Recurrence, dimensions, and Lyapunov exponents

  • Saussol B
  • Troubetzkoy S
  • Vaienti S
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Abstract

We show that the Poincaré 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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  • Return time

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Authors

  • B. Saussol

  • S. Troubetzkoy

  • S. Vaienti

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