These lecture notes provide an (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present the
theory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included.
Язык оригиналаанглийский
Название основной публикацииProbability and statistical physics in two and more dimensions
Подзаголовок основной публикацииProceedings of the Clay Mathematics Institute Summer School and XIV Brazilian School of Probability Búzios, Brazil July 11–August 7, 2010
ИздательAmerican Mathematical Society
Страницы213-276
ISBN (печатное издание)9780821868638
СостояниеОпубликовано - 2012
СобытиеClay Mathematics Institute Summer School and XIV Brazilian School of Probability - Búzios, Бразилия
Продолжительность: 11 июл 20107 авг 2010

Серия публикаций

НазваниеClay Math. Proc.
ИздательAmer. Math. Soc., Providence, RI
Том15

конференция

конференцияClay Mathematics Institute Summer School and XIV Brazilian School of Probability
Страна/TерриторияБразилия
ГородBúzios
Период11/07/107/08/10

ID: 13405400