33 citations · 122 across the 11 of their papers we have counts for
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math-ph2013
Graph theory and Pfaffian representations of Ising partition function
Thierry Gobron
A well known theorem due to Kasteleyn states that the partition function of an Ising model on an arbitrary planar graph can be represented as the Pfaffian of a skew-symmetric matri…
math-ph2009★ 24 cited
Coupling, Attractiveness and Hydrodynamics for Conservative Particle Systems
Thierry Gobron, Ellen Saada
Attractiveness is a fundamental tool to study interacting particle systems and the basic coupling construction is a usual route to prove this property, as for instance in simple ex…
math-ph2006★ 14 cited
First-Order Phase Transition in Potts Models with finite-range interactions
Thierry Gobron, Immacolata Merola
We consider the -state Potts model on , , , with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order…