30 mai 2022 à 3 juin 2022
IHES
Fuseau horaire Europe/Paris

Metric Graph Extensions of Lattice Models with Applications in Stat Mech and Quantum Systems

2 juin 2022, 12:00
1h
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

Prof. Michael AIZENMAN (Princeton University)

Description

As a counterpoint to "be wise and discretize’’, continuous extensions are relevant and provide useful perspective. They occasionally pose challenges but also yield new tools. Examples of both may be found in: the contact process as extension of discrete percolation, long-range 1D Ising and percolation models, the quantum Ising model, quantum spin chains, influence propagation in the random-field Ising model estimated through a stopping time argument, extensions of discrete random height functions, and new results for the Villain O(2) spin system though its metric graph representation.

Documents de présentation