[{"date_created":"2019-01-08T20:42:56Z","doi":"10.1007/978-3-319-59108-7_8","date_published":"2017-05-17T00:00:00Z","page":"93-104","publication":"Combinatorial image analysis","day":"17","year":"2017","publisher":"Springer Nature","quality_controlled":"1","title":"Construction of persistent Voronoi diagram on 3D digital plane","article_processing_charge":"No","author":[{"id":"3C2B033E-F248-11E8-B48F-1D18A9856A87","first_name":"Ranita","last_name":"Biswas","full_name":"Biswas, Ranita","orcid":"0000-0002-5372-7890"},{"last_name":"Bhowmick","full_name":"Bhowmick, Partha","first_name":"Partha"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","citation":{"chicago":"Biswas, Ranita, and Partha Bhowmick. “Construction of Persistent Voronoi Diagram on 3D Digital Plane.” In Combinatorial Image Analysis, 10256:93–104. Cham: Springer Nature, 2017. https://doi.org/10.1007/978-3-319-59108-7_8.","ista":"Biswas R, Bhowmick P. 2017.Construction of persistent Voronoi diagram on 3D digital plane. In: Combinatorial image analysis. LNCS, vol. 10256, 93–104.","mla":"Biswas, Ranita, and Partha Bhowmick. “Construction of Persistent Voronoi Diagram on 3D Digital Plane.” Combinatorial Image Analysis, vol. 10256, Springer Nature, 2017, pp. 93–104, doi:10.1007/978-3-319-59108-7_8.","apa":"Biswas, R., & Bhowmick, P. (2017). Construction of persistent Voronoi diagram on 3D digital plane. In Combinatorial image analysis (Vol. 10256, pp. 93–104). Cham: Springer Nature. https://doi.org/10.1007/978-3-319-59108-7_8","ama":"Biswas R, Bhowmick P. Construction of persistent Voronoi diagram on 3D digital plane. In: Combinatorial Image Analysis. Vol 10256. Cham: Springer Nature; 2017:93-104. doi:10.1007/978-3-319-59108-7_8","short":"R. Biswas, P. Bhowmick, in:, Combinatorial Image Analysis, Springer Nature, Cham, 2017, pp. 93–104.","ieee":"R. Biswas and P. Bhowmick, “Construction of persistent Voronoi diagram on 3D digital plane,” in Combinatorial image analysis, vol. 10256, Cham: Springer Nature, 2017, pp. 93–104."},"volume":10256,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["978-3-319-59107-0","978-3-319-59108-7"]},"intvolume":" 10256","place":"Cham","month":"05","alternative_title":["LNCS"],"oa_version":"None","abstract":[{"lang":"eng","text":"Different distance metrics produce Voronoi diagrams with different properties. It is a well-known that on the (real) 2D plane or even on any 3D plane, a Voronoi diagram (VD) based on the Euclidean distance metric produces convex Voronoi regions. In this paper, we first show that this metric produces a persistent VD on the 2D digital plane, as it comprises digitally convex Voronoi regions and hence correctly approximates the corresponding VD on the 2D real plane. Next, we show that on a 3D digital plane D, the Euclidean metric spanning over its voxel set does not guarantee a digital VD which is persistent with the real-space VD. As a solution, we introduce a novel concept of functional-plane-convexity, which is ensured by the Euclidean metric spanning over the pedal set of D. Necessary proofs and some visual result have been provided to adjudge the merit and usefulness of the proposed concept."}],"department":[{"_id":"HeEd"}],"extern":"1","date_updated":"2022-01-28T07:48:24Z","status":"public","conference":{"name":"IWCIA: International Workshop on Combinatorial Image Analysis","start_date":"2017-06-19","location":"Plovdiv, Bulgaria","end_date":"2017-06-21"},"type":"book_chapter","_id":"5803"},{"ddc":["530"],"date_updated":"2023-02-23T12:36:07Z","department":[{"_id":"MiLe"}],"file_date_updated":"2020-07-14T12:46:00Z","_id":"313","status":"public","type":"conference","conference":{"name":"Annual International Laser Physics Workshop LPHYS","start_date":"2017-08-17","end_date":"2017-08-21","location":"Kazan, Russian Federation"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"file_id":"5871","checksum":"6e70b525a84f6d5fb175c48e9f5cb59a","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2017_Physics_Camus.pdf","date_created":"2019-01-22T08:34:10Z","creator":"dernst","file_size":949321,"date_updated":"2020-07-14T12:46:00Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["17426588"]},"publication_status":"published","related_material":{"record":[{"id":"6013","status":"public","relation":"later_version"}]},"volume":999,"issue":"1","license":"https://creativecommons.org/licenses/by/4.0/","oa_version":"Published Version","abstract":[{"text":"Tunneling of a particle through a potential barrier remains one of the most remarkable quantum phenomena. Owing to advances in laser technology, electric fields comparable to those electrons experience in atoms are readily generated and open opportunities to dynamically investigate the process of electron tunneling through the potential barrier formed by the superposition of both laser and atomic fields. Attosecond-time and angstrom-space resolution of the strong laser-field technique allow to address fundamental questions related to tunneling, which are still open and debated: Which time is spent under the barrier and what momentum is picked up by the particle in the meantime? In this combined experimental and theoretical study we demonstrate that for strong-field ionization the leading quantum mechanical Wigner treatment for the time resolved description of tunneling is valid. We achieve a high sensitivity on the tunneling barrier and unambiguously isolate its effects by performing a differential study of two systems with almost identical tunneling geometry. Moreover, working with a low frequency laser, we essentially limit the non-adiabaticity of the process as a major source of uncertainty. The agreement between experiment and theory implies two substantial corrections with respect to the widely employed quasiclassical treatment: In addition to a non-vanishing longitudinal momentum along the laser field-direction we provide clear evidence for a non-zero tunneling time delay. This addresses also the fundamental question how the transition occurs from the tunnel barrier to free space classical evolution of the ejected electron.","lang":"eng"}],"month":"07","intvolume":" 999","alternative_title":["Journal of Physics: Conference Series"],"scopus_import":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Camus, Nicolas, Enderalp Yakaboylu, Lutz Fechner, Michael Klaiber, Martin Laux, Yonghao Mi, Karen Hatsagortsyan, Thomas Pfeifer, Cristoph Keitel, and Robert Moshammer. “Experimental Evidence for Wigner’s Tunneling Time,” Vol. 999. American Physical Society, 2017. https://doi.org/10.1088/1742-6596/999/1/012004.","ista":"Camus N, Yakaboylu E, Fechner L, Klaiber M, Laux M, Mi Y, Hatsagortsyan K, Pfeifer T, Keitel C, Moshammer R. 2017. Experimental evidence for Wigner’s tunneling time. Annual International Laser Physics Workshop LPHYS, Journal of Physics: Conference Series, vol. 999, 012004.","mla":"Camus, Nicolas, et al. Experimental Evidence for Wigner’s Tunneling Time. Vol. 999, no. 1, 012004, American Physical Society, 2017, doi:10.1088/1742-6596/999/1/012004.","short":"N. Camus, E. Yakaboylu, L. Fechner, M. Klaiber, M. Laux, Y. Mi, K. Hatsagortsyan, T. Pfeifer, C. Keitel, R. Moshammer, in:, American Physical Society, 2017.","ieee":"N. Camus et al., “Experimental evidence for Wigner’s tunneling time,” presented at the Annual International Laser Physics Workshop LPHYS, Kazan, Russian Federation, 2017, vol. 999, no. 1.","apa":"Camus, N., Yakaboylu, E., Fechner, L., Klaiber, M., Laux, M., Mi, Y., … Moshammer, R. (2017). Experimental evidence for Wigner’s tunneling time (Vol. 999). Presented at the Annual International Laser Physics Workshop LPHYS, Kazan, Russian Federation: American Physical Society. https://doi.org/10.1088/1742-6596/999/1/012004","ama":"Camus N, Yakaboylu E, Fechner L, et al. Experimental evidence for Wigner’s tunneling time. In: Vol 999. American Physical Society; 2017. doi:10.1088/1742-6596/999/1/012004"},"title":"Experimental evidence for Wigner's tunneling time","publist_id":"7552","author":[{"full_name":"Camus, Nicolas","last_name":"Camus","first_name":"Nicolas"},{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874"},{"first_name":"Lutz","full_name":"Fechner, Lutz","last_name":"Fechner"},{"first_name":"Michael","full_name":"Klaiber, Michael","last_name":"Klaiber"},{"last_name":"Laux","full_name":"Laux, Martin","first_name":"Martin"},{"first_name":"Yonghao","last_name":"Mi","full_name":"Mi, Yonghao"},{"full_name":"Hatsagortsyan, Karen","last_name":"Hatsagortsyan","first_name":"Karen"},{"last_name":"Pfeifer","full_name":"Pfeifer, Thomas","first_name":"Thomas"},{"last_name":"Keitel","full_name":"Keitel, Cristoph","first_name":"Cristoph"},{"last_name":"Moshammer","full_name":"Moshammer, Robert","first_name":"Robert"}],"external_id":{"arxiv":["1611.03701"]},"article_number":"012004","day":"14","has_accepted_license":"1","year":"2017","date_published":"2017-07-14T00:00:00Z","doi":"10.1088/1742-6596/999/1/012004","date_created":"2018-12-11T11:45:46Z","publisher":"American Physical Society","quality_controlled":"1","oa":1},{"department":[{"_id":"MiLe"}],"date_updated":"2023-02-23T11:13:36Z","status":"public","type":"journal_article","_id":"6013","issue":"2","volume":119,"related_material":{"record":[{"relation":"earlier_version","id":"313","status":"public"}]},"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1079-7114"],"issn":["0031-9007"]},"publication_status":"published","month":"07","intvolume":" 119","scopus_import":1,"main_file_link":[{"url":"https://arxiv.org/abs/1611.03701","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"The first hundred attoseconds of the electron dynamics during strong field tunneling ionization are investigated. We quantify theoretically how the electron’s classical trajectories in the continuum emerge from the tunneling process and test the results with those achieved in parallel from attoclock measurements. An especially high sensitivity on the tunneling barrier is accomplished here by comparing the momentum distributions of two atomic species of slightly deviating atomic potentials (argon and krypton) being ionized under absolutely identical conditions with near-infrared laser pulses (1300 nm). The agreement between experiment and theory provides clear evidence for a nonzero tunneling time delay and a nonvanishing longitudinal momentum of the electron at the “tunnel exit.”"}],"title":"Experimental evidence for quantum tunneling time","author":[{"last_name":"Camus","full_name":"Camus, Nicolas","first_name":"Nicolas"},{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874"},{"full_name":"Fechner, Lutz","last_name":"Fechner","first_name":"Lutz"},{"last_name":"Klaiber","full_name":"Klaiber, Michael","first_name":"Michael"},{"full_name":"Laux, Martin","last_name":"Laux","first_name":"Martin"},{"first_name":"Yonghao","last_name":"Mi","full_name":"Mi, Yonghao"},{"full_name":"Hatsagortsyan, Karen Z.","last_name":"Hatsagortsyan","first_name":"Karen Z."},{"first_name":"Thomas","full_name":"Pfeifer, Thomas","last_name":"Pfeifer"},{"last_name":"Keitel","full_name":"Keitel, Christoph H.","first_name":"Christoph H."},{"full_name":"Moshammer, Robert","last_name":"Moshammer","first_name":"Robert"}],"external_id":{"arxiv":["1611.03701"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Camus, Nicolas, Enderalp Yakaboylu, Lutz Fechner, Michael Klaiber, Martin Laux, Yonghao Mi, Karen Z. Hatsagortsyan, Thomas Pfeifer, Christoph H. Keitel, and Robert Moshammer. “Experimental Evidence for Quantum Tunneling Time.” Physical Review Letters. American Physical Society, 2017. https://doi.org/10.1103/PhysRevLett.119.023201.","ista":"Camus N, Yakaboylu E, Fechner L, Klaiber M, Laux M, Mi Y, Hatsagortsyan KZ, Pfeifer T, Keitel CH, Moshammer R. 2017. Experimental evidence for quantum tunneling time. Physical Review Letters. 119(2), 023201.","mla":"Camus, Nicolas, et al. “Experimental Evidence for Quantum Tunneling Time.” Physical Review Letters, vol. 119, no. 2, 023201, American Physical Society, 2017, doi:10.1103/PhysRevLett.119.023201.","ieee":"N. Camus et al., “Experimental evidence for quantum tunneling time,” Physical Review Letters, vol. 119, no. 2. American Physical Society, 2017.","short":"N. Camus, E. Yakaboylu, L. Fechner, M. Klaiber, M. Laux, Y. Mi, K.Z. Hatsagortsyan, T. Pfeifer, C.H. Keitel, R. Moshammer, Physical Review Letters 119 (2017).","apa":"Camus, N., Yakaboylu, E., Fechner, L., Klaiber, M., Laux, M., Mi, Y., … Moshammer, R. (2017). Experimental evidence for quantum tunneling time. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.119.023201","ama":"Camus N, Yakaboylu E, Fechner L, et al. Experimental evidence for quantum tunneling time. Physical Review Letters. 2017;119(2). doi:10.1103/PhysRevLett.119.023201"},"article_number":"023201","date_published":"2017-07-14T00:00:00Z","doi":"10.1103/PhysRevLett.119.023201","date_created":"2019-02-14T15:24:13Z","day":"14","publication":"Physical Review Letters","year":"2017","quality_controlled":"1","publisher":"American Physical Society","oa":1},{"date_created":"2018-12-11T11:47:27Z","doi":"10.1007/978-3-319-70500-2_3","date_published":"2017-11-05T00:00:00Z","page":"56 - 81","day":"05","year":"2017","oa":1,"quality_controlled":"1","publisher":"Springer","editor":[{"full_name":"Kalai, Yael","last_name":"Kalai","first_name":"Yael"},{"first_name":"Leonid","last_name":"Reyzin","full_name":"Reyzin, Leonid"}],"title":"Position based cryptography and multiparty communication complexity","author":[{"full_name":"Brody, Joshua","last_name":"Brody","first_name":"Joshua"},{"first_name":"Stefan","last_name":"Dziembowski","full_name":"Dziembowski, Stefan"},{"full_name":"Faust, Sebastian","last_name":"Faust","first_name":"Sebastian"},{"full_name":"Pietrzak, Krzysztof Z","orcid":"0000-0002-9139-1654","last_name":"Pietrzak","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof Z"}],"publist_id":"7200","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Brody, Joshua, et al. Position Based Cryptography and Multiparty Communication Complexity. Edited by Yael Kalai and Leonid Reyzin, vol. 10677, Springer, 2017, pp. 56–81, doi:10.1007/978-3-319-70500-2_3.","ieee":"J. Brody, S. Dziembowski, S. Faust, and K. Z. Pietrzak, “Position based cryptography and multiparty communication complexity,” presented at the TCC: Theory of Cryptography Conference, Baltimore, MD, United States, 2017, vol. 10677, pp. 56–81.","short":"J. Brody, S. Dziembowski, S. Faust, K.Z. Pietrzak, in:, Y. Kalai, L. Reyzin (Eds.), Springer, 2017, pp. 56–81.","apa":"Brody, J., Dziembowski, S., Faust, S., & Pietrzak, K. Z. (2017). Position based cryptography and multiparty communication complexity. In Y. Kalai & L. Reyzin (Eds.) (Vol. 10677, pp. 56–81). Presented at the TCC: Theory of Cryptography Conference, Baltimore, MD, United States: Springer. https://doi.org/10.1007/978-3-319-70500-2_3","ama":"Brody J, Dziembowski S, Faust S, Pietrzak KZ. Position based cryptography and multiparty communication complexity. In: Kalai Y, Reyzin L, eds. Vol 10677. Springer; 2017:56-81. doi:10.1007/978-3-319-70500-2_3","chicago":"Brody, Joshua, Stefan Dziembowski, Sebastian Faust, and Krzysztof Z Pietrzak. “Position Based Cryptography and Multiparty Communication Complexity.” edited by Yael Kalai and Leonid Reyzin, 10677:56–81. Springer, 2017. https://doi.org/10.1007/978-3-319-70500-2_3.","ista":"Brody J, Dziembowski S, Faust S, Pietrzak KZ. 2017. Position based cryptography and multiparty communication complexity. TCC: Theory of Cryptography Conference, LNCS, vol. 10677, 56–81."},"project":[{"name":"Teaching Old Crypto New Tricks","grant_number":"682815","_id":"258AA5B2-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"ec_funded":1,"volume":10677,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"isbn":["978-331970499-9"]},"intvolume":" 10677","month":"11","main_file_link":[{"open_access":"1","url":"https://eprint.iacr.org/2016/536"}],"scopus_import":1,"alternative_title":["LNCS"],"oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"Position based cryptography (PBC), proposed in the seminal work of Chandran, Goyal, Moriarty, and Ostrovsky (SIAM J. Computing, 2014), aims at constructing cryptographic schemes in which the identity of the user is his geographic position. Chandran et al. construct PBC schemes for secure positioning and position-based key agreement in the bounded-storage model (Maurer, J. Cryptology, 1992). Apart from bounded memory, their security proofs need a strong additional restriction on the power of the adversary: he cannot compute joint functions of his inputs. Removing this assumption is left as an open problem. We show that an answer to this question would resolve a long standing open problem in multiparty communication complexity: finding a function that is hard to compute with low communication complexity in the simultaneous message model, but easy to compute in the fully adaptive model. On a more positive side: we also show some implications in the other direction, i.e.: we prove that lower bounds on the communication complexity of certain multiparty problems imply existence of PBC primitives. Using this result we then show two attractive ways to “bypass” our hardness result: the first uses the random oracle model, the second weakens the locality requirement in the bounded-storage model to online computability. The random oracle construction is arguably one of the simplest proposed so far in this area. Our results indicate that constructing improved provably secure protocols for PBC requires a better understanding of multiparty communication complexity. This is yet another example where negative results in one area (in our case: lower bounds in multiparty communication complexity) can be used to construct secure cryptographic schemes."}],"department":[{"_id":"KrPi"}],"date_updated":"2021-01-12T08:05:53Z","status":"public","conference":{"end_date":"2017-11-15","location":"Baltimore, MD, United States","start_date":"2017-11-12","name":"TCC: Theory of Cryptography Conference"},"type":"conference","_id":"605"},{"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Lemeshko M, Schmidt R. 2017.Molecular impurities interacting with a many-particle environment: From ultracold gases to helium nanodroplets. In: Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero . Theoretical and Computational Chemistry Series, vol. 11, 444–495.","chicago":"Lemeshko, Mikhail, and Richard Schmidt. “Molecular Impurities Interacting with a Many-Particle Environment: From Ultracold Gases to Helium Nanodroplets.” In Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero , edited by Oliver Dulieu and Andreas Osterwalder, 11:444–95. Theoretical and Computational Chemistry Series. The Royal Society of Chemistry, 2017. https://doi.org/10.1039/9781782626800-00444.","ama":"Lemeshko M, Schmidt R. Molecular impurities interacting with a many-particle environment: From ultracold gases to helium nanodroplets. In: Dulieu O, Osterwalder A, eds. Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero . Vol 11. Theoretical and Computational Chemistry Series. The Royal Society of Chemistry; 2017:444-495. doi:10.1039/9781782626800-00444","apa":"Lemeshko, M., & Schmidt, R. (2017). Molecular impurities interacting with a many-particle environment: From ultracold gases to helium nanodroplets. In O. Dulieu & A. Osterwalder (Eds.), Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero (Vol. 11, pp. 444–495). The Royal Society of Chemistry. https://doi.org/10.1039/9781782626800-00444","ieee":"M. Lemeshko and R. Schmidt, “Molecular impurities interacting with a many-particle environment: From ultracold gases to helium nanodroplets,” in Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero , vol. 11, O. Dulieu and A. Osterwalder, Eds. The Royal Society of Chemistry, 2017, pp. 444–495.","short":"M. Lemeshko, R. Schmidt, in:, O. Dulieu, A. Osterwalder (Eds.), Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero , The Royal Society of Chemistry, 2017, pp. 444–495.","mla":"Lemeshko, Mikhail, and Richard Schmidt. “Molecular Impurities Interacting with a Many-Particle Environment: From Ultracold Gases to Helium Nanodroplets.” Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero , edited by Oliver Dulieu and Andreas Osterwalder, vol. 11, The Royal Society of Chemistry, 2017, pp. 444–95, doi:10.1039/9781782626800-00444."},"title":"Molecular impurities interacting with a many-particle environment: From ultracold gases to helium nanodroplets","editor":[{"last_name":"Dulieu","full_name":"Dulieu, Oliver","first_name":"Oliver"},{"first_name":"Andreas","full_name":"Osterwalder, Andreas","last_name":"Osterwalder"}],"author":[{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko"},{"full_name":"Schmidt, Richard","last_name":"Schmidt","first_name":"Richard"}],"publist_id":"7201","oa":1,"publisher":"The Royal Society of Chemistry","quality_controlled":"1","publication":"Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero ","day":"14","year":"2017","date_created":"2018-12-11T11:47:27Z","date_published":"2017-12-14T00:00:00Z","doi":"10.1039/9781782626800-00444","page":"444 - 495","_id":"604","series_title":"Theoretical and Computational Chemistry Series","status":"public","type":"book_chapter","date_updated":"2021-01-12T08:05:50Z","department":[{"_id":"MiLe"}],"oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"In several settings of physics and chemistry one has to deal with molecules interacting with some kind of an external environment, be it a gas, a solution, or a crystal surface. Understanding molecular processes in the presence of such a many-particle bath is inherently challenging, and usually requires large-scale numerical computations. Here, we present an alternative approach to the problem, based on the notion of the angulon quasiparticle. We show that molecules rotating inside superfluid helium nanodroplets and Bose–Einstein condensates form angulons, and therefore can be described by straightforward solutions of a simple microscopic Hamiltonian. Casting the problem in the language of angulons allows us not only to greatly simplify it, but also to gain insights into the origins of the observed phenomena and to make predictions for future experimental studies."}],"intvolume":" 11","month":"12","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1703.06753"}],"scopus_import":1,"alternative_title":["Theoretical and Computational Chemistry Series"],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["20413181"]},"volume":11},{"title":"Moderately hard functions: Definition, instantiations, and applications","editor":[{"full_name":"Kalai, Yael","last_name":"Kalai","first_name":"Yael"},{"first_name":"Leonid","last_name":"Reyzin","full_name":"Reyzin, Leonid"}],"author":[{"first_name":"Joel F","id":"2A8DFA8C-F248-11E8-B48F-1D18A9856A87","full_name":"Alwen, Joel F","last_name":"Alwen"},{"full_name":"Tackmann, Björn","last_name":"Tackmann","first_name":"Björn"}],"publist_id":"7196","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Alwen, Joel F, and Björn Tackmann. “Moderately Hard Functions: Definition, Instantiations, and Applications.” edited by Yael Kalai and Leonid Reyzin, 10677:493–526. Springer, 2017. https://doi.org/10.1007/978-3-319-70500-2_17.","ista":"Alwen JF, Tackmann B. 2017. Moderately hard functions: Definition, instantiations, and applications. TCC: Theory of Cryptography, LNCS, vol. 10677, 493–526.","mla":"Alwen, Joel F., and Björn Tackmann. Moderately Hard Functions: Definition, Instantiations, and Applications. Edited by Yael Kalai and Leonid Reyzin, vol. 10677, Springer, 2017, pp. 493–526, doi:10.1007/978-3-319-70500-2_17.","ama":"Alwen JF, Tackmann B. Moderately hard functions: Definition, instantiations, and applications. In: Kalai Y, Reyzin L, eds. Vol 10677. Springer; 2017:493-526. doi:10.1007/978-3-319-70500-2_17","apa":"Alwen, J. F., & Tackmann, B. (2017). Moderately hard functions: Definition, instantiations, and applications. In Y. Kalai & L. Reyzin (Eds.) (Vol. 10677, pp. 493–526). Presented at the TCC: Theory of Cryptography, Baltimore, MD, United States: Springer. https://doi.org/10.1007/978-3-319-70500-2_17","ieee":"J. F. Alwen and B. Tackmann, “Moderately hard functions: Definition, instantiations, and applications,” presented at the TCC: Theory of Cryptography, Baltimore, MD, United States, 2017, vol. 10677, pp. 493–526.","short":"J.F. Alwen, B. Tackmann, in:, Y. Kalai, L. Reyzin (Eds.), Springer, 2017, pp. 493–526."},"oa":1,"quality_controlled":"1","publisher":"Springer","date_created":"2018-12-11T11:47:28Z","date_published":"2017-11-05T00:00:00Z","doi":"10.1007/978-3-319-70500-2_17","page":"493 - 526","day":"05","year":"2017","status":"public","conference":{"name":"TCC: Theory of Cryptography","start_date":"2017-11-12","location":"Baltimore, MD, United States","end_date":"2017-11-15"},"type":"conference","_id":"609","department":[{"_id":"KrPi"}],"date_updated":"2021-01-12T08:06:04Z","intvolume":" 10677","month":"11","main_file_link":[{"open_access":"1","url":"https://eprint.iacr.org/2017/945"}],"alternative_title":["LNCS"],"scopus_import":1,"oa_version":"Submitted Version","abstract":[{"text":"Several cryptographic schemes and applications are based on functions that are both reasonably efficient to compute and moderately hard to invert, including client puzzles for Denial-of-Service protection, password protection via salted hashes, or recent proof-of-work blockchain systems. Despite their wide use, a definition of this concept has not yet been distilled and formalized explicitly. Instead, either the applications are proven directly based on the assumptions underlying the function, or some property of the function is proven, but the security of the application is argued only informally. The goal of this work is to provide a (universal) definition that decouples the efforts of designing new moderately hard functions and of building protocols based on them, serving as an interface between the two. On a technical level, beyond the mentioned definitions, we instantiate the model for four different notions of hardness. We extend the work of Alwen and Serbinenko (STOC 2015) by providing a general tool for proving security for the first notion of memory-hard functions that allows for provably secure applications. The tool allows us to recover all of the graph-theoretic techniques developed for proving security under the older, non-composable, notion of security used by Alwen and Serbinenko. As an application of our definition of moderately hard functions, we prove the security of two different schemes for proofs of effort (PoE). We also formalize and instantiate the concept of a non-interactive proof of effort (niPoE), in which the proof is not bound to a particular communication context but rather any bit-string chosen by the prover.","lang":"eng"}],"volume":10677,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"isbn":["978-331970499-9"]}},{"status":"public","type":"journal_article","_id":"610","department":[{"_id":"UlWa"}],"date_updated":"2023-02-23T10:02:13Z","intvolume":" 222","month":"10","main_file_link":[{"url":"https://arxiv.org/abs/1610.09063","open_access":"1"}],"scopus_import":1,"oa_version":"Preprint","abstract":[{"lang":"eng","text":"The fact that the complete graph K5 does not embed in the plane has been generalized in two independent directions. On the one hand, the solution of the classical Heawood problem for graphs on surfaces established that the complete graph Kn embeds in a closed surface M (other than the Klein bottle) if and only if (n−3)(n−4) ≤ 6b1(M), where b1(M) is the first Z2-Betti number of M. On the other hand, van Kampen and Flores proved that the k-skeleton of the n-dimensional simplex (the higher-dimensional analogue of Kn+1) embeds in R2k if and only if n ≤ 2k + 1. Two decades ago, Kühnel conjectured that the k-skeleton of the n-simplex embeds in a compact, (k − 1)-connected 2k-manifold with kth Z2-Betti number bk only if the following generalized Heawood inequality holds: (k+1 n−k−1) ≤ (k+1 2k+1)bk. This is a common generalization of the case of graphs on surfaces as well as the van Kampen–Flores theorem. In the spirit of Kühnel’s conjecture, we prove that if the k-skeleton of the n-simplex embeds in a compact 2k-manifold with kth Z2-Betti number bk, then n ≤ 2bk(k 2k+2)+2k+4. This bound is weaker than the generalized Heawood inequality, but does not require the assumption that M is (k−1)-connected. Our results generalize to maps without q-covered points, in the spirit of Tverberg’s theorem, for q a prime power. Our proof uses a result of Volovikov about maps that satisfy a certain homological triviality condition."}],"ec_funded":1,"related_material":{"record":[{"relation":"earlier_version","id":"1511","status":"public"}]},"volume":222,"issue":"2","language":[{"iso":"eng"}],"publication_status":"published","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"title":"On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result","publist_id":"7194","author":[{"full_name":"Goaoc, Xavier","last_name":"Goaoc","first_name":"Xavier"},{"full_name":"Mabillard, Isaac","last_name":"Mabillard","id":"32BF9DAA-F248-11E8-B48F-1D18A9856A87","first_name":"Isaac"},{"last_name":"Paták","full_name":"Paták, Pavel","first_name":"Pavel"},{"last_name":"Patakova","orcid":"0000-0002-3975-1683","full_name":"Patakova, Zuzana","id":"48B57058-F248-11E8-B48F-1D18A9856A87","first_name":"Zuzana"},{"first_name":"Martin","id":"38AC689C-F248-11E8-B48F-1D18A9856A87","last_name":"Tancer","full_name":"Tancer, Martin","orcid":"0000-0002-1191-6714"},{"orcid":"0000-0002-1494-0568","full_name":"Wagner, Uli","last_name":"Wagner","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. 2017. On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result. Israel Journal of Mathematics. 222(2), 841–866.","chicago":"Goaoc, Xavier, Isaac Mabillard, Pavel Paták, Zuzana Patakova, Martin Tancer, and Uli Wagner. “On Generalized Heawood Inequalities for Manifolds: A van Kampen–Flores Type Nonembeddability Result.” Israel Journal of Mathematics. Springer, 2017. https://doi.org/10.1007/s11856-017-1607-7.","ama":"Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result. Israel Journal of Mathematics. 2017;222(2):841-866. doi:10.1007/s11856-017-1607-7","apa":"Goaoc, X., Mabillard, I., Paták, P., Patakova, Z., Tancer, M., & Wagner, U. (2017). On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-017-1607-7","ieee":"X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result,” Israel Journal of Mathematics, vol. 222, no. 2. Springer, pp. 841–866, 2017.","short":"X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, U. Wagner, Israel Journal of Mathematics 222 (2017) 841–866.","mla":"Goaoc, Xavier, et al. “On Generalized Heawood Inequalities for Manifolds: A van Kampen–Flores Type Nonembeddability Result.” Israel Journal of Mathematics, vol. 222, no. 2, Springer, 2017, pp. 841–66, doi:10.1007/s11856-017-1607-7."},"oa":1,"publisher":"Springer","quality_controlled":"1","acknowledgement":"The work by Z. P. was partially supported by the Israel Science Foundation grant ISF-768/12. The work by Z. P. and M. T. was partially supported by the project CE-ITI (GACR P202/12/G061) of the Czech Science Foundation and by the ERC Advanced Grant No. 267165. Part of the research work of M.T. was conducted at IST Austria, supported by an IST Fellowship. The research of P. P. was supported by the ERC Advanced grant no. 320924. The work by I. M. and U. W. was supported by the Swiss National Science Foundation (grants SNSF-200020-138230 and SNSF-PP00P2-138948). The collaboration between U. W. and X. G. was partially supported by the LabEx Bézout (ANR-10-LABX-58).","date_created":"2018-12-11T11:47:29Z","doi":"10.1007/s11856-017-1607-7","date_published":"2017-10-01T00:00:00Z","page":"841 - 866","publication":"Israel Journal of Mathematics","day":"01","year":"2017"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2021-01-12T08:06:10Z","citation":{"mla":"Bradley, Desmond, et al. “Evolution of Flower Color Pattern through Selection on Regulatory Small RNAs.” Science, vol. 358, no. 6365, American Association for the Advancement of Science, 2017, pp. 925–28, doi:10.1126/science.aao3526.","ama":"Bradley D, Xu P, Mohorianu I, et al. Evolution of flower color pattern through selection on regulatory small RNAs. Science. 2017;358(6365):925-928. doi:10.1126/science.aao3526","apa":"Bradley, D., Xu, P., Mohorianu, I., Whibley, A., Field, D., Tavares, H., … Coen, E. (2017). Evolution of flower color pattern through selection on regulatory small RNAs. Science. American Association for the Advancement of Science. https://doi.org/10.1126/science.aao3526","ieee":"D. Bradley et al., “Evolution of flower color pattern through selection on regulatory small RNAs,” Science, vol. 358, no. 6365. American Association for the Advancement of Science, pp. 925–928, 2017.","short":"D. Bradley, P. Xu, I. Mohorianu, A. Whibley, D. Field, H. Tavares, M. Couchman, L. Copsey, R. Carpenter, M. Li, Q. Li, Y. Xue, T. Dalmay, E. Coen, Science 358 (2017) 925–928.","chicago":"Bradley, Desmond, Ping Xu, Irina Mohorianu, Annabel Whibley, David Field, Hugo Tavares, Matthew Couchman, et al. “Evolution of Flower Color Pattern through Selection on Regulatory Small RNAs.” Science. American Association for the Advancement of Science, 2017. https://doi.org/10.1126/science.aao3526.","ista":"Bradley D, Xu P, Mohorianu I, Whibley A, Field D, Tavares H, Couchman M, Copsey L, Carpenter R, Li M, Li Q, Xue Y, Dalmay T, Coen E. 2017. Evolution of flower color pattern through selection on regulatory small RNAs. Science. 358(6365), 925–928."},"department":[{"_id":"NiBa"}],"title":"Evolution of flower color pattern through selection on regulatory small RNAs","author":[{"full_name":"Bradley, Desmond","last_name":"Bradley","first_name":"Desmond"},{"full_name":"Xu, Ping","last_name":"Xu","first_name":"Ping"},{"full_name":"Mohorianu, Irina","last_name":"Mohorianu","first_name":"Irina"},{"full_name":"Whibley, Annabel","last_name":"Whibley","first_name":"Annabel"},{"id":"419049E2-F248-11E8-B48F-1D18A9856A87","first_name":"David","last_name":"Field","full_name":"Field, David","orcid":"0000-0002-4014-8478"},{"last_name":"Tavares","full_name":"Tavares, Hugo","first_name":"Hugo"},{"first_name":"Matthew","last_name":"Couchman","full_name":"Couchman, Matthew"},{"first_name":"Lucy","last_name":"Copsey","full_name":"Copsey, Lucy"},{"first_name":"Rosemary","last_name":"Carpenter","full_name":"Carpenter, Rosemary"},{"last_name":"Li","full_name":"Li, Miaomiao","first_name":"Miaomiao"},{"first_name":"Qun","full_name":"Li, Qun","last_name":"Li"},{"first_name":"Yongbiao","full_name":"Xue, Yongbiao","last_name":"Xue"},{"first_name":"Tamas","full_name":"Dalmay, Tamas","last_name":"Dalmay"},{"full_name":"Coen, Enrico","last_name":"Coen","first_name":"Enrico"}],"publist_id":"7193","_id":"611","status":"public","type":"journal_article","day":"17","language":[{"iso":"eng"}],"publication":"Science","publication_identifier":{"issn":["00368075"]},"publication_status":"published","year":"2017","issue":"6365","date_published":"2017-11-17T00:00:00Z","doi":"10.1126/science.aao3526","volume":358,"date_created":"2018-12-11T11:47:29Z","page":"925 - 928","oa_version":"None","abstract":[{"text":"Small RNAs (sRNAs) regulate genes in plants and animals. Here, we show that population-wide differences in color patterns in snapdragon flowers are caused by an inverted duplication that generates sRNAs. The complexity and size of the transcripts indicate that the duplication represents an intermediate on the pathway to microRNA evolution. The sRNAs repress a pigment biosynthesis gene, creating a yellow highlight at the site of pollinator entry. The inverted duplication exhibits steep clines in allele frequency in a natural hybrid zone, showing that the allele is under selection. Thus, regulatory interactions of evolutionarily recent sRNAs can be acted upon by selection and contribute to the evolution of phenotypic diversity.","lang":"eng"}],"month":"11","intvolume":" 358","quality_controlled":"1","publisher":"American Association for the Advancement of Science","scopus_import":1},{"oa_version":"Published Version","abstract":[{"text":"Bacteria in groups vary individually, and interact with other bacteria and the environment to produce population-level patterns of gene expression. Investigating such behavior in detail requires measuring and controlling populations at the single-cell level alongside precisely specified interactions and environmental characteristics. Here we present an automated, programmable platform that combines image-based gene expression and growth measurements with on-line optogenetic expression control for hundreds of individual Escherichia coli cells over days, in a dynamically adjustable environment. This integrated platform broadly enables experiments that bridge individual and population behaviors. We demonstrate: (i) population structuring by independent closed-loop control of gene expression in many individual cells, (ii) cell-cell variation control during antibiotic perturbation, (iii) hybrid bio-digital circuits in single cells, and freely specifiable digital communication between individual bacteria. These examples showcase the potential for real-time integration of theoretical models with measurement and control of many individual cells to investigate and engineer microbial population behavior.","lang":"eng"}],"month":"12","intvolume":" 8","scopus_import":1,"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"5190","checksum":"44bb5d0229926c23a9955d9fe0f9723f","creator":"system","date_updated":"2020-07-14T12:47:20Z","file_size":1951699,"date_created":"2018-12-12T10:16:05Z","file_name":"IST-2017-911-v1+1_s41467-017-01683-1.pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["20411723"]},"publication_status":"published","volume":8,"issue":"1","ec_funded":1,"_id":"613","status":"public","pubrep_id":"911","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["576","579"],"date_updated":"2021-01-12T08:06:15Z","file_date_updated":"2020-07-14T12:47:20Z","department":[{"_id":"CaGu"},{"_id":"GaTk"}],"acknowledgement":"We are grateful to M. Lang, H. Janovjak, M. Khammash, A. Milias-Argeitis, M. Rullan, G. Batt, A. Bosma-Moody, Aryan, S. Leibler, and members of the Guet and Tkačik groups for helpful discussion, comments, and suggestions. We thank A. Moglich, T. Mathes, J. Tabor, and S. Schmidl for kind gifts of strains, and R. Hauschild, B. Knep, M. Lang, T. Asenov, E. Papusheva, T. Menner, T. Adletzberger, and J. Merrin for technical assistance. The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007–2013) under REA grant agreement no. [291734]. (to R.C. and J.R.), Austrian Science Fund grant FWF P28844 (to G.T.), and internal IST Austria Interdisciplinary Project Support. J.R. acknowledges support from the Agence Nationale de la Recherche (ANR) under Grant Nos. ANR-16-CE33-0018 (MEMIP), ANR-16-CE12-0025 (COGEX) and ANR-10-BINF-06-01 (ICEBERG).","quality_controlled":"1","publisher":"Nature Publishing Group","oa":1,"day":"01","publication":"Nature Communications","has_accepted_license":"1","year":"2017","doi":"10.1038/s41467-017-01683-1","date_published":"2017-12-01T00:00:00Z","date_created":"2018-12-11T11:47:30Z","article_number":"1535","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"},{"call_identifier":"FWF","_id":"254E9036-B435-11E9-9278-68D0E5697425","grant_number":"P28844-B27","name":"Biophysics of information processing in gene regulation"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Chait, Remy P, Jakob Ruess, Tobias Bergmiller, Gašper Tkačik, and Calin C Guet. “Shaping Bacterial Population Behavior through Computer Interfaced Control of Individual Cells.” Nature Communications. Nature Publishing Group, 2017. https://doi.org/10.1038/s41467-017-01683-1.","ista":"Chait RP, Ruess J, Bergmiller T, Tkačik G, Guet CC. 2017. Shaping bacterial population behavior through computer interfaced control of individual cells. Nature Communications. 8(1), 1535.","mla":"Chait, Remy P., et al. “Shaping Bacterial Population Behavior through Computer Interfaced Control of Individual Cells.” Nature Communications, vol. 8, no. 1, 1535, Nature Publishing Group, 2017, doi:10.1038/s41467-017-01683-1.","ama":"Chait RP, Ruess J, Bergmiller T, Tkačik G, Guet CC. Shaping bacterial population behavior through computer interfaced control of individual cells. Nature Communications. 2017;8(1). doi:10.1038/s41467-017-01683-1","apa":"Chait, R. P., Ruess, J., Bergmiller, T., Tkačik, G., & Guet, C. C. (2017). Shaping bacterial population behavior through computer interfaced control of individual cells. Nature Communications. Nature Publishing Group. https://doi.org/10.1038/s41467-017-01683-1","short":"R.P. Chait, J. Ruess, T. Bergmiller, G. Tkačik, C.C. Guet, Nature Communications 8 (2017).","ieee":"R. P. Chait, J. Ruess, T. Bergmiller, G. Tkačik, and C. C. Guet, “Shaping bacterial population behavior through computer interfaced control of individual cells,” Nature Communications, vol. 8, no. 1. Nature Publishing Group, 2017."},"title":"Shaping bacterial population behavior through computer interfaced control of individual cells","author":[{"id":"3464AE84-F248-11E8-B48F-1D18A9856A87","first_name":"Remy P","last_name":"Chait","orcid":"0000-0003-0876-3187","full_name":"Chait, Remy P"},{"first_name":"Jakob","id":"4A245D00-F248-11E8-B48F-1D18A9856A87","last_name":"Ruess","full_name":"Ruess, Jakob","orcid":"0000-0003-1615-3282"},{"full_name":"Bergmiller, Tobias","orcid":"0000-0001-5396-4346","last_name":"Bergmiller","id":"2C471CFA-F248-11E8-B48F-1D18A9856A87","first_name":"Tobias"},{"full_name":"Tkacik, Gasper","orcid":"0000-0002-6699-1455","last_name":"Tkacik","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","first_name":"Gasper"},{"orcid":"0000-0001-6220-2052","full_name":"Guet, Calin C","last_name":"Guet","id":"47F8433E-F248-11E8-B48F-1D18A9856A87","first_name":"Calin C"}],"publist_id":"7191","article_processing_charge":"Yes (in subscription journal)"},{"_id":"615","type":"journal_article","status":"public","date_updated":"2021-01-12T08:06:22Z","department":[{"_id":"LaEr"}],"abstract":[{"lang":"eng","text":"We show that the Dyson Brownian Motion exhibits local universality after a very short time assuming that local rigidity and level repulsion of the eigenvalues hold. These conditions are verified, hence bulk spectral universality is proven, for a large class of Wigner-like matrices, including deformed Wigner ensembles and ensembles with non-stochastic variance matrices whose limiting densities differ from Wigner's semicircle law."}],"oa_version":"Submitted Version","scopus_import":1,"main_file_link":[{"url":"https://arxiv.org/abs/1504.00650","open_access":"1"}],"month":"11","intvolume":" 53","publication_identifier":{"issn":["02460203"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":53,"issue":"4","ec_funded":1,"project":[{"name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"citation":{"ama":"Erdös L, Schnelli K. Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2017;53(4):1606-1656. doi:10.1214/16-AIHP765","apa":"Erdös, L., & Schnelli, K. (2017). Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/16-AIHP765","ieee":"L. Erdös and K. Schnelli, “Universality for random matrix flows with time dependent density,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 53, no. 4. Institute of Mathematical Statistics, pp. 1606–1656, 2017.","short":"L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.","mla":"Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 53, no. 4, Institute of Mathematical Statistics, 2017, pp. 1606–56, doi:10.1214/16-AIHP765.","ista":"Erdös L, Schnelli K. 2017. Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. 53(4), 1606–1656.","chicago":"Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2017. https://doi.org/10.1214/16-AIHP765."},"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","publist_id":"7189","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"},{"last_name":"Schnelli","orcid":"0000-0003-0954-3231","full_name":"Schnelli, Kevin","first_name":"Kevin","id":"434AD0AE-F248-11E8-B48F-1D18A9856A87"}],"title":"Universality for random matrix flows with time dependent density","publisher":"Institute of Mathematical Statistics","quality_controlled":"1","oa":1,"year":"2017","day":"01","publication":"Annales de l'institut Henri Poincare (B) Probability and Statistics","page":"1606 - 1656","doi":"10.1214/16-AIHP765","date_published":"2017-11-01T00:00:00Z","date_created":"2018-12-11T11:47:30Z"}]