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Oct 21, 2010 at 14:11 comment added Louigi Addario-Berry For Lévy's theorem you only need it to be a local martingale.
Oct 21, 2010 at 10:52 comment added The Bridge you are right, my mistake, the constancy of expactation of $W_t$ is not enough it should hold for all finite stopping time to hold which I cannot prove.
Oct 21, 2010 at 7:55 comment added George Lowther Why does it have to be a martingale?
Oct 21, 2010 at 7:32 history answered The Bridge CC BY-SA 2.5