Research output

Research output per year 1977 2020

• 97 Article
• 8 Chapter (peer-reviewed)
• 4 Conference contribution
• 3 Review article
• 7 More
  • 2 Book
  • 2 Comment/debate
  • 1 Entry for encyclopedia/dictionary
  • 1 Foreword/postscript
  • 1 Letter

Research output per year

Research output per year

Search results

• 2020

  Contrast response in a comprehensive network model of macaque V1

  Chariker, L., Shapley, R. & Young, L. S., Apr 1 2020, In: Journal of vision. 20, 4, 16.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Macaca
  • Visual Cortex

• Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems

  Tanzi, M. & Young, L. S., Oct 2020, In: Discrete and Continuous Dynamical Systems- Series A. 40, 10, p. 6015-6041 27 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hyperbolic Systems
  • Gradient
  • Pole
  • Invariant Cone
  • SRB Measure

• Towards a Mathematical Model of the Brain

  Young, L. S., Sep 1 2020, In: Journal of Statistical Physics. 180, 1-6, p. 612-629 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonequilibrium Statistical Mechanics
  • Visual Cortex
  • Network Architecture
  • cerebral cortex
  • Complex Dynamical Systems
• 2019

  A case study in the functional consequences of scaling the sizes of realistic cortical models

  Joglekar, M. R., Chariker, L., Shapley, R. & Young, L. S., Jul 2019, In: PLoS computational biology. 15, 7, e1007198.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • case studies
  • Scaling
  • Visual Cortex
  • Neurons
  • Cell Count

• An SIQ delay differential equations model for disease control via isolation

  Ruschel, S., Pereira, T., Yanchuk, S. & Young, L. S., Jul 1 2019, In: Journal Of Mathematical Biology. 79, 1, p. 249-279 31 p.

  Research output: Contribution to journal › Article › peer-review

  • Disease control
  • Curbs
  • differential equation
  • Isolation
  • health services

• Comparing chaotic and random dynamical systems

  Young, L. S., May 1 2019, In: Journal of Mathematical Physics. 60, 5, 052701.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Chaotic Dynamical Systems
  • Random Dynamical Systems
  • dynamical systems
  • Dynamical system
  • Canada

• Consequences of delays and imperfect implementation of isolation in epidemic control

  Young, L. S., Ruschel, S., Yanchuk, S. & Pereira, T., Dec 1 2019, In: Scientific reports. 9, 1, 3505.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Epidemics
  • Reproductive Isolation
  • Disease Outbreaks

• Equivalence of physical and SRB measures in random dynamical systems

  Blumenthal, A. & Young, L. S., Mar 21 2019, In: Nonlinearity. 32, 4, p. 1494-1524 31 p.

  Research output: Contribution to journal › Article › peer-review

  • Space Shuttle Boosters
  • Physical measure
  • SRB Measure
  • Random Dynamical Systems
  • dynamical systems

• How well do reduced models capture the dynamics in models of interacting neurons?

  Li, Y., Chariker, L. & Young, L. S., Jan 15 2019, In: Journal Of Mathematical Biology. 78, 1-2, p. 83-115 33 p.

  Research output: Contribution to journal › Article › peer-review

  • Membrane Potential
  • Reduced Model
  • dynamic models
  • Network Model
  • Neuron

• The evolution of large-scale modeling of monkey primary visual cortex, V1: Steps towards understanding cortical function

  Young, L. S., Tao, L., Shelley, M., Shapley, R., Rangan, A. & Mclaughlin, D. W., 2019, In: Communications in Mathematical Sciences. 17, 5, p. 1387-1406 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Visual Cortex
  • Modeling
  • Model
  • Neuron
  • Neurons
• 2018

  Lyapunov Exponents and Correlation Decay for Random Perturbations of Some Prototypical 2D Maps

  Blumenthal, A., Xue, J. & Young, L. S., Apr 1 2018, In: Communications In Mathematical Physics. 359, 1, p. 347-373 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Random Perturbation
  • Lyapunov Exponent
  • Decay
  • exponents
  • perturbation

• Rhythm and synchrony in a cortical network model

  Chariker, L., Shapley, R. & Young, L. S., Oct 3 2018, In: Journal of Neuroscience. 38, 40, p. 8621-8634 14 p.

  Research output: Contribution to journal › Article › peer-review

  • alpha-Amino-3-hydroxy-5-methyl-4-isoxazolepropionic Acid
  • gamma-Aminobutyric Acid
  • Cerebral Cortex
  • Power (Psychology)
  • Haplorhini
• 2017

  Absolute Continuity of Stable Foliations for Mappings of Banach Spaces

  Blumenthal, A. & Young, L. S., Sep 1 2017, In: Communications In Mathematical Physics. 354, 2, p. 591-619 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Banach space
  • Absolute Continuity
  • continuity
  • Foliation
  • pulse detonation engines

• Entropy, volume growth and SRB measures for Banach space mappings

  Blumenthal, A. & Young, L. S., Feb 1 2017, In: Inventiones Mathematicae. 207, 2, p. 833-893 61 p.

  Research output: Contribution to journal › Article › peer-review

  • SRB Measure
  • Volume Growth
  • Unstable Manifold
  • Entropy
  • Banach space

• Generalizations of SRB Measures to Nonautonomous, Random, and Infinite Dimensional Systems

  Young, L. S., Feb 1 2017, In: Journal of Statistical Physics. 166, 3-4, p. 494-515 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Space Shuttle Boosters
  • SRB Measure
  • Infinite-dimensional Systems
  • dynamical systems
  • Dynamical system

• Lyapunov exponents for random perturbations of some area-preserving maps including the standard map

  Blumenthal, A., Xue, J. & Young, L. S., 2017, In: Annals of Mathematics. 185, 1, p. 285-310 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Lyapunov Exponent
  • Standard Map
  • Random Perturbation
  • Perturbation
  • Geometry

• Polynomial convergence to equilibrium for a system of interacting particles

  Li, Y. & Young, L. S., Feb 2017, In: Annals of Applied Probability. 27, 1, p. 65-90 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Convergence to Equilibrium
  • Particle System
  • Polynomials
  • Kinetic energy
  • Time Constant
• 2016

  Local Thermal Equilibrium for Certain Stochastic Models of Heat Transport

  Li, Y., Nándori, P. & Young, L. S., Apr 1 2016, In: Journal of Statistical Physics. 163, 1, p. 61-91 31 p.

  Research output: Contribution to journal › Article › peer-review

  • Thermal Equilibrium
  • Heat Transport
  • Local Equilibrium
  • Nonequilibrium Steady State
  • Stochastic Model

• Orientation selectivity from very sparse LGN inputs in a comprehensive model of macaque V1 cortex

  Chariker, L., Shapley, R. & Young, L. S., Dec 7 2016, In: Journal of Neuroscience. 36, 49, p. 12368-12384 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Macaca
  • Visual Cortex
  • Haplorhini
• 2015

  Control of epidemics on complex networks: Effectiveness of delayed isolation

  Pereira, T. & Young, L. S., Aug 31 2015, In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 92, 2, 022822.

  Research output: Contribution to journal › Article › peer-review

  • Complex Networks
  • Isolation
  • isolation
  • Vertex of a graph
  • Heterogeneous Networks

• Emergent spike patterns in neuronal populations

  Chariker, L. & Young, L. S., 2015, In: Journal of Computational Neuroscience. 38, 1, p. 203-220 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Population
  • Cluster Analysis
  • Neurons
• 2014

  Nonequilibrium steady states for a class of particle systems

  Li, Y. & Young, L. S., Mar 2014, In: Nonlinearity. 27, 3, p. 607-636 30 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonequilibrium Steady State
  • Particle System
  • Stochastic models
  • Heat Bath
  • Exponential Convergence
• 2013

  Absolute continuity of stable foliations for systems on Banach spaces

  Lian, Z., Young, L. S. & Zeng, C., Jan 1 2013, In: Journal of Differential Equations. 254, 1, p. 283-308 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Banach spaces
  • Invariant Cone
  • Nonautonomous Differential Equations
  • Stable Manifold
  • Absolute Continuity

• Dispersing Billiards with Moving Scatterers

  Stenlund, M., Young, L. S. & Zhang, H., Sep 2013, In: Communications In Mathematical Physics. 322, 3, p. 909-955 47 p.

  Research output: Contribution to journal › Article › peer-review

  • dispersing
  • Billiards
  • scattering
  • Collision
  • dynamical systems

• Dynamical profile of a class of rank-one attractors

  Wang, Q. & Young, L. S., Aug 2013, In: Ergodic Theory and Dynamical Systems. 33, 4, p. 1221-1264 44 p.

  Research output: Contribution to journal › Article › peer-review

  • Strange attractor
  • Chaotic systems
  • Attractor
  • Differential equations
  • Time series

• Dynamics of spiking neurons: Between homogeneity and synchrony

  Rangan, A. V. & Young, L. S., Jun 2013, In: Journal of Computational Neuroscience. 34, 3, p. 433-460 28 p.

  Research output: Contribution to journal › Article › peer-review

  • Population Dynamics
  • Benchmarking
  • Neurons

• Emergent dynamics in a model of visual cortex

  Rangan, A. V. & Young, L. S., Oct 2013, In: Journal of Computational Neuroscience. 35, 2, p. 155-167 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Visual Cortex
  • Neurons
  • Population

• Existence of Nonequilibrium Steady State for a Simple Model of Heat Conduction

  Li, Y. & Young, L. S., Sep 2013, In: Journal of Statistical Physics. 152, 6, p. 1170-1193 24 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonequilibrium Steady State
  • Exponential Convergence
  • Heat Conduction
  • Lebesgue Measure
  • conductive heat transfer

• Limitations of perturbative techniques in the analysis of rhythms and oscillations

  Lin, K. K., Wedgwood, K. C. A., Coombes, S. & Young, L. S., Jan 2013, In: Journal Of Mathematical Biology. 66, 1-2, p. 139-161 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Neurosciences
  • oscillation
  • Oscillation
  • shears
  • Neurons

• Modeling temporal networks using random itineraries

  Barrat, A., Fernandez, B., Lin, K. K. & Young, L. S., Apr 8 2013, In: Physical Review Letters. 110, 15, 158702.

  Research output: Contribution to journal › Article › peer-review

  • random walk
  • phenomenology

• Strange attractors for periodically forced parabolic equations

  Lu, K., Wang, Q. & Young, L. S., Jul 2013, In: Memoirs of the American Mathematical Society. 224, 1054, p. 1-97 97 p.

  Research output: Contribution to journal › Article › peer-review

  • Hopf bifurcation
  • Strange attractor
  • Shearing
  • Partial differential equations
  • Parabolic Equation

• Understanding chaotic dynamical systems

  Young, L. S., Sep 2013, In: Communications on Pure and Applied Mathematics. 66, 9, p. 1439-1463 25 p.

  Research output: Contribution to journal › Article › peer-review
• 2012

  Entropy, Lyapunov exponents and escape rates in open systems

  Demers, M. F., Wright, P. & Young, L. S., Aug 2012, In: Ergodic Theory and Dynamical Systems. 32, 4, p. 1270-1301 32 p.

  Research output: Contribution to journal › Article › peer-review

  • Escape Rate
  • Open Systems
  • Open systems
  • Lyapunov Exponent
  • Entropy

• Horseshoes of periodically kicked van der Pol oscillators

  Ryals, B. & Young, L. S., Oct 4 2012, In: Chaos. 22, 4, 043140.

  Research output: Contribution to journal › Article › peer-review

  • Van Der Pol Oscillator
  • Horseshoe
  • Chaos theory
  • oscillators
  • Geometry

• Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces

  Lian, Z. & Young, L. S., 2012, In: Journal of the American Mathematical Society. 25, 3, p. 637-665 29 p.

  Research output: Contribution to journal › Article › peer-review

• Nonequilibrium Steady States of Some Simple 1-D Mechanical Chains

  Ryals, B. & Young, L. S., Mar 2012, In: Journal of Statistical Physics. 146, 5, p. 1089-1103 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonequilibrium Steady State
  • Chain
  • Energy
  • baths
  • Heat Bath
• 2011

  Lyapunov Exponents, Periodic Orbits and Horseshoes for Mappings of Hilbert Spaces

  Lian, Z. & Young, L. S., Sep 2011, In: Annales Henri Poincare. 12, 6, p. 1081-1108 28 p.

  Research output: Contribution to journal › Article › peer-review

  • Horseshoe
  • pulse detonation engines
  • Infinite Dimensions
  • Hilbert space
  • Borel Measure

• Rattling and freezing in a 1D transport model

  Eckmann, J. P. & Young, L. S., Jan 2011, In: Nonlinearity. 24, 1, p. 207-226 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Freezing
  • freezing
  • baths
  • Open systems
  • Heat conduction
• 2010

  Coupled map networks

  Koiller, J. & Young, L. S., 2010, In: Nonlinearity. 23, 5, p. 1121-1141 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Coupled Maps
  • Network Architecture
  • Expanding Maps
  • Cascade
  • Arbitrary

• Escape rates and physically relevant measures for billiards with small holes

  Demers, M., Wright, P. & Young, L. S., Jan 2010, In: Communications In Mathematical Physics. 294, 2, p. 353-388 36 p.

  Research output: Contribution to journal › Article › peer-review

  • Escape Rate
  • Billiards
  • Limiting Distribution
  • escape
  • Lorentz Gas

• Nonequilibrium steady states for certain Hamiltonian models

  Lin, K. K. & Young, L. S., May 2010, In: Journal of Statistical Physics. 139, 4, p. 630-657 28 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonequilibrium Steady State
  • Prediction
  • Energy Transport
  • Finite Size Effects
  • Heat Bath
• 2009

  Ergodicity and energy distributions for some boundary driven integrable Hamiltonian chains

  Balint, P., Lin, K. K. & Young, L. S., Jan 2009, In: Communications In Mathematical Physics. 294, 1, p. 199-228 30 p.

  Research output: Contribution to journal › Article › peer-review

  • Energy Distribution
  • Heat Bath
  • Ergodicity
  • baths
  • energy distribution

• Memory loss for time-dependent dynamical systems

  Ott, W., Stenlund, M. & Young, L. S., May 2009, In: Mathematical Research Letters. 16, 3, p. 463-475 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Expanding Maps
  • Dynamical system
  • Probability Distribution

• Reliability of coupled oscillators

  Lin, K. K., Shea-Brown, E. & Young, L. S., Oct 2009, In: Journal of Nonlinear Science. 19, 5, p. 497-545 49 p.

  Research output: Contribution to journal › Article › peer-review

  • Coupled Oscillators
  • Chaos theory
  • Feedback
  • Phase Locking
  • Mathematical Analysis

• Reliability of layered neural oscillator networks

  Lin, K. K., Shea-Brown, E. & Young, L. S., 2009, In: Communications in Mathematical Sciences. 7, 1, p. 239-247 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Repeatability
  • Coupled Oscillators
  • Spike
  • Presentation
  • Output

• Self-organization in predominantly feedforward oscillator chains

  Mintchev, S. M. & Young, L. S., 2009, In: Chaos. 19, 4, 043131.

  Research output: Contribution to journal › Article › peer-review

  • Self-organization
  • Feedforward
  • Chain
  • oscillators
  • Feedback

• Spike-time reliability of layered neural oscillator networks

  Lin, K. K., Shea-Brown, E. & Young, L. S., 2009, In: Journal of Computational Neuroscience. 27, 1, p. 135-160 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Neurons
  • Noise
  • Population
• 2008

  Chaotic phenomena in three settings: Large, noisy and out of equilibrium

  Young, L. S., Nov 1 2008, In: Nonlinearity. 21, 11, p. T245-T252

  Research output: Contribution to journal › Article › peer-review

  • Nonequilibrium Steady State
  • Statistical mechanics
  • Flavors
  • Hamiltonians
  • Infinite-dimensional Systems

• Large deviations in non-uniformly hyperbolic dynamical systems

  Rey-Bellet, L. & Young, L. S., Apr 2008, In: Ergodic Theory and Dynamical Systems. 28, 2, p. 587-612 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Large Deviations
  • Dynamical systems
  • Lorentz Gas
  • Dynamical system
  • Ergodic Averages

• Shear-induced chaos

  Lin, K. K. & Young, L. S., May 1 2008, In: Nonlinearity. 21, 5, p. 899-922 24 p.

  Research output: Contribution to journal › Article › peer-review

  • White noise
  • Chaos theory
  • Forcing
  • Chaos
  • chaos