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- W2763494123 abstract "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 asymptotic behavior of the inclusio length. Diophantine dimension is connected with recurrent and ergodic properties of an almost periodic function. We get some estimates of the Diophantine dimension for certain quasiperiodic functions and present methods to investigate such a characteristic for almost periodic trajectories of evolution equations. Also we discuss the link between the presented approach and the so called effective versions of the Kronecker theorem." @default.
- W2763494123 created "2017-10-20" @default.
- W2763494123 creator A5028154855 @default.
- W2763494123 date "2017-10-09" @default.
- W2763494123 modified "2023-09-27" @default.
- W2763494123 title "Dimension Theory Approach to the Complexity of Almost Periodic Trajectories" @default.
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