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

  1. "Quantitative fluctuation analysis of multiscale diffusion systems via Malliavin calculus", (with Solesne Bourguin), Stochastic Processed and their Applications, 2024, [ArXiv preprint], to appear
  2. "Moderate deviations for fully-coupled multiscale weakly interacting particle systems", (with Zachary Bezemek), Stochastics and Partial Differential Equations: Analysis and Computations, Volume 12, 2024, pp. 1265-1373, [ArXiv preprint].
  3. "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].
  4. "Large deviations for interacting multiscale particle systems", (with Zachary Bezemek), Stochastic Processed and their Applications , Volume 155, January 2023, Pages 27-108, [ArXiv preprint].
  5. "Rate of homogenization for fully-coupled McKean-Vlasov SDEs", (with Zachary Bezemek), Stochastics and Dynamics, Vol. 23, No. 02, 2350013 (2023), [ArXiv preprint].
  6. "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].
  7. "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].
  8. "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].
  9. "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].
  10. "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].
  11. "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].
  12. "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]
  13. "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].
  14. "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].
  15. "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]
  16. "Scaling Limits and Exit Law for Multiscale Diffusions", (with Sergio A. Almada), 2014, Asymptotic Analysis, Volume 87, pp. 65-90, [ArXiv preprint].
  17. "Fluctuation analysis and short time asymptotics for multiple scales diffusion processes", 2014, Stochastics and Dynamics, Vol. 14, No.3, pp. 1350026 [ArXiv preprint].
  18. "Large Deviations and Importance Sampling for Systems of Slow-Fast Motion", 2013, Applied Mathematics and Optimization, Vol. 67, pp. 123-161, [ArXiv preprint]
  19. "Large Deviations for Multiscale Diffusions via Weak Convergence Methods", (with Paul Dupuis), 2012, Stochastic Processes and Their Applications, 122, pp. 1947-1987, [ArXiv preprint].
  20. "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]
  21. "Wiener Process with Reflection in Nonsmooth Narrow Tubes", 2009, Electronic Journal of Probability, Vol. 14, Paper no. 69, pp. 2011-2037 article in pdf
  22. "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
  23. "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