- Series
- Stochastics Seminar
- Time
- Thursday, September 15, 2011 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Shannon L. Starr – University of Rochester – sstarr@math.rochester.edu – http://www.math.rochester.edu/people/faculty/sstarr/
- Organizer
- Karim Lounici
The Potts antiferromagnet on a random graph is a model
problem from disordered systems, statistical mechanics with random
Hamiltonians. Bayati, Gamarnik and Tetali showed that the free energy
exists in the thermodynamic limit, and demonstrated the applicability
of an interpolation method similar to one used by Guerra and
Toninelli, and Franz and Leone for spin glasses. With Contucci,
Dommers and Giardina, we applied interpolation to find one-sided
bounds for the free energy using the physicists' ``replica symmetric
ansatz.'' We also showed that for sufficiently high temperatures, this
ansatz is correct. I will describe these results and some open
questions which may also be susceptible to the interpolation method.