@incollection{AST_2000__261__239_0,
author = {Martens, Marco and Nowicki, Tomasz},
title = {Invariant measures for typical quadratic maps},
booktitle = {G\'eom\'etrie complexe et syst\`emes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995},
editor = {Flexor Marguerite and Sentenac Pierrette and Yoccoz Jean-Christophe},
series = {Ast\'erisque},
pages = {239--252},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
number = {261},
mrnumber = {1755443},
zbl = {0939.37020},
language = {en},
url = {https://www.numdam.org/item/AST_2000__261__239_0/}
}
TY - CHAP AU - Martens, Marco AU - Nowicki, Tomasz TI - Invariant measures for typical quadratic maps BT - Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995 AU - Collectif ED - Flexor Marguerite ED - Sentenac Pierrette ED - Yoccoz Jean-Christophe T3 - Astérisque PY - 2000 SP - 239 EP - 252 IS - 261 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_2000__261__239_0/ LA - en ID - AST_2000__261__239_0 ER -
%0 Book Section %A Martens, Marco %A Nowicki, Tomasz %T Invariant measures for typical quadratic maps %B Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995 %A Collectif %E Flexor Marguerite %E Sentenac Pierrette %E Yoccoz Jean-Christophe %S Astérisque %D 2000 %P 239-252 %N 261 %I Société mathématique de France %U https://www.numdam.org/item/AST_2000__261__239_0/ %G en %F AST_2000__261__239_0
Martens, Marco; Nowicki, Tomasz. Invariant measures for typical quadratic maps, dans Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995, Astérisque, no. 261 (2000), pp. 239-252. https://www.numdam.org/item/AST_2000__261__239_0/
[BKNS] , , , , Wild Attractors Exist, Ann. of Math. 143 (1996), 97-130. | MR | Zbl | DOI
[B] , A Transformation of the Circle, Math. Notes 8 no. 2 (1970), 587-592. | Zbl | MR
[Br] , Invariant Measures of Interval Maps, Thesis (1994), Technical University Delft, Delft. | MR
[BL1] , , Attractors of Maps on the interval, Func. Anal. and Appl. 21 (1987), 32-46. | Zbl
[BL2] , , Measure of Solenoidal Attractors of Unimodal Maps of the Segment, Math. Notes 48 no. 5 (1990), 1085-1090. | Zbl | MR
[G] , Limit Sets of -unimodal Maps with Entropy Zero, Comm. Math. Phys. 110 (1987), 655-659. | MR | Zbl | DOI
[GJ] , , Distortion of -unimodal Maps, Ann. of Math. 132 (1990), 71-130. | MR | Zbl | DOI
[GS] , , Hyperbolicity in the Real Quadratic Family, Report no. PM 192 PennState (1995).
[HK] , , Quadratic Maps without Asymptotic Measure, Comm. Math. Phys. 127 (1990), 319-337. | MR | Zbl | DOI
[Ja] , Absolutely Continuous Invariant Measures for one-parameter Families of One-dimensional Maps, Comm. Math. Phys. 81 (1981), 39-88. | MR | Zbl | DOI
[Jo] , Singular Measures without restrictive interval, Comm. Math. Phys. 110 (1987), 185-190. | MR | Zbl | DOI
[K] , Exponents, Attractors and Hopf Decomposition for Interval Maps, Erg. Th. & Dyn. Sys. 10 (1990), 717-744. | MR | Zbl | DOI
[L1] , Combinatorics, Geometry and Attractors of Quasi-Quadratic Maps, Ann. of Math. 140 (1994), 347-404. | MR | Zbl | DOI
[L2] , Geometry of Quadratic Polynomials: Moduli, Rigidity, and Local Connectivity, IMS at Stony Brook preprint 1993/9.
[L3] , Dynamics of Quadratic Polynomials, II Rigidity, IMS at Stony Brook preprint 1995/14. | MR | Zbl
[L4] , Dynamics of Quadratic Polynomials, III Parapuzzles, IMS at Stony Brook preprint 1996/5 and this volume. | Zbl | Numdam
[LM] , , The Fibonacci Unimodal Map, J.A.M.S. 6 (1993), 425-457. | MR | Zbl
[Ld] , Some Properties of Absolutely Continuous Invariant Measures of an Interval, Erg. Th. & Dyn. Sys. 1 (1981), 77-93. | MR | Zbl | DOI
[Ma] , Hyperbolicity, Sinks, and Measure in One-dimensional Dynamics, Comm. Math. Phys. 100 (1985), 495-524 | MR | Zbl | DOI
[Ma] , Erratum, Comm. Math. Phys. 112 (1987), 721-724. | MR | Zbl
[M1] , Interval Dynamics, Thesis (1990), Technical University Delft, Delft, or [M2].
[M2] , Distortion Results and Invariant Cantor Sets of Unimodal Maps, Erg. Th. & Dyn. Sys. 14 (1994), 331-349. | MR | Zbl | DOI
[Mi] , Absolutely Continuous Measures for certain maps of an Interval, Publ. Math. I.H.E.S. 53 (1981), 17-51. | MR | Zbl | EuDML | Numdam | DOI
[MS] and , One-dimensional Dynamics, Springer-Verlag, 1993. | MR | Zbl
[NS] , , Absolutely Continuous Measures under a Summability Condition, Invent. Math. 93 (1988), 619-635. | EuDML | Zbl | MR
[NU] , , On Combinatorics of Stochastic and Deterministic Processes, Bull. A.M.S. 53 (1947), 1120.
[P] , A Global View on Dynamics: Conjectures and Results, this volume. | Numdam
[R] , Applications conservant une mesure absolument continue par rapport a sur , Comm. Math. Phys. 55 (1977), 47-51. | MR | Zbl | DOI
[VT] , , Scalings in Circle Maps (I), Comm. Math. Phys. 134 (1990), 89-107. | MR | Zbl | DOI






