Quenched Invariance Principle for Random Walks in Random Environments Admitting a Cycle Decomposition

Topic: 
Quenched Invariance Principle for Random Walks in Random Environments Admitting a Cycle Decomposition
Date & Time: 
Tuesday, November 12, 2024 - 17:00 to 18:00
Speaker: 
Weile Weng, Technical University of Berlin
Location: 
W923, West Hall, NYU Shanghai New Bund Campus

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Abstract:  

We study a class of non-reversible, continuous-time random walks in random environments on $\mathbb{Z}^d$ that admit a cycle decomposition with finite cycle length. We prove a quenched invariance principle under an integrability condition comparable to the p-q moment condition of Andres, Deuschel and Slowik for the random conductance model.

This talk is based on joint work with Jean-Dominique Deuschel (Technical University of Berlin) and Martin Slowik (University of Mannheim).

Biography:  

Weile Weng recently obtained her doctorate in mathematics from the Technical University of Berlin under the supervision of Professors Jean-Dominique Deuschel and Martin Slowik. She received her bachelor's and master's degrees in mathematics from Ludwig Maximilian University of Munich and the Technical University of Munich. Prior to her mathematical studies, she studied economics and psychology. Her current research interests focus on random walks in random environments and related topics.

Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

This event is open to the NYU Shanghai community and Math community.