Local rates of Poincare recurrence for rotations and weak mixing

Details Local rates of Poincare recurrence for rotations and weak mixing Local rates of Poincare recurrence for rotations and weak mixing

2003-12-17

arxiv.org/abs/math/0312328v1

Mathematics

Dynamical Systems

To appear in Discrete and Continuous Dynam. Syst. (Series A)

Scientific paper

We study the lower and upper local rates of Poincare recurrence of rotations
on the circle by means of symbolic dynamics. As a consequence, we show that if
the lower rate of Poincare recurrence of an ergodic dynamical system (X,F,mu,T)
is greater or equal to 1 mu-almost everywhere, then it is weakly mixing.

Affiliated with

Also associated with

No associations

Rating

Local rates of Poincare recurrence for rotations and weak mixing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local rates of Poincare recurrence for rotations and weak mixing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local rates of Poincare recurrence for rotations and weak mixing will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-592533