Recurrence, dimensions and Lyapunov exponents
classification
🧮 math.DS
math-phmath.MP
keywords
lyapunovreturncylinderdimensiondimensionaldimensionsexponentexponents
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We show that the Poincar\'e return time of a typical cylinder is at least its length. For one dimensional maps we express the Lyapunov exponent and dimension via return times.
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