Occurence times of rare events for mixing dynamical systems
A. Galves, B. Schmitt (1990)
Annales de l'I.H.P. Physique théorique
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A. Galves, B. Schmitt (1990)
Annales de l'I.H.P. Physique théorique
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P. Collet, P. Ferrero (1990)
Annales de l'I.H.P. Physique théorique
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Vítor Araújo (2000)
Annales de l'I.H.P. Analyse non linéaire
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Franz Hofbauer (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We investigate a weighted version of Hausdorff dimension introduced by V. Afraimovich, where the weights are determined by recurrence times. We do this for an ergodic invariant measure with positive entropy of a piecewise monotonic transformation on the interval , giving first a local result and proving then a formula for the dimension of the measure in terms of entropy and characteristic exponent. This is later used to give a relation between the dimension of a closed invariant subset...
P. E. Zhidkov (1995)
Annales de l'I.H.P. Physique théorique
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