書誌事項

Cutting Brownian paths

Richard F. Bass, Krzysztof Burdzy

(Memoirs of the American Mathematical Society, no. 657)

American Mathematical Society, 1999

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注記

"January 1999, volume 137, number 657 (end of volume)"--T.p

Includes bibliographical references (p. 93-95)

内容説明・目次

内容説明

A long open problem in probability theory has been the following: Can the graph of planar Brownian motion be split by a straight line? Let $Z_t$ be two-dimensional Brownian motion. Say that a straight line $\mathcal L$ is a cut line if there exists a time $t \in (0,1)$ such that the trace of $\{Z_s: 0\leq s

目次

Introduction Preliminaries Decomposition of Bessel processes Random walk estimates Estimates for approximate points of increase Two and three angle estimates The main estimate Estimates for wedges Filling in the gaps Further results and problems References.

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