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Colloquium: Critical Parameters of Lattice Models
Start Date: 2/14/2014Start Time: 3:00 PM
End Date: 2/14/2014End Time: 4:00 PM

Event Description
Zhongyang Li, University of Cambridge


Abstract: A lattice model is a probability measure on configurations of a graph parameterized by a continuous variable. The critical parameter is the parameter where the phase transition occurs, i.e., when the macroscopic properties of a lattice model change sharply with respect to the parameter. I will talk about three different lattice models including percolation, Ising model and self-avoiding walk, as well as recent progress on identifying the exact values of their critical parameters or bounding their critical parameters. Part of the talk is based on joint work with Geoffrey Grimmett.
Korman Center, Room 245, 15 S. 33rd Street, Philadelphia, PA 19104
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