A simple proof of log-Sobolev inequalities on a path space with Gibbs measures

研究成果: Article

1 引用 (Scopus)

抄録

In this paper, we give a simple proof of log-Sobolev inequalities on an infinite volume path space C(ℝ, ℝd) with Gibbs measures. We introduce a parabolic stochastic partial differential equation which is reversible with respect to the Gibbs measures. In the proof, the gradient estimate for the diffusion semigroup which is derived from the stochastic flow plays a central role.

元の言語English
ページ(範囲)321-329
ページ数9
ジャーナルInfinite Dimensional Analysis, Quantum Probability and Related Topics
9
発行部数2
DOI
出版物ステータスPublished - 2006 6 1
外部発表Yes

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Log-Sobolev Inequality
Path Space
Gibbs Measure
Partial differential equations
Diffusion Semigroup
Stochastic Flow
Gradient Estimate
Stochastic Partial Differential Equations
Parabolic Partial Differential Equations
partial differential equations
gradients
estimates

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Statistics and Probability
  • Statistical and Nonlinear Physics
  • Mathematical Physics

これを引用

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