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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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Multivariate CLT with varying dimension size
Actually for some weaker metrics (like the multivariate Kolmogorov metric for instance) the central limit convergence takes place in much larger dimension than the one provided by Bentkus. Typically t …