In this talk, we discuss the regularity of Lyapunov exponents for products of random matrices in GL(d), for d greater or equal than two. We prove that the top Lyapunov exponent is point wise Hölder continuous with respect to the Wasserstein-Hausdorff distance in the space of probability measures with compact support, whenever this exponent is simple and the equator has dimension one. A key ingredient in this result is a quantitative analysis of stationary measures on the projective space: when a one-dimensional equator is present, we establish decay estimates for the mass assigned by stationary measures to neighborhoods of this set. This is joint work with Adriana Sánchez Chavarría, El Hadji Yaya Tall and Marcelo Viana.

Se llevará a cabo el día 10 de junio, 2026, a las 11:00a.m., mediante la plataforma de zoom, con la siguiente información:

ID de la reunión: 666 155 1739

Ana Cristina Barreto