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Professor Andrew Torok, University of Houston – Ergodic Theory Seminar
November 17, 2021 @ 12:00 pm - 1:00 pm
Time: 12:10 – 1:10 pm
Title: Stable laws for random dynamical systems.
Abstract: For a random system consisting of beta-transformations, or more general uniformly expanding maps, we consider the convergence to a stable law (the analogue of the Central Limit Theorem for certain observations that have infinite second moments). We obtain quenched convergence (that is, for almost each choice of the sequence of maps) in the Skorokhod J_1 topology, by extending results of Marta Tyran-Kaminska.
This is joint work with Matthew Nicol and Romain Aimino.