Ruelle transfer operator and its applications.

• Other Authors: Li, Yong.
• Format: Others
• Language: English; Chinese
• Published: 2011
• Subjects: Ruelle operators; Differentiable dynamical systems
• Online Access: http://library.cuhk.edu.hk/record=b5894651; http://repository.lib.cuhk.edu.hk/en/item/cuhk-327355

Li, Yong. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. === Includes bibliographical references (p. 58-60). === Abstracts in English and Chinese. === Chapter 1 --- Introduction --- p.1 === Chapter 2 --- "Entropy, Pressure and Variational Principle" --- p.4 === Chapter 2.1 --- Entropy --- p.5 === Chapter 2.1.1 --- Entropy of a Partition --- p.5 === Chapter 2.1.2 --- Conditional Entropy --- p.6 === Chapter 2.1.3 --- Entropy of a Measure-Preserving Transformation --- p.7 === Chapter 2.2 --- Topological Pressure --- p.9 === Chapter 3 --- Ruelle Operator Theorem --- p.11 === Chapter 3.1 --- Ruelle Operator Theorem --- p.11 === Chapter 3.2 --- Subshifts of Finite Type --- p.26 === Chapter 4 --- Applications in Dimension Theory --- p.35 === Chapter 4.1 --- Hausdorff Dimension of Cookie-Cutter Sets --- p.35 === Chapter 4.2 --- General Case --- p.44 === Bibliography --- p.58