Homogenization, Large Deviations and Metastability for Stochastic Dynamical Systems (SDEs, SPDEs, Interacting Particle Systems)

  1. "Moderate deviations for fully-coupled multiscale weakly interacting particle systems", (with Zachary Bezemek), Stochastics and Partial Differential Equations: Analysis and Computations, (2023), [ArXiv preprint], to appear.
  2. "Moderate deviation principle for multiscale systems driven by fractional Brownian motion", (with Solesne Bourguin and Thanh Dang), Journal of Theoretical Probability, 36, Article number: 1 (2023), [ArXiv preprint].
  3. "Large deviations for interacting multiscale particle systems", (with Zachary Bezemek), Stochastic Processed and their Applications , Volume 155, January 2023, Pages 27-108, [ArXiv preprint].
  4. "Rate of homogenization for fully-coupled McKean-Vlasov SDEs", (with Zachary Bezemek), Stochastics and Dynamics, Vol. 23, No. 02, 2350013 (2023), [ArXiv preprint].
  5. "Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations", (with Ioannis Gasteratos and Mickey Salins), Stochastics and Partial Differential Equations: Analysis and Computations, (2023), Vol.11, pp. 503–598. [ArXiv preprint].
  6. "Metastability and exit problems for systems of stochastic reaction-diffusion equations", (with Michael Salins), 2021, Annals of Probability , Vol. 49, No. 5, pp. 2317–2370, [ArXiv preprint].
  7. "Typical dynamics and fluctuation analysis of slow-fast systems driven by fractional Brownian motion", (with Solesne Bourguin and Siragan Gailus), 2021, Stochastics and Dynamics, Vol. 21, No. 07, 2150030, [ArXiv preprint].
  8. "Selection of quasi-stationary states in the stochastically forced Navier-Stokes equation on the torus", (with Margaret Beck, Eric Cooper and Gabriel Lord), 2020, Journal of Nonlinear Science , Volume 30, pp. 1677–1702, [ArXiv preprint].
  9. "Large deviations and averaging for systems of slow--fast stochastic reaction--diffusion equations", (with Wenqing Hu and Michael Salins), 2019, Stochastics and Partial Differential Equations: Analysis and Computations, Vol. 7, Issue 4, pp. 808-?874, [ArXiv preprint].
  10. "Selection of quasi-stationary states in the Navier-Stokes equation on the torus", (with Margaret Beck and Eric Cooper), 2019, Nonlinearity , Vol. 32, pp. 209--237, [ArXiv preprint].
  11. "Hypoelliptic multiscale Langevin diffusions: Large deviations, invariant measures and small mass asymptotics", (with Wenqing Hu), 2017, Electronic Journal of Probability, Vol. 22 (2017), paper no. 55, pp. 1-38, [ArXiv preprint]
  12. "Moderate deviations principle for systems of slow-fast diffusions", (with Matthew R. Morse), 2017, Asymptotic Analysis, Vol. 105, No. 3-4, pp. 97-135, [ArXiv preprint].
  13. "Markov processes with spatial delay: path space characterization, occupation time and properties", (with Michael Salins), 2017, Stochastics and Dynamics , Vol. 17, No. 6, 1750042 (21 pages), [ArXiv preprint].
  14. "Quenched Large Deviations for Multiscale Diffusion Processes in Random Environments", 2015, Electronic Journal of Probability, Vol. 20, (2015), no. 15, pp. 1-29, [ArXiv preprint]
  15. "Scaling Limits and Exit Law for Multiscale Diffusions", (with Sergio A. Almada), 2014, Asymptotic Analysis, Volume 87, pp. 65-90, [ArXiv preprint].
  16. "Fluctuation analysis and short time asymptotics for multiple scales diffusion processes", 2014, Stochastics and Dynamics, Vol. 14, No.3, pp. 1350026 [ArXiv preprint].
  17. "Large Deviations and Importance Sampling for Systems of Slow-Fast Motion", 2013, Applied Mathematics and Optimization, Vol. 67, pp. 123-161, [ArXiv preprint]
  18. "Large Deviations for Multiscale Diffusions via Weak Convergence Methods", (with Paul Dupuis), 2012, Stochastic Processes and Their Applications, 122, pp. 1947-1987, [ArXiv preprint].
  19. "Large Deviations Principle for a Large Class of One-Dimensional Homogeneous Strong Markov Processes", 2012, Journal of Theoretical Probability, Volume 25, Issue 4, pp. 925-949, [ArXiv preprint]
  20. "Wiener Process with Reflection in Nonsmooth Narrow Tubes", 2009, Electronic Journal of Probability, Vol. 14, Paper no. 69, pp. 2011-2037 article in pdf
  21. "Reaction Diffusion Equations with Non-Linear Boundary Conditions in Narrow Domains", (with Mark Freidlin), 2008, Asymptotic Analysis, Volume 59, Number 3-4, pp.227-249 article in pdf
  22. "A note on the Smoluchowski- Kramers approximation for the Langevin equation with reflection", 2007, Stochastics and Dynamics, Vol. 7, No. 2, pp. 141-153 : article in pdf