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Algebraic convergence of diffusion processes on Rn with radial diffusion and drift coefficients

Algebraic convergence of diffusion processes on Rn with radial diffusion and drift coefficients
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摘要 We consider the diffusion process Xt on Rn with radial diffusion and drift coefficients. We prove that once the one-dimensional diffusion |Xt| has algebraic L2-convergence, so does Xt. And some classical examples are discussed. We consider the diffusion process Xt on Rn with radial diffusion and drift coefficients. We prove that once the one-dimensional diffusion |Xt| has algebraic L2-convergence, so does Xt. And some classical examples are discussed.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2015年第4期965-984,共20页 中国高等学校学术文摘·数学(英文)
基金 This work was supported by the National Natural Science Foundation of China (Grant Nos. 11101040, 11371283, 11431014), YETP0264, 985 Projects, and the Fundamental Research Funds for the Central Universities.
关键词 Diffusion processes algebraic convergence classical coupling coupling by reflection spherically invariant Diffusion processes, algebraic convergence, classical coupling,coupling by reflection, spherically invariant
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