Multiple returns for some regular and mixing maps

Chaos

Volumn 15, Issue 3, 2005, Pages

  Haydn, N ^a   Lunedei, E ^b   Rossi, L ^b,c,d   Turchetti, G ^b,c   Vaienti, S ^d,e  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c INFN SEZIONE DI BOLOGNA   (Italy)

^d CENTRE DE PHYSIQUE THÉORIQUE   (France)

^e Federation de Recherches des Unites de Mathématique de Marseille   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31144433688     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2005507     Document Type: Article

References (26)

1. H. Hu, A. Rampioni, L. Rossi, G. Turchetti, and S. Vaienti, Chaos 14, 160 (2004).
2. N. Buric, A. Rampioni, G. Turchetti, and S. Vaienti, J. Phys. A 0305-4470 10.1088/0305-4470/36/14/102 36, L209 (2003); N. Buric, A. Rampioni, G. Turchetti, and S. Vaienti, J. Phys. A 36, 7223 (2003).
3. N. Buric, A. Rampioni, G. Turchetti, and S. Vaienti, J. Phys. A 0305-4470 10.1088/0305-4470/36/14/102 36, L209 (2003); N. Buric, A. Rampioni, G. Turchetti, and S. Vaienti, J. Phys. A 36, 7223 (2003).
4. B. Pitskel, Ergod. Theory Dyn. Syst. 11, 501 (1991).
5. M. Hirata, Ergod. Theory Dyn. Syst. 13, 533 (1993).
6. A. Galves and B. Schmitt, Random Comput. Dyn. 5, 337 (1997).
7. M. Hirata, B. Saussol, and S. Vaienti, Commun. Math. Phys. 206, 33 (1999).
8. N. Haydn, Ergod. Theory Dyn. Syst. 20, 1371 (2000).
9. M. Abadi, Math. Phys. Electron. J. 7, 2 (2001).
10. M. Abadi and A. Galves, Markov Processes Relat. Fields 7, 97 (2001).
11. N. Haydn and S. Vaienti, Discrete Contin. Dyn. Syst. 10, 584 (2004).
12. C. Liverani and M. Martens, http://arxiv.org/abs/math/0503022
13. S. Tabachnikov, Billiards, Panoramas et Synth̀se (Society of Math. Paris, France, 1995), Vol. 1.
14. Z. Coelho and E. De Faria, Isr. J. Math. 93, 93 (1996).
15. N. B. Slater, Proc. Cambridge Philos. Soc. 63, 1115 (1967).
16. Z. Coelho, Trans. Am. Math. Soc. 356, 4427 (2004).
17. N. Buric, A. Rampioni, and G. Turchetti, Chaos, Solitons Fractals 23, 1829 (2005).
18. N. Haydn, Y. Lacroix, and S. Vaienti, " Hitting and return times in ergodic dynamical systems., " Ann. Prob., (to be published).
19. G. M. Zaslavsky and M. K. Tippet, Phys. Rev. Lett. 67, 3251 (1991).
20. V. Afraimovich and G. M. Zaslavsky, Phys. Rev. E 55, 5418 (1997).
21. V. Afraimovich and G. M. Zaslavsky, Lect. Notes Phys. 511, 59 (1998).
22. G. M. Zaslavsky and M. Eldeman, Chaos 11, 295 (2001).
23. J. D. Meiss, Rev. Mod. Phys. 64, 795 (1992).
24. J. D. Meiss, Chaos 7, 139 (1997).
25. M. H́non, Commun. Math. Phys. 50, 69 (1976).
26. C. Polymilis, G. Servizi, Ch. Skokos, G. Turchetti, and M. N. Vrahatis, Chaos 13, 94 (2003).