HYPERBOLIC BILLIARDS

HYPERBOLIC BILLIARDS

BUDAPEST, AUGUST 2024

NOTES AND MATERIAL

This page is for the students of the Budapest course, to provide then with some material to integrate le lectures and, eventually, get deeper in the field.

  • Notes for the first Lecture. If you want a more in depth presentation of symplectic cones, look at Ergodicity in Hamiltonian Systems, C.Liverani, M. Wojtkowski, Dynamics Reported, 4, pp. 130-202, (1995). The last article also contains a lot of informations on how to establish ergodicity.
  • The material in the second Lecture an some form the third can be found in the book Transfer operators in Hyperbolic Dynamics An introduction, Mark Demers, Niloofar Kiamari and Carlangelo Liverani. 33 Colloquio Brasilero de Matematica. Brazilian Mathematics Colloquiums series, Editora do IMPA. pp.252 (2021).
  • The material in the third can be found in the paper Projective Cones for Generalized Dispersing Billiards, Mark Demers, Carlangelo Liverani. Communication in Mathematical Physics, 401 (2023), no. 1, 841--923.

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