On the Kaimanovich-Vershik entropy and splitting theorems on Riemannian manifolds

来源 :Workshop on Stochastic Analysis and Related Topics(“随机分析与相关问 | 被引量 : 0次 | 上传用户：a753159456

【摘要】

：

　　The Kaimanovich-Vershik entropy is an important tool in the Martin boundary theory to characterize the triviality of bounded harmonic functions. The purpose

【出处】

：

Workshop on Stochastic Analysis and Related Topics(“随机分析与相关问

【发表日期】

：

2015年11期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　The Kaimanovich-Vershik entropy is an important tool in the Martin boundary theory to characterize the triviality of bounded harmonic functions. The purpose of this talk is to present some recent results in the study of the Kaimanovich-Vershik entropy on complete co-compact Riemannian manifolds. As its application, we derive some splitting theorems on Riemannian manifolds with weighted measure. This talk is based on joint work with Siqi Jian and Yu-Zhao Wang.

其他文献

组蛋白修饰识别与转录调控的分子机制与功能研究

　　组蛋白修饰被认为构成一层超越基因序列的表观遗传信息，控制着细胞内遗传信息的组织层次，在基因表达及细胞分化与发育过程中发挥着重要调控作用。

会议

利用锌指靶向技术研究Neurexin1转录调节

　　Cys2His2 型锌指蛋白是真核生物中最为广泛的一种DNA 结合基序。其相对简单的DNA 识别结构使得我们能够针对特定DNA 序列人工设计出与之相结合的锌指蛋白。将锌指蛋白与

会议

锌指蛋白Neurexin1表观调节因子

Regular subspaces of Dirichlet forms

　　In this talk, I will talk about how the problem of regular subspaces was raised and a series results on this problem which I and my co-authors have got in p

会议

泛素多聚体的四级结构分布及其与靶蛋白相互作用的机制研究

　　蛋白质通过结构的动态变化行使功能。泛素是真核生物中重要的信号蛋白质，它几乎参与所有的生物过程。多个泛素分子可以通过碳端与赖氨酸或者氮端链接形成多聚体，泛素共有八

会议

泛素多聚体结构分布蛋白相互作用链接方式蛋白质真核生物生物过程

Spectral gaps on path space over a nonsmooth metric measure space

　　Recently A. Naber obtained the characterization of the bound of the Ricci curvature by analysis of path spaces, based on this work S. Fang and author gave t

会议

Damped gradientNonsmooth spacesHeat measuresLogarithmic Sobolev inequalities

Integrability conditions for SDEs and SPDEs

　　Integrability condidions on the coefficients of SDEs and SPDEs are introduced to ensure the existence, unqi-ueness, non-explosion and regularity estimates o

会议

Asymptotic couplings by refelction for quasi-linear SPDEs and applications

　　Asymptotic couplings by reflection are constructed for a class of nonlinear monotone SPDEs (s-tochastic partial differential equations). As applications, gr

会议

Stochastic Analysis and evolving geometries

　　We discuss notions of stochastic differential geometry in the framework of manifolds evolving along a geometric flow. In this context we deal with Brownian

会议

Exponential convergence in Lp-Wasserstein distance for diffusion process without uniformly dissipati

　　We consider the diffusion semigroup (Pt)t≥0 associated to the It(o) SDE with non-uniformly dissipative drift coefficient. By adopting the coupling by refle

会议

Barky-Emery curvature, heat kernel estimates and Perelman type entropy for subelliptic operators

　　In this talk, I will present some results in the study of Bakry-Emery curvature, heat kernel analysis and Perelman type entropy for subelliptic operators. I

会议

On the Kaimanovich-Vershik entropy and splitting theorems on Riemannian manifolds

与本文相关的学术论文