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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
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Intuition of the "work" done by random variables in Monte Carlo methods (incl. MCL)
(I've tried Math SE, but have so far come up empty handed, so I'm trying my luck here.)
I would like to get a better intuitive understanding of why Monte Carlo works so well in approximating a solutio …
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Find probability of non-stationary inputs into Turing machine?
Consider some finite string $x=(x_1,x_2,...,x_{n-1},x_n)$ that is drawn from a non-stationary process. Would it be possible to use the algorithmic probability formula, defined by Solomonoff as,
$$
P_M …