Valid from: Autumn 2018
Decided by: Professor Thomas Johansson
Date of establishment: 2018-08-24
Course type: Third-cycle course
Teaching language: English
The aim is to give an introduction to the new and developing trend of using anisotropic Banach spaces to analyse statistical properties of hyperbolic dynamical systems. The goal is that the student should develop an understanding for the ideas behind these methods and to learn how they are used in simple cases.
Knowledge and Understanding
For a passing grade the doctoral student must Understand how Ruelle transfer operators can be used to analyse statistical properties of dynamical systems and how anisotropic Banach spaces come in use to analyse the spectral properties of Ruelle transfer operators. The student must know how to use these techniques in simple cases.
Competences and Skills
For a passing grade the doctoral student must be able to explain how anisotropic banach spaces and Ruelle operators can be used to analyse hyperbolic dynamical systems, and to give overviews of proofs in simple settings.
Judgement and Approach
For a passing grade the doctoral student must be able to judge what are the pro and cons of various anisotropic Banach spaces in various situations.
Anisotropic Banach spaces; Hyperbolic dynamics; Ruelle transfer operators.
Type of instruction: Lectures
Examination format: Oral exam
Grading scale: Failed, pass
Assumed prior knowledge: Basic functional analysis. Knowledge about statistical properties of dynamical systems is usefull, but not necessary.