The school will provide an introduction to both basic and more advanced topics in the moderntheory of dynamical system and ergodic theory. It will be aimed mostly at Masters level students and thus assume a reasonable general mathematical background but no previous specialised knowledge in the topics covered in the courses. The scientific content of the various courses will be tightly coordinated in order to provide the students with the possibility of a real concrete learning experience which can become the foundation for further study. The material will be motivated by an overview of the field and discussion of main open problems but will consist mainly of relatively simple cases through which the students can learn specific techniques of proof. Significant amout of time will be dedicated to exercise and tutorial sessions where students will receive individual attention from the lecturers. The first week of the school will consist of three introductory courses covering the fundamental notions, definitions and the basic examples of the theory. The second week will be more advanced and include courses on random dynamical systems and extreme events, two areas which are increasingly relevant due to their connections with real world modelling of naturalphenomena.
Langue officielle de l'école : anglais