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Periodic Schur process and cylindric partitions

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arxiv math/0601019 v1 pith:7YXWGVNW submitted 2006-01-01 math.CO math-phmath.MP

Alexei Borodin This is my paper · ORCID
classification math.COmath-phmath.MP
keywords partitionsprocessschurbulkcylindricintroducedmeasuresperiodic
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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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  1. $A_1^{(1)}$-Grounded partitions at levels $1$ and $2$, Part I: bijections

    math.CO 2025-08 conditional novelty 8.0 of 10

    Grounded partitions at level 2 of type A_1^(1) are in size- and length-preserving bijection with odd overpartitions (ground b) and with partitions whose even parts are distinct (ground a).

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