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Probability Seminar - Wlodek Bryc

Ohio State Garden of Constants
February 6, 2025
10:20 am - 11:15 am
Cockins Hall 212

Wlodek Bryc
University of Cincinnati

Title
Open TASEP in steady state as the top marginal of a two-layer ensemble

Abstract
I will discuss the stationary measure for the Totally Asymmetric Simple Exclusion Process (TASEP) on a segment with open boundaries, represented as the top marginal of a two-layer measure. This two-layer representation facilitates the analysis of particle density (or height function) fluctuations for parameters near the so-called triple point, provides a concise proof of the large deviations principle, and yields asymptotic fluctuations around a random limit for   parameters on the coexistence line.

The talk is based on papers with Yizao Wang, Joseph Najnudel and Pavel Zatitskii.

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Seminar – Probability