Counting Limit Theorems for Representations of Gromov-Hyperbolic Groups

Explore counting limit theorems for representations of Gromov-hyperbolic groups in this 39-minute lecture from the Workshop on "Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into statistical results analogous to random matrix products theory for deterministic sequences of spherical averages in Gromov-hyperbolic groups. Examine the law of large numbers, central limit theorem, and large deviations in this context. Investigate connections with classical random matrix products theory, a result by Lubotzky-Mozes-Raghunathan, and a question posed by Kaimanovich-Kapovich-Schupp. Learn about joint work with S. Cantrell on this topic in geometric and asymptotic group theory.