Lai-Sang Young
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American mathematician and academic
Lai-Sang Young's AcademicInfluence.com Rankings
Lai-Sang Youngmathematics Degrees
Mathematics
#1828
World Rank
#2917
Historical Rank
#740
USA Rank
Measure Theory
#1408
World Rank
#1767
Historical Rank
#487
USA Rank
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Mathematics
Lai-Sang Young's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Lai-Sang Young Influential?
(Suggest an Edit or Addition)According to Wikipedia, Lai-Sang Lily Young is a Hong Kong-born American mathematician who holds the Henry & Lucy Moses Professorship of Science and is a professor of mathematics and neural science at the Courant Institute of Mathematical Sciences of New York University. Her research interests include dynamical systems, ergodic theory, chaos theory, probability theory, statistical mechanics, and neuroscience. She is particularly known for introducing the method of Markov returns in 1998, which she used to prove exponential correlation delay in Sinai billiards and other hyperbolic dynamical systems.
Lai-Sang Young's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- STATISTICAL PROPERTIES OF DYNAMICAL SYSTEMS WITH SOME HYPERBOLICITY (1998) (758)
- Recurrence times and rates of mixing (1999) (678)
- Dimension, entropy and Lyapunov exponents (1982) (625)
- What Are SRB Measures, and Which Dynamical Systems Have Them? (2002) (551)
- The metric entropy of diffeomorphisms Part I: Characterization of measures satisfying Pesin's entropy formula (1985) (543)
- The metric entropy of diffeomorphisms Part II: Relations between entropy, exponents and dimension (1985) (368)
- Ergodic Theory of Differentiable Dynamical Systems (1995) (359)
- The metric entropy of diffeomorphisms (1984) (355)
- Periodic points and topological entropy of one dimensional maps (1980) (335)
- Dynamical Systems and Turbulence, Warwick 1980 (1981) (233)
- Sinai-Bowen-Ruelle measures for certain Hénon maps (1993) (227)
- Entropy in dynamical systems (2003) (211)
- Strange Attractors with One Direction of Instability (2001) (196)
- Hard Ball Systems and the Lorentz Gas (2000) (184)
- On the spectra of randomly perturbed expanding maps (1993) (157)
- Large deviations in dynamical systems (1990) (153)
- Decay of correlations for certain quadratic maps (1992) (150)
- Escape rates and conditionally invariant measures (2006) (137)
- Markov extensions and decay of correlations for certain Hénon maps (2000) (132)
- Stochastic stability of hyperbolic attractors (1986) (122)
- Some large deviation results for dynamical systems (1990) (121)
- SRB measures as zero-noise limits (2005) (115)
- Toward a theory of rank one attractors (2008) (114)
- Large deviations in non-uniformly hyperbolic dynamical systems (2008) (110)
- Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations (2003) (108)
- Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps (1992) (106)
- From Invariant Curves to Strange Attractors (2002) (104)
- Decay of correlations for Lorentz gases and hard balls (2000) (91)
- Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’ (1995) (89)
- Chaotic attractors of relaxation oscillators (2006) (82)
- Dimension formula for random transformations (1988) (81)
- Rigorous bounds on the fast dynamo growth rate involving topological entropy (1995) (79)
- Nonequilibrium Energy Profiles for a Class of 1-D Models (2005) (74)
- Lyapunov exponents for some quasi-periodic cocycles (1997) (72)
- Bowen-Ruelle measures for certain piecewise hyperbolic maps (1985) (72)
- Ergodic Theory of Infinite Dimensional Systems¶with Applications to Dissipative Parabolic PDEs (2002) (68)
- Orientation Selectivity from Very Sparse LGN Inputs in a Comprehensive Model of Macaque V1 Cortex (2016) (68)
- Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems (1983) (63)
- Computing invariant measures for expanding circle maps (1998) (55)
- Shear-induced chaos (2007) (54)
- Memory loss for time-dependent dynamical systems (2009) (54)
- Mathematical theory of Lyapunov exponents (2013) (52)
- Escape Rates and Physically Relevant Measures for Billiards with Small Holes (2009) (51)
- Positive Lyapunov exponent for generic one-parameter families of unimodal maps (1994) (48)
- Reliability of Coupled Oscillators (2009) (45)
- Rhythm and Synchrony in a Cortical Network Model (2018) (42)
- Temperature profiles in Hamiltonian heat conduction (2004) (41)
- Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces (2012) (40)
- Some open sets of nonuniformly hyperbolic cocycles (1993) (39)
- Strange Attractors for Periodically Forced Parabolic Equations (2013) (37)
- Lyapunov exponents for random perturbations of some area-preserving maps including the standard map (2017) (37)
- Consequences of delays and imperfect implementation of isolation in epidemic control (2019) (37)
- Lyapunov Exponents, Periodic Orbits and Horseshoes for Mappings of Hilbert Spaces (2011) (36)
- Nonabsolutely continuous foliations for an Anosov diffeomorphism (1980) (36)
- Dispersing Billiards with Moving Scatterers (2012) (36)
- Ergodic Theory of Chaotic Dynamical Systems (1993) (36)
- Emergent dynamics in a model of visual cortex (2013) (36)
- Entropy, volume growth and SRB measures for Banach space mappings (2015) (35)
- Coupled map networks (2010) (35)
- A closing lemma on the interval (1979) (33)
- Modeling temporal networks using random itineraries (2013) (32)
- On the prevalence of horseshoes (1981) (31)
- Entropy, Lyapunov exponents and escape rates in open systems (2011) (31)
- Stability of Lyapunov exponents (1991) (30)
- Emergent spike patterns in neuronal populations (2015) (29)
- Dynamics of spiking neurons: between homogeneity and synchrony (2013) (27)
- Nonuniformly Expanding 1D Maps (2006) (27)
- Entropy of continuous flows on compact 2-manifolds (1977) (26)
- Dimension, entropy and Lyapunov exponents in differentiable dynamical systems (1984) (25)
- An SIQ delay differential equations model for disease control via isolation (2018) (23)
- Reliability of Layered Neural Oscillator Networks (2008) (23)
- Nonequilibrium Steady States for Certain Hamiltonian Models (2010) (22)
- Spike-time reliability of layered neural oscillator networks (2009) (22)
- Dynamical profile of a class of rank-one attractors (2012) (22)
- Dynamics of periodically kicked oscillators (2010) (21)
- Random perturbations of matrix cocycles (1986) (19)
- Generalizations of SRB Measures to Nonautonomous, Random, and Infinite Dimensional Systems (2017) (18)
- Limitations of perturbative techniques in the analysis of rhythms and oscillations (2011) (18)
- Chaotic phenomena in three settings: large, noisy and out of equilibrium (2008) (17)
- On the spectra of randomly perturbed expanding maps (1994) (16)
- Capacity of attractors (1981) (16)
- Ergodic Theory of Attractors (1995) (15)
- Dynamical Systems and Turbulence, Warwick 1980 : proceedings of a symposium held at the University of Warwick 1979/80 (1981) (15)
- Existence of Nonequilibrium Steady State for a Simple Model of Heat Conduction (2013) (15)
- Ergodicity and Energy Distributions for Some Boundary Driven Integrable Hamiltonian Chains (2010) (15)
- A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks (1981) (14)
- Nonequilibrium steady states for a class of particle systems (2014) (13)
- Understanding Chaotic Dynamical Systems (2013) (13)
- Lyapunov Exponents and Correlation Decay for Random Perturbations of Some Prototypical 2D Maps (2018) (12)
- Developments in chaotic dynamics (1998) (12)
- Absolute continuity of stable foliations for systems on Banach spaces (2013) (12)
- Correlations in Nonequilibrium Steady States of Random Halves Models (2007) (11)
- Local Thermodynamic Equilibrium for some Stochastic Models of Hamiltonian Origin (2007) (10)
- Extended Systems with Deterministic Local Dynamics and Random Jumps (2007) (10)
- Control of epidemics on complex networks: Effectiveness of delayed isolation. (2015) (10)
- How well do reduced models capture the dynamics in models of interacting neurons? (2017) (9)
- Origin of exponential growth in nonlinear reaction networks (2020) (9)
- Equivalence of physical and SRB measures in random dynamical systems (2018) (8)
- Local Thermal Equilibrium for Certain Stochastic Models of Heat Transport (2015) (8)
- Contrast response in a comprehensive network model of macaque V1 (2020) (7)
- Analysis of a Class of Strange Attractors (1999) (7)
- Self-organization in predominantly feedforward oscillator chains. (2009) (7)
- DNN-assisted statistical analysis of a model of local cortical circuits (2020) (7)
- Nonequilibrium Steady States of Some Simple 1-D Mechanical Chains (2012) (7)
- Polynomial convergence to equilibrium for a system of interacting particles (2016) (6)
- Absolute Continuity of Stable Foliations for Mappings of Banach Spaces (2016) (6)
- Rattling and freezing in a 1D transport model (2010) (5)
- On the application of systems analysis to neurophysiological problems. (1982) (5)
- Nonuniformly Expanding 1 D Maps (2006) (5)
- A data-informed mean-field approach to mapping of cortical parameter landscapes (2021) (5)
- Comparing chaotic and random dynamical systems (2019) (4)
- A case study in the functional consequences of scaling the sizes of realistic cortical models (2019) (4)
- Towards a Mathematical Model of the Brain (2020) (4)
- Reliability of Coupled Oscillators II: Larger Networks (2007) (3)
- Unraveling the mechanisms of surround suppression in early visual processing (2021) (3)
- Reliable and unreliable dynamics in driven coupled oscillators (2006) (3)
- DYNAMICAL SYSTEMS EVOLVING (2019) (3)
- A theory of direction selectivity for macaque primary visual cortex (2021) (3)
- Existence of physical measures in some excitation–inhibition networks (2021) (3)
- Reliability of Coupled Oscillators I: Two-Oscillator Systems (2007) (3)
- Horseshoes of periodically kicked van der Pol oscillators. (2012) (2)
- Three pre-vaccine responses to Covid-like epidemics (2021) (2)
- Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems (2020) (2)
- Geometric and Ergodic Theory of Hyperbolic Dynamical Systems (1998) (2)
- Dynamical systems and turbulence, Warwick Symposium 1980 (1981) (2)
- Malleability of gamma rhythms enhances population-level correlations (2021) (2)
- Simulating brain rhythms using an ODE with stochastically varying coefficients (2020) (2)
- Chaotic heteroclinic networks as models of switching behavior in biological systems. (2022) (1)
- Erratum: Rhythm and synchrony in a cortical network model(Journal of Neuroscience, (2018) 38,40 (8621-8634) 10.1523/JNEUROSCI.0675-18.2018) (2018) (1)
- Sulfide-driven arsenic solubilization from arsenopyrite and pyritic black shale (2007) (1)
- Correlations in population dynamics in multi-component networks (2019) (1)
- Dynamic Signal Tracking in a Simple V1 Spiking Model (2016) (1)
- The evolution of large-scale modeling of monkey primary visual cortex, V1: steps towards understanding cortical function (2019) (1)
- The Use of Reduced Models to Generate Irregular, Broad-Band Signals That Resemble Brain Rhythms (2022) (1)
- Advisor and contributor to: Encyclopedia of nonlinear science (2004) (0)
- Dispersing Billiards with Moving Scatterers (2013) (0)
- O ct 2 00 6 DRAFT-- DRAFT-- DRAFT-- DRAFT-- DRAFT-- Correlations in Nonequilibrium Steady States (2006) (0)
- Entropy, volume growth and SRB measures for Banach space mappings (2016) (0)
- Local Thermal Equilibrium for Certain Stochastic Models of Heat Transport (2016) (0)
- An SIQ delay differential equations model for disease control via isolation (2019) (0)
- Emergent spike patterns in neuronal populations (2014) (0)
- SOME EXAMPLES OF NONUNIFORMLY HYPERBOLIC COCYCLESL (0)
- RIGOROUS RESULTS FOR SOME EXAMPLES OF EXCITATION-INHIBITION NETWORKS (2021) (0)
- SOME EXAMPLES OF NONUNIFORMLY HYPERBOLIC COCYCLES (2005) (0)
- Malleability of gamma rhythms enhances population-level correlations (2021) (0)
- Unraveling the Fourier Law for Hamiltonian Systems (2004) (0)
- A Computational Model of Direction Selectivity in Macaque V1 Cortex Based on Dynamic Differences between On and Off Pathways (2021) (0)
- Nonequilibrium Steady States of Some Simple 1-D Mechanical Chains (2012) (0)
- Communications in Mathematical Physics Nonuniformly Expanding 1 D Maps (2006) (0)
- Unraveling the dynamics of the brain through modeling and analysis (2016) (0)
- Dynamics of spiking neurons: between homogeneity and synchrony (2012) (0)
- D S ] 2 3 M ay 2 00 7 Shear-Induced Chaos (2007) (0)
- A C^2 Kupka-Smale Diffeomorphism of the Disk with no Sources or Sinks: Lecture Notes in Mathematics 898 (1981) (0)
- Lyapunov Exponents and Correlation Decay for Random Perturbations of Some Prototypical 2D Maps (2017) (0)
- Emergent dynamics in a model of visual cortex (2013) (0)
- Generalizations of SRB Measures to Nonautonomous, Random, and Infinite Dimensional Systems (2016) (0)
- Growth and depletion in linear stochastic reaction networks. (2022) (0)
- Existence of Nonequilibrium Steady State for a Simple Model of Heat Conduction (2013) (0)
- How well do reduced models capture the dynamics in models of interacting neurons? (2018) (0)
- FAST COMMUNICATION RELIABILITY OF LAYERED NEURAL OSCILLATOR NETWORKS (2009) (0)
- Absolute Continuity of Stable Foliations for Mappings of Banach Spaces (2017) (0)
- Correlations in Nonequilibrium Steady States (2006) (0)
- Limitations of perturbative techniques in the analysis of rhythms and oscillations (2012) (0)
- Consequences of delays and imperfect implementation of isolation in epidemic control (2019) (0)
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