Mark Freidlin - Academia.edu (original) (raw)
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Papers by Mark Freidlin
arXiv (Cornell University), Oct 10, 2017
arXiv (Cornell University), Jun 29, 2021
arXiv (Cornell University), Feb 23, 2020
arXiv (Cornell University), Dec 28, 2021
Russian Mathematical Surveys, 2000
Journal of Differential Equations
Electronic Journal of Probability, 2021
We consider the averaging principle for deterministic or stochastic systems with a fast stochasti... more We consider the averaging principle for deterministic or stochastic systems with a fast stochastic component (family of continuous-time Markov chains depending on the state of the system as a parameter). We show that, due to bifurcations in the simplex of invariant probability measures of the chains, the limiting system should be considered on a graph or on an open book with certain gluing conditions in the vertices of the graph (or on the bifurcation surface).
Probability Theory and Related Fields, 2018
Discrete & Continuous Dynamical Systems - A, 2016
Journal of Statistical Physics
Probability Theory and Related Fields, 2019
Stochastics and Dynamics, 2012
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding ... more Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDEs with a small parameter at the second-order derivatives are considered in this paper.
Journal of Statistical Physics, 2011
Journal of Statistical Physics, 2013
Journal of Mathematical Sciences, 2011
Ergodic Theory and Dynamical Systems, 2012
We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional ... more We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional torus. Even in the case of purely deterministic perturbations, the long-time behavior of such flows can be stochastic. The stochasticity is caused by instabilities near the saddle points as well as by the ergodic component of the locally Hamiltonian system on the torus.
Communications in Partial Differential Equations, 2013
arXiv (Cornell University), Oct 10, 2017
arXiv (Cornell University), Jun 29, 2021
arXiv (Cornell University), Feb 23, 2020
arXiv (Cornell University), Dec 28, 2021
Russian Mathematical Surveys, 2000
Journal of Differential Equations
Electronic Journal of Probability, 2021
We consider the averaging principle for deterministic or stochastic systems with a fast stochasti... more We consider the averaging principle for deterministic or stochastic systems with a fast stochastic component (family of continuous-time Markov chains depending on the state of the system as a parameter). We show that, due to bifurcations in the simplex of invariant probability measures of the chains, the limiting system should be considered on a graph or on an open book with certain gluing conditions in the vertices of the graph (or on the bifurcation surface).
Probability Theory and Related Fields, 2018
Discrete & Continuous Dynamical Systems - A, 2016
Journal of Statistical Physics
Probability Theory and Related Fields, 2019
Stochastics and Dynamics, 2012
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding ... more Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDEs with a small parameter at the second-order derivatives are considered in this paper.
Journal of Statistical Physics, 2011
Journal of Statistical Physics, 2013
Journal of Mathematical Sciences, 2011
Ergodic Theory and Dynamical Systems, 2012
We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional ... more We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional torus. Even in the case of purely deterministic perturbations, the long-time behavior of such flows can be stochastic. The stochasticity is caused by instabilities near the saddle points as well as by the ergodic component of the locally Hamiltonian system on the torus.
Communications in Partial Differential Equations, 2013