Glauber Dynamics for the 2D Ising Model at Low Temperature
Consider the standard Ising model on a finite n x n grid at low temperature. If the boundary spins are held fixed equal to +1 it is believed that the mixing time of the corresponding Glauber dynamics (Gibbs sampler) is poly(n). Although such a result is still far from being proved, recently there has been some exciting progress using the censoring inequality by Peres and P. Winkler together with inductive schemes. The final outcome is a
quasi-poly(n) bound valid for all temperatures below the critical one.
Based on joint work with F.L.Toninelli, and F.L.Toninelli, E. Lubetzky and A. Sly.
Speaker Details
Fabio Martinelli obtained his PhD in Physics in 1979, and is currently a Professor of Mathematics at the University of Roma 3.
He is a recipient of a Marie-Curie Fellowship and was a visiting Miller Professor at UC Berkeley. He has also held visiting positions in UCLA and in Paris. Professor Martinelli is well known as the leading authority on the dynamics of the Ising model and related processes; his articles and surveys are the key references in the subject.
- Date:
- Speakers:
- Fabio Martinelli
- Affiliation:
- University of Roma 3
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Jeff Running
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