Kevin K Lin
Here are my papers, organized roughly by subject. I have posted some talk slides here.
Networks of (biological) dynamical systems
- Spike-time
reliability of layered neural oscillator
networks
(with Eric
Shea-Brown
and Lai-Sang
Young), J. Comp.
Neurosci.
27 (2009)
pp. 135-160
Published version: doi:10.1007/s10827-008-0133-3
- Reliability
of layered neural oscillator networks
(with Eric
Shea-Brown
and Lai-Sang
Young), Comm.
Math. Sci. 7 (2009) pp. 239-247
- Reliability of coupled oscillators
(with Eric
Shea-Brown
and Lai-Sang
Young), J.
Nonlin. Sci.
19 (2009) pp. 497-545
[ Download Part
I ]
[ Download Part
II ]
[ published version: doi:10.1007/s00332-009-9042-5 ]
- Reliable
and unreliable dynamics in driven coupled
oscillators,
arXiv:nlin/0608021v1
(2006)
- Propagating coalitions in networks of
nonlinear oscillators
(with F. Hoppensteadt),
Sci. Math. Japon. 64 (2006) pp. 779-784
Dynamical systems in statistical and quantum mechanics
- NEW: Ergodicity
and energy distributions for some boundary driven
integrable Hamiltonian chains
(with Peter
Balint
and Lai-Sang
Young), to appear
in Comm.
Math. Phys. (2009)
Published version: doi:10.1007/s00220-009-0918-x
- Coupling
control variates for Markov chain Monte Carlo
(with Jonathan
Goodman),
in J.
Comp. Phys. 228 (2009) pp. 7127-7136
Published version: doi:10.1016/j.jcp.2009.03.043
- Correlations in
nonequilibrium steady states of random-halves models
(with Lai-Sang Young),
J.
Stat. Phys. 128 (2007) pp. 607-639
Published version: doi:10.1007/s10955-007-9318-9
- The
Selberg zeta function for convex co-compact Schottky
groups
(with Laurent
Guilllopé
and Maciej
Zworski), Comm.
Math. Phys.
245 (2004) pp. 149-176
- Numerical
study of quantum resonances in chaotic
scattering, J.
Comp. Phys. 176 (2002) pp. 295-329
- Quantum resonances in chaotic
scattering
(with Maciej
Zworski), Chem.
Phys. Lett. 355 (2002) pp. 201-205.
Numerical studies of chaotic dynamics
- Shear-induced
chaos
(with Lai-Sang
Young),
Nonlinearity
21 (2008) pp. 899-922
(This paper was selected as a "high-profile article of 2008" by Nonlinearity) - Entrainment
and chaos in a pulse-driven Hodgkin-Huxley
oscillator, SIAM J.
Appl. Dyn. Sys. 5 (2006)
pp. 179-204
- Convergence
of invariant densities in the small-noise
limit, Nonlinearity 18
(2005) pp. 659-683
Computational methods for dynamical systems
- Random perturbations of
SRB measures and numerical studies of chaotic
dynamics, LBL Technical
Report 53522 (2003).
My PhD thesis, supervised
by Alexandre
Chorin.
- Coordinate-independent
computations on differential
equations, MIT AI Technical
Memo 1631 (1997).
My Master's thesis
in Computer Science,
supervised
by Gerald
Jay Sussman.
Recent collaborators: Peter Balint, Jonathan Goodman, Frank Hoppensteadt, Eric Shea-Brown, Lai-Sang Young.