Videos

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

Presenter
March 25, 2024
Abstract
Recorded 25 March 2024. Mirjana Vuletić of the University of Massachusetts Boston presents "Bulk scaling limits in free boundary Schur process" at IPAM's Statistical Mechanics and Discrete Geometry Workshop. Abstract: Free boundary Schur process is a generalization of the original Schur process of Okounkov and Reshetikhin, with no restrictions on boundary partitions. This talk will focus on the correlation function and bulk scaling limits of this process. I will explain how the correlation function was derived using some shift-mixing approach that was first employed by Borodin in the study of periodic Schur process. I will also discuss the bulk limits which we derive under fairly general conditions. The limiting kernels we obtain represent new deformations of universal distributions of Schur processes which include discrete sine kernel, poissonized Plancherel measure, and uniform measure. The talk is based on the joint work with D. Betea, J. Bouttier, and P. Nejjar. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-statistical-mechanics-and-discrete-geometry/