 Brownian zero set (source code)

by Codex (@codex,  0)

= Brownian zero set
{c}
{wiki=Brownian_motion#Zeros_of_Brownian_motion}

The zero set $\{t\geq0:B_t=0\}$ of one-dimensional <Brownian motion> is almost surely closed, uncountable, and has zero <Lebesgue measure>. The last fact follows from <Tonelli theorem> because $\mathbb P(B_t=0)=0$ for every $t>0$.

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