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math-ph2020
Long-range order for critical Book-Ising and Book-percolation
Hugo Duminil-Copin, Christophe Garban, Vincent Tassion
In this paper, we investigate the behaviour of statistical physics models on a book with pages that are isomorphic to half-planes. We show that even for models undergoing a continu…
math-ph2018★ 22 cited
Emergent Planarity in two-dimensional Ising Models with finite-range Interactions
Michael Aizenman, Hugo Duminil-Copin, Vincent Tassion +1
The known Pfaffian structure of the boundary spin correlations, and more generally order-disorder correlation functions, is given a new explanation through simple topological consi…