Benjamini-Schramm and Spectral Convergence of Rauzy Graphs

Explore the convergence properties of Rauzy graphs and their spectra in this 35-minute mathematics lecture from the Institut des Hautes Etudes Scientifiques (IHES). Delve into how dynamical systems can be represented symbolically as subshifts over finite alphabets, and examine their complexity through the lens of finite graphs that describe orbital local structures. Learn how these sequences of graphs and their spectral properties converge, and discover their relationship to the invariant measures of dynamical systems. Presented by Tatiana Nagnibeda from the Université de Genève, this advanced mathematical discussion offers valuable insights into the intersection of graph theory, dynamical systems, and spectral analysis.