Bulk Scaling Limits in Free Boundary Schur Process
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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)