Synopsis (final)


Schedule: Friday 10-1, Bahen 6180, (10.10-11.25 Break 11.40-12.55)

Recommended literature:

* R. Bowen: Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Springer LNM, Vol. 470, 1975.

* M. Brin-G. Stuck: Dynamical Systems, CUP, 2002

*N. Chernov-R. Markarian: Chaotic Billiards, AMS, 2006

* A. Kramli-N. Simanyi-D. Szasz: A "Transversal" Fundamental Theorem for Semi-Dispersing Billiards. Commun. Math. Phys. 129, 535-560 (1990).

* (Some preliminaries) D. Szasz: Dynamical systems (introductory course, in Hungarian)


*Sethuraman: A martingale CLT,

Notes (occasional):

1. Existence of local invariant manifolds

2. Derivative of the Poincaré section map

3. Note to the proof of Fundamental Theorem: the constants.


Course description

Detailed plan