Rigorous numerical approximation of escape rates

Nonlinearity

Volumn 19, Issue 11, 2006, Pages

  Bahsoun, Wael ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846079241     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/19/11/002     Document Type: Review

References (17)

1. Baladi V 2000 Positive Transfer Operators and Decay of Correlations (Advanced Series in Nonlinear Dynamics vol 16) (New Jersey: World Scientific)
2. van den Bedem H and Chernov N 2002 Expanding maps of an interval with holes Ergod. Theory Dyn. Sys. 22 637-54
3. Collet P, Martínez S and Schmitt B 1999 On the enhancement of diffusion by chaos, escape rates and stochastic instability Trans. Am. Math. Soc. 351 2875-97
4. Demers M and Young L-S 2006 Escape rates and conditionally invariant measures Nonlinearity 19 377-97
5. Dunford N and Schwartz J T 1964 Linear Operators, Part I: General Theory (New York: Interscience)
6. Gaspard P and Dorfman R 1995 Chaotic scattering theory, thermodynamic formalism, and transport coefficients Phys. Rev. E 52 3525-52
7. Gaspard P 2001 Dynamical chaos and nonequilibrium statistical mechanics Int. J. Mod. Phys. B 15 209-35
8. Kato T 1966 Perturbation Theory for Linear Operators (New York: Springer)
9. Keller G and Liverani C 1999 Stability of the spectrum for transfer operators Ann. Scuola Norm. Sup. Pisa Cl. Sci. 28 141-52
10. Lancaster P and Tismenetsky M 1985 The Theory of Matrices (Orlando: Academic)
11. Liverani C 2001 Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study Nonlinearity 14 463-90
12. Liverani C and Maume-Deschamps V 2003 Lasota-Yorke maps with holes: conditionally invariant probability measures and invariant probability measures on the survivor set Ann. Inst. H. Poincare Probab. Stat. 39 385-412
13. Murray R 1997 Discrete approximation of invariant densities PhD Thesis University of Cambridge
14. Pianigiani G and Yorke J 1979 Expanding maps on sets which are almost invariant. Decay and chaos Trans. Am. Math. Soc. 252 351-66
15. Ruelle D 1997 Entropy production in nonequilibrium statistical mechanics Commun. Math. Phys. 189 365-71
16. Ulam S M 1960 A Collection of Mathematical Problems (Interscience Tracts in Pure and Applied Math. vol 8) (New York: Interscience)
17. Wilkinson J H 1965 The Algebraic Eigenvalue Problem (Oxford: Clarendon)