Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mccme.ru/lifr/greb/talks/Belieav.txt Дата изменения: Sun Oct 2 15:21:47 2011 Дата индексирования: Mon Feb 4 07:23:02 2013 Кодировка: Поисковые слова: vallis

Abstract:

Simmons and Cardy recently predicted a formula for the
probability that the chordal SLE$_{8/3}$ path passes to the left of
two points in the upper half-plane. We discuss a rigorous proof of
their formula. Starting from this result, we derive explicit
expressions for several natural connectivity functions for SLE$_{8/3}$
bubbles and, equivalently, Brownian bubbles, conditioned to be of
macroscopic size. By passing to a limit with such a bubble we
construct a certain (chordal) restriction measure and in this way
obtain a proof of a formula for the probability that two given points
are between two commuting SLE$_{8/3}$ paths. The one-point version of
this result has been predicted by Gamsa and Cardy.