Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point
Annales de l'I.H.P. Physique théorique (1990)
- Volume: 52, Issue: 3, page 283-301
- ISSN: 0246-0211
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topCollet, 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
top- [A] J. Aaronson, The asymptotic distributional behaviour of transformations preserving infinite measures, J. Anal. Math., Vol. 39, 1981, p. 203. Zbl0499.28013MR632462
- [B] R. Bowen, Invariant measures for Markov maps of the interval, Comm. Math. Phys., Vol. 69, 1979, p. 1. Zbl0421.28016MR547523
- [BU] P. Bugiel, A note on invariant measures for Markov maps of an interval, Z. Wahr. U. Gebiete, Vol. 70, 1985, p. 345. Zbl0606.28013MR803676
- [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
- [D] N.G. De Bruyn, Asymptotic methods in analysis, North Holland, Amsterdam, London, 1958. MR99564
- [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. Zbl0708.58008MR1109967
- [G-W] P. Gaspard and X.J. Wang, Sporadicity: Between periodic and chaotic dynamical behaviors, Proc. Nat. Acad. Sci., Vol. 85, 1988, p. 4591. Zbl0668.58029MR949187
- [H] G.H. Hardy, Divergent series, Oxford University Press, Oxford, 1973. Zbl0897.01044MR30620
- [K] U. Krengel, Ergodic Theorems, De Gruyter Studies in Mathematics, Vol. 6, Walter de Gruyter, Berlin, New York, 1985. Zbl0575.28009MR797411
- [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
- [M] B.B. Mandelbrot, Fractals, Form, Chance, and Dimension, Freeman and Co., New York, 1977. MR471493
- [Ma] P. Manneville, Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systems, J. Phys. France, Vol. 41, 1980, p. 1235. MR592697
- [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
- [N] J. Neveu, Bases Mathématiques du Calcul des Probabilités, Masson, Paris, 1970. Zbl0203.49901MR272004
- [T] M. Thaler, Estimates of the invariant densities of endomorphisms with indifferent fixed points, Isr. J. Math., Vol. 37, 1980, p. 303. Zbl0447.28016MR599464
- [Ti] E.C. Titchmarsh, The Theory of Functions, Oxford University Press, Oxford, 1932. Zbl0005.21004
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