Hyperbolic dynamical systems and Markov chains

双曲动力系统和马尔可夫链

• 批准号: 1782484
• 金额: --
• 依托单位: University of Manchester
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1782484
• 关键词: Hyperbolic; dynamical; systems; Markov; chains

This project studies the measure-valued Markov chains on hyperbolic dynamical systems, in particular the conditional probability measure process on self-conformal iterated function systems. Topics include local entropy averages, projections and slices, as well as fractal percolations. The project involves with compact group extension theory for Dynamical Systems, Markov chains for Probability Theory and dimension theory for Fractal Geometry.

本项目研究双曲动力系统上的测度值马氏链，特别是自共形迭代函数系统上的条件概率测度过程。主题包括局部熵平均值，投影和切片，以及分形。该项目涉及动力系统的紧群扩张理论，概率论的马尔可夫链和分形几何的维数理论。

项目成果

Projections of Gibbs measures on self-conformal sets

自共形集上吉布斯测度的投影

• DOI: 10.1088/1361-6544/aaec9f
• 发表时间: 2019
• 期刊: Nonlinearity
• 影响因子: 1.7
• 作者: Bruce C