GNOM-LIKE1 and HOPM INTERACTOR7/BFA-VISUALIZED ENDOCYTIC TRAFFICKING DEFECTIVE1, which regulate trafficking at the Golgi apparatus and TGN/EE, respectively. All together, this study identifies Arabidopsis BEX5/RabA1b as a novel regulator of protein trafficking from a TGN/EE compartment to the plasma membrane.","lang":"eng"}],"publist_id":"4450","issue":"7","type":"journal_article"},{"language":[{"iso":"eng"}],"doi":"10.1242/dev.080861","date_published":"2012-10-15T00:00:00Z","page":"3677 - 3682","quality_controlled":"1","citation":{"ama":"Beeckman T, Friml J. Plant developmental biologists meet on stairways in Matera. Development. 2012;139(20):3677-3682. doi:10.1242/dev.080861","ista":"Beeckman T, Friml J. 2012. Plant developmental biologists meet on stairways in Matera. Development. 139(20), 3677–3682.","ieee":"T. Beeckman and J. Friml, “Plant developmental biologists meet on stairways in Matera,” Development, vol. 139, no. 20. Company of Biologists, pp. 3677–3682, 2012.","apa":"Beeckman, T., & Friml, J. (2012). Plant developmental biologists meet on stairways in Matera. Development. Company of Biologists. https://doi.org/10.1242/dev.080861","mla":"Beeckman, Tom, and Jiří Friml. “Plant Developmental Biologists Meet on Stairways in Matera.” Development, vol. 139, no. 20, Company of Biologists, 2012, pp. 3677–82, doi:10.1242/dev.080861.","short":"T. Beeckman, J. Friml, Development 139 (2012) 3677–3682.","chicago":"Beeckman, Tom, and Jiří Friml. “Plant Developmental Biologists Meet on Stairways in Matera.” Development. Company of Biologists, 2012. https://doi.org/10.1242/dev.080861."},"publication":"Development","month":"10","day":"15","oa_version":"None","volume":139,"date_updated":"2021-01-12T06:57:35Z","date_created":"2018-12-11T11:57:46Z","author":[{"first_name":"Tom","last_name":"Beeckman","full_name":"Beeckman, Tom"},{"full_name":"Friml, Jirí","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","first_name":"Jirí","last_name":"Friml"}],"publisher":"Company of Biologists","intvolume":" 139","status":"public","title":"Plant developmental biologists meet on stairways in Matera","publication_status":"published","_id":"2456","year":"2012","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","extern":"1","issue":"20","publist_id":"4447","abstract":[{"text":"The third EMBO Conference on Plant Molecular Biology, which focused on ‘Plant development and environmental interactions’,was held in May 2012 in Matera, Italy. Here, we review some of the topics and themes that emerged from the various contributions; namely, steering technologies, transcriptional networks and hormonal regulation, small RNAs, cell and tissue polarity, environmental control and natural variation. We intend to provide the reader who might have missed this remarkable event with a glimpse of the recent progress made in this blossoming research field.","lang":"eng"}],"type":"journal_article"},{"month":"05","doi":"10.3389/fpls.2012.00097","language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)"},"oa":1,"quality_controlled":"1","publist_id":"4444","file_date_updated":"2020-07-14T12:45:41Z","extern":"1","article_number":"97","author":[{"full_name":"Zwiewka, Marta","last_name":"Zwiewka","first_name":"Marta"},{"first_name":"Jirí","last_name":"Friml","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","full_name":"Friml, Jirí"}],"volume":3,"date_updated":"2021-01-12T06:57:36Z","date_created":"2018-12-11T11:57:47Z","year":"2012","publisher":"Frontiers Research Foundation","publication_status":"published","has_accepted_license":"1","day":"24","date_published":"2012-05-24T00:00:00Z","citation":{"ama":"Zwiewka M, Friml J. Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants. Frontiers in Plant Science. 2012;3(May). doi:10.3389/fpls.2012.00097","ista":"Zwiewka M, Friml J. 2012. Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants. Frontiers in Plant Science. 3(May), 97.","ieee":"M. Zwiewka and J. Friml, “Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants,” Frontiers in Plant Science, vol. 3, no. May. Frontiers Research Foundation, 2012.","apa":"Zwiewka, M., & Friml, J. (2012). Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants. Frontiers in Plant Science. Frontiers Research Foundation. https://doi.org/10.3389/fpls.2012.00097","mla":"Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic Screens to Identify Trafficking Regulators in Plants.” Frontiers in Plant Science, vol. 3, no. May, 97, Frontiers Research Foundation, 2012, doi:10.3389/fpls.2012.00097.","short":"M. Zwiewka, J. Friml, Frontiers in Plant Science 3 (2012).","chicago":"Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic Screens to Identify Trafficking Regulators in Plants.” Frontiers in Plant Science. Frontiers Research Foundation, 2012. https://doi.org/10.3389/fpls.2012.00097."},"publication":"Frontiers in Plant Science","issue":"May","abstract":[{"lang":"eng","text":"Coordinated, subcellular trafficking of proteins is one of the fundamental properties of the multicellular eukaryotic organisms. Trafficking involves a large diversity of compartments, pathways, cargo molecules, and vesicle-sorting events. It is also crucial in regulating the localization and, thus, the activity of various proteins, but the process is still poorly genetically defined in plants. In the past, forward genetics screens had been used to determine the function of genes by searching for a specific morphological phenotype in the organism population in which mutations had been induced chemically or by irradiation. Unfortunately, these straightforward genetic screens turned out to be limited in identifying new regulators of intracellular protein transport, because mutations affecting essential trafficking pathways often lead to lethality. In addition, the use of these approaches has been restricted by functional redundancy among trafficking regulators. Screens for mutants that rely on the observation of changes in the cellular localization or dynamics of fluorescent subcellular markers enable, at least partially, to circumvent these issues. Hence, such image-based screens provide the possibility to identify either alleles with weak effects or components of the subcellular trafficking machinery that have no strong impact on the plant growth."}],"type":"journal_article","oa_version":"Published Version","file":[{"date_created":"2019-04-26T06:49:26Z","date_updated":"2020-07-14T12:45:41Z","checksum":"ab4e9487ccdb83a7a0a9ee6811521844","file_id":"6346","relation":"main_file","creator":"kschuh","file_size":1468230,"content_type":"application/pdf","file_name":"2012_frontiers_Zwiewka.pdf","access_level":"open_access"}],"_id":"2459","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","intvolume":" 3","ddc":["580"],"status":"public","title":"Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants"},{"day":"21","month":"08","publication":"Current Biology","citation":{"short":"H. Li, J. Friml, W. Grunewald, Current Biology 22 (2012) R635–R637.","mla":"Li, Hongjiang, et al. “Cell Polarity: Stretching Prevents Developmental Cramps.” Current Biology, vol. 22, no. 16, Cell Press, 2012, pp. R635–37, doi:10.1016/j.cub.2012.06.053.","chicago":"Li, Hongjiang, Jiří Friml, and Wim Grunewald. “Cell Polarity: Stretching Prevents Developmental Cramps.” Current Biology. Cell Press, 2012. https://doi.org/10.1016/j.cub.2012.06.053.","ama":"Li H, Friml J, Grunewald W. Cell polarity: Stretching prevents developmental cramps. Current Biology. 2012;22(16):R635-R637. doi:10.1016/j.cub.2012.06.053","apa":"Li, H., Friml, J., & Grunewald, W. (2012). Cell polarity: Stretching prevents developmental cramps. Current Biology. Cell Press. https://doi.org/10.1016/j.cub.2012.06.053","ieee":"H. Li, J. Friml, and W. Grunewald, “Cell polarity: Stretching prevents developmental cramps,” Current Biology, vol. 22, no. 16. Cell Press, pp. R635–R637, 2012.","ista":"Li H, Friml J, Grunewald W. 2012. Cell polarity: Stretching prevents developmental cramps. Current Biology. 22(16), R635–R637."},"quality_controlled":"1","page":"R635 - R637","doi":"10.1016/j.cub.2012.06.053","date_published":"2012-08-21T00:00:00Z","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"lang":"eng","text":"Initiation and successive development of organs induce mechanical stresses at the cellular level. Using the tomato shoot apex, a new study now proposes that mechanical strain regulates the plasma membrane abundance of the PIN1 auxin transporter, thereby reinforcing a positive feed-back loop between growth and auxin accumulation."}],"issue":"16","publist_id":"4445","extern":"1","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"2458","year":"2012","title":"Cell polarity: Stretching prevents developmental cramps","publication_status":"published","status":"public","intvolume":" 22","publisher":"Cell Press","author":[{"last_name":"Li","first_name":"Hongjiang","orcid":"0000-0001-5039-9660","id":"33CA54A6-F248-11E8-B48F-1D18A9856A87","full_name":"Li, Hongjiang"},{"full_name":"Friml, Jirí","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","first_name":"Jirí","last_name":"Friml"},{"full_name":"Grunewald, Wim","last_name":"Grunewald","first_name":"Wim"}],"date_created":"2018-12-11T11:57:47Z","date_updated":"2021-01-12T06:57:36Z","oa_version":"None","volume":22}]