On an Ergodic Property of Diffusion Semigroups on Euclidean Space
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概要
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Consider a class of uniform elliptic diffusion processes on Euclidean spaces. We estimate transition densities and their derivatives uniformly with respect to the starting points. We use these results to prove an ergodicity of ∇P_t^c (see (1.2) and Theorem 1.4) under certain conditions. This is useful in precise estimate of large deviation principles.
- 東京大学の論文
著者
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Kusuoka Shigeo
Graduate School Of Mathematical Science The University Of Tokyo
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Liang Song
Graduate School of Mathematics, Nagoya University
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Liang Song
Graduate School Of Information Sciences Tohoku University
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