 Entropy of continuous flows on compact 2manifolds,
Topology 16, 4, 1977, 465467.
 On the prevalence of horseshoes, Trans. AMS, 263, 1981, 7588.
 A closing lemma on the interval, Invent. Math., 54, 1979, 179187.
 (with L. Block, J. Guckenheimer and M. Misiurewicz) Periodic points
and topological entropy of onedimensional maps, Springer Lecture Notes
in Math., 819, (1980), 1834.
 (with C. Robinson) Nonabsolutely continuous foliations for an Anosov diffeomorphism, Invent. Math., 61, 1980, 159176.
 (with J. Franks) A $C^2$ KupkaSmale diffeomorphism of the disk
with no sources or sinks, Proc. Warwick Symp, Springer Lecture Notes in Math., 898, 1981, 9098.
 (with S. Newhouse) Dynamics of certain skew products,
Proc. Conf. in Dyn. Sys., Rio de janeiro, Springer Lecture Notes in Math,
1007, 1983, 611629.
 (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,
381388.
 Dimension, entropy and Lyapunov exponents, Ergod. Thy & Dynam. Sys., 2, (1982), 109124.
 Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems, Special Issue, IEEE Trans. on Circuits & Systems,
{\bf 30}, 1983, 599606.
 BowenRuelle measures for certain piecewise hyperbolic maps, Trans. AMS,
287, (1985), 4148.
 Dimension, entropy and Lyapunov exponents in differentiable dynamical systems, Physica A, 124, 1984, 639646. (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), 509539.
[ PDF Part I ]
 (with F. Ledrappier) The metric entropy of diffeomorphisms, Part II: Relations between entropy, exponents and dimension, Annals Math., 122, (1985), 540574.
[ PDF Part II ]
 Stochastic stability of hyperbolic attractors, Ergod. Th. & Dynam. Sys., 6, (1986), 311319.
 Random perturbations of matrix cocycles, Ergod. Th. & Dynam. Sys.,
6, (1986), 627637.
 (with F. Ledrappier) Entropy formula for random transformations, Prob. Th. Rel. Fields, 80, (1988), 217240.
 (with F. Ledrappier) Dimension formula for random transformations, Commun. Math. Phys., 117, (1988), 529548.
 Some large deviation results for dynamical systems, Trans. AMS,
318, (1990), 525543.
 (with F. Ledrappier) Stability of Lyapunov exponents, Ergod. Th. & Dynam. Sys., 11, (1991), 469484.
 (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), 6972; J d'Analyse, 64, (1994), 121172.
 (with M. Benedicks) Absolutely continuous invariant measures and random perturbations of certain onedimensional maps, Ergod. Th. & Dynam. Sys,
12, (1992), 1337.
 Decay of correlations for certain quadratic maps, Commun. Math. Phys, 146, (1992), 123138.
[ PDF 
Postscript ]
 (with M. Benedicks) SinaiBowenRuelle measures for certain Henon maps, Invent. Math, 112, (1993), 541576.
[ PDF 
Postscript ]
 Ergodic theory of chaotic dynamical systems, Proc. of SMALEFEST, SpringerVerlag, (1993), 201226.
 Some open sets of nonuniformly hyperbolic cocycles, Ergod. Th. & Dynam.
Sys., 13, (1993), 409415.
[ PDF 
Postscript ]
 (with V. Baladi) On the spectra of randomly perturbed expanding maps, Commun. Math. Phys., 156, (1993), 355385.
[ 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), 6776.
[ PDF 
Postscript ]
 Ergodic theory of differentiable dynamical systems, "Real and Complex Dynamics", Ed. Branner and Hjorth, NATO ASI series, Kluwer Academic Publishers, (1995), 293336.
[ PDF 
Postscript ]
 (with I. Klapper) Rigorous bounds on the fast dynamo growth rate involving topological entropy, Commun. Math Phys., 173, (1995), 623646.
[ PDF 
Postscript ]
 Ergodic theory of attractors, Proceedings of the International
Congress of Mathematicians, Z\"urich, Switzerland 1994, Birkh\"auser Verlag, 1995, 12301237. (text of lecture)
 Developments in chaotic dynamics, AMS Notices, Nov. 1998.
[ PDF 
Postscript ]
 Lyapunov exponents for some quasiperiodic cocycles, Ergod. Th. & Dynam. Syst., 17, (1997), 483504
[ PDF 
Postscript ]
 Statistical properties of dynamical systems with some hyperbolicity, Annals of Math., (1998), 585650
[ 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), 132143.
[ 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), 1356.
[ PDF 
Postscript ]
 Recurrence times and rates of mixing, Israel J Math.
110, (1999), 153188
[ PDF 
Postscript ]
 Geometric and ergodic theory of hyperbolic dynamical systems,
Lecture series in Current Developments in Mathematics 1998, HarvardMIT,
International Press (1999).
[ PDF 
Postscript ]
 (with Q.D. Wang) Strange attractors with one direction of instability,
Commun. Math. Phys. 218, (2001), 197.
[ 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), 89120.
[ PDF 
Postscript ]
 (with Q.D. Wang) From invariant curves to strange attractors,
Commun. Math. Phys. 225, (2002), 275304.
[ PDF 
Postscript ]
 (with N. Masmoudi) Ergodic theory of infinite dimensional systems
with applications to dissipative parabolic PDEs, Commun.
Math. Phys., 227, (2002), 461481.
[ PDF 
Postscript ]
 Entropy in dynamical systems, in Entropy, Ed. Greven Keller and Warnecke, Princeton Univ. Press, (2003), 313328.
[ PDF 
Postscript ]
 What are SRB measures, and which dynamical systems
have them?, J. Stat. Phys., vol. 108, Issue 5, (2002), 733754.
[ PDF 
Postscript ]
 (with Q.D. Wang) Strange attractors in periodicallykicked limit
cycles and Hopf bifurcations, Commun. Math. Phys. 240, (2003),
509529.
[ 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 zeronoise limits, Ergod. Th. & Dynam. Sys.,
Vol. 25, 4, (2005) 10911113.
[ PDF 
Postscript ]
 (with J.P. Eckmann) Temperature profiles in Hamiltonian heat conduction,
Europhysics Letters, Volume 68, Issue 6, December 2004, 790796.
[ PDF 
Postscript ]

(with J.P. Eckmann) Nonequilibrium energy profiles for a class of 1D models,
Commun. Math. Phys. Vol. 262, No. 1 (2006) 237267.
[ PDF 
Postscript ]

(with Q.D. Wang) Nonuniformly expanding 1D maps, Commun. Math. Phys. Vol. 264,
No.1 (2006) 255282.
[ PDF 
Postscript ]

(with M. Demers) Escape rates and conditionally invariant measures, Nonlinearity 19 (2006) 377397.
[ PDF 
Postscript ]

(with J. Guckenheimer and M. Weschelberger) Chaotic attractors of relaxation
oscillators, Nonlinearity 19, No. 3 (2006) 701720.
[ PDF 
Postscript ]

(with K. Lin) Correlations in Nonequilibrium Steady States
of Random Halves Models, J. Stat. Phys., Vol. 128, No. 3, (2007), 607639.

(with K. Ravishankar) Local Thermodynamic Equilibrium for
some Stochastic Models of Hamiltonian Origin, J Stat. Phys., Vol. 128, No. 3, (2007), 641665.

(with E. Kobre) Extended Systems with Deterministic Local Dynamics
and Random Jumps, Commun. Math. Phys., Vol, 275, No.3, (2007), 709720

(with Q.D. Wang) Toward a theory of rank one attractors,
Annals of Math, Vol 167. No.2 (2008) 349480.
[ PDF 
Postscript ]

(with L. ReyBellet) Large Deviations in nonuniformly hyperbolic dynamical
systems, Ergod Th & Dynam Sys, Vol. 28, Issue 02, (2008), 587612.

(with K. Lin) Shearinduced chaos, Nonlinearity 21 (2008) 899922.
[ PDF 
Postscript ]

Chaotic phenomena in three settings: large, noisy, and out of equilibrium,
Nonlinearity 21 (2008) T245T252 (invited article "Open Problems").
[ PDF 
Postscript ]

(with W. Ott and M. Stenlund) Memory loss for timedependent
dynamical systems, Math. Res. Lett. 16 (2009), no. 3, 463475.
[ PDF 
Postscript ]

(with K. Lin and E. SheaBrown) Reliability of coupled oscillators,
J. Nonlin. Sci., 19, 2009, 497545.
[ PDF published version ]

(with K. Lin and E. SheaBrown) SpikeTime Reliability of
Layered Neural Oscillator Networks, J. Comp. Neurosci., 27, 2009, 135160.
[ PDF preprint version ]

(with K. Lin and E. SheaBrown) Reliability of layered neural oscillator
networks, Comm. Math. Sci., 7, 2009, 239247 (rapid communication).

(with S. Mintchev) Selforganization 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, 199228.
[ 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, 353338.

(with J. Koiller) Coupled map networks, Nonlinearity, 23, 5, 2010, 11211141.
[ PDF published version ]

(with K. Lin) Nonequilibrium steady states for certain Hamiltonian models, J. Stat. Phys. 139 no. 4, 2010, 630657.

(with K. Lin) Dynamics of periodicallykicked oscillators, J. Fixed Point Theory Appl., 7 no. 2, 2010, 291312.

(with J.P. Eckmann) Rattling and freezing in a 1D transport model, Nonlinearity 24 (2011) 207226.

(with K. Lu and Q.D. Wang) Strange attractors for periodically forced parabolic equations, AMS Memoirs (2013).

(with Z. Lian) Lyapunov exponents, periodic orbits and horseshoes for mappings of Hilbert spaces, Ann. Henri Poincaré 12, 2011, 10811108.

(with M. Demers and P. Wright) Entropy, Lyapunov exponents and escape rates
in open systems, Ergod Th & Dynam Sys, 32:4 (2012), 12701301.

(with Q.D. Wang) Dynamical profile of a class of rankone attractors,
Ergod. Th. & Dynam. Sys, Ergod. Th. & Dynam. Sys, Vol 33, Issue 04, (2013) p.12211264.

(with Z. Lian) Lyapunov exponents, periodic orbits and horseshoes for
semiflows of Hilbert spaces, J. Amer. Math. Soc. 25 (2012), 637665.

(with B. Ryals) Horseshoes of periodicallykicked van der Pol oscillators, Chaos 22, (2012) 043140.
(with K. Lin, K.C.A. Wedgewood and S. Coombes) Limitations of
perturbative techniques in the analysis of rhythms and oscillations, J. Math. Biol. 66 (2013) 139161.

(with B. Ryals) Nonequilibrium steady states of some simple 1D
mechanical chains, J. Stat. Phys. Vol. 146, No. 5, 2012, 10891103
(with Z. Lian and C. Zeng) Absolute continuity of stable foliations for
systems on Banach spaces, J Diff. Equations, Vol. 254, 1, (2013) 283308.
(with A. Rangan) Emergent dynamics in a model of visual cortex, J Comp. Neurosci., Vol 35, Issue 2, 155167 (2013).
(with A. Rangan) Dynamics of spiking neurons: between homogeneity and
synchrony, J Comp. Neurosci., Volume 34, Issue 3 (2013), Page 433460.
Understanding chaotic dynamical systems, (invited article), Commun. Pure \& Appl. Math. Vol 66, Issue 9 (2013), 14391462.
(with M. Stenlund and H. Zhang) Dispersing billiards with moving scatterers, Commun. Math. Phys. Vol. 322, Issue 3 (2013), 909955.
Mathematical theory of Lyapunov exponents, (invited review article), J. Phys. A: Math Theor. 46 (2013) 254001.
(with A. Barrat, B. Fernandez and K. Lin) Modeling temporal networks using random itineraries, Phys. Rev. Lett. 110 (2013), article no 158702.
(with Y. Li) Existence of nonequilibrium steady state for a simple model
of heat conduction, J Stat Phys., 152 (2013) 117093.
(with Y. Li) Nonequilibrium steady states for a class of particle systems,
Nonlinearity 27 (2014) 607636.

(with L. Chariker) Emergent spike patterns in neuronal populations, J Comp. Neur
osci. (2015) 38:203220.

(with T. Pereira) Control of epidemics on complex networks: effectiveness
of delayed isolation}, Phys. Rev. E, 92, 022822 (2015).

(with Y. Li and P. Nandori) Local thermal equilibrium for certain stochastic mod
els of heat transport, J Stat Phys. 163 (2016) 1: 6191.

(with Y. Li) Polynomial convergence to equilibrium for a system of interacting
particles, to appear in Annals of Applied Probability.

(with A. Blumenthal) Entropy, volume growth and SRB measures for Banach space
mappings, Inventiones, published online (2016).
[ Journal PDF version  Online version ]

(with G. Lajoie) Dynamic signal tracking in a simple V1 spiking model, Neural Comp. 28 (2016) 19852010.

(with A. Blumenthal and J. Xue) Lyapunov exponents for random perturbations of some areapreserving maps including the standard map, Annals of Math, 185 (2017) 126
[ Journal PDF version  Online version ]

(with A. Blumenthal) Absolute continuity of stable foliations for mappings of Banach spaces, to appear in Commun. Math. Phys.

(with L. Chariker and R. Shapley) Orientation selectivity from very sparse LGN inputs in a comprehensive model of macaque V1 cortex, J Neurosci (2016) in press

Generalizations of SRB measures to nonautonomous, random, and infinite dimensional systems, to appear in J. Stat. Phys.

Unraveling the dynamics of the Brain through modeling and analysis, under review
