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Aug 1, 2010 at 11:26 comment added The Bridge That's right, sorry for that.
Aug 1, 2010 at 5:22 comment added kenneth Hi, Bridge, $B_\tau = B(\tau, \omega)$, and I guess your expression is true only if $\tau$ is not correlated to $\omega$, i.e. $P^{x}(d \tau \otimes d \omega) = P^{x}(d \tau) P^{x}(d \omega)$.
Aug 1, 2010 at 2:36 comment added kenneth Hi, Bridge, Thank you very much for your suggestions. One confuse thing is that, the cdf of $\tau$ depends on starting point $x$, i.e. $\tau$ has different distribution under $P^x$.
Aug 1, 2010 at 0:35 history answered The Bridge CC BY-SA 2.5