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Results tagged with brownian-motion
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user 132216
2
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Continuity of translation operator in fractional white noise analysis
Fix $H\in(\frac{1}{2},1)$, and let $\Omega:=C_0([0,T],\mathbb R^d)$ be the space of $\mathbb R^d$-valued continuous functions. There is a probability measure $P^H$ on $(\Omega,\mathcal B(\Omega))$, s …
- 515
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Reference request (Brownian local time): for fixed $t$, $a\mapsto L_a(t)$ is a.s. continuous...
So the title is quite self explanatory.
In the book "Continuous Martingales and Brownian Motion" by Rebuz and Yor, in the proof of Proposition $(2.1)$ of chapter XIII it's stated that:
For fixed $t$ …
- 515