Successtul Couplings. for Non-Degenerate Diffusion Process on Compact Manifold

Acta Mathematica Sinica, Chinese Series ›› 1994, Vol. 37 ›› Issue (1)

Acta Mathematica Sinica, Chinese Series ›› 1994, Vol. 37 ›› Issue (1) DOI: 10.12386/A1994sxxb0014
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Successtul Couplings. for Non-Degenerate Diffusion Process on Compact Manifold

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Abstract

This paper construct some couplings for non-degenerate diffusion processes on acompact connected manifold.By a stochastic analysis method we prove that these couplingsare successful. moreover. the first moment of the coupling time is finite. Finially.the rate ofconvergence in total variation norm is also studied.

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Successtul Couplings. for Non-Degenerate Diffusion Process on Compact Manifold. Acta Mathematica Sinica, Chinese Series, 1994, 37(1) https://doi.org/10.12386/A1994sxxb0014

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