Pesin's dimension for Poincare recurrences.
A new characteristic of Poincare recurrences is introduced. It describes an average return time in the framework of a general construction for dimension-like characteristics. Some examples are considered including rotations on the circle and the Denjoy example. (c) 1997 American Institute of Physics.
Afraimovich
V.
V
School of Mathematics, Northwestern University, Evanston, Illinois 60208.