Kevin K Lin

Research papers

Review articles, extended abstracts, etc.

Dynamics of neurons and neuronal networks
Nonequilibrium steady-states
Monte Carlo methods and applications
Shear-induced chaos
Scaling laws and chaotic dynamics
Theses

Research papers

  1. K K Lin and J Mattingly, "Sensitivity analysis for stochastic differential equations via couplings", in preparation (2014)

  2. J Goodman, K K Lin, and M Morzfeld, "Small-noise analysis and symmetrization of implicit Monte Carlo samplers", submitted (2014)

  3. G Hooker, K K Lin, and B Rogers, "Control theory and experimental design in diffusion processes", submitted (2013)
    [ preprint ]

  4. K C A Wedgwood, K K Lin, R Thul, and S Coombes, "Phase-amplitude descriptions of neural oscillator models", J. Math. Neurosci. 3 (2013)

  5. D Lyttle, B Gereke, K K Lin, and J-M Fellous, "Spatial scale and place field stability in a grid-to-place cell model of the dorsoventral axis of the hippocampus", Hippocampus 23 (2013) pp. 729--744

  6. K K Lin, K C A Wedgwood, S Coombes, and L-S Young, "Limitations of perturbative techniques in the analysis of rhythms and oscillations", J. Math. Biol. 66 (2013) pp. 139--161

  7. G Lajoie, K K Lin, and E Shea-Brown, "Chaos and reliability in balanced spiking networks with temporal drive", Phys. Rev. E 87 (2013)

  8. A Barrat, B Fernandez, K K Lin, and L-S Young, "Modeling temporal networks using random itineraries", Phys. Rev. Lett. 110 (2013)
    (article no 158702)

  9. K K Lin and L-S Young, "Dynamics of periodically-kicked oscillators", Journal of Fixed Point Theory and Applications 7 (2010) pp. 291--312

  10. K K Lin and L-S Young, "Nonequilibrium steady states for certain Hamiltonian models", J. Stat. Phys. 139 (2010) pp. 630--657

  11. P Balint, K K Lin, and L-S Young, "Ergodicity and energy distributions for some boundary driven integrable Hamiltonian chains", Commun. Math. Phys. 294 (2010) pp. 199--228

  12. K K Lin, E Shea-Brown, and L-S Young, "Reliability of layered neural oscillator networks", Commun. Math. Sci. 7 (2009) pp. 239--247

  13. K K Lin, E Shea-Brown, and L-S Young, "Reliability of coupled oscillators", J. Nonlin. Sci. 19 (2009) pp. 497--545

  14. K K Lin, E Shea-Brown, and L-S Young, "Spike-time reliability of layered neural oscillator networks", J. Computat. Neurosci. 27 (2009) pp. 135--160

  15. K K Lin and J Goodman, "Coupling control variates in dynamic Monte Carlo", J. Computat. Phys. 228 (2009) pp. 7127--7136

  16. K K Lin and L-S Young, "Shear-induced chaos", Nonlinearity 21 (2008) pp. 899--922
    This was one of Nonlinearity's "high profile articles of 2008"

  17. K K Lin and L-S Young, "Correlations in nonequilibrium steady-states of random-halves models", J. Stat. Phys. 128 (2007) pp. 607--639

  18. K K Lin, "Entrainment and chaos in a pulse-driven Hodgkin-Huxley oscillator", SIAM J. Applied Dyn. Sys. 5 (2006) pp. 179--204

  19. F Hoppensteadt and K K Lin, "Propagating coalitions in networks of nonlinear oscillators", Sci. Math. Jap. 64 (2006) pp. 779--784

  20. K K Lin, "Convergence of invariant densities in the small-noise limit", Nonlinearity 18 (2005) pp. 659--683

  21. L Guillopé, K K Lin, and M Zworski, "The Selberg zeta function for convex co-compact Schottky groups", Commun. Math. Phys. 245 (2004) pp. 149--176

  22. K K Lin, "Numerical study of quantum resonances in chaotic scattering", J. Computat. Phys. 176 (2002) pp. 295--329

  23. K K Lin and M Zworski, "Quantum resonances in chaotic scattering", Chem. Phys. Lett. 355 (2002) pp. 201--205


Review articles, extended abstracts, etc.

  1. K K Lin, "Spike-time reliability of layered neural oscillator networks", Proceedings of the 12th Granada Seminar (2013)
    Extended abstract from the 12th Granada Seminar on Computational and Statistical Physics: Physics, Computation, and the Mind - Advances and Challenges at Interfaces

  2. K K Lin, "Stimulus-response reliability of biological networks", Nonautonomous and Random Dynamical Systems in Life Sciences (2012)
    Invited review article in collection edited by P Kloeden and C Poetzsche.

  3. K K Lin, "Reliable and unreliable behavior in oscillator networks", Oberwolfach Reports 8 (2011) pp. 2293--2295
    (This is an extended abstract from a mini-workshop in August 2011.)

Dynamics of neurons and neuronal networks

Nonequilibrium steady-states

Monte Carlo methods and applications

Shear-induced chaos

Scaling laws and chaotic dynamics

Theses

The work described above have been supported by the National Science Foundation, the Fannie and John Hertz Foundation, the LBL Math Department and NERSC, and Project MAC.

Collaborators: Peter Balint, Alain Barrat, Steve Coombes, Jean-Marc Fellous, Bastien Fernandez, Jonathan Goodman, Laurent Guilllopé, Giles Hooker, Frank Hoppensteadt, Guillaume Lajoie, David Lyttle, Jonathan Mattingly, Bruce Rogers, Eric Shea-Brown, Rüdiger Thul, Kyle Wedgwood, Lai-Sang Young, and Maciej Zworski.

This page was last updated on July 22, 2014.