5 papers
Imry-Ma phenomenon for the hard-core model on
Irene Ayuso Ventura, Leandro Chiarini, Tyler Helmuth +1
The \emph{Imry-Ma phenomenon} refers to the dramatic effect that disorder can have on first-order phase transitions for two-dimensional spin systems. The most famous example is the…
Wasserstein distance in terms of the comonotonicity Copula
Mariem Abdellatif, Peter Kuching, Barbara Rüdiger +1
The aim of this article is to write the -Wasserstein metric with the -norm, , on in terms of copula. In particular for the case of one-dimension…
Non-linear conductances of Galton-Watson trees and application to the (near) critical random cluster model
Irene Ayuso Ventura, Quentin Berger
In this article, we study concave recursions on trees, which appear widely in information theory through algorithms such as belief propagation, and in statistical mechanics through…
Ising model on a Galton-Watson tree with a sparse random external field
Irene Ayuso Ventura, Quentin Berger
We consider the Ising model on a supercritical Galton-Watson tree of depth with a sparse random external field, given by a collection of i.i.d. Bernouilli random…
Wasserstein distance in terms of the Comonotonicity Copula
Mariem Abdellatif, Peter Kuchling, Barbara Rüdiger +1
In this article, we represent the Wasserstein metric of order , where , in terms of the comonotonicity copula, for the case of probability measures on , b…