Abstract: In this talk, we prove that the random-cluster model on the square lattice with cluster-weight exhibits rotational invariance at…
Abstract: In 1975, Imry and Ma argued that in the presence of a random field, the two-dimensional Ising model does…
Abstract: In the beginning of the XXth century, Ornstein and Zernike predicted the sharp behaviour of the two-point function in…
Abstract: This talk will focus on the behaviour of statistical physics models on a book with pages isomorphic to half-planes.…
Abstract: In the usual Bernoulli site percolation on the lattice, each site is independently removed with probability .For the Bernoulli…
Abstract: The spin model is an important statistical mechanics model whose spins are vectors taking value in a dimensional sphere.…
Abstract: This talk will be studying the critical regime of the planar random-cluster model on with cluster-weight . More precisely,…
Abstract: The uniform measure on the set of all spanning trees of a finite graph is a classical object in…
Abstract: We study the trace of the incipient infinite oriented branching random walk in when the dimension is . Under…
Abstract: I will prove that the Ising model on any nonamenable Cayley graph undergoes a continuous phase transition. I will…