Periodic Schur process and cylindric partitions

Details Periodic Schur process and cylindric partitions Periodic Schur process and cylindric partitions

2006-01-01

arxiv.org/abs/math/0601019v1

Mathematics

Combinatorics

AMSTeX, 62 pages, 2 figures

Scientific paper

Periodic Schur process is a generalization of the Schur process introduced in math.CO/0107056. We compute its correlation functions and their bulk scaling limits, and discuss several applications including asymptotic analysis of uniform measures on cylindric partitions, time-dependent extensions of the discrete sine kernel, and bulk limit behavior of certain measures on partitions introduced in hep-th/0306238 in connection with supersymmetric gauge theories.

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