Hello everybody! Recently I start a reading of a survey by Benoit Saussol,
 AN INTRODUCTION TO QUANTITATIVE POINCARE RECURRENCE IN DYNAMICAL SYSTEMS, I am interested in references (Papers) Basics Poincare Recurrence. I know that this survey is already basic, but wanted to know more references of this kind and I would also references to where I can find open problems in this matter. I would also references to applications of this theory in other fields in mathematics.



Poincaré recurrence; Time Return
Joseph's answer is the first place I would (and did) look for information on this topic. However there are a couple of recent ancillary references along these lines that may be helpful. For instance, see 


M. S. Baptista et al., "Kolmogorov–Sinai entropy from recurrence times". Phys. Lett. A 374, 1135 (2010)


the obvious cite 


L. Barreira and B. Saussol, "Product structure of Poincar\'e recurrence". Ergodic Th. Dyn. Sys. 22, 33 (2002)


and finally


G. Robinson and M. Thiel, "Recurrences determine the dynamics". Chaos 19, 023104 (2009).


