Browsing by Author "Lis, Marcin"
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Non-Backtracking Loop Soups and Statistical Mechanics on Spin Networks
Camia, Federico; Lis, Marcin (SpringerAnnales Henri Poincaré, 2016-10-20)We introduce and study a Markov field on the edges of a graph $\mathcal{G}$ in dimension $\textit{d}$ ≥ 2 whose configurations are spin networks. The field arises naturally as the edge-occupation field of a Poissonian model ...
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The Planar Ising Model and Total Positivity
Lis, Marcin (SpringerJournal of Statistical Physics, 2017-01-01)A matrix is called totally positive (resp. totally nonnegative) if all its minors are positive (resp. nonnegative). Consider the Ising model with free boundary conditions and no external field on a planar graph G. Let ...