CV

My current research statement -- PDF, PS.

My current teaching statement -- PDF, PS.

My publication list -- PDF, PS.

Publications

1. R. E. Lee DeVille and Eric Vanden-Eijnden, Self-induced stochastic resonance for Brownian ratchets under load. Communications in Mathematical Sciences, submitted Dec 2006.

2. R. E. Lee DeVille and Eric Vanden-Eijnden, Regularity and synchrony in motor proteins. Bulletin of Mathematical Biology, submitted Sep 2006.

3. R. E. Lee DeVille, Anthony Harkin, Matt Holzer, Krešimir Josić, and Tasso Kaper. Analysis of a Renormalization Group Method for solving perturbed Ordinary Differential Equations. Journal of Mathematical Physics, submitted August 2006.

4. R. E. Lee DeVille and Eric Vanden-Eijnden, Wavetrain response of an excitable medium to local stochastic forcing. Nonlinearity, 20 (2007), 51--74, doi:10.1088/0951-7715/20/1/004.

5. R. E. Lee DeVille and Eric Vanden-Eijnden, Nontrivial scaling limits for multiscale Markov chains. Journal of Statistical Physics, accepted Sep 2006.

6. R. E. Lee DeVille, Cyrill Muratov, and Eric Vanden-Eijnden, Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium. Journal of Chemical Physics, 124 (23): Article 231102, June 21, 2006.

7. R. E. Lee DeVille, Paul Milewski, Ricardo Pignol, Esteban Tabak, and Eric Vanden-Eijnden, Non--equilibrium statistics of a reduced model for energy transfer in waves. Communications on Pure and Applied Mathematics, available on "early view", 60 (2007), no. 3, 439--461.

8. R. E. Lee DeVille, Cyrill Muratov, and Eric Vanden-Eijnden, Two distinct mechanisms of coherence in randomly perturbed dynamical systems. Physical Review E, 72, 031105 (2005) (10 pages).

9. R. E. Lee DeVille and C. Eugene Wayne, Reduced Equations for models of Laminated Materials in Thin Domains.  I. Asymptotic Analysis, 42 (2005) vol. 3--4, 263--309.
10. R. E. Lee DeVille, Reduced Equations for models of Laminated Materials in Thin Domains.  II. Asymptotic Analysis, 42 (2005) vol 3--4, 311--346.
11. R. E. Lee DeVille, Brjuno Numbers and the Symbolic Dynamics of the Complex Exponential. Qualitative Theory of Dynamical Systems, 5 (2004), no. 1, 63--74.
12. R. Bhattacharjee, R. Devaney, R. E. Lee DeVille, K. Josic, and M. Moreno-Rocha. Accessible Points in the Julia Sets of Stable Exponentials. Discrete and Continuous Dynamical Systems. 1 (2001), no. 3, 299--318.
13. R. E. Lee DeVille,   Itineraries of Entire Functions. Journal of Difference Equations and Applications. 7 (2001), no. 2, 193--214.
14. R. E. Lee DeVille,  Reduced Equations for Hyperbolic Problems on Thin Domains , Ph. D. thesis, Boston University, (2001).

Presentations

"Coherence in SPDE",
SIAM meeting on Analysis of PDE, Boston, MA, July 2006.

"Coherence under random perturbations",
PACM Colloquium, Princeton University, April 2006.

"Coherence under random perturbations",
Mathematical Biology Seminar, Univeristy of California, Davis, April 2006.

"Coherence in stochastic dynamical systems -- self-induced stochastic resonance",
Colloquium, Michigan State University, February 2006.

"Coherence under random perturbations",
Mathematical Biology Seminar, Courant Institute, February 2006.

"Coherence in the face of noise -- self-induced stochastic resonance",
Mathematical Sciences Colloquium, Rensselaer Polytechnic Institute, December 2005.

"Coherence in the face of noise -- self-induced stochastic resonance",
Mathematical Biology Seminar, New Jersey Insitute of Technology, November 2005.

"Two mechanisms of coherence in neuron models",
minisymposium on "Synchrony in neuroscience", SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 2005.

"Coherence in the face of noise -- applications to excitable ODE and PDE",
minisymposium on "Extended stochastic dynamical systems", SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 2005.

"Normal forms and long-time asymptotics for a certain class of PDE"
Analysis Seminar, Courant Institute, October 2003.

"Normal forms for Singularly Perturbed ODEs"
Minisymposium on "Neuronal and biological dynamical systems", 5th International Congress on Industrial and Applied Mathematics, Sydney, July 2003.

"Relations between renormalization group methods and normal form methods in nonlinear ODE"
SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 2003.

organized a two-part minisymposium entitled ``Recent Results on the Fermi-Pasta-Ulam Problem"
SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 2003.

"Asymptotics for Differential Equations" (talk for undergraduates)
Math Colloquium, Siena College, March 2003.

"Approximating the Dynamics of Thin Elastic Media"
Mathematics Colloquium, Brown University, February 2003.

"Applications of normal forms to ODEs and PDEs"
Applied Mathematics Colloquium, Rensselaer Polytechnic Institute, February 2003.

"Approximating the Dynamics of Thin Elastic Media"
Mathematics Colloquium, University of Virginia - Charlottesville, November 2002.

"Approximating the Dynamics of Thin Elastic Media"
Mathematical Physics Seminar, University of Texas at Austin, October 2002.

"Approximating the Dynamics of Thin Elastic Media"
PDE Seminar, University of Houston, October 2002.

"Approximating the Dynamics of Thin Elastic Media"
Minisymposium on "Invariant Manifolds", Conference on Dynamical Systems and Differential Equations, University of North Carolina - Wilmington, May 2002.

"Approximating the Dynamics of Thin Elastic Media"
Applied Math and Analysis Workshop, Brown University, May 2002.

"Simplifying Equations for a Thin Plate: Using Infinite-dimensional Hamiltonian Dynamical Systems"
Mathematics Colloquium, Dartmouth College, March 2002.

"Dimensional Reduction of Elasticity Wave Equations"
four lecture series - Nonlinear Dynamics Seminar, Rensselaer Polytechnic Institute, October 2001.

"An Averaging Theorem for PDEs"
Boston University Dynamical Systems Seminar, Boston University, April 2001.

"Dimensional Reduction Algorithm for a Thin Domain."
AMS National Meeting , New Orleans, Louisiana, January 2001.

"Itineraries of the Complex Exponential and the Brjuno Numbers"
Midwest Dynamical Systems Conference, University of Florida, Gainesville, Florida, March 2000.

"Itineraries of the Complex Exponential and the Brjuno Numbers."
Workshop on Hamiltonian Mechanics and Small Divisors in PDEs, International Centre for Mathematical Sciences, Edinburgh, Scotland, May 1999.

"Itineraries of the Complex Exponential"
Boston University Dynamical Systems Seminar, Boston University, May 1999.

Feel free to contact me: deville@cims.nyu.edu

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