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Periodic Schur process and cylindric partitions

by: Alexei Borodin
(1 Jan 2006)  Key: citeulike:11894099

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Abstract

Periodic Schur process is a generalization of the Schur process introduced in <a href="/abs/math.CO/0107056">math.CO/0107056</a>. 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 <a href="/abs/hep-th/0306238">hep-th/0306238</a> in connection with supersymmetric gauge theories.


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