- Entropy of continuous flows on compact 2-manifolds,
Topology 16, 4, 1977, 465-467.
- On the prevalence of horseshoes, Trans. AMS, 263, 1981, 75-88.
- A closing lemma on the interval, Invent. Math., 54, 1979, 179-187.
- (with L. Block, J. Guckenheimer and M. Misiurewicz) Periodic points
and topological entropy of one-dimensional maps, Springer Lecture Notes
in Math., 819, (1980), 18-34.
- (with C. Robinson) Nonabsolutely continuous foliations for an Anosov diffeomorphism, Invent. Math., 61, 1980, 159-176.
- (with J. Franks) A $C^2$ Kupka-Smale diffeomorphism of the disk
with no sources or sinks, Proc. Warwick Symp, Springer Lecture Notes in Math., 898, 1981, 90-98.
- (with S. Newhouse) Dynamics of certain skew products,
Proc. Conf. in Dyn. Sys., Rio de janeiro, Springer Lecture Notes in Math,
1007, 1983, 611-629.
- (with D. Rand) Dynamical Systems and Turbulence, Warwick 1980,
Springer Verlag Lecture Notes in Math, 898, 1981. (edited book)
- Capacity of attractors, Ergod. Thy & Dynam. Sys., 1, 1981,
381-388.
- Dimension, entropy and Lyapunov exponents, Ergod. Thy & Dynam. Sys., 2, (1982), 109-124.
- Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems, Special Issue, IEEE Trans. on Circuits & Systems,
{\bf 30}, 1983, 599-606.
- Bowen-Ruelle measures for certain piecewise hyperbolic maps, Trans. AMS,
287, (1985), 41-48.
- Dimension, entropy and Lyapunov exponents in differentiable dynamical systems, Physica A, 124, 1984, 639-646. (text of lecture at International
Congress of Math Phys., Boulder 1983)
- (with F. Ledrappier) The metric entropy of diffeomorphisms, Part I: Characterization of measures satisfying Pesin's entropy formula, Annals Math., 122, (1985), 509-539.
[ PDF Part I ] - (with F. Ledrappier) The metric entropy of diffeomorphisms, Part II: Relations between entropy, exponents and dimension, Annals Math., 122, (1985), 540-574.
[ PDF Part II ]
- Stochastic stability of hyperbolic attractors, Ergod. Th. & Dynam. Sys., 6, (1986), 311-319.
- Random perturbations of matrix cocycles, Ergod. Th. & Dynam. Sys.,
6, (1986), 627-637.
- (with F. Ledrappier) Entropy formula for random transformations, Prob. Th. Rel. Fields, 80, (1988), 217-240.
- (with F. Ledrappier) Dimension formula for random transformations, Commun. Math. Phys., 117, (1988), 529-548.
- Some large deviation results for dynamical systems, Trans. AMS,
318, (1990), 525-543.
- (with F. Ledrappier) Stability of Lyapunov exponents, Ergod. Th. & Dynam. Sys., 11, (1991), 469-484.
- (with P. Thieullen and C. Tresser) Exposant de Lyapunov positif dans
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.
- (with M. Benedicks) Absolutely continuous invariant measures and random perturbations of certain one-dimensional maps, Ergod. Th. & Dynam. Sys,
12, (1992), 13-37.
- Decay of correlations for certain quadratic maps, Commun. Math. Phys, 146, (1992), 123-138.
[ PDF | Postscript ] - (with M. Benedicks) Sinai-Bowen-Ruelle measures for certain Henon maps, Invent. Math, 112, (1993), 541-576.
[ PDF | Postscript ] - 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.
[ PDF | Postscript ] - (with V. Baladi) On the spectra of randomly perturbed expanding maps, Commun. Math. Phys., 156, (1993), 355-385.
[ PDF | Postscript ] Erratum: [ PDF | Postscript ] - (with H. Hu) Nonexistence of SBR measures for some diffeomorphisms that are ``almost Anosov", Ergod. Th. & Dynam. Syst., 15, (1995), 67-76.
[ PDF | Postscript ] - Ergodic theory of differentiable dynamical systems, "Real and Complex Dynamics", Ed. Branner and Hjorth, NATO ASI series, Kluwer Academic Publishers, (1995), 293-336.
[ PDF | Postscript ] - (with I. Klapper) Rigorous bounds on the fast dynamo growth rate involving topological entropy, Commun. Math Phys., 173, (1995), 623-646.
[ PDF | Postscript ] - Ergodic theory of attractors, Proceedings of the International
Congress of Mathematicians, Z\"urich, Switzerland 1994, Birkh\"auser Verlag, 1995, 1230-1237. (text of lecture)
- Developments in chaotic dynamics, AMS Notices, Nov. 1998.
[ PDF | Postscript ] - Lyapunov exponents for some quasi-periodic cocycles, Ergod. Th. & Dynam. Syst., 17, (1997), 483-504
[ PDF | Postscript ] - Statistical properties of dynamical systems with some hyperbolicity, Annals of Math., (1998), 585-650
[ PDF | Postscript ] - (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.
[ PDF | Postscript ] - Developments in chaotic dynamics, AMS Notices, Nov. 1998.
[ PDF | Postscript ] - (with M. Benedicks) Markov extensions and decay of correlations for certain Henon maps, Asterisque 261, (2000), 13-56.
[ PDF | Postscript ] - Recurrence times and rates of mixing, Israel J Math.
110, (1999), 153-188
[ PDF | Postscript ] - Geometric and ergodic theory of hyperbolic dynamical systems,
Lecture series in Current Developments in Mathematics 1998, Harvard-MIT,
International Press (1999).
[ PDF | Postscript ] - (with Q.D. Wang) Strange attractors with one direction of instability,
Commun. Math. Phys. 218, (2001), 1--97.
[ PDF | Postscript ] - (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.
[ PDF | Postscript ] - (with Q.D. Wang) From invariant curves to strange attractors,
Commun. Math. Phys. 225, (2002), 275-304.
[ PDF | Postscript ] - (with N. Masmoudi) Ergodic theory of infinite dimensional systems
with applications to dissipative parabolic PDEs, Commun.
Math. Phys., 227, (2002), 461-481.
[ PDF | Postscript ] - Entropy in dynamical systems, in Entropy, Ed. Greven Keller and Warnecke, Princeton Univ. Press, (2003), 313-328.
[ PDF | Postscript ] - What are SRB measures, and which dynamical systems
have them?, J. Stat. Phys., vol. 108, Issue 5, (2002), 733-754.
[ PDF | Postscript ] - (with Q.D. Wang) Strange attractors in periodically-kicked limit
cycles and Hopf bifurcations, Commun. Math. Phys. 240, (2003),
509-529.
[ PDF | Postscript ] - Board of Advisors and contributor to Encyclopedia of Nonlinear Science,
Ed. A. Scott, Routledge, 2004.
[ Encyclopedia Home Page ] -
(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 ] -
(with J.-P. Eckmann) Nonequilibrium energy profiles for a class of 1-D models,
Commun. Math. Phys. Vol. 262, No. 1 (2006) 237-267.
[ PDF | Postscript ] -
(with Q.D. Wang) Nonuniformly expanding 1D maps, Commun. Math. Phys. Vol. 264,
No.1 (2006) 255-282.
[ PDF | Postscript ] -
(with M. Demers) Escape rates and conditionally invariant measures, Nonlinearity 19 (2006) 377-397.
[ PDF | Postscript ] -
(with J. Guckenheimer and M. Weschelberger) Chaotic attractors of relaxation
oscillators, Nonlinearity 19, No. 3 (2006) 701-720.
[ PDF | Postscript ] -
(with K. Lin) Correlations in Nonequilibrium Steady States
of Random Halves Models, J. Stat. Phys., Vol. 128, No. 3, (2007), 607-639.
- (with K. Ravishankar) Local Thermodynamic Equilibrium for some Stochastic Models of Hamiltonian Origin, J Stat. Phys., Vol. 128, No. 3, (2007), 641-665.
- (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.
[ PDF | 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.
[ PDF | Postscript ]- Chaotic phenomena in three settings: large, noisy, and out of equilibrium, Nonlinearity 21 (2008) T245-T252 (invited article "Open Problems").
[ PDF | Postscript ]- (with W. Ott and M. Stenlund) Memory loss for time-dependent dynamical systems, Math. Res. Lett. 16 (2009), no. 3, 463-475.
[ PDF | Postscript ]- (with K. Lin and E. Shea-Brown) Reliability of coupled oscillators, J. Nonlin. Sci., 19, 2009, 497-545.
[ PDF published version ]- (with K. Lin and E. Shea-Brown) Spike-Time Reliability of Layered Neural Oscillator Networks, J. Comp. Neurosci., 27, 2009, 135-160.
[ PDF preprint version ]- (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 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 version ]- (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.
[ PDF published version ]- (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 B. Ryals) Horseshoes of periodically-kicked van der Pol oscillators, Chaos 22, (2012) 043140.
(with A. Blumenthal) Entropy, volume growth and SRB measures for Banach space
mappings, Invent. Math. 207 No.2 (2017) 833-893
[ Journal PDF version | Online version ]
(with A. Blumenthal and J. Xue) Lyapunov exponents for random perturbations of some area-preserving maps including the standard map, Annals of Math, 185 (2017) 1-26
[ Journal PDF version | Online version ]
Comparing chaotic and random dynamical systems, to appear in Proc. ICMP 2018 Montreal, 2018 preprint
Dynamical systems evolving, Proc. ICM 2018 Rio de Janeiro, World Scientific (2018)
- (with K. Ravishankar) Local Thermodynamic Equilibrium for some Stochastic Models of Hamiltonian Origin, J Stat. Phys., Vol. 128, No. 3, (2007), 641-665.