Self-avoiding walks and sampling in statistical physics models
- Probability Working Seminar
- Friday, October 15, 2010 - 15:05 for 1 hour (actually 50 minutes)
- Skiles 249
- Ricardo Restrepo – School of Math, Georgia Tech
We will discuss the role that self-avoiding walks play in sampling 'physical' models on graphs, allowing to translate the complicated calculation of the marginals to a tree recurrence which, under the appropriate conditions (e.g. some form of 'spatial mixing'), reduces to a polynomial recurrence. This talk is mainly based on Dror Weitz' article "Counting independent sets up to the tree threshold".