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Entropy Via Random Perturbations

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Publication:3314622
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DOI10.2307/1999254zbMath0532.58025OpenAlexW4238873383MaRDI QIDQ3314622

Yuri Kifer

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999254

zbMATH Keywords

stochastic flowhyperbolic attractordiffusion Markov processesentropy of diffusion process


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems with hyperbolic behavior (37D99)


Related Items

General random perturbations of hyperbolic and expanding transformations, Stochastic differential geometry: An introduction



Cites Work

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  • Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states
  • Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
  • The ergodic theory of axiom A flows
  • A proof of Pesin's formula
  • ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS
  • CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
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