Analyticity of the susceptibility function for unimodal Markovian maps of the interval

Nonlinearity

Volumn 18, Issue 6, 2005, Pages 2447-2453

  Jiang, Yunping ^a,c,d   Ruelle, David ^b,e  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b RUTGERS UNIVERSITY   (United States)

^c CITY UNIVERSITY OF NEW YORK   (United States)

^d INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^e INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26944433762     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/6/002     Document Type: Article

References (8)

1. Baladi V 2000 Positive Transfer Operators and Decay of Correlations (Advanced Series in Nonlinear Dynamics vol 16) (Singapore: World Scientific)
2. Baladi V, Jiang Y and Rugh H H 2002 Dynamical determinants via dynamical conjugacies for postcritically finite polynomials J. Stat. Phys. 108 973-93
3. Douady D and Hubbard J H 1993 A proof of Thurston's topological characterization of rational functions Acta Math. 171 263-97
4. Jiang Y 1995 On Ulam-von Neumann transformations Commun. Math. Phys. 172 449-59
5. Jiang Y 1996 Renormalization and Geometry in One-Dimensional and Complex Dynamics (Advanced Series in Nonlinear Dynamics vol 10) (River Edge, NJ: World Scientific)
6. Ruelle D 2005 Differentiating the absolutely continuous invariant measure of an interval map f with respect to f Commun. Math. Phys. 258 445-53
7. Thurston W 2002 The Geometry and Topology of Three-Manifolds Electronic version 1.1 http://www.msri.org/publications/books/gt3m/
8. Whitney H 1934 Analytic expansions of differentiable functions defined in closed sets Trans. Am. Math. Soc. 36 63-89