在这份报纸,我们介绍 -Fisher 熵的定义。为在 R d 和唯一的不变的概率措施的随机的微分方程,我们获得 -Fisher 熵的指数的集中关于在一些状况关于和飘移 b 下面。而且,我们在 Bakry 钢玉粉条件下面重游平常的菲希尔熵的指数的集中。
In this paper, we introduce the definition of Γ-Fisher entropy. For the stochastic differential equation in Rd and the unique invariant probability measure μ, we obtain the exponential convergence of Γ-Fisher entropy with respect to μ under some condition about Γ and the drift b. Moreover, we revisit the exponential convergence of the usual Fisher entropy under the Bakry Emery condition.