## Diffusion Processes and Related Problems in Analysis: Stochastic flows |

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### Contents

Stability and equilibrium properties of stochastic flows | 3 |

P BAXENDALE 3 | 26 |

Stochastic flows on Riemannian manifolds | 37 |

Copyright | |

13 other sections not shown

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### Common terms and phrases

affine affine transformations Arnold assume assumption asymptotic Baxendale Borel Boxler Brownian motion Carverhill chain control sets Colonius Colonius and Kliemann compact condition control system conv converges Corollary corresponding Crauel defined denotes diffeomorphisms differential operator diffusion process distribution dynamical systems ergodic theorem exists finite flow of diffeomorphisms function given hereditary system implies independent integral invariant measure invariant probability Kunita Lecture Notes Lemma Lyapunov exponents manifold Markov measures Markov process martingale Math matrix Mohammed natural G-lift P-almost point motion Poisson random measure probability measure proof Proposition random measure random variable real noise result Riemannian Riemannian symmetric space rotation number satisfies Scheutzow semigroup semimartingale smooth solution Springer stability stationary stochastic bifurcation stochastic differential equation stochastic flow Stochastic Processes stochastic systems supp Suppose symmetric space theory topology trajectory two-point motion unique vector fields white noise Wiener process Wihstutz zero