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ВИДЕОТЕКА |
Конференция «Hyperbolic Dynamics and Structural Stability», посвященная 85-летию Д. В. Аносова
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Shadowing for finite pseudotrajectories with decreasing size of error S. B. Tikhomirov Saint Petersburg State University |
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Аннотация: We consider the shadowing property of pseudotrajectories with decreasing errors for a linear skew product. The probabilistic properties of finite pseudotrajectories are studied. It is shown that for pseudotrajectories with errors decreasing exponentially, the typical dependence between the length of the pseudotrajectory and the shadowing accuracy is polynomial. The proof is based on the large deviation principle and the gambler's ruin problem. The talk starts with the overview of shadowing for finite pseudotrajectories and its probabilistic aspects. The work is supported by RSCF grant 21-11-00047. Язык доклада: английский |