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• W1821004611 abstract "Consider a family of random ordinary differential equations on a manifold driven by vector fields of the form $sum_kY_kalpha_k(z_t^epsilon(omega))$ where $Y_k$ are vector fields, $epsilon$ is a positive number, $z_t^epsilon$ is a ${1over epsilon} {mathcal L}_0$ diffusion process taking values in possibly a different manifold, $alpha_k$ are annihilators of $ker ({mathcal L}_0^*)$. Under Hormander type conditions on ${mathcal L}_0$ we prove that, as $epsilon $ approaches zero, the stochastic processes $y_{tover epsilon}^epsilon$ converge weakly and in the Wasserstein topologies. We describe this limit and give an upper bound for the rate of the convergence." @default.
• W1821004611 created "2016-06-24" @default.
• W1821004611 creator A5024301463 @default.
• W1821004611 date "2015-10-01" @default.
• W1821004611 modified "2023-09-27" @default.
• W1821004611 title "Limits of random differential equations on manifolds" @default.
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• W1821004611 doi "https://doi.org/10.1007/s00440-015-0669-x" @default.
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