Mathematics – Probability
Scientific paper
2009-07-09
Mathematics
Probability
Scientific paper
Let $ \{W(t), t\ge 0\}$ be a standard Brownian motion. If $I$ is a bounded
interval on which $W $ has no zero, an almost sure lower bound to
$\inf\{|W(t)|, t\in I\}$ can be provided, when $I$ is taken from a given
countable family of intervals covering the positive half-line.
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