ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS
Mathematics of the USSR-IzvestiyaPublished 31 October 1974
Ju I Kifer
Citations88
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
This paper studies the problem of convergence of invariant measure which is a result of perturbation by a diffusion process with a small parameter (tending to zero) of certain smooth dynamical systems.
Keywords
Computer ScienceMathematics
American Mathematical Society eBooksDifferential Geometry and Symmetric Spaces
2,990 Citations2001Sigurđur Helgason
Differentiable Dynamical Systems
2,529 Citations1980Steve Smale
The Ergodic Theory of Axiom A Flows
588 Citations1975Rufus Bowen, David Ruelle
American Journal of MathematicsStrict Ergodicity and Transformation of the Torus
483 Citations1961Hillel Fürstenberg
Bulletin of the American Mathematical SocietyStable manifolds for hyperbolic sets
402 Citations1969Morris W. Hirsch, Charles Pugh
Russian Mathematical SurveysDIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
271 Citations1975Stanislav Molchanov
Israel Journal of MathematicsMarkov partitions for anosov flows onn-dimensional manifolds
146 Citations1973Marina Ratner
Transactions of the American Mathematical SocietyHyperbolic limit sets
110 Citations1972Sheldon E. Newhouse
Illinois Journal of MathematicsThe fundamental solution of a linear parabolic equation containing a small parameter
35 Citations1959D. G. Aronson
Mathematics of the USSR-SbornikON THE EXISTENCE OF INVARIANT FIBERINGS FOR A DIFFEOMORPHISM OF A SMOOTH MANIFOLD
13 Citations1973Ja B Pesin