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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.

9 votes

Average distance between numbers of the form $2^{a}3^{b}$

More generally, if you fix a set of primes $p_1, \ldots, p_r$, and let $n_1=1 < n_2 < \cdots$ be the set of positive integers composed of primes in this set, then one has (effectively) $$ n_{i+1}-n_i …
Mike Bennett's user avatar