7 papers
Subcritical sharpness for real-valued spin models
Christoforos Panagiotis, William Veitch
In this paper, we consider a large family of real-valued spin models on general transitive graphs. We show that, in the subcritical regime , the correlations of the model…
Regularity of Gibbs measures for unbounded spin systems on general graphs
Christoforos Panagiotis, William Veitch
We consider a general class of spin systems with potentially unbounded real-valued spins, defined via a single-site potential with super-Gaussian tails on general graphs, allowing…
Uniqueness of the infinite cluster for monotone percolation models without insertion tolerance
Christoforos Panagiotis, Alexandre Stauffer
We consider a broad class of dependent site-percolation models on obtained by applying a monotone automaton to a random initial particle configuration drawn from a s…
Percolation on graphs of polynomial growth is local: analyticity, supercritical sharpness, isoperimetry
Sébastien Martineau, Christoforos Panagiotis
We investigate locality of the supercritical regime for Bernoulli percolation on transitive graphs with polynomial growth, by which we mean the following. Take a transitive graph o…
The supercritical phase of the model is well behaved
Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1
In this article, we analyse the model on in the supercritical regime . We consider a random cluster representation of the model, which corresp…
Random tangled currents for : translation invariant Gibbs measures and continuity of the phase transition
Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1
We prove that the set of automorphism invariant Gibbs measures for the model on graphs of polynomial growth has at most two extremal measures at all values of . We also…