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math-ph2014★ 2 cited
Semi-classical analysis of non self-adjoint transfer matrices in statistical mechanics. I
Margherita Disertori, Sasha Sodin
We propose a way to study one-dimensional statistical mechanics models with complex-valued action using transfer operators. The argument consists of two steps. First, the contour o…
math.PR2014
Transience of Edge-Reinforced Random Walk
Margherita Disertori, Christophe Sabot, Pierre Tarrès
We show transience of the edge-reinforced random walk (ERRW) for small reinforcement in dimension d greater than 2. This proves the existence of a phase transition between recurren…