Statistics of return times for weighted maps of the interval

Frédéric Paccaut

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 3, page 339-366
  • ISSN: 0246-0203

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Paccaut, Frédéric. "Statistics of return times for weighted maps of the interval." Annales de l'I.H.P. Probabilités et statistiques 36.3 (2000): 339-366. <http://eudml.org/doc/77662>.

@article{Paccaut2000,
author = {Paccaut, Frédéric},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {piecewise monotonic transformation; distortion; dilatation; covering; Lasota-Yorke inequality; conformal measure; invariant measure; return time; entrance time},
language = {eng},
number = {3},
pages = {339-366},
publisher = {Gauthier-Villars},
title = {Statistics of return times for weighted maps of the interval},
url = {http://eudml.org/doc/77662},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Paccaut, Frédéric
TI - Statistics of return times for weighted maps of the interval
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2000
PB - Gauthier-Villars
VL - 36
IS - 3
SP - 339
EP - 366
LA - eng
KW - piecewise monotonic transformation; distortion; dilatation; covering; Lasota-Yorke inequality; conformal measure; invariant measure; return time; entrance time
UR - http://eudml.org/doc/77662
ER -

References

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  1. [1] Bowen R., Equilibrium states and the ergodic theory of Anosov diffeomorphisms, in: Lecture Notes in Math., Vol. 470, Springer, Berlin, 1975. Zbl0308.28010MR442989
  2. [2] Collet P., Some ergodic properties of maps of the interval, in: Bamon R., Gambaudo J.M., Martinez S. (Eds.), Dynamical and Disordered Systems, Herman, 1996. Zbl0876.58024MR1600931
  3. [3] Collet P., Galves A., Schmitt B., Fluctuations of repetition times for gibbsian sources, Nonlinearity (1997), to appear. Zbl0945.60017MR1709841
  4. [4] Denker M., Urbanski M., On the existence of conformal measures, Trans. Am. Math. Soc.328 (1991) 563-587. Zbl0745.58031MR1014246
  5. [5] Galves A., Schmitt B., Inequalities for hitting times in mixing dynamical systems, Random Comput. Dyn.5 (4) (1997) 337-347. Zbl1005.37501MR1483874
  6. [6] Liverani C., Central limit theorem for deterministic systems, in: Proceedings of the International Congress on Dynamical Systems, Montevideo95, Research Notes in Mathematics Series, Pittman, 1997. Zbl0871.58055MR1460797
  7. [7] Liverani C., Saussol B., Vaienti S., Conformal measure and decay of correlations for covering weighted systems, Ergodic Theory Dynamical Systems18 (6) (1998) 1399-1420. Zbl0915.58061MR1658635
  8. [8] Ornstein D., Weiss B., Entropy and data compression schemes, IEEE Trans. Inform. Theory39 (1993) 78-83. Zbl0764.94003MR1211492

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