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and topological entropy of one-dimensional maps, Springer Lecture Notes
in Math., 819, (1980), 18-34.
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with no sources or sinks, Proc. Warwick Symp, Springer Lecture Notes in Math., 898, 1981, 90-98.
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Proc. Conf. in Dyn. Sys., Rio de janeiro, Springer Lecture Notes in Math,
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Springer Verlag Lecture Notes in Math, 898, 1981. (edited book)
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Congress of Math Phys., Boulder 1983)
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- Stochastic stability of hyperbolic attractors, Ergod. Th. & Dynam. Sys., 6, (1986), 311-319.
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6, (1986), 627-637.
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318, (1990), 525-543.
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des familles a un parametre d'applications unimodales, C.R. Acad. Sci.
Paris, 315.I, (1992), 69-72; J d'Analyse, 64, (1994), 121-172.
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12, (1992), 13-37.
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- (with M. Benedicks) Sinai-Bowen-Ruelle measures for certain Henon maps, Invent. Math, 112, (1993), 541-576.
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- Ergodic theory of chaotic dynamical systems, Proc. of SMALEFEST, Springer-Verlag, (1993), 201-226.
- Some open sets of nonuniformly hyperbolic cocycles, Ergod. Th. & Dynam.
Sys., 13, (1993), 409-415.
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Postscript ]
- (with V. Baladi) On the spectra of randomly perturbed expanding maps, Commun. Math. Phys., 156, (1993), 355-385.
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Postscript ] Erratum: [ PDF |
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- (with H. Hu) Nonexistence of SBR measures for some diffeomorphisms that are ``almost Anosov", Ergod. Th. & Dynam. Syst., 15, (1995), 67-76.
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- Ergodic theory of differentiable dynamical systems, "Real and Complex Dynamics", Ed. Branner and Hjorth, NATO ASI series, Kluwer Academic Publishers, (1995), 293-336.
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- Ergodic theory of attractors, Proceedings of the International
Congress of Mathematicians, Z\"urich, Switzerland 1994, Birkh\"auser Verlag, 1995, 1230-1237. (text of lecture)
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- Lyapunov exponents for some quasi-periodic cocycles, Ergod. Th. & Dynam. Syst., 17, (1997), 483-504
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- Statistical properties of dynamical systems with some hyperbolicity, Annals of Math., (1998), 585-650
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- (with R. Murray and M. Keane) Computing invariant measures for
expanding circle maps, Nonlinearity 1998.
- Ergodic theory of chaotic dynamical systems, Proc.
International Congress of Math. Phys., Brisbane 1997,
International Press (1999), 132-143.
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Postscript ]
- Developments in chaotic dynamics, AMS Notices, Nov. 1998.
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- (with M. Benedicks) Markov extensions and decay of correlations for certain Henon maps, Asterisque 261, (2000), 13-56.
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Postscript ]
- Recurrence times and rates of mixing, Israel J Math.
110, (1999), 153-188
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- Geometric and ergodic theory of hyperbolic dynamical systems,
Lecture series in Current Developments in Mathematics 1998, Harvard-MIT,
International Press (1999).
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Commun. Math. Phys. 218, (2001), 1--97.
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- (with N. Chernov) Decay of correlations for Lorentz gases and
hard balls, Encycl. of Math. Sc., Math. Phys. II, Vol. 101, Ed. Szasz,
(2001), 89-120.
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Postscript ]
- (with Q.D. Wang) From invariant curves to strange attractors,
Commun. Math. Phys. 225, (2002), 275-304.
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Postscript ]
- (with N. Masmoudi) Ergodic theory of infinite dimensional systems
with applications to dissipative parabolic PDEs, Commun.
Math. Phys., 227, (2002), 461-481.
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Postscript ]
- Entropy in dynamical systems, in Entropy, Ed. Greven Keller and Warnecke, Princeton Univ. Press, (2003), 313-328.
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Postscript ]
- What are SRB measures, and which dynamical systems
have them?, J. Stat. Phys., vol. 108, Issue 5, (2002), 733-754.
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Postscript ]
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cycles and Hopf bifurcations, Commun. Math. Phys. 240, (2003),
509-529.
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Postscript ]
- Board of Advisors and contributor to Encyclopedia of Nonlinear Science,
Ed. A. Scott, Routledge, 2004.
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Home Page ]
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(with W. Cowieson) SRB measures as zero-noise limits, Ergod. Th. & Dynam. Sys.,
Vol. 25, 4, (2005) 1091-1113.
[ PDF |
Postscript ]
- (with J.-P. Eckmann) Temperature profiles in Hamiltonian heat conduction,
Europhysics Letters, Volume 68, Issue 6, December 2004, 790-796.
[ PDF |
Postscript ]
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(with J.-P. Eckmann) Nonequilibrium energy profiles for a class of 1-D models,
Commun. Math. Phys. Vol. 262, No. 1 (2006) 237-267.
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Postscript ]
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(with Q.D. Wang) Nonuniformly expanding 1D maps, Commun. Math. Phys. Vol. 264,
No.1 (2006) 255-282.
[ PDF |
Postscript ]
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(with M. Demers) Escape rates and conditionally invariant measures, Nonlinearity 19 (2006) 377-397.
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Postscript ]
-
(with J. Guckenheimer and M. Weschelberger) Chaotic attractors of relaxation
oscillators, Nonlinearity 19, No. 3 (2006) 701-720.
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Postscript ]
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(with K. Lin) Correlations in Nonequilibrium Steady States
of Random Halves Models, J. Stat. Phys., Vol. 128, No. 3, (2007), 607-639.
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(with K. Ravishankar) Local Thermodynamic Equilibrium for
some Stochastic Models of Hamiltonian Origin, J Stat. Phys., Vol. 128, No. 3, (2007), 641-665.
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(with E. Kobre) Extended Systems with Deterministic Local Dynamics
and Random Jumps, Commun. Math. Phys., Vol, 275, No.3, (2007), 709-720
(with Q.D. Wang) Toward a theory of rank one attractors,
Annals of Math, Vol 167. No.2 (2008) 349-480.
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Postscript ]
(with L. Rey-Bellet) Large Deviations in nonuniformly hyperbolic dynamical
systems, Ergod Th & Dynam Sys, Vol. 28, Issue 02, (2008), 587-612.
(with K. Lin) Shear-induced chaos, Nonlinearity 21 (2008) 899-922.
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Postscript ]
(with W. Ott and M. Stenlund) Memory loss for time-dependent
dynamical systems, Math. Res. Lett. 16 (2009), no. 3, 463-475.
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Postscript ]
Chaotic phenomena in three settings: large, noisy, and out of equilibrium,
Nonlinearity 21 (2008) T245-T252 (invited article "Open Problems").
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Postscript ]
(with K. Lin and E. Shea-Brown) Reliability of coupled oscillators,
J. Nonlin. Sci., 19, 2009, 497-545.
[ PDF published ]
(with K. Lin and E. Shea-Brown) Spike-Time Reliability of
Layered Neural Oscillator Networks, J. Comp. Neurosci., 27, 2009, 135-160.
[ PDF preprint ]
(with M. Demers and P. Wright) Escape rates and physically relevant
measures for billiards with small holes, Commun. Math. Phys., Vol 294, 2, 2010, 353-338.
(with P. Balint and K. Lin) Ergodicity and energy distributions for
some boundary driven integrable Hamiltonian chains, Commun. Math. Phys., Vol 294, 1, 2010, 199-228.
[ PDF preprint ]
(with K. Lin and E. Shea-Brown) Reliability of layered neural oscillator networks, Comm. Math. Sci., 7, 2009, 239-247 (rapid communication).
(with S. Mintchev) Self-organization in predominantly feedforward oscillator chains, Chaos, 2009, no. 4, 043131, 10pp.
(with M. Demers and P. Wright) Escape rates and physically relevant measures for
billiards with small holes, Commun. Math. Phys., Vol 294, 2, 2010, 353-338.
(with J. Koiller) Coupled map networks, Nonlinearity, 23, 5, 2010, 1121-1141.
(with K. Lin) Nonequilibrium steady states for certain Hamiltonian models, J. Stat. Phys. 139 no. 4, 2010, 630-657.
(with K. Lin) Dynamics of periodically-kicked oscillators, J. Fixed Point Theory Appl., 7 no. 2, 2010, 291-312.
(with J.-P. Eckmann) Rattling and freezing in a 1-D transport model, Nonlinearity 24 (2011) 207-226.
(with K. Lu and Q.D. Wang) Strange attractors for periodically forced parabolic equations, preprint.
(with Q.D. Wang) Dynamical profile of a class of rank-one attractors, preprint.
(with Z. Lian) Lyapunov exponents, periodic orbits and horseshoes for mappings of Hilbert spaces, preprint.
(with M. Demers and P. Wright) Entropy, Lyapunov exponents and escape rates in open systems, preprint.
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