9 июля 2009 г. (четверг), 16:00, к. 307.
Докладчик: А. Ямбарцев
Модель Изинга на Лоренцовых триангуляциях.
Abstract
Ising model without external field on an infinite Lorentzian triangulation sampled from the uniform distribution is considered. We prove uniqueness of the Gibbs measure in the high temperature region and coexistence of at least two Gibbs measures at low temperature. Theproofs are based on the disagreement percolation method and on a variant of Peierls method. The critical temperature is shown to beconstant a.s.
| 08.07.2009 | Петров Леонид Александрович |