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accepted Looser Conditions on Casorati-Weierstrass
Dec
31
comment Applications of Operator Algebras to modern physics
Quantum Information Theory and Statistical Mechanics. Check out the Vanderbilt math department's website (Center for Operator Algebras and Noncommutative Geometry)
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comment Mathematical places to visit
Princeton university
Dec
31
comment Why don't we define the class of $C^{\infty}$ in this way?
Can those who down-vote questions please specify why they down-voted them. As obvious as it may be to you, it may or may not be apparent to the user, and he/she can make more sense out of these down-votes.
Dec
16
comment Expectation of function of random variable?
Just for trivia, the rule you would use is called the "law of unconscious statistician", as you don't actually know the distribution of $g$.
Dec
15
comment Martingales huh?
yes. that's an important point that I forgot to state in my proof. Of course, $Y_n+1$ and $A$ are independent, because $A$ is in the sigma algebra that is not generated by $Y_n+1$.
Dec
14
comment Martingales huh?
@Didier Does my answer below make sense?
Dec
14
revised Martingales huh?
awkward language