Probability and Mathematical Physics Seminar

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Does a piece of dimer configuration determines its domain of definition ?

Speaker: Benoit Laslier, LPSM Paris

Location: Warren Weaver Hall 1302

Date: Friday, May 5, 2023, 11:10 a.m.

Synopsis:

Critical models are, almost by definition, supposed to feature a slow
decay of correlations for local observables while retaining some mixing
even for macroscopic quantities. A strong version of the latter property
is that changing boundary conditions cannot have a singular (in the
measure theoretic sense) effect on the model away from the boundary,
even asymptotically. I will present a proof of this result for the dimer
model as an illustration of new techniques in the study of the dimer
model involving a reformulation of the problem in terms of uniform
spanning tree. Joint work with Antoine Bannier.