CEREMADE
Salez Justin
Full Professor
Biography
Former student of Ecole Normale Supérieure, he earned a Phd in mathematics at Université Pierre et Marie Curie in 2011. After a post-doctoral position at UC Berkley, he became Assistant Professor at Université Paris-Diderot in 2012, before joining Université Paris-Dauphine in 2019 as Full Professor.
Publications
Articles
Salez J. (2024), Spectral gap and curvature of monotone Markov chains, The Annals of Probability, vol. 52, n°3, p. 1153-1161
Salez J. (2024), The varentropy criterion is sharp on expanders, Annales Henri Lebesgue, vol. 7, p. 239-250
Salez J. (2024), Cutoff for non-negatively curved Markov chains, Journal of the European Mathematical Society, vol. 26, n°11, p. 4375–4392
Hermon J., Salez J. (2023), Modified log-Sobolev inequalities for strong-Rayleigh measures, Annals of Applied Probability, vol. 33, n°2, p. 1301-1314
Salez J., Tikhomirov K., Youssef P. (2023), Upgrading MLSI to LSI for reversible Markov chains, Journal of Functional Analysis, vol. 285, n°9, p. 110076
Münch F., Salez J. (2023), Mixing time and expansion of non-negatively curved Markov chains, Journal de l'école Polytechnique. Mathématiques, vol. 10, p. 575-590
Salez J. (2023), Universality of cutoff for exclusion with reservoirs, Annals of Probability, vol. 51, n°2, p. 478 - 494
Salez J. (2022), Sparse expanders have negative curvature, Geometric and Functional Analysis , vol. 32, p. 1486–1513
Hermon J., Salez J. (2021), Entropy dissipation estimates for inhomogeneous zero-range processes, Annals of Applied Probability, vol. 31, n°5, p. 2275-2283
Hermon J., Salez J. (2021), The interchange process on high-dimensional products, Annals of Applied Probability, vol. 31, n°1, p. 84-98
Coste S., Salez J. (2021), Emergence of extended states at zero in the spectrum of sparse random graphs, Annals of Probability, vol. 49, n°4, p. 2012-2030
Salez J. (2021), A sharp log-Sobolev inequality for the multislice, Annales Henri Lebesgue, vol. 4, p. 1143-1161
Hermon J., Salez J. (2020), Cutoff for the mean-field zero-range process with bounded monotone rates, Annals of Probability, vol. 48, n°2, p. 742-759
Salez J. (2020), Spectral atoms of unimodular random trees, Journal of the European Mathematical Society, vol. 22, n°2, p. 345–363
Hermon J., Salez J. (2019), A version of Aldous’ spectral-gap conjecture for the zero range process, Annals of Applied Probability, vol. 29, n°4, p. 2217-2229
Bordenave C., Caputo P., Salez J. (2019), Cutoff at the “entropic time” for sparse Markov chains, Probability Theory and Related Fields, vol. 173, n°1-2, p. 261-292
Merle M., Salez J. (2019), Cutoff for the mean-field zero-range process, Annals of Probability, vol. 47, n°5, p. 3170-3201
Ben-Hamou A., Peres Y., Salez J. (2018), Weighted sampling without replacement, Brazilian Journal of Probability and Statistics, vol. 32, n°3, p. 657-669
Bordenave C., Caputo P., Salez J. (2018), Random walk on sparse random digraphs, Probability Theory and Related Fields, vol. 170, n°3-4, p. 933-960
Ben-Hamou A., Salez J. (2017), Cutoff for nonbacktracking random walks on sparse random graphs, Annals of Probability, vol. 45, n°3, p. 1752-1770
Anantharam V., Salez J. (2016), The densest subgraph problem in sparse random graphs, Annals of Applied Probability, vol. 26, n°1, p. 305-327
Salez J. (2016), The Interpolation Method for Random Graphs with Prescribed Degrees, Combinatorics, Probability and Computing, vol. 25, n°3, p. 436-447
Aldous D., Lanoue D., Salez J. (2015), The compulsive gambler process, Electronic Journal of Probability, vol. 20, p. 18
Salez J. (2015), The Mézard-Parisi equation for matchings in pseudo-dimension d>1, Electronic Communications in Probability, vol. 20, p. 7
Salez J. (2015), Every totally real algebraic integer is a tree eigenvalue, Journal of Combinatorial Theory. Series B, vol. 111, p. 249-256
Salez T., Salez J., Dalnoki-Veress K., Raphaël E., Forrest J. (2015), Cooperative strings and glassy interfaces, PNAS - Proceedings of the National Academy of Sciences of the United States of America, vol. 112, n°27, p. 8227-8231
Bordenave C., Lelarge M., Salez J. (2013), Matchings on infinite graphs, Probability Theory and Related Fields, vol. 157, n°1-2, p. 183-208
Salez J. (2013), Joint Distribution of Distances in Large Random Regular Networks, Journal of Applied Probability, vol. 50, n°3, p. 861-870
Salez J. (2013), Weighted enumeration of spanning subgraphs in locally tree-like graphs, Random Structures & Algorithms, vol. 43, n°3, p. 377-397
Bordenave C., Lelarge M., Salez J. (2011), The rank of diluted random graphs, Annals of Probability, vol. 39, n°3, p. 1097-1121
Salez J., Shah D. (2009), Belief Propagation: An Asymptotically Optimal Algorithm for the Random Assignment Problem, Mathematics of Operations Research, vol. 34, n°2, p. 468-480
Communications avec actes
Salez J., Shah D. (2009), Optimality of Belief Propagation for Random Assignment Problem, in Claire Mathieu, Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 187-196 p.
Prépublications / Cahiers de recherche
Bristiel A., Salez J. (2022), Separation cutoff for activated random walks, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 21 p.
Salez J. (2021), Cutoff for non-negatively curved Markov chains, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 21 p.