Ho il piacere di annunciare il seminario di Rongfeng Sun (National University of Singapore):

"A new correlation inequality for Ising models with external fields"

che si terrà venerdì 9 settembre 2022 alle ore 14:00 in aula U5-3014 (Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca). Trovate l'abstract di seguito.

Tutti gli interessati sono invitati a partecipare.

Francesco Caravenna

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Abstract. We study ferromagnetic Ising models on finite graphs with an inhomogeneous external field. We show that the influence of boundary conditions on any given spin is maximised when the external field is identically 0. One corollary is that spin-spin correlation is maximised when the external field vanishes. In particular, the random field Ising model on Z^d, d ≥ 3, exhibits exponential decay of correlations in the entire high temperature regime of the pure Ising model. Another corollary is that the pure Ising model on Z^d, d ≥ 3, satisfies the conjectured strong spatial mixing property in the entire high temperature regime. Based on joint work with Jian Ding and Jian Song.

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Francesco Caravenna

Dipartimento di Matematica e Applicazioni Università degli Studi di Milano-Bicocca Via Cozzi 55, 20125 Milano, Italy

http://www.matapp.unimib.it/~fcaraven/ _________________________________________