May 27 – 30, 2024
Institut de Mathématiques de Toulouse
Europe/Paris timezone

Geometric correlation inequalities for spin systems

May 27, 2024, 4:15 PM
55m
Amphithéatre Schwartz (Institut de Mathématiques de Toulouse)

Amphithéatre Schwartz

Institut de Mathématiques de Toulouse

Université Paul Sabatier 118, route de Narbonne - Bat. 1R3 31062 Toulouse Cedex 9

Speaker

Daniel Ueltschi (University of Warwick)

Description

I will review correlation inequalities for the two-point function of classical and quantum spin systems. These inequalities are “geometric” when they involve lattice sites. I will review the Simon-Lieb-Rivasseau, Messager-Miracle-Sole, and Lees-Taggi inequalities. I will point out that the Messager-Miracle-Sole inequalities can be extended to the spin-1/2 quantum XY model.

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