MULTIFRACTAL ANALYSIS OF THE RECURRENCE ON A SYMBOLIC SPACE

Authors
FAN AH FENG DJ
Citation
Ah. Fan et Dj. Feng, MULTIFRACTAL ANALYSIS OF THE RECURRENCE ON A SYMBOLIC SPACE, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(7), 1998, pp. 629-632
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
327
Issue
7
Year of publication
1998
Pages
629 - 632
Database
ISI
SICI code
0764-4442(1998)327:7<629:MAOTRO>2.0.ZU;2-T
Abstract
Let (X,T) be a dynamical system. The recurrence of a point x I-elated to a function Phi : X --> R-d is described by the limit of ergodic mea ns n(-1) Sigma(j=0)(n-1) Phi(T(j)x). We are interested in estimating t he size of the set of points with a prescribed recurrence. The dimensi ons of such sets are computed in the case of symbolic spaces. (C) Acad emie des Sciences/Elsevier, Paris.