Cutting Brownian Paths (Memoirs of the American Mathematical Society)

Cutting Brownian Paths (Memoirs of the American Mathematical Society)

Paperback

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Description

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

Contents

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.

Product Details

  • ISBN13: 9780821809686
  • Format: Paperback
  • ID: 9780821809686
  • ISBN10: 0821809687

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