CLT for a class of random walks in dynamic random environments

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• Augusto Teixeira (IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro)
• Thursday 11 July 2024, 15:30-16:30
• Seminar Room 1, Newton Institute.

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SSDW01 - Self-interacting processes

This talk will start with a brief overview of some recent developments in the study ofrandom walks in dynamic random environments. Then we will present a new result that providesa CLT for a family of environments that mix fast, but non-uniformly. The proof of the result isbased on what we call the Random Markov Property. Roughly speaking, this technique involvesthe positioning of traps throughout the environment, insuch a way that, when the random walksteps over one of them, it sees an independent future. Finally we will present some openproblems of the area that we believe to be exciting and promising. This talk is based on a joint work with Julien Allasia, Rangel Baldasso and Oriane Blondel.

This talk is part of the Isaac Newton Institute Seminar Series series.

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