Home /  Scaling limits of random walks in random environments

Seminar

Scaling limits of random walks in random environments September 05, 2025 (11:00 AM PDT - 12:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Hindy Drillick (Simons Laufer Mathematical Sciences Institute (SLMath))
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Keywords and Mathematics Subject Classification (MSC)
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Scaling limits of random walks in random environments

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In this talk, we will consider the model of random walks in a random environment, which can be thought of as a discrete model for diffusing particles in a time-dependent random environment. I will present joint work with Sayan Das and Shalin Parekh on the weak convergence of this model to the multiplicative stochastic heat equation in a certain moderate deviation regime. I will also discuss an application to the fluctuations of the maximal particle in a system with N random walkers in the same environment.

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Scaling limits of random walks in random environments