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math.DSMar 28, 2003
22
citations (OpenAlex)
authors
  • Benoit Saussol
  • Jun Wu
institutions
  • Centre National de la Recherche Scientifique
  • Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
  • Université de Picardie Jules Verne
  • Wuhan University
arXiv abstractPDF
paper

Recurrence spectrum in smooth dynamical systems

arXiv:math/0303363 · doi:10.1088/0951-7715/16/6/306

Abstract

We prove that for conformal expanding maps the return time does have constant multifractal spectrum. This is the counterpart of the result by Feng and Wu in the symbolic setting.

Cited by in corpus (3)

  • Multiplex Recurrence Networks
  • Generalized dimensions, large deviations and the distribution of rare events
  • Large deviation for return times
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