Linear response despite critical points

Nonlinearity

Volumn 21, Issue 6, 2008, Pages

  Baladi, Viviane ^a  

^a ÉCOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44949166500     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/21/6/T01     Document Type: Article

References (25)

1. Alves J F 2004 Strong statistical stability of non-uniformly expanding maps Nonlinearity 17 1193-215
2. Alves J F, Carvalho M and Freitas J M 2006 Statistical Stability for Hénon maps of the Benedicks-Carleson type arXiv math.ap/0610602
3. Alves J F, Luzzatto S and Pinheiro V 2005 Markov structures and decay of correlations for non-uniformly expanding dynamical systems Ann. Inst. H. Poincaré Anal. Non Linéaire 22 817-39
4. Avila A, Lyubich M and de Melo W 2003 Regular or stochastic dynamics in real analytic families of unimodal maps Invent. Math. 154 451-550
5. Baladi V 2007 On the susceptibility function of piecewise expanding interval maps Commun. Math. Phys. 275 839-59
6. Baladi V and Gouëzel S 2007 Good Banach spaces for piecewise hyperbolic maps via interpolation arXiv: 0711.1960
7. Baladi V and Smania D 2008 Linear response for piecewise expanding unimodal maps Nonlinearity 21 677-711
8. Baladi V and Smania D 2007 Smooth deformations of piecewise expanding unimodal maps arXiv: 0710.1845
9. Baladi V and Smania D 2008 Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps arXiv: 0801.3356
10. Baladi V and Smania D 2008 Alternative proofs of linear response for piecewise expanding unimodal maps arXiv: 0803.3344
11. Baladi V and Tsujii M 2007 Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms Ann. Inst. Fourier 57 127-54
12. Benedicks M and Young L-S 2000 Markov extensions and decay of correlations for certain Hénon maps Géométrie Complexe et Systèmes Dynamiques Astérisque 261 13-56
13. Bruin H, Luzzatto S and Van Strien S 2003 Decay of correlations in one-dimensional dynamics Ann. Sci. École Norm. Sup. 36 621-46
14. Demers M and Liverani C 2006 Stability of statistical properties in two-dimensional piecewise hyperbolic maps Trans. Am. Math. Soc. arXiv math.ap/0602067 at press
15. Dolgopyat D 2004 On differentiability of SRB states for partially hyperbolic systems Invent. Math. 155 389-449
16. Gouëzel S and Liverani C 2006 Banach spaces adapted to Anosov systems Ergod. Theory Dyn. Syst. 26 189-218
17. Katok A, Knieper G, Pollicott M and Weiss H 1989 Differentiability and analyticity of topological entropy for Anosov and geodesic flows Invent. Math. 98 581-97
18. Keller G, Howard P J and Klages R 2008 Continuity properties of transport coefficients in simple maps arXiv: 0801.2413
19. Moser J 1969 On a theorem of Anosov J. Diff. Eqns 5 411-40
20. Ruelle D 1997 Differentiation of SRB states Commun. Math. Phys. 187 227-41
21. Ruelle D 2004 Application of hyperbolic dynamics to physics: some problems and conjectures Bull. Am. Math. Soc. 41 275-8
22. Ruelle D 2007 Structure and f-dependence of the a.c.i.m. for a unimodal map f of Misiurewicz type arXiv: 0710.2015
23. Viana M 1997 Multidimensional nonhyperbolic attractors Publ. Math. 85 63-96 I.H.É.S.
24. Wang Q and Young L S 2001 Strange attractors with one direction of instability Commun. Math. Phys. 218 1-97
25. Young L-S 2002 What are SRB measures, and which dynamical systems have them? J. Statist. Phys. 108 733-54