Benjamini-Schramm and Spectral Convergence of Rauzy Graphs

18 nov. 2024, 11:30
45m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

Mme Tatiana Nagnibeda (Université de Genève)

Description

Many dynamical systems admit a natural symbolic representation as subshifts over a finite alphabet. Their complexity can be studied by associating to the subshift an infinite family of finite graphs that describe the local structure of its orbits; such graphs are known as Rauzy graphs. In this talk we will be interested in convergence properties of these sequences of graphs and of their spectra, and how their limits are related to the invariant measures of the dynamical system.

Documents de présentation