Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point

P. Collet; P. Ferrero

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 52, Issue: 3, page 283-301
  • ISSN: 0246-0211

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Collet, P., and Ferrero, P.. "Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point." Annales de l'I.H.P. Physique théorique 52.3 (1990): 283-301. <http://eudml.org/doc/76487>.

@article{Collet1990,
author = {Collet, P., Ferrero, P.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {one-dimensional dynamical systems; expanding maps; invariant measure},
language = {eng},
number = {3},
pages = {283-301},
publisher = {Gauthier-Villars},
title = {Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point},
url = {http://eudml.org/doc/76487},
volume = {52},
year = {1990},
}

TY - JOUR
AU - Collet, P.
AU - Ferrero, P.
TI - Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 52
IS - 3
SP - 283
EP - 301
LA - eng
KW - one-dimensional dynamical systems; expanding maps; invariant measure
UR - http://eudml.org/doc/76487
ER -

References

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  4. [C-F] P. Collet and P. Ferrero, Absolutely continuous invariant measure for expanding Pick maps of the interval except at a marginal fixed point, in Instabilities and Nonequilibrium Structures, E. TIRAPEGUI and D. VILLAROEL Eds., Kluwer Academic Publishers, 1989. Zbl0706.58030MR1032559
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  10. [L-Y] A. Lasota, J. Yorke, On the existence of invariant measures for piecewise monotonic transformations, Trans. Am. Math. Soc., Vol. 186, 1973, p. 481. Zbl0298.28015MR335758
  11. [M] B.B. Mandelbrot, Fractals, Form, Chance, and Dimension, Freeman and Co., New York, 1977. MR471493
  12. [Ma] P. Manneville, Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systems, J. Phys. France, Vol. 41, 1980, p. 1235. MR592697
  13. [Me] C. Meunier, Continuity of type 1 intermittency from a measure theorical point of view, J. Stat. Phys., Vol. 36, 1984, p. 321. Zbl0588.58052MR780673
  14. [N] J. Neveu, Bases Mathématiques du Calcul des Probabilités, Masson, Paris, 1970. Zbl0203.49901MR272004
  15. [T] M. Thaler, Estimates of the invariant densities of endomorphisms with indifferent fixed points, Isr. J. Math., Vol. 37, 1980, p. 303. Zbl0447.28016MR599464
  16. [Ti] E.C. Titchmarsh, The Theory of Functions, Oxford University Press, Oxford, 1932. Zbl0005.21004

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