Absolute continuity of projected SRB measures of coupled Arnold cat map lattices

Ergodic Theory and Dynamical Systems

Volumn 25, Issue 1, 2005, Pages 59-88

  Bonetto, F ^a   Kupiainen, A ^b   Lebowitz, J L ^a  

^a RUTGERS UNIVERSITY   (United States)

^b UNIVERSITY OF HELSINKI   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13444257862     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385704000252     Document Type: Article

References (18)

1. [BDLR] F. Bonetto, D. Daems, J. L. Lebowitz and V. Ricci. Properties of stationary non-equilibrium states in the thermostatted periodic Lorentz gas: the multiparticle system. Phys. Rev. E 65 (2002), 051204-051213.
2. [BGM] F. Bonetto, G. Gentile and V. Mastropietro. Electric field on a surface of constant negative curvature. Ergod. Th. & Dynam. Sys. 20 (2000), 681-686.
3. [BK] J. Bricmont and A. Kupiainen. High temperature expansions and dynamical systems. Commun. Math. Phys. 178 (1996), 703-732.
4. [BLR] F. Bonetto, J. L. Lebowitz and L. Rey-Bellet. Fourier's law: a challenge for theorists. Mathematical Physics 2000. Eds. A. Fokas, A. Grigoryan, T. Kibble and B. Zegarlinsky. Imperial College Press, London, pp. 128-151.
5. [Bo] R. Bowen. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphism (Lecture Notes in Mathematics, 470). Springer, Berlin, 1975.
6. [CELS] N. Chernov, G. Eyink, J. E. Lebowitz and Ya. G. Sinai. Steady state electric conductivity in the periodic Lorentz gas. Commun. Math. Phys. 154 (1993), 569-601.
7. [EM] D. J. Evans and G. P. Morriss. Statistical Mechanics of Non-equilibrium Liquids. Academic, London, 1990.
8. [FKYY] P. Frederickson, J. L. Kaplan, E. D. Yorke and J. A. Yorke. The Lyapunov dimension of strange attractors. J. Diff. Equations 49 (1983), 185-207.
9. [G95] G. Gallavotti. Topics in chaotic dynamics. Computational Physics (Granada, 1994) (Lecture Notes in Physics, 448). Springer, Berlin, 1995, pp. 271-311.
10. [G99] G. Gallavotti. A local fluctuation theorem. Physica A 263 (1999), 39-50.
11. [H] W. G. Hoover. Computational Statistical Mechanics. Elsevier, 1991.
12. [HHP] B. L. Holian, W. G. Hoover and H. A. Posh. Resolution of Loschmidt's paradox: the origin of irreversible behavior in reversible atomistic dynamics. Phys. Rev. Lett. 59 (1987), 10-13.
13. [JP] M. Jiang and Y. B. Pesin. Equilibrium measures for coupled map lattices: Existence uniqueness and finite dimensional approximation. Commun. Math. Phys. 193 (1998), 675-711.
14. [Le] J. L. Lebowitz and G. Eyink. Generalized Gaussian dynamics, phase-space reduction, and irreversibility: a comment. Microscopic Simulations of Complex Hydrodynamics Phenomena (Proceedings of the NATO Advanced Study Institute, Alghero, 1991). Plenum, New York, 1992.
15. [MH] B. Moran and W. G. Hoover. Diffusion in the periodic Lorentz billiard. J. Stat. Phys. 48 (1987), 709.
16. [PS] Ya. G. Pesin and Ya. B. Sinai. Space-time chaos in the system of weakly interacting hyperbolic systems. J. Geom. Phys. 5 (1988), 483-492.
17. [R78] D. Ruelle. Thermodynamic Formalism. Addison-Wesley, Reading, MA, 1978.
18. [R99] D. Ruelle. Smooth dynamics and new theoretical ideas in non-equilibrium statistical mechanics. J. Stat. Phys. 95 (1999), 393-468.