- 98-547 V. Penne, Saussol B., Vaienti S.
- Dimensions for recurrence times : topological and dynamical properties.
(61K, LATeX 2e)
Aug 2, 98
(auto. generated ps),
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Abstract. In this paper we give new properties of the dimension introduced by
to characterize Poincar\'e recurrence and that we proposed to call
(AP's) dimension. We will show in particular that the
AP's dimension is a topological invariant and that it often coincides
asymptotic distribution of periodic points~: deviations from this
behavior could suggest that the AP's dimension is sensible to some