FRACTAL AND MULTIFRACTAL PROPERTIES OF EXIT TIMES AND POINCARE RECURRENCES

Systems with chaotic dynamics possess anomalous statistical properties , and their trajectories do not correspond to the Gaussian process. Th is property imposes description of such time characteristics as the di stribution of exit times or Poincare recurrences by introducing a (mul ti-) fractal timescale in order to satisfy the observed powerlike tail s of the distributions. We introduce a corresponding phase-space-time partitioning and spectral function for dimensions, and make a connecti on between dimensions:and transport exponent that defines the anomalou s (''strange'') kinetics.