Periodic Schur process and cylindric partitions
Combinatorics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0601019,
title = {Periodic Schur process and cylindric partitions},
author = {Alexei Borodin},
journal= {arXiv preprint arXiv:math/0601019},
year = {2007}
}
Comments
AMSTeX, 62 pages, 2 figures