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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.