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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