• Speaker: Renaud Requipas, NYU
• Title: Estimation of entropy production on the one-sided shift
• Date: 12/12/2022
• Time: 11:00 AM - 12:00 PM
• Place: C304 Wells Hall
• Contact: Jeffrey Hudson Schenker (schenke6@msu.edu)

Using repeated quantum measurements as a guiding physical example, I will introduce the notion of entropy production for invariant measures on the one-sided shift. Then, I will present recent results on a related estimation problem. Informally, this is an attempt at answering the following question: does a typical sequence of outcomes carry a signature of the irreversibility of the stochastic process generating those outcomes? This is based on joint works (some still in progress) with G. Cristadoro, N. Cunéo, M. Degli Esposti and V. Jaksic.

• Speaker: Adrián Hinojosa-Calleja, University of Barcelona
• Title: Hitting probabilities and exact modulus of continuity for q-isotropic Gaussian random fields
• Date: 12/14/2022
• Time: 3:00 PM - 3:50 PM
• Place: Online (virtual meeting) (Virtual Meeting Link)
• Contact: Dapeng Zhan (zhan@msu.edu)

A Gaussian random field is q-isotropic if its associated canonical metric is equivalent to a gauge function q. We develop criteria for hitting probabilities and the existence of a global exact modulus of continuity for such processes. We explore the applications of the criteria to two toy examples: The q-Brownian sheet, and the solution to the linear stochastic Poisson equation driven by white noise. This is joint work with Marta Sanz-Solé.

• Speaker: Jing Zhou, Penn State University
• Title: Application of KAM Theory in the Fermi-Ulam Models
• Date: 12/16/2022
• Time: 2:00 PM - 3:00 PM
• Place: C304 Wells Hall
• Contact: Huyi Hu (hhu@msu.edu)

In this talk I’ll brief introduce the Fermi acceleration problem and some existing results on the subject. In particular, I’ll discuss how KAM theory has been applied in several variants of the Fermi-Ulam models. I’ll also discuss some open problems in this direction.