Date:
Thu, 29/05/202510:00-11:00
Title: Dimension of Stationary Measures on $\mathbb{R}$ Generated by Systems of Analytic Contractions
Abstract: I will present a recent result that extends M. Hochman's work on exponentially separated self-similar measures on $\mathbb{R}$ to the real analytic setting. The main difficulty stems from the infinite dimensionality of the space of real analytic maps, which requires new ideas beyond those used in the self-similar case.
Abstract: I will present a recent result that extends M. Hochman's work on exponentially separated self-similar measures on $\mathbb{R}$ to the real analytic setting. The main difficulty stems from the infinite dimensionality of the space of real analytic maps, which requires new ideas beyond those used in the self-similar case.