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Probability Seminar - Xuan Wu

Ohio State Garden of Constants
April 24, 2025
10:20 am - 11:15 am
Cockins Hall - CH212

Xuan Wu
University of Illinois Urbana-Champaign

Title
Applications of optimal transport to non-intersecting paths

Abstract
Non-intersecting random paths naturally arise in probability theory and mathematical physics, appearing in settings such as level curves of random surfaces and the evolution of eigenvalues of random matrices. Understanding the regularity of these paths is crucial for analyzing their local structures and asymptotic behaviors. Previously, path regularity has been achieved through Gibbs resampling techniques. In this talk, we introduce a novel approach that uses optimal transport to establish path regularity. This method sharpens several previous estimates and yields new results that were previously inaccessible.

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Seminar – Probability