Speaker
Prof.
Irene De Blasi
(Università di Torino)
Description
In recent years, a large community of mathematicians has become increasingly interested in the study of billiards with potential, investigating how the transition from straight geodesics to curved ones can influence the overall dynamics. In particular, the presence of singularities can greatly enrich the dynamics, leading to chaotic phenomena not observed in the case of classical billiards. In this talk, we propose the construction of chaotic dynamics in billiard systems with a central potential, demonstrating how, in various cases, the existence of a symbolic dynamics (and thus of positive topological entropy) can be proven.
Works in collaboration with S. Baranzini, V. Barutello, A.M. Cherubini, A. Takeuchi and S. Terracini.