We investigate quantitative recurrence in systems having an infinite invariant measure. We extend the Ornstein–Weiss theorem for a general class of infinite systems estimating return time in decreasing sequences of cylinders. Then we restrict to a class of one-dimensional maps with indifferent fixed points and calculate quantitative recurrence in sequences of balls, obtaining that this is related to the behaviour of the map near the fixed points.
|Autori:||GALATOLO S; KIM DONG HAN; PARK KYEWON|
|Titolo:||The recurrence time for ergodic systems with infinite invariant measures|
|Anno del prodotto:||2006|
|Appare nelle tipologie:||1.1 Articolo in rivista|