Publications: Lai-Sang Young (L Young)

PUBLICATIONS IN CHRONOLOGICAL ORDER

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.
(with F. Ledrappier) The metric entropy of diffeomorphisms, Part II: Relations between entropy, exponents and dimension, Annals Math., 122, (1985), 540-574.
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.
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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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(with V. Baladi) On the spectra of randomly perturbed expanding maps, Commun. Math. Phys., 156, (1993), 355-385.
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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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(with I. Klapper) Rigorous bounds on the fast dynamo growth rate involving topological entropy, Commun. Math Phys., 173, (1995), 623-646.
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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)
Developments in chaotic dynamics, AMS Notices, Nov. 1998.
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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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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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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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(with Q.D. Wang) Strange attractors with one direction of instability, 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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(with Q.D. Wang) From invariant curves to strange attractors, Commun. Math. Phys. 225, (2002), 275-304.
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(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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Entropy in dynamical systems, in Entropy, Ed. Greven Keller and Warnecke, Princeton Univ. Press, (2003), 313-328.
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What are SRB measures, and which dynamical systems have them?, J. Stat. Phys., vol. 108, Issue 5, (2002), 733-754.
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(with Q.D. Wang) Strange attractors in periodically-kicked limit cycles and Hopf bifurcations, Commun. Math. Phys. 240, (2003), 509-529.
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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.
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(with J.-P. Eckmann) Temperature profiles in Hamiltonian heat conduction, Europhysics Letters, Volume 68, Issue 6, December 2004, 790-796.
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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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(with Q.D. Wang) Nonuniformly expanding 1D maps, Commun. Math. Phys. Vol. 264, No.1 (2006) 255-282.
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(with M. Demers) Escape rates and conditionally invariant measures, Nonlinearity 19 (2006) 377-397.
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(with J. Guckenheimer and M. Weschelberger) Chaotic attractors of relaxation oscillators, Nonlinearity 19, No. 3 (2006) 701-720.
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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.
(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.
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(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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(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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Chaotic phenomena in three settings: large, noisy, and out of equilibrium, Nonlinearity 21 (2008) T245-T252 (invited article "Open Problems").
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(with K. Lin and E. Shea-Brown) Reliability of coupled oscillators, J. Nonlin. Sci., 19, 2009, 497-545.
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(with K. Lin and E. Shea-Brown) Spike-Time Reliability of Layered Neural Oscillator Networks, J. Comp. Neurosci., 27, 2009, 135-160.
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(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.
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(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.