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Article overview
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Fluctuations of particle systems determined by Schur generating functions | | Alexey Bufetov
; Vadim Gorin
; | | Date: |
5 Apr 2016 | | Abstract: | We develop a new toolbox for the analysis of the global behavior of
stochastic discrete particle systems. We introduce and study the notion of the
Schur generating function of a random discrete configuration. Our main result
provides a Central Limit Theorem (CLT) for such a configuration given certain
conditions on the Schur generating function. As applications of this approach,
we prove CLT’s for several probabilistic models coming from asymptotic
representation theory and statistical physics, including random lozenge and
domino tilings, non-intersecting random walks, decompositions of tensor
products of representations of unitary groups. | | Source: | arXiv, 1604.1110 | | Services: | Forum | Review | PDF | Favorites | |
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