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Recurrence of particles in static and time varying oval billiards
(Elsevier B.V., 2012-04-16)
Dynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different ...
Dynamical and statistical properties of a rotating oval billiard
(Elsevier B.V., 2014-06-01)
Some dynamical and statistical properties of a time-dependent rotating oval billiard are studied. We considered cases with (i) positive and (ii) negative curvature for the boundary. For (i) we show the system does not ...
Quadratic integrals of geodesic flow, webs, and integrable billiards
(2021-03-01)
We present a geometric interpretation of integrability of geodesic flow by quadratic integrals in terms of the web theory and construct integrable billiards on surfaces admitting such integrals.
Evolution to the equilibrium in a dissipative and time dependent billiard
(2017-01-01)
We study the convergence towards the equilibrium for a dissipative and stochastic time-dependent oval billiard. The dynamics of the system is described by using a generic four dimensional nonlinear map for the variables: ...
Circular, elliptic and oval billiards in a gravitational field
(Elsevier B.V., 2015-05-01)
We consider classical dynamical properties of a particle in a constant gravitational force and making specular reflections with circular, elliptic or oval boundaries. The model and collision map are described and a detailed ...
Stochastic perturbations of convex billiards
(IOP Publishing, 2015-11)
We consider a strictly convex billiard table with C 2 boundary, with the dynamics subjected to random perturbations. Each time the billiard ball hits the boundary its reflection angle has a random perturbation. The ...
Bilhares planares
(Universidade Estadual Paulista (Unesp), 2012-03-02)
O objetivo principal deste trabalho e estudar a dinâmica de uma partícula pontual no interior de subconjuntos do plano. Tais sistemas são conhecidos na literatura como bilhares. Apresentaremos os principais conceitos desses ...
Tunneling and Electromagnetic Scattering in the Open Elliptic Quantum Billiard
(Instituto Tecnológico y de Estudios Superiores de Monterrey, 2015)
Quantitative error term in the counting problem on Veech wind-tree models
(Scuola Normale Superiore, 2020)
We study periodic wind-tree models, billiards in the plane endowed
with Z2-periodically located identical connected symmetric right-angled
obstacles. We exhibit e ective asymptotic formulas for the number of periodic
billiard ...
Bilhares planares
(Universidade Estadual Paulista (UNESP), 2014)