Multifractal properties of return time statistics.
The global statistics of the return times of a dynamical system can be described by a new spectrum of generalized dimensions. Comparison with the usual multifractal analysis of measures is presented, and the difference between the two corresponding sets of dimensions is established. Theoretical analysis and numerical examples of dynamical systems in the class of iterated functions are presented.
Hadyn
Nicolai
N
Department of Mathematics, University of Southern California, Los Angeles, California 90089, USA.
Luevano
José
J
Mantica
Giorgio
G
Vaienti
Sandro
S