Ergodicity of stochastic differential equations driven by fractional Brownian motion
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Publication:1775448
DOI10.1214/009117904000000892zbMath1071.60045arXivmath/0304134OpenAlexW2062242131WikidataQ56894492 ScholiaQ56894492MaRDI QIDQ1775448
Publication date: 3 May 2005
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0304134
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fractional derivatives and integrals (26A33)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Markov chains and stochastic stability
- The Fokker-Planck equation. Methods of solution and applications.
- Differential equations driven by rough signals
- Ergodic properties of classical dissipative systems. I
- Smoothing properties of transition semigroups relative to SDEs with values in Banach spaces
- Invariant measures for random dynamical systems on the circle
- Ergodic properties of the non-Markovian Langevin equation
- Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
- Evolution equations driven by a fractional Brownian motion
- Stochastic analysis, rough path analysis and fractional Brownian motions.
- Exponential mixing properties of stochastic PDEs through asymptotic coupling
- Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
- FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE
- Random Dynamical Systems and Stationary Solutions of Differential Equations Driven by the Fractional Brownian Motion
- Markov measures for random dynamical systems
- Stochastic Calculus for Fractional Brownian Motion I. Theory
- Fractional Brownian Motions, Fractional Noises and Applications
- Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise
- A coupling approach to randomly forced nonlinear PDE's. I
- Stochastic Equations in Infinite Dimensions
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