Cutting Brownain Paths (Memoirs of the American Mathematical Society)
by Richard F. Bass and Krzysztof Burdzy
Sales Rank: 6324436
List Price: $42.00 $42.00At Amazon on 12-5-2008
Paperback: 95 pages
Publisher: American Mathematical Society January 1999
Language: English
ISBN-10: 0821809687
ISBN-13: 978-0821809686
Product Dimensions:
9.8 x 6.8 x 0.3 inches
Shipping Weight: 7 ounces
Product 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 $\{ Z_s: 0 \leq s \lt t\}$ lies on one side of $\mathcal L$ and the trace of $\{Z_s: t \lt s \lt 1\}$ lies on the other side of $\mathcal L$. In this volume, the authors provide a solution, discuss related works, and present a number of open problems.
Cutting Brownain Paths (Memoirs of the American Mathematical Society)
Available from Amazon Price: $42.00 Updated on 12-5-2008
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