98-547 V. Penne, Saussol B., Vaienti S.

Dimensions for recurrence times : topological and dynamical properties. (61K, LATeX 2e) Aug 2, 98

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. In this paper we give new properties of the dimension introduced by Afraimovich to characterize Poincar\'e recurrence and that we proposed to call Afraimovich-Pesin's (AP's) dimension. We will show in particular that the AP's dimension is a topological invariant and that it often coincides with the asymptotic distribution of periodic points~: deviations from this behavior could suggest that the AP's dimension is sensible to some ``non-generic'' points.

Files: 98-547.tex