Dylan Zhu
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 Mar 12 accepted How to prove the limsup equals liminf for a monotone class. Oct 8 accepted The definition of Borel sigma algebra Aug 26 accepted Independence of stochastic process $(dB_1t)(dB_2t)$=0? Sep 24 awarded Autobiographer Jul 2 awarded Curious May 10 comment Independence of stochastic process $(dB_1t)(dB_2t)$=0? Many thanks @saz . the condition you gave for the martingale is certainly right, but in my exam (stochastic for finance) my tutor only ask me to show $\Bbb E[X(t)]=X(0)$, it is a necessary condition for sure, but i doubt it is not sufficient to prove $X(t)$ is martingale, is it? May 9 revised Independence of stochastic process $(dB_1t)(dB_2t)$=0? added 544 characters in body May 9 revised Independence of stochastic process $(dB_1t)(dB_2t)$=0? edited title May 8 revised Independence of stochastic process $(dB_1t)(dB_2t)$=0? edited title May 8 comment Independence of stochastic process $(dB_1t)(dB_2t)$=0? OK, I see there is a definition in this question: math.stackexchange.com/questions/22360/… May 8 asked Independence of stochastic process $(dB_1t)(dB_2t)$=0? May 8 awarded Citizen Patrol May 7 comment Is this a Brownian motion yes, thanks. and can we calculate $\int_0^t B(s)ds$? and its expectation? May 7 asked Is this a Brownian motion May 6 asked Expectation of this stochastic process May 6 comment What is this Space called? thanks, Im just wondering, because when my tutor told me he didnt say what this space called, and it reminds me L^p space p=2 its quite similar. May 6 comment What is this Space called? @NateEldredge Yes May 6 asked What is this Space called? Mar 18 revised What is the meaning of Common Support here added 45 characters in body Mar 18 asked What is the meaning of Common Support here