Cutting Brownian Paths

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· American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-657 · American Mathematical Soc.
I-Ebook
95
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Izilinganiso nezibuyekezo aziqinisekisiwe  Funda Kabanzi

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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

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