Statistics Seminars: A nontrivial structure of the set of all proper colourings on a lattice
30 March 2010 14:15 in CM221A possibility of a non-trivial structure arising in the uniform distribution on the set of all proper colourings of a regular lattice has been an intriguing conjecture for quite a long time. Recently it was shown that this is the case for 3-colourings on a particular lattice (diced lattice). The main idea is based upon an evaluation of the probability of events with distinct coexisting patterns linked with a necessity of passing over appropriately defined barriers.
Based on a joint paper with J. Salas and A. Sokal.
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