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## Freidlin, Mark I.

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 Author ID: freidlin.mark-i Published as: Freidlin, M.; Freidlin, M. I.; Freidlin, Mark; Freidlin, Mark I.; Freidlin, Mark Jiosefowitsch; Frejdlin, M. I.; Freĭdlin, M. I. Homepage: https://www-math.umd.edu/people/item/306-mif.html External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 163 Publications since 1961, including 10 Books Biographic References: 1 Publication
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#### Co-Authors

 69 single-authored 23 Wentzell, Alexander Dmitrievich 11 Cerrai, Sandra 10 Koralov, Leonid B. 8 Weber, Matthias 7 Hu, Wenqing 4 Eizenberg, Alexander 3 Gärtner, Jürgen 2 Komech, Aleksandr I. 2 Lee, Tzong-Yow 2 Pfeiffer, Ruth M. 2 Sarafyan, R. G. 2 Sarafyan, V. V. 2 Sowers, Richard B. 1 Athreya, Avanti 1 Azencott, Robert 1 Bajer, D. 1 Blagoveshchenskiĭ, Yuriĭ Nikolaevich 1 Borodin, Andreĭ Nikolaevich 1 Brin, Michael 1 Brzeźniak, Zdzisław 1 Carmona, Sara C. 1 Chen, Zhiwei 1 Dolgopyat, Dmitry 1 Dunyak, James P. 1 Dynkin, Evgeniĭ Borisovich 1 Egorov, Yuriĭ Vladimirovich 1 Freidlina, V. L. 1 Frejdlina, V. L. 1 Gredeskul, Sergey A. 1 Hunter, John K. 1 Kolgomorov, A. N. 1 Korostelev, Alexander P. 1 Korostylev, A. P. 1 Kuchment, Peter A. 1 Lakshtanov, Evgeny L. 1 Marchenko, Andrew 1 Maz’ya, Vladimir Gilelevich 1 Molchanov, Stanislav Alekseevich 1 Novikov, Roman G. 1 Pastur, Leonid Andreevich 1 Polyak, Boris Teodorovich 1 Ren, Huaizhong 1 Salins, Michael 1 Sheu, Shuenn-Jyi 1 Spiliopoulos, Konstantinos V. 1 Tutubalin, Valeriĭ Nikolaevich 1 Varadhan, S. R. Srinivasa 1 Weinberger, Hans Felix 1 Zivogljadova, L. V.
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#### Serials

 16 Journal of Statistical Physics 14 Soviet Mathematics. Doklady 13 Probability Theory and Related Fields 9 Theory of Probability and its Applications 8 The Annals of Probability 8 Stochastics and Dynamics 7 Russian Mathematical Surveys 7 Uspekhi Matematicheskikh Nauk [N. S.] 6 Teoriya Veroyatnosteĭ i eë Primeneniya 5 Stochastic Processes and their Applications 4 Transactions of the American Mathematical Society 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Grundlehren der Mathematischen Wissenschaften 2 Moscow University Mathematics Bulletin 2 Nonlinearity 2 Journal of Differential Equations 2 Ergodic Theory and Dynamical Systems 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Matematicheskie Zametki 1 Problems of Information Transmission 1 Functional Analysis and its Applications 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Memoirs of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Physica D 1 Asymptotic Analysis 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 Mathematics of the USSR, Sbornik 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Wissenschaftliche Zeitschrift der Technischen Universität Dresden 1 Stochastics and Stochastics Reports 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Mathematical Problems in Engineering 1 Journal of Evolution Equations 1 Annals of Mathematics Studies 1 Progress in Probability 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 114 Probability theory and stochastic processes (60-XX) 65 Partial differential equations (35-XX) 29 Ordinary differential equations (34-XX) 17 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of particles and systems (70-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Fluid mechanics (76-XX) 5 Systems theory; control (93-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

117 Publications have been cited 2,438 times in 1,743 Documents Cited by Year
Random perturbations of dynamical systems. Transl. from the Russian by Joseph Szücs. Zbl 0522.60055
Freidlin, M. I.; Wentzell, A. D.
1984
Random perturbations of dynamical systems. Transl. from the Russian by Joseph Szuecs. 2nd ed. Zbl 0922.60006
Freidlin, M. I.; Wentzell, A. D.
1998
Functional integration and partial differential equations. Zbl 0568.60057
Freidlin, Mark
1985
Random perturbations of dynamical systems. Translated from the Russian by J Szücs. 3rd ed. Zbl 1267.60004
Freidlin, Mark I.; Wentzell, Alexander D.
2012
On small random perturbations of dynamical systems. Zbl 0297.34053
Ventcel’, A. D.; Freidlin, M. I.
1970
Diffusion processes on graphs and the averaging principle. Zbl 0795.60042
Freidlin, Mark I.; Wentzell, Alexander D.
1993
On the propagation of concentration waves in periodic and random media. Zbl 0447.60060
Gärtner, Jürgen; Frejdlin, M. I.
1979
Averaging principle for a class of stochastic reaction-diffusion equations. Zbl 1176.60049
Cerrai, Sandra; Freidlin, Mark
2009
Random perturbations of Hamiltonian systems. Zbl 0804.60070
Freidlin, Mark I.; Wentzell, Alexander D.
1994
Some remarks on the Smoluchowski-Kramers approximation. Zbl 1113.82055
Freidlin, Mark
2004
Limit theorems for large deviations and reaction-diffusion equations. Zbl 0576.60070
Freidlin, Mark
1985
Random perturbations of reaction-diffusion equations: The quasi- deterministic approximation. Zbl 0673.35049
Freidlin, Mark I.
1988
Markov processes and differential equations: asymptotic problems. Zbl 0863.60049
Freidlin, Mark
1996
Quasi-deterministic approximation, metastability and stochastic resonance. Zbl 0955.60064
Freidlin, Mark I.
2000
Diffusion processes on graphs: Stochastic differential equations, large deviation principle. Zbl 0957.60088
Freidlin, Mark; Sheu, Shuenn-Jyi
2000
On stochastic behavior of perturbed Hamiltonian systems. Zbl 0997.37020
Brin, Michael; Freidlin, Mark
2000
Random perturbations of nonlinear oscillators. Zbl 0935.60038
Freidlin, Mark; Weber, Matthias
1998
Diffusion processes on an open book and the averaging principle. Zbl 1075.60100
Freidlin, M. I.; Wentzell, A. D.
2004
Long-time behavior of weakly coupled oscillators. Zbl 1119.34044
Freidlin, M. I.; Wentzell, A. D.
2006
On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom. Zbl 1093.60036
Cerrai, Sandra; Freidlin, Mark
2006
A comparison of homogenization and large deviations, with applications to wavefront propagation. Zbl 0996.60035
Freidlin, Mark I.; Sowers, Richard B.
1999
On stable oscillations and equilibriums induced by small noise. Zbl 1019.82008
Freidlin, Mark I.
2001
On the factorization of non-negative definite matrices. Zbl 0169.20603
Freidlin, M. I.
1968
Geometric optics approach to reaction-diffusion equations. Zbl 0626.35047
Freidlin, M. I.
1986
The averaging principle and theorems on large deviations. Zbl 0416.60029
Frejdlin, M. I.
1978
Dirichlet’s problem for an equation with periodic coefficients depending on a small parameter. Zbl 0138.11602
Freidlin, M. I.
1964
Smoluchowski-Kramers approximation for a general class of SPDEs. Zbl 1119.35127
Cerrai, Sandra; Freidlin, Mark
2006
On the Dirichlet problem for a class of second order PDE systems with small parameter. Zbl 0723.60095
Eizenberg, Alexander; Freidlin, Mark
1990
Random perturbations of dynamical systems and diffusion processes with conservation laws. Zbl 1044.60044
Freidlin, Mark; Weber, Matthias
2004
Averaging principle for stochastic perturbations of multifrequency systems. Zbl 1050.60078
Freidlin, M. I.; Wentzell, A. D.
2003
Coupled reaction-diffusion equations. Zbl 0724.60086
Freidlin, Mark
1991
Wave front propagation for KPP-type equations. Zbl 0848.60065
Freidlin, Mark
1995
Sublimiting distributions and stabilization of solutions of parabolic equations with a small parameter. Zbl 0381.35006
Freidlin, M. I.
1977
Smoluchowski-Kramers approximation in the case of variable friction. Zbl 1291.60118
Freidlin, M.; Hu, W.
2011
Fast oscillating random perturbations of dynamical systems with conservation laws. Zbl 0831.60066
Borodin, A. N.; Freidlin, M. I.
1995
Large deviations for Markov processes corresponding to PDE systems. Zbl 0776.60037
Eizenberg, Alexander; Freidlin, Mark
1993
On wavefront propagation in periodic media. Zbl 0549.60054
Freidlin, Mark I.
1984
Smoluchowski-Kramers approximation and exit problems. Zbl 1083.60018
Chen, Zhiwei; Freidlin, Mark
2005
Reaction-diffusion in incompressible fluid: asymptotic problems. Zbl 1043.35079
Freidlin, Mark
2002
A remark on random perturbations of the nonlinear pendulum. Zbl 0960.60051
Freidlin, Mark; Weber, Matthias
1999
Approximation of quasi-potentials and exit problems for multidimensional RDE’s with noise. Zbl 1232.60049
Cerrai, Sandra; Freidlin, Mark
2011
Fluctuations in dynamical systems subject to small random perturbations. Zbl 0499.60053
Venttsel’, A. D.; Freĭdlin, M. I.
1979
Some problems concerning stability under small random perturbations. Zbl 0268.93032
Ventcel’, A. D.; Freidlin, M. I.
1972
Certain properties of diffusion processes depending on a parameter. Zbl 0114.07801
Blagoveshchenskiĭ, Yu. N.; Freĭdlin, M. I.
1961
Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise. Zbl 1325.60101
Brzeźniak, Z.; Cerrai, S.; Freidlin, M.
2015
On random perturbations of Hamiltonian systems with many degrees of freedom. Zbl 1053.60058
Freidlin, Mark; Weber, Matthias
2001
Small mass asymptotics for a charged particle in a magnetic field and long-time influence of small perturbations. Zbl 1225.82045
Cerrai, Sandra; Freidlin, Mark
2011
Reaction-diffusion equations with randomly perturbed boundary conditions. Zbl 0755.35055
Freidlin, Mark I.; Wentzell, Alexander D.
1992
Small mass asymptotic for the motion with vanishing friction. Zbl 1260.60160
Freidlin, Mark; Hu, Wenqing; Wentzell, Alexander
2013
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus. Zbl 1330.34096
Dolgopyat, Dmitry; Freidlin, Mark; Koralov, Leonid
2012
Fast transport asymptotics for stochastic RDEs with boundary noise. Zbl 1210.60065
Cerrai, Sandra; Freidlin, Mark
2011
Nonlinear stochastic perturbations of dynamical systems and quasi-linear parabolic PDE’s with a small parameter. Zbl 1220.35200
Freidlin, M.; Koralov, L.
2010
Necessary and sufficient conditions for weak convergence of one- dimensional Markov processes. Zbl 0820.60058
Freidlin, Mark I.; Wentzell, Alexander D.
1994
Quasilinear parabolic equations and measures in function space. Zbl 0164.41501
Freidlin, M. I.
1967
On the behavior of diffusion processes with traps. Zbl 1411.60042
Freidlin, M.; Koralov, L.; Wentzell, A.
2017
Large deviations for the Langevin equation with strong damping. Zbl 1329.82093
Cerrai, Sandra; Freidlin, Mark
2015
On the Neumann problem for PDE’s with a small parameter and the corresponding diffusion processes. Zbl 1243.35184
Freidlin, M. I.; Wentzell, A. D.
2012
On stochastic perturbations of dynamical systems with fast and slow components. Zbl 1038.60018
Freidlin, Mark
2001
Wave front propagation and large deviations for diffusion-transmutation process. Zbl 0855.60075
Freidlin, M. I.; Lee, T.-Y.
1996
Averaging principle for perturbed random evolution equations and corresponding Dirichlet problems. Zbl 0767.60022
Eizenberg, Alexander; Freidlin, Mark
1993
Semi-linear PDE’s and limit theorems for large deviations. Zbl 0777.60025
Freidlin, Mark I.
1992
On factorization of a nonnegatively definite matrix. Zbl 0164.46701
Freidlin, M. I.
1968
On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior. Zbl 1355.60083
Cerrai, Sandra; Freidlin, Mark; Salins, Michael
2017
On stochastic perturbations of dynamical systems with a “rough” symmetry. Hierarchy of Markov chains. Zbl 1308.60071
Freidlin, M.
2014
On perturbations of generalized Landau-Lifshitz dynamics. Zbl 1252.82116
Freidlin, Mark; Hu, Wenqing
2011
The action functional for a class of stochastic processes. Zbl 0268.60040
Freidlin, M. I.
1972
On the smoothness of solutions of degenerate elliptic equations. Zbl 0192.45102
Freidlin, M. I.
1970
Metastable distributions of Markov chains with rare transitions. Zbl 1379.37006
Freidlin, M.; Koralov, L.
2017
Large deviations at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1362 (1988), 1527 (1992) and 774 (1980). Zbl 1284.60004
Azencott, Robert; Freidlin, Mark I.; Varadhan, S. R. S.
2013
Metastability and stochastic resonance for multiscale systems. Zbl 1155.60312
Freidlin, Mark
2008
Metastability for random perturbations of nearly-Hamiltonian systems. Zbl 1151.60011
Athreya, Avanti; Freidlin, Mark
2008
On metastable regimes in stochastic Lamb system. Zbl 1111.82026
Freidlin, M. I.; Komech, A. I.
2006
Random and deterministic perturbations of nonlinear oscillators. Zbl 0908.60051
Freidlin, Mark I.
1998
Probabilistic approach to the small viscosity asymptotics for Navier-Stokes equations. Zbl 0907.76016
Freidlin, Mark
1997
On a backward-forward parabolic equation and its regularization. Zbl 0780.35065
Freidlin, Mark; Weinberger, Hans
1993
On wave fronts propagation in multicomponent media. Zbl 0547.35058
Freidlin, M. I.
1983
On the structure of the infinitesimal $$\sigma$$-algebra of a Gaussian process. Zbl 0107.12504
Tutubalin, V. N.; Frejdlin, M. I.
1962
On diffusions in media with pockets of large diffusivity. Zbl 1422.60043
Freidlin, Mark; Koralov, Leonid; Wentzell, Alexander
2019
On second order elliptic equations with a small parameter. Zbl 1287.35006
Freidlin, Mark; Hu, Wenqing
2013
Metastability for nonlinear random perturbations of dynamical systems. Zbl 1197.60028
Freidlin, M.; Koralov, L.
2010
Reaction-diffusion equations with nonlinear boundary conditions in narrow domains. Zbl 1156.35054
Freidlin, Mark; Spiliopoulos, Konstantinos
2008
On stochasticity of solutions of differential equations with a small delay. Zbl 1093.34045
Freidlin, Mark; Weber, Matthias
2005
Optimal residence time control of Hamiltonian systems perturbed by white noise. Zbl 1049.49500
Dunyak, James P.; Freidlin, Mark I.
1998
Image processing for plane domains: Change-point problems for the domain’s area. Zbl 0897.62107
Korostelev, A. P.; Freidlin, M. I.
1995
Random perturbations of dynamical systems: Large deviations and averaging. Zbl 0847.60036
Freidlin, Mark I.
1994
Partial differential systems with a small parameter and diffusion process with a discrete component. Zbl 0735.60028
Eizenberg, A.; Freidlin, M.
1991
Random perturbations of infinite-dimensional dynamic systems. Zbl 0679.60036
Freidlin, Mark
1987
A new contribution to the question of large deviations for random processes. Zbl 0392.60030
Gärtner, J.; Freidlin, M. I.
1978
Existence in the large of smooth solutions of degenerate quasilinear equations. Zbl 0191.11602
Freidlin, M. I.
1970
On degenerating elliptic equations. Zbl 0214.44103
Freidlin, M. I.
1969
Small random perturbations of a dynamical system with a stable equilibrium position. Zbl 0194.48904
Venttsel’, A. D.; Frejdlin, M. I.
1969
Markov processes and differential equations. Zbl 0234.60089
Freĭdlin, M. I.
1967
A mixed boundary value problem for elliptic differential equations of second order with a small parameter. Zbl 0127.05201
Freidlin, M. I.
1962
Front propagation for reaction-diffusion equations in composite structures. Zbl 1401.35179
Freidlin, M.; Koralov, L.
2018
SPDEs on narrow domains and on graphs: an asymptotic approach. Zbl 1367.60078
Cerrai, Sandra; Freidlin, Mark
2017
On stochastic perturbations of slowly changing dynamical systems. Zbl 1357.60082
Freidlin, M.; Koralov, L.
2017
On diffusion in narrow random channels. Zbl 1288.82036
Freidlin, Mark; Hu, Wenqing
2013
Wave front propagation for a reaction-diffusion equation in narrow random channels. Zbl 1275.35120
Freidlin, Mark; Hu, Wenqing
2013
On stochasticity in nearly-elastic systems. Zbl 1320.70020
Freidlin, Mark; Hu, Wenqing
2012
Perturbations of the motion of a charged particle in a noisy magnetic field. Zbl 1244.82060
Freidlin, Mark; Weber, Matthias
2012
On diffusions in media with pockets of large diffusivity. Zbl 1422.60043
Freidlin, Mark; Koralov, Leonid; Wentzell, Alexander
2019
Front propagation for reaction-diffusion equations in composite structures. Zbl 1401.35179
Freidlin, M.; Koralov, L.
2018
On the behavior of diffusion processes with traps. Zbl 1411.60042
Freidlin, M.; Koralov, L.; Wentzell, A.
2017
On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior. Zbl 1355.60083
Cerrai, Sandra; Freidlin, Mark; Salins, Michael
2017
Metastable distributions of Markov chains with rare transitions. Zbl 1379.37006
Freidlin, M.; Koralov, L.
2017
SPDEs on narrow domains and on graphs: an asymptotic approach. Zbl 1367.60078
Cerrai, Sandra; Freidlin, Mark
2017
On stochastic perturbations of slowly changing dynamical systems. Zbl 1357.60082
Freidlin, M.; Koralov, L.
2017
Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise. Zbl 1325.60101
Brzeźniak, Z.; Cerrai, S.; Freidlin, M.
2015
Large deviations for the Langevin equation with strong damping. Zbl 1329.82093
Cerrai, Sandra; Freidlin, Mark
2015
On stochastic perturbations of dynamical systems with a “rough” symmetry. Hierarchy of Markov chains. Zbl 1308.60071
Freidlin, M.
2014
Small mass asymptotic for the motion with vanishing friction. Zbl 1260.60160
Freidlin, Mark; Hu, Wenqing; Wentzell, Alexander
2013
Large deviations at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1362 (1988), 1527 (1992) and 774 (1980). Zbl 1284.60004
Azencott, Robert; Freidlin, Mark I.; Varadhan, S. R. S.
2013
On second order elliptic equations with a small parameter. Zbl 1287.35006
Freidlin, Mark; Hu, Wenqing
2013
On diffusion in narrow random channels. Zbl 1288.82036
Freidlin, Mark; Hu, Wenqing
2013
Wave front propagation for a reaction-diffusion equation in narrow random channels. Zbl 1275.35120
Freidlin, Mark; Hu, Wenqing
2013
Random perturbations of dynamical systems. Translated from the Russian by J Szücs. 3rd ed. Zbl 1267.60004
Freidlin, Mark I.; Wentzell, Alexander D.
2012
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus. Zbl 1330.34096
Dolgopyat, Dmitry; Freidlin, Mark; Koralov, Leonid
2012
On the Neumann problem for PDE’s with a small parameter and the corresponding diffusion processes. Zbl 1243.35184
Freidlin, M. I.; Wentzell, A. D.
2012
On stochasticity in nearly-elastic systems. Zbl 1320.70020
Freidlin, Mark; Hu, Wenqing
2012
Perturbations of the motion of a charged particle in a noisy magnetic field. Zbl 1244.82060
Freidlin, Mark; Weber, Matthias
2012
Averaging principle for quasi-linear parabolic PDEs and realted diffusion processes. Zbl 1242.35150
Freidlin, Mark; Koralov, Leonid
2012
Smoluchowski-Kramers approximation in the case of variable friction. Zbl 1291.60118
Freidlin, M.; Hu, W.
2011
Approximation of quasi-potentials and exit problems for multidimensional RDE’s with noise. Zbl 1232.60049
Cerrai, Sandra; Freidlin, Mark
2011
Small mass asymptotics for a charged particle in a magnetic field and long-time influence of small perturbations. Zbl 1225.82045
Cerrai, Sandra; Freidlin, Mark
2011
Fast transport asymptotics for stochastic RDEs with boundary noise. Zbl 1210.60065
Cerrai, Sandra; Freidlin, Mark
2011
On perturbations of generalized Landau-Lifshitz dynamics. Zbl 1252.82116
Freidlin, Mark; Hu, Wenqing
2011
Nonlinear stochastic perturbations of dynamical systems and quasi-linear parabolic PDE’s with a small parameter. Zbl 1220.35200
Freidlin, M.; Koralov, L.
2010
Metastability for nonlinear random perturbations of dynamical systems. Zbl 1197.60028
Freidlin, M.; Koralov, L.
2010
Averaging principle for a class of stochastic reaction-diffusion equations. Zbl 1176.60049
Cerrai, Sandra; Freidlin, Mark
2009
Metastability and stochastic resonance for multiscale systems. Zbl 1155.60312
Freidlin, Mark
2008
Metastability for random perturbations of nearly-Hamiltonian systems. Zbl 1151.60011
Athreya, Avanti; Freidlin, Mark
2008
Reaction-diffusion equations with nonlinear boundary conditions in narrow domains. Zbl 1156.35054
Freidlin, Mark; Spiliopoulos, Konstantinos
2008
Some recent results on averaging principle. Zbl 1154.60043
Freidlin, Mark; Wentzell, Alexander
2008
Long-time behavior of weakly coupled oscillators. Zbl 1119.34044
Freidlin, M. I.; Wentzell, A. D.
2006
On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom. Zbl 1093.60036
Cerrai, Sandra; Freidlin, Mark
2006
Smoluchowski-Kramers approximation for a general class of SPDEs. Zbl 1119.35127
Cerrai, Sandra; Freidlin, Mark
2006
On metastable regimes in stochastic Lamb system. Zbl 1111.82026
Freidlin, M. I.; Komech, A. I.
2006
Smoluchowski-Kramers approximation and exit problems. Zbl 1083.60018
Chen, Zhiwei; Freidlin, Mark
2005
On stochasticity of solutions of differential equations with a small delay. Zbl 1093.34045
Freidlin, Mark; Weber, Matthias
2005
Some remarks on the Smoluchowski-Kramers approximation. Zbl 1113.82055
Freidlin, Mark
2004
Diffusion processes on an open book and the averaging principle. Zbl 1075.60100
Freidlin, M. I.; Wentzell, A. D.
2004
Random perturbations of dynamical systems and diffusion processes with conservation laws. Zbl 1044.60044
Freidlin, Mark; Weber, Matthias
2004
Averaging principle for stochastic perturbations of multifrequency systems. Zbl 1050.60078
Freidlin, M. I.; Wentzell, A. D.
2003
Deterministic 3D perturbations of planar incompressible flow lead to stochasticity. Zbl 1041.76059
Freidlin, Mark
2003
Reaction-diffusion in incompressible fluid: asymptotic problems. Zbl 1043.35079
Freidlin, Mark
2002
On stable oscillations and equilibriums induced by small noise. Zbl 1019.82008
Freidlin, Mark I.
2001
On random perturbations of Hamiltonian systems with many degrees of freedom. Zbl 1053.60058
Freidlin, Mark; Weber, Matthias
2001
On stochastic perturbations of dynamical systems with fast and slow components. Zbl 1038.60018
Freidlin, Mark
2001
Quasi-deterministic approximation, metastability and stochastic resonance. Zbl 0955.60064
Freidlin, Mark I.
2000
Diffusion processes on graphs: Stochastic differential equations, large deviation principle. Zbl 0957.60088
Freidlin, Mark; Sheu, Shuenn-Jyi
2000
On stochastic behavior of perturbed Hamiltonian systems. Zbl 0997.37020
Brin, Michael; Freidlin, Mark
2000
On the motion of light particles perturbed by noise. Zbl 0979.60052
Frejdlin, M. I.
2000
A comparison of homogenization and large deviations, with applications to wavefront propagation. Zbl 0996.60035
Freidlin, Mark I.; Sowers, Richard B.
1999
A remark on random perturbations of the nonlinear pendulum. Zbl 0960.60051
Freidlin, Mark; Weber, Matthias
1999
Random perturbations of dynamical systems. Transl. from the Russian by Joseph Szuecs. 2nd ed. Zbl 0922.60006
Freidlin, M. I.; Wentzell, A. D.
1998
Random perturbations of nonlinear oscillators. Zbl 0935.60038
Freidlin, Mark; Weber, Matthias
1998
Random and deterministic perturbations of nonlinear oscillators. Zbl 0908.60051
Freidlin, Mark I.
1998
Optimal residence time control of Hamiltonian systems perturbed by white noise. Zbl 1049.49500
Dunyak, James P.; Freidlin, Mark I.
1998
Probabilistic approach to the small viscosity asymptotics for Navier-Stokes equations. Zbl 0907.76016
Freidlin, Mark
1997
Markov processes and differential equations: asymptotic problems. Zbl 0863.60049
Freidlin, Mark
1996
Wave front propagation and large deviations for diffusion-transmutation process. Zbl 0855.60075
Freidlin, M. I.; Lee, T.-Y.
1996
Large deviation principle for the diffusion-transmutation processes and Dirichlet problem for PDE systems with small parameter. Zbl 0847.60020
Freidlin, M. I.; Lee, T.-Y.
1996
Wave front propagation for KPP-type equations. Zbl 0848.60065
Freidlin, Mark
1995
Fast oscillating random perturbations of dynamical systems with conservation laws. Zbl 0831.60066
Borodin, A. N.; Freidlin, M. I.
1995
Image processing for plane domains: Change-point problems for the domain’s area. Zbl 0897.62107
Korostelev, A. P.; Freidlin, M. I.
1995
Surveys in Applied Mathematics. Vol. 2. Zbl 0834.00017
Freidlin, Mark (ed.); Gredeskul, Sergey (ed.); Marchenko, Andrew (ed.); Pastur, Leonid (ed.); Hunter, John K. (ed.)
1995
Random perturbations of Hamiltonian systems. Zbl 0804.60070
Freidlin, Mark I.; Wentzell, Alexander D.
1994
Necessary and sufficient conditions for weak convergence of one- dimensional Markov processes. Zbl 0820.60058
Freidlin, Mark I.; Wentzell, Alexander D.
1994
Random perturbations of dynamical systems: Large deviations and averaging. Zbl 0847.60036
Freidlin, Mark I.
1994
Diffusion processes on graphs and the averaging principle. Zbl 0795.60042
Freidlin, Mark I.; Wentzell, Alexander D.
1993
Large deviations for Markov processes corresponding to PDE systems. Zbl 0776.60037
Eizenberg, Alexander; Freidlin, Mark
1993
Averaging principle for perturbed random evolution equations and corresponding Dirichlet problems. Zbl 0767.60022
Eizenberg, Alexander; Freidlin, Mark
1993
On a backward-forward parabolic equation and its regularization. Zbl 0780.35065
Freidlin, Mark; Weinberger, Hans
1993
Reaction-diffusion equations with randomly perturbed boundary conditions. Zbl 0755.35055
Freidlin, Mark I.; Wentzell, Alexander D.
1992
Semi-linear PDE’s and limit theorems for large deviations. Zbl 0777.60025
Freidlin, Mark I.
1992
Wave front propagation in semi-linear differential equations and systems of KPP-type. Zbl 0805.35011
Freidlin, Mark
1992
Central limit theorem results for a reaction-diffusion equation with fast-oscillating boundary perturbations. Zbl 0771.60044
Freidlin, Mark I.; Sowers, Richard B.
1992
Coupled reaction-diffusion equations. Zbl 0724.60086
Freidlin, Mark
1991
Partial differential systems with a small parameter and diffusion process with a discrete component. Zbl 0735.60028
Eizenberg, A.; Freidlin, M.
1991
On the Dirichlet problem for a class of second order PDE systems with small parameter. Zbl 0723.60095
Eizenberg, Alexander; Freidlin, Mark
1990
Random perturbations of reaction-diffusion equations: The quasi- deterministic approximation. Zbl 0673.35049
Freidlin, Mark I.
1988
Random perturbations of infinite-dimensional dynamic systems. Zbl 0679.60036
Freidlin, Mark
1987
Geometric optics approach to reaction-diffusion equations. Zbl 0626.35047
Freidlin, M. I.
1986
Functional integration and partial differential equations. Zbl 0568.60057
Freidlin, Mark
1985
Limit theorems for large deviations and reaction-diffusion equations. Zbl 0576.60070
Freidlin, Mark
1985
Erratum to “On wave fronts propagation in multicomponent media”. Zbl 0574.35051
Freidlin, M. I.
1985
Random perturbations of dynamical systems. Transl. from the Russian by Joseph Szücs. Zbl 0522.60055
Freidlin, M. I.; Wentzell, A. D.
1984
On wavefront propagation in periodic media. Zbl 0549.60054
Freidlin, Mark I.
1984
On wave fronts propagation in multicomponent media. Zbl 0547.35058
Freidlin, M. I.
1983
On the propagation of concentration waves in periodic and random media. Zbl 0447.60060
Gärtner, Jürgen; Frejdlin, M. I.
1979
Fluctuations in dynamical systems subject to small random perturbations. Zbl 0499.60053
Venttsel’, A. D.; Freĭdlin, M. I.
1979
The averaging principle and theorems on large deviations. Zbl 0416.60029
Frejdlin, M. I.
1978
A new contribution to the question of large deviations for random processes. Zbl 0392.60030
Gärtner, J.; Freidlin, M. I.
1978
Das Mittelungsprinzip und Sätze über große Abweichungen. Zbl 0407.60015
Freidlin, M. I.
1978
Sublimiting distributions and stabilization of solutions of parabolic equations with a small parameter. Zbl 0381.35006
Freidlin, M. I.
1977
Some problems concerning stability under small random perturbations. Zbl 0268.93032
Ventcel’, A. D.; Freidlin, M. I.
1972
The action functional for a class of stochastic processes. Zbl 0268.60040
Freidlin, M. I.
1972
On small random perturbations of dynamical systems. Zbl 0297.34053
Ventcel’, A. D.; Freidlin, M. I.
1970
On the smoothness of solutions of degenerate elliptic equations. Zbl 0192.45102
Freidlin, M. I.
1970
Existence in the large of smooth solutions of degenerate quasilinear equations. Zbl 0191.11602
Freidlin, M. I.
1970
...and 17 more Documents
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#### Cited by 1,916 Authors

 50 Freidlin, Mark I. 22 Cerrai, Sandra 21 Bashkirtseva, Irina Adol’fovna 21 Ryashko, Lev Borisovich 17 Duan, Jinqiao 17 Spiliopoulos, Konstantinos V. 16 Vanden-Eijnden, Eric 15 Koralov, Leonid B. 13 Hamel, François 13 Kifer, Yuri 12 Shen, Wenxian 12 Xi, Fubao 11 Albeverio, Sergio A. 11 Sowers, Richard B. 10 Berestycki, Henri 10 Cameron, Maria Kourkina 10 Day, Martin V. 10 Dupuis, Paul 10 Pardoux, Etienne 10 Pavlyukevich, Ilya 10 Salins, Michael 10 Souganidis, Panagiotis E. 9 Berglund, Nils 9 Bouchet, Freddy 9 Chen, Zhen-Qing 9 Hairer, Martin 9 Ryzhik, Lenya 9 Sultanov, Oskar A. 9 Weber, Matthias 8 Bakhtin, Yuri Yu. 8 Belopol’skaya, Yana Isaevna 8 Hu, Wenqing 8 Imkeller, Peter 8 Landim, Claudio 8 Liu, Jicheng 8 Xu, Yong 8 Yin, George Gang 8 Zhang, Tusheng S. 8 Zhao, Huaizhong 7 Acebrón, Juan A. 7 Bertini, Lorenzo Bertini 7 Klebaner, Fima C. 7 Liang, Xing 7 Liptser, Robert 7 Liu, Xianbin 7 Lv, Yan 7 Miclo, Laurent 7 Mikami, Toshio 7 Mirrahimi, Sepideh 7 Olivieri, Enzo 7 Salako, Rachidi Bolaji 7 Wang, Wei 7 Wentzell, Alexander Dmitrievich 7 Zhang, Xicheng 6 Blömker, Dirk 6 Bobrowski, Adam 6 Borkar, Vivek Shripad 6 Champagnat, Nicolas 6 Dolgopyat, Dmitry 6 Dupuis, Paul G. 6 Fu, Hongbo 6 Gabrielli, Davide 6 Högele, Michael Anton 6 Hwang, Chi-Ok 6 Kraaij, Richard Clemens 6 Kühn, Christian 6 Kuksin, Sergeĭ B. 6 Kuske, Rachel A. 6 Li, Xue-Mei 6 Lunardi, Alessandra 6 Nadirashvili, Nikolai S. 6 Namachchivaya, N. Sri 6 Novikov, Alexei 6 Pei, Bin 6 Puhalskii, Anatolii A. 6 Schuss, Zeev 6 Sheu, Shuenn-Jyi 6 Truman, Aubrey 6 Weidenholzer, Simon 6 Xin, Jack X. 5 Barles, Guy 5 Bouin, Emeric 5 Cerf, Raphaël 5 E, Weinan 5 Elliott, Robert James 5 Evans, Lawrence Craig 5 Fudenberg, Drew 5 Gao, Peng 5 Gentz, Barbara 5 Gobet, Emmanuel 5 Grafke, Tobias 5 Holcman, David 5 Hottovy, Scott 5 Imhof, Lorens A. 5 Ishii, Hitoshi 5 Iyer, Gautam 5 Korolyuk, Volodymyr Semenovych 5 Kutoyants, Yury A. 5 Lejay, Antoine 5 Mascagni, Michael V. ...and 1,816 more Authors
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#### Cited in 298 Serials

 121 Stochastic Processes and their Applications 98 Journal of Statistical Physics 55 Journal of Differential Equations 49 The Annals of Probability 47 Probability Theory and Related Fields 47 The Annals of Applied Probability 38 Stochastics and Dynamics 37 Physica D 33 Journal of Mathematical Analysis and Applications 30 Games and Economic Behavior 28 Journal of Functional Analysis 24 Stochastic Analysis and Applications 22 Communications in Mathematical Physics 22 Chaos 20 Journal of Mathematical Physics 20 Statistics & Probability Letters 20 Journal of Mathematical Sciences (New York) 19 Journal of Mathematical Biology 19 Journal of Economic Theory 19 Transactions of the American Mathematical Society 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Journal of Theoretical Probability 17 Applied Mathematics and Optimization 16 Journal of Nonlinear Science 16 Discrete and Continuous Dynamical Systems 15 Communications on Pure and Applied Mathematics 15 Journal of Computational Physics 15 SIAM Journal on Mathematical Analysis 14 Archive for Rational Mechanics and Analysis 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Physics Letters. A 12 Journal of Dynamics and Differential Equations 12 Journal of Statistical Mechanics: Theory and Experiment 11 Chaos, Solitons and Fractals 11 Applied Mathematics and Computation 11 Journal of Applied Probability 11 Potential Analysis 11 Annales Henri Poincaré 11 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Mathematical Economics 10 Journal of Economic Dynamics & Control 10 Communications in Partial Differential Equations 10 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Stochastics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Calculus of Variations and Partial Differential Equations 9 Theory of Probability and Mathematical Statistics 9 Multiscale Modeling & Simulation 8 Journal d’Analyse Mathématique 8 Mathematics and Computers in Simulation 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Systems & Control Letters 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Stochastics and Stochastics Reports 8 Electronic Journal of Probability 8 Frontiers of Mathematics in China 7 Physica A 7 Bulletin of Mathematical Biology 7 Theoretical Population Biology 7 Mathematical and Computer Modelling 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Economic Theory 7 Journal of Physics A: Mathematical and Theoretical 7 Science China. Mathematics 6 Advances in Applied Probability 6 Nonlinearity 6 Automation and Remote Control 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Evolution Equations 6 Nonlinear Analysis. Theory, Methods & Applications 5 Computers & Mathematics with Applications 5 Israel Journal of Mathematics 5 Letters in Mathematical Physics 5 Journal of Computational and Applied Mathematics 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Applied Mathematics Letters 5 Queueing Systems 5 Journal of Scientific Computing 5 Science in China. Series A 5 SIAM Journal on Applied Mathematics 5 Russian Journal of Mathematical Physics 5 Advances in Difference Equations 5 Proceedings of the Steklov Institute of Mathematics 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Mathematical Biosciences 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 Reports on Mathematical Physics 4 Ukrainian Mathematical Journal 4 Automatica 4 International Journal of Game Theory 4 Journal of Multivariate Analysis 4 Journal of Soviet Mathematics 4 Journal of the American Mathematical Society 4 Bulletin des Sciences Mathématiques 4 SIAM Journal on Applied Dynamical Systems 4 Stochastics ...and 198 more Serials
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#### Cited in 44 Fields

 1,100 Probability theory and stochastic processes (60-XX) 548 Partial differential equations (35-XX) 201 Ordinary differential equations (34-XX) 192 Dynamical systems and ergodic theory (37-XX) 185 Statistical mechanics, structure of matter (82-XX) 177 Biology and other natural sciences (92-XX) 152 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 129 Numerical analysis (65-XX) 110 Systems theory; control (93-XX) 73 Fluid mechanics (76-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 58 Operator theory (47-XX) 52 Statistics (62-XX) 51 Mechanics of particles and systems (70-XX) 42 Global analysis, analysis on manifolds (58-XX) 42 Quantum theory (81-XX) 32 Operations research, mathematical programming (90-XX) 22 Classical thermodynamics, heat transfer (80-XX) 20 Integral equations (45-XX) 15 Computer science (68-XX) 14 Functional analysis (46-XX) 13 Combinatorics (05-XX) 13 Measure and integration (28-XX) 12 Geophysics (86-XX) 11 Information and communication theory, circuits (94-XX) 10 Optics, electromagnetic theory (78-XX) 8 Differential geometry (53-XX) 8 Mechanics of deformable solids (74-XX) 7 Difference and functional equations (39-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)

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