Analysis and Mathematical Physics
Quantum Ergodicity and Mixing on Large Schreier Graphs
In this talk, I will present joint work with Charles Bordenave and Mostafa Sabri establishing quantum ergodicity and quantum weak mixing for sequences of finite Schreier graphs converging, in the Benjamini–Schramm sense, to an infinite Cayley graph whose adjacency operator has absolutely continuous spectrum. The proof relies on a new approach to quantum ergodicity on graphs, based on trace computations, resolvent approximations and representation theory.
Date & Time
March 03, 2026 | 2:30pm – 3:30pm
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03/03/2026 14:30
03/03/2026 15:30
Analysis and Mathematical Physics
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Topic: Quantum Ergodicity and Mixing on Large Schreier Graphs
Speakers: Cyril Letrouit, Laboratoire de Mathématiques d'Orsay
More: https://www.ias.edu/math/events/analysis-and-mathematical-physics-77
In this talk, I will present joint work with Charles Bordenave and
Mostafa Sabri establishing quantum ergodicity and quantum weak mixing
for sequences of finite Schreier graphs converging, in the
Benjamini–Schramm sense, to an infinite Cayley graph whose adjacency
operator has absolutely continuous spectrum. The proof relies on a new
approach to quantum ergodicity on graphs, based on trace computations,
resolvent approximations and representation theory.
Simonyi Hall 101 and Remote Access
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Location
Simonyi Hall 101 and Remote AccessSpeakers
Cyril Letrouit, Laboratoire de Mathématiques d'Orsay