Recurrence rate in rapidly mixing dynamical systems
Saussol, Benoit
HAL, hal-00003516 / Harvested from HAL
Text on HAL
For measure preserving dynamical systems on metric spaces we study the time needed by a typical orbit to return back close to its starting point. We prove that when the decay of correlation is super-polynomial the recurrence rates and the pointwise dimensions are equal. This gives a broad class of systems for which the recurrence rate equals the Hausdorff dimension of the invariant measure.
Publié le : 2004-12-10
Classification:  decay of correlation,  Hausdorff dimension,  mixing,  decay of correlation.,  Poincare recurrence,  37B20, 37C45, 37A25,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00003516,
     author = {Saussol, Benoit},
     title = {Recurrence rate in rapidly mixing dynamical systems},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003516}
}

Saussol, Benoit. Recurrence rate in rapidly mixing dynamical systems. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003516/