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Mathematics

D-Index
32
Citations
5494
World Ranking
3149
National Ranking
1262

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Mark Freidlin is affiliated with the University of Maryland, College Park in the United States. Their research primarily focuses on advanced mathematical modeling, differential equations, and stability analysis within mathematics.

The main fields of study for this researcher include:

  • Mathematics

They have contributed notably to several subfields such as:

  • Computational Theory and Mathematics
  • Numerical Analysis
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Control and Systems Engineering

Key research topics covered in their work encompass:

  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Numerical Methods
  • Stability and Controllability of Differential Equations
  • Stochastic processes and statistical mechanics
  • Quantum chaos and dynamical systems
  • Differential Equations and Boundary Problems
  • Nonlinear Partial Differential Equations

Mark Freidlin has published extensively, with recent papers including:

  • "Averaging in the case of multiple invariant measures for the fast system" (2021) in Electronic Journal of Probability
  • "Long Time Influence of Small Perturbations and Motion on the Simplex of Invariant Probability Measures" (2020) in arXiv (Cornell University)
  • "Perturbations of parabolic equations and diffusion processes with degeneration: Boundary problems, metastability, and homogenization" (2023) in The Annals of Probability
  • "Diffusion Approximation for Noise-Induced Evolution of First Integrals in Multifrequency Systems" (2021) in Journal of Statistical Physics
  • "Asymptotics in the Dirichlet problem for second order elliptic equations with degeneration on the boundary" (2022) in Journal of Differential Equations

Frequent co-authors collaborating with Mark Freidlin include:

  • Leonid Koralov
  • H. Stepp
  • Alyssa V. Eade
  • Carolina M. Larrain
  • Jack H. Victory

Their work has appeared regularly in several publication venues:

  • arXiv (Cornell University)
  • Journal of Statistical Physics
  • Journal of Differential Equations
  • Electronic Journal of Probability
  • The Annals of Probability

Mark Freidlin was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Functional Integration and Partial Differential Equations. (AM-109), Volume 109

    Mark Iosifovich Freidlin

  • ON SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS

    A D Ventsel;M I Freidlin

  • Diffusion Processes on Graphs and the Averaging Principle

    Mark I. Freidlin;Alexander D. Wentzell

  • Averaging principle for a class of stochastic reaction-diffusion equations

    Sandra Cerrai;Mark Freidlin

  • Markov Processes and Differential Equations: Asymptotic Problems

    Mark Freidlin

  • Limit Theorems for Large Deviations and Reaction-Diffusion Equations

    Mark Freidlin

  • Random perturbations of Hamiltonian systems

    Mark I. Freidlin;Alexander D. Wentzell

  • Some Remarks on the Smoluchowski–Kramers Approximation

    Mark Freidlin

  • THE AVERAGING PRINCIPLE AND THEOREMS ON LARGE DEVIATIONS

    M I Freidlin

  • Random perturbations of reaction-diffusion equations: the quasi-deterministic approximation

    Mark I. Freidlin

  • Diffusion processes on graphs: stochastic differential equations, large deviation principle

    Mark Freidlin;Shuenn-Jyi Sheu

  • On Stable Oscillations and Equilibriums Induced by Small Noise

    Mark I. Freidlin

  • A comparison of homogenization and large deviations, with applications to wavefront propagation

    Mark I. Freidlin;Richard B. Sowers

  • Random perturbations of nonlinear oscillators

    Mark Freidlin;Matthias Weber

  • On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom

    Sandra Cerrai;Mark Freidlin

  • Random perturbations of dynamical systems and diffusion processes with conservation laws

    Mark Freidlin;Matthias Weber

  • On stochastic behavior of perturbed Hamiltonian systems

    Michael Brin;Mark Freidlin

  • Diffusion processes on an open book and the averaging principle

    M.I Freidlin;A.D Wentzell

  • Long-Time Behavior of Weakly Coupled Oscillators

    M. I. Freidlin;A. D. Wentzell

  • Gaussian Perturbations of Dynamical Systems. Neighborhood of an Equilibrium Point

    Mark I. Freidlin;Alexander D. Wentzell

  • Markov processes and differential equations

    Mark Freidlin

Frequent Co-Authors

Vladimir Maz'ya
Vladimir Maz'ya Linköping University
Peter Kuchment
Peter Kuchment Texas A&M University
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Zdzisław Brzeźniak
Zdzisław Brzeźniak University of York
Hans F. Weinberger
Hans F. Weinberger University of Minnesota
Alexander Komech
Alexander Komech University of Vienna

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