53 citations · 489 across the 66 of their papers we have counts for
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The -invariant Ising model via dimers
Cédric Boutillier, Béatrice de Tilière, Kilian Raschel
The -invariant Ising model (Baxter in Philos Trans R Soc Lond A Math Phys Eng Sci 289(1359):315--346, 1978) is defined on an isoradial graph and has coupling constants depending…
Weighted Lattice Walks and Universality Classes
Julien Courtiel, Stephen Melczer, Marni Mishna +1
In this work we consider two different aspects of weighted walks in cones. To begin we examine a particular weighted model, known as the Gouyou-Beauchamps model. Using the theory o…
Analytic approach for reflected Brownian motion in the quadrant
Sandro Franceschi, Irina Kourkova, Kilian Raschel
Random walks in the quarter plane are an important object both of combinatorics and probability theory. Of particular interest for their study, there is an analytic approach initia…
Tutte's invariant approach for Brownian motion reflected in the quadrant
Sandro Franceschi, Kilian Raschel
We consider a Brownian motion with drift in the quarter plane with orthogonal reflection on the axes. The Laplace transform of its stationary distribution satisfies a functional eq…