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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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Uniform law of large numbers for martingale difference

An extension of the uniform Glivenko-Cantelli notion to martingale differences can be found here: www-stat.wharton.upenn.edu/~rakhlin/papers/emp_proc_dep.pdf
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