Séminaire Lotharingien de Combinatoire, 78B.44 (2017), 12 pp.

Dan Betea, Jérémie Bouttier, Peter Nejjar and Mirjana Vuletić

The Free Boundary Schur Process and Applications

Abstract. We study the Schur process with two free boundaries, a generalization of the original Schur process of Okounkov and Reshetikhin. We compute its correlation functions for arbitrary specializations and apply the result to the asymptotics of symmetric last passage percolation models, symmetric plane partitions and plane overpartitions.

Received: November 14, 2016. Accepted: February 17, 2017. Final version: April 1, 2017.

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