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Journal Articles Journal of Statistical Physics Year : 2007

Non-Colliding Paths in the Honeycomb Dimer Model and the Dyson Process

Abstract

In this paper we describe a natural family of random non-intersecting discrete paths in the dimer model on the honeycomb lattice. We show that when the dimer model is going to freeze, this family of paths, after a proper rescaling, converge to the extended sine process, obtained traditionally as the limit of the Dyson model when the number of particles goes to infinity.
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hal-03896822 , version 1 (13-12-2022)

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Cédric Boutillier. Non-Colliding Paths in the Honeycomb Dimer Model and the Dyson Process. Journal of Statistical Physics, 2007, 129 (5-6), pp.1117-1135. ⟨10.1007/s10955-007-9431-9⟩. ⟨hal-03896822⟩

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