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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

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Uniform distribution modulo 1 and probability [closed]

Define counting function $A(E; N; \omega)$ as the number of terms $x_n, 1\leq n\leq N$, for which $\{x_n\}\in E$. Then the sequence $\omega=(x_n), n=1,2,...,$ of real numbers is said to be uniformly d …
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