The probability that Brownian motion almost covers a line

Details The probability that Brownian motion almost covers a line The probability that Brownian motion almost covers a line

1997-01-23

arxiv.org/abs/math/9701228v1

Mathematics

Probability

Scientific paper

Lower and upper estimates are given for the probability that the
epsilon-enlargement of planar Brownian motion to time 1 (the epsilon sausage)
contains a unit line segment. The estimates imply that Brownian motion to time
1 itself contains no line segment.

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