Bulk scaling limits in free boundary Schur process

Mirjana Vuletić
University of Massachusetts Boston

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.

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