Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point
Annales de l'I.H.P. Physique théorique, Tome 52 (1990) no. 3, pp. 283-301.
@article{AIHPA_1990__52_3_283_0,
     author = {Collet, P. and Ferrero, P.},
     title = {Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {283--301},
     publisher = {Gauthier-Villars},
     volume = {52},
     number = {3},
     year = {1990},
     mrnumber = {1057449},
     zbl = {0703.58016},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1990__52_3_283_0/}
}
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
SP  - 283
EP  - 301
VL  - 52
IS  - 3
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1990__52_3_283_0/
LA  - en
ID  - AIHPA_1990__52_3_283_0
ER  - 
%0 Journal Article
%A Collet, P.
%A Ferrero, P.
%T Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point
%J Annales de l'I.H.P. Physique théorique
%D 1990
%P 283-301
%V 52
%N 3
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1990__52_3_283_0/
%G en
%F AIHPA_1990__52_3_283_0
Collet, P.; 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, Tome 52 (1990) no. 3, pp. 283-301. http://www.numdam.org/item/AIHPA_1990__52_3_283_0/

[A] J. Aaronson, The asymptotic distributional behaviour of transformations preserving infinite measures, J. Anal. Math., Vol. 39, 1981, p. 203. | MR | Zbl

[B] R. Bowen, Invariant measures for Markov maps of the interval, Comm. Math. Phys., Vol. 69, 1979, p. 1. | MR | Zbl

[BU] P. Bugiel, A note on invariant measures for Markov maps of an interval, Z. Wahr. U. Gebiete, Vol. 70, 1985, p. 345. | MR | Zbl

[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. | MR | Zbl

[D] N.G. De Bruyn, Asymptotic methods in analysis, North Holland, Amsterdam, London, 1958. | MR

[F] M. Feigenbaum, Complicated objects on regular trees, in Nonlinear Evolutions and Chaotic Phenomena, G. GALLAVOTTI and P. ZWEIFEL, Eds., Nato asi series, Vol. 176, Plenum press, New York, 1988. | MR | Zbl

[G-W] P. Gaspard and X.J. Wang, Sporadicity: Between periodic and chaotic dynamical behaviors, Proc. Nat. Acad. Sci., Vol. 85, 1988, p. 4591. | MR | Zbl

[H] G.H. Hardy, Divergent series, Oxford University Press, Oxford, 1973. | MR

[K] U. Krengel, Ergodic Theorems, De Gruyter Studies in Mathematics, Vol. 6, Walter de Gruyter, Berlin, New York, 1985. | MR | Zbl

[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. | MR | Zbl

[M] B.B. Mandelbrot, Fractals, Form, Chance, and Dimension, Freeman and Co., New York, 1977. | MR

[Ma] P. Manneville, Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systems, J. Phys. France, Vol. 41, 1980, p. 1235. | MR

[Me] C. Meunier, Continuity of type 1 intermittency from a measure theorical point of view, J. Stat. Phys., Vol. 36, 1984, p. 321. | MR | Zbl

[N] J. Neveu, Bases Mathématiques du Calcul des Probabilités, Masson, Paris, 1970. | MR | Zbl

[T] M. Thaler, Estimates of the invariant densities of endomorphisms with indifferent fixed points, Isr. J. Math., Vol. 37, 1980, p. 303. | MR | Zbl

[Ti] E.C. Titchmarsh, The Theory of Functions, Oxford University Press, Oxford, 1932. | Zbl