modules

This course provides an introduction to ergodic theory. This subject uses mathematical analysis to explore the statistical properties of deterministic dynamical systems, such as their long run average behaviour. In particular, the course will explore applications and extensions of the famous Poincare Recurrence Theorem, and Birkhoff Ergodic Theorem for a measure preserving systems. Throughout the course, fundamental concepts will be explored using various dynamical system case studies, of relevance to both pure topics (such as number theory) and applied disciplines (in particular, the characterization of deterministic chaotic behaviour in nonlinear dynamical systems).

For MSc students: ECMM702 .

For other Level 7 students: MTH3024 .

_{Please note that all modules are subject to change, please get in touch if you have any questions about this module.}