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math.DS2017★ 5 cited
Dimension Theory Approach to the Complexity of Almost Periodic Trajectories
Mikhail Anikushin
We introduce and study a dimensional-like characteristic of an uniformly almost periodic function, which we call the Diophantine dimension. By definition, it is the exponent in the…
math.DS2017★ 3 cited
Badly Approximable Numbers and the Growth Rate of the Inclusion Length of an Almost Periodic Function
Mikhail Anikushin
We study the growth rate of the inclusion length of an almost periodic function. For a given a. p. function such growth rate depends on the algebraic structure of Fourier exponents…