Probability and Mathematical Physics Seminar

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Strong characterization of the Airy line ensemble

Speaker: Jiaoyang Huang, University of Pennsylvania

Location: Warren Weaver Hall 1302

Date: Friday, October 27, 2023, 11:10 a.m.

Synopsis:

The Airy line ensemble was introduced by Prähofer and Spohn and is conjectured to describe the scaling limit of various random surfaces and stochastic growth models in the Kardar–Parisi–Zhang universality class. In this talk I will discuss a characterization result for Airy line ensembles, essentially indicating that if the top curve of a Brownian line ensemble is within a multiplicative 1+o(1) from a parabola, then it must be the Airy line ensemble (up to an affine shift). This is a joint work with Amol Aggarwal.