COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Probability > Critical temperature of the square lattice Potts model

## Critical temperature of the square lattice Potts modelAdd to your list(s) Download to your calendar using vCal - Hugo Dominil-Copin (Geneva)
- Tuesday 15 March 2011, 16:30-17:30
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Berestycki. In this talk, we derive the critical temperature of the q-state Potts model on the square lattice (q \geq 2). More precisely, we consider a geometric representation of the Potts model, called the random-cluster model. Spin correlations of the Potts model get rephrased as connectivity properties of the random-cluster model. The critical temperature of the Potts model is therefore related to the critical point of the random-cluster model. For the later, a duality relation allows us to compute the critical value using a crossing estimate (similar to the celebrated Russo-Seymour-Welsh theory for percolation) and a sharp threshold theorem. This result has many applications in the eld and we will briefly mention some of them at the end of the talk. Joint work with V. Beara. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS info aggregator
- DPMMS lists
- Interested Talks
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
- Probability
- School of Physical Sciences
- Statistical Laboratory info aggregator
- bld31
Note that ex-directory lists are not shown. |
## Other listsims-mrl external research seminar BMCS Postgraduate Symposium for Biological and Medicinal Chemists OCaml Labs Events## Other talksEthics for the working mathematician, seminar 8: Standing on the shoulders of giants. Development of machine learning based approaches for identifying new drug targets CGHR Practitioner Series: Andrea Coomber, JUSTICE What we donâ€™t know about the Universe from the very small to the very big : ONE DAY MEETING Determining structures in situ using cryo-electron tomography:enveloped viruses and coated vesicles |