UMR 5582 - Laboratoire de mathématiques
Published on UMR 5582 - Laboratoire de mathématiques (https://www-fourier.univ-grenoble-alpes.fr)

Accueil > Lucas D'Alimonte

Lucas D'Alimonte [1]

Ornstein--Zernike theory for the 2D near-critical random cluster model
Tuesday, 2 July, 2024 - 14:00 to 15:00
Résumé : 

In this talk, we will discuss the classical Ornstein--Zernike theory for the random-cluster models (also known as FK percolation). In its modern form, it is a very robust theory, which most celebrated output is the computation of the asymptotically polynomial corrections to the pure exponential decay of the two-points correlation function of the random-cluster model in the subcritical regime. We will present an ongoing project that extends this theory to the near-critical regime of the two-dimensional random-cluster model, thus providing a precise understanding of the Ornstein—Zernike asymptotics when p approaches the critical parameter p_c. The output of this work is a formula encompassing both the critical behaviour of the system when looked at a scale negligible with respect to its correlation length, and its subcritical behaviour when looked at a scale way larger than its correlation length. Based on a joint work with Ioan Manolescu.

Institution de l'oratrice / orateur: 
Université de Fribourg
Thème de recherche : 
Probabilités
Salle : 
salle 01 tour IRMA

Source URL: https://www-fourier.univ-grenoble-alpes.fr/?q=en/node/27592

Links
[1] https://www-fourier.univ-grenoble-alpes.fr/?q=en/node/27592