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)
References:
*Sethuraman: A martingale CLT, http://orion.math.iastate.edu/sethuram/papers/wi_mart.pdf
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.