Асимптотика вероятности больших уклонений для времени выхода из области типа мультиполосы с расширением

По совместной работе с М. А. Лифшицем.
We consider the tail probabilities for Brownian exit time from a class of perturbed multi-strips. Under some assumptions we prove that the long stays in a perturbed multi-strip are more likely than those in a strip of the same width. This effect is related to the existence of the trapped modes in waveguides.