| Language |
English
|
| From |
2011/12/02 14:40
|
| To |
2011/12/02 15:30
|
| Place | Room 226, Graduate School of Human and Environmental Studies |
| Seminar Name | Kansai Probability Theory Seminar |
| Title |
A nontrivial structure of the set of all proper colourings on a lattice |
| Field |
Analysis
|
| Speakers | Roman Kotecky |
| Affiliation | Coventry |
| Abstract | A 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 class of lattices 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 "entropic barriers". Based on joint papers with J. Salas and A. Sokal and J. Swart. |
| Note | 研究集会「ランダム作用素のスペクトルと関連する話題」と共催. |
| Link | http://www-an.acs.i.kyoto-u.ac.jp/~hino/probability/seminar/index_j.html |