Spectre de l'opérateur de transfert en dimension 1

Manuscripta Mathematica

Volumn 106, Issue 3, 2001, Pages 365-403

  Gouëzel, Sébastien ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035539908     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005888     Document Type: Article

References (13)

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3. Baladi, V. and Keller, G.: Zeta Functions and Transfer Operators for Piecewise Monotone Transformations. Commun. Math. Phys. 127, 459-477 (1990)
4. Baladi, V., Kitaev, A., Ruelle, D. and Semmes, S.: Sharp Determinants and Kneading Operators for Holomorphic Maps. Proc. Steklov. Math. Inst. 216, 186-228 (1997)
5. Baladi V., Ruelle, D.: Sharp Determinants. Invent. Math. 123, 553-574 (1996)
6. Gohberg, I., Goldberg, S. and Krupnik, N.: Traces and Determinants of Linear Operators. In: Operator Theory, Vol. 116. Birkhäuser, 2000
7. Milnor, J. and Thurston, W.: Iterated Maps of the Interval. Lecture Notes in Mathematics 1342. Springer, 1988
8. Nussbaum, R.D.: The radius of the essential spectrum. Duke Math. J. 37, 473-478 (1970)
9. Ruelle, D.: Spectral properties of a class of operators associated with maps in one dimension. Erg. Theory and Dyn. Syst. 11, 757-767 (1991)
10. Ruelle, D.: Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval. American Mathematical Society, CRM Monograph Series Vol. 4, 1994
11. Ruelle, D: Extending the results of "sharp determinants" to discontinuous weights. Fax, 1994
12. Ruelle, D: Functional Equation for Dynamical Zeta Functions of Milnor-Thurston Type. Commun. Math. Phys. 88, 63-88 (1996)
13. Ruelle, D: Sharp Zeta Functions for Smooth Interval Maps. In: International Conference on Dynamical Systems (Montevideo, 1995) Longman, 1996, pp. 188-206