Probability and Mathematical Physics Seminar
This seminar covers a wide range of topics in pure and applied probability and in mathematical physics. Unless otherwise noted, the talks take place on Fridays, 11:10am–12pm, in room WWH 1302. See directions to the Courant Institute.
To be kept informed, you can subscribe to the Probability Seminar Mailing list.
Twice every semester, we will have a joint Columbia–Courant meeting (hosted once at each institution) as the Probability and the City seminar.
Seminar Organizer(s): Eyal Lubetzky, Paul Bourgade, Klara Courteaut, and the probability group
Upcoming Events
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Friday, January 30, 202612PM, Warren Weaver Hall 1302
Quantum mixing on large Schreier graphs
Charles Bordenave, CNRS & Institut de Mathématiques de MarseilleSynopsis:
Quantum ergodicity describes the delocalization of most eigenfunctions of Laplace-type operators on graphs or manifolds exhibiting chaotic classical dynamics. Quantum mixing is a stronger notion, additionally controlling correlations between eigenfunctions at different energy levels. In this work, we study families of finite Schreier graphs that converge to an infinite Cayley graph and establish quantum mixing under the assumption that the limiting Cayley graph has absolutely continuous spectrum. The proof relies on a new approach to quantum ergodicity, based on trace computations, resolvent approximations and representation theory. This is a joint work with Cyril Letrouit and Mostafa Sabri.
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Friday, February 6, 202611:10AM, Warren Weaver Hall 1302
TBA
Hindy Drillick, Columbia University