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Bulk Scaling Limits in Free Boundary Schur Process

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

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Mathematical Physics Courses Discrete Mathematics Courses Probability Theory Courses Statistical Mechanics Courses Correlation Functions Courses Discrete Geometry Courses

Course Description

Overview

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Explore a 52-minute lecture on "Bulk scaling limits in free boundary Schur process" presented by Mirjana Vuletić from the University of Massachusetts Boston at IPAM's Statistical Mechanics and Discrete Geometry Workshop. Delve into the generalization of the original Schur process, focusing on correlation functions and bulk scaling limits. Discover how the correlation function was derived using a shift-mixing approach, and examine the bulk limits obtained under general conditions. Learn about new deformations of universal distributions in Schur processes, including discrete sine kernel, poissonized Plancherel measure, and uniform measure. Gain insights from this joint work with D. Betea, J. Bouttier, and P. Nejjar, recorded on March 25, 2024, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.

Syllabus

Mirjana Vuletić - Bulk scaling limits in free boundary Schur process - IPAM at UCLA


Taught by

Institute for Pure & Applied Mathematics (IPAM)

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