Kevin K Lin

22. K K Lin and J Mattingly, "Sensitivity analysis for stochastic differential equations via couplings", in preparation (2013)
    

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

20. 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", to appear in Hippocampus (2013)
    

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

18. 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
    
    [ published version ] [ preprint ]

17. G Lajoie, K K Lin, and E Shea-Brown, "Chaos and reliability in balanced spiking networks with temporal drive", Phys. Rev. E 87 (2013)
    
    [ published version ] [ preprint ]

16. 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)
    
    [ published version ] [ preprint ]

15. K K Lin and L-S Young, "Dynamics of periodically-kicked oscillators", Journal of Fixed Point Theory and Applications 7 (2010) pp. 291--312
    
    [ published version ] [ preprint ]

14. K K Lin and L-S Young, "Nonequilibrium steady states for certain Hamiltonian models", J. Stat. Phys. 139 (2010) pp. 630--657
    
    [ published version ] [ preprint ]

13. 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
    
    [ published version ] [ preprint ]

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
    
    [ preprint ] [ published version ]

11. K K Lin, E Shea-Brown, and L-S Young, "Reliability of coupled oscillators", J. Nonlin. Sci. 19 (2009) pp. 497--545
    
    [ published version ] [ Part I preprint ] [ Part II preprint ]

10. 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
    
    [ published version ] [ preprint ]

9. K K Lin and J Goodman, "Coupling control variates in dynamic Monte Carlo", J. Computat. Phys. 228 (2009) pp. 7127--7136
   
   [ published version ] [ preprint ]

8. 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"
   
   [ published version ] [ preprint ]

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

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

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

4. K K Lin, "Convergence of invariant densities in the small-noise limit", Nonlinearity 18 (2005) pp. 659--683
   
   [ published version ] [ preprint ]

3. 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
   
   [ published version ] [ preprint ]

2. K K Lin, "Numerical study of quantum resonances in chaotic scattering", J. Computat. Phys. 176 (2002) pp. 295--329
   
   [ published version ] [ preprint ]

1. K K Lin and M Zworski, "Quantum resonances in chaotic scattering", Chem. Phys. Lett. 355 (2002) pp. 201--205
   
   [ published version ] [ preprint ]

3. 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, P Kloeden and C Poetzsche, eds. (2012)
   Invited review article
   

1. 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.)
   
   [ published version ]

• 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
  

• 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", to appear in Hippocampus (2013)
  

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

• 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
  
  [ published version ] [ preprint ]

• G Lajoie, K K Lin, and E Shea-Brown, "Chaos and reliability in balanced spiking networks with temporal drive", Phys. Rev. E 87 (2013)
  
  [ published version ] [ preprint ]

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

• 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.)
  
  [ published version ]

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

• K K Lin, E Shea-Brown, and L-S Young, "Reliability of coupled oscillators", J. Nonlin. Sci. 19 (2009) pp. 497--545
  
  [ published version ] [ Part I preprint ] [ Part II preprint ]

• 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
  
  [ published version ] [ preprint ]

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

• K K Lin and L-S Young, "Nonequilibrium steady states for certain Hamiltonian models", J. Stat. Phys. 139 (2010) pp. 630--657
  
  [ published version ] [ preprint ]

• 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
  
  [ published version ] [ preprint ]

• K K Lin and J Goodman, "Coupling control variates in dynamic Monte Carlo", J. Computat. Phys. 228 (2009) pp. 7127--7136
  
  [ published version ] [ preprint ]

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

• K K Lin and J Mattingly, "Sensitivity analysis for stochastic differential equations via couplings", in preparation (2013)
  

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

• K K Lin and J Goodman, "Coupling control variates in dynamic Monte Carlo", J. Computat. Phys. 228 (2009) pp. 7127--7136
  
  [ published version ] [ preprint ]

• K K Lin, "Random perturbations of SRB measures and numerical studies of chaotic dynamics", LBNL Technical Report 53522 (2003)
  (PhD thesis in Mathematics)
  
  [ Abstract ]

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

• 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
  
  [ published version ] [ preprint ]

• K K Lin and L-S Young, "Dynamics of periodically-kicked oscillators", Journal of Fixed Point Theory and Applications 7 (2010) pp. 291--312
  
  [ published version ] [ preprint ]

• 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"
  
  [ published version ] [ preprint ]

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

• K K Lin, "Convergence of invariant densities in the small-noise limit", Nonlinearity 18 (2005) pp. 659--683
  
  [ published version ] [ preprint ]

• 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
  
  [ published version ] [ preprint ]

• K K Lin, "Numerical study of quantum resonances in chaotic scattering", J. Computat. Phys. 176 (2002) pp. 295--329
  
  [ published version ] [ preprint ]

• K K Lin and M Zworski, "Quantum resonances in chaotic scattering", Chem. Phys. Lett. 355 (2002) pp. 201--205
  
  [ published version ] [ preprint ]

• K K Lin, "Random perturbations of SRB measures and numerical studies of chaotic dynamics", LBNL Technical Report 53522 (2003)
  (PhD thesis in Mathematics)
  
  [ Abstract ]

• K K Lin, "Coordinate-independent computations on differential equations", MIT AI Tech Memo 1631 (1997)
  (MEng thesis in Computer Science and Engineering)
  
  [ Abstract ]

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.