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Article Dans Une Revue Journal of Statistical Physics Année : 2016

ARCTIC CURVES OF THE SIX-VERTEX MODEL ON GENERIC DOMAINS: THE TANGENT METHOD

Résumé

We revisit the problem of determining the Arctic curve in the six-vertex model with domain wall boundary conditions. We describe an alternative method, by which we recover the previously conjectured analytic expression in the square domain. We adapt the method to work for a large class of domains, and for other models exhibiting limit shape phenomena. We study in detail some examples, and derive, in particular, the Arctic curve of the six-vertex model in a triangoloid domain at the ice-point.
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Dates et versions

hal-03210251 , version 1 (27-04-2021)

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F. Colomo, A. Sportiello. ARCTIC CURVES OF THE SIX-VERTEX MODEL ON GENERIC DOMAINS: THE TANGENT METHOD. Journal of Statistical Physics, 2016, 164 (6), pp.1488-1523. ⟨10.1007/s10955-016-1590-0⟩. ⟨hal-03210251⟩
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