报告题目：Expansions in the CLT and LLT for Markov chains under optimal moment conditions

by Françoise Pène

报告人：Françoise Pène（Universit´e de Brest）

报告时间：2023年9月22日19:00-20:00

报告地点：腾讯会议：188-484-213

摘要：This talk deal with recent results of expansions in the Central Limit Theorem and in the Local Central Limit Theorem for Markov chains under optimal moment assumptions (identical to the iid case). These results were obtained via Fourier operator perturbation techniques, in a work in collaboration with Kasun Fernando  Akurugodage, with the use of expansions established in a recent article improving a previous work in collaboration with Loïc Hervé.

报告人简介：She is a professor at the University of Brest in France, with a wide range of research interests, including probability limit theorem, stationary sequences, dynamic systems, partial hyperbolic systems, Markov chains, random walks, random scenes, random orientations, collisions of random walks in random environments, Levy Lorentz processes, and more.