Kevin K Lin

Refereed publications

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

Refereed publications

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

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

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

  4. 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

  5. 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

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

  7. 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)

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

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

  10. 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

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

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

  13. 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

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

  15. 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"

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

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

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

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

  20. 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

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

  22. 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 (under grant DMS-0907927 and a Mathematical Sciences Postdoctoral Fellowship), 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 March 18, 2013.