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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 ...
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: ...
Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards
(Inst Mathematical StatisticsClevelandEUA, 2012)
Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains
(SpringerNew YorkEUA, 2008)
Time Dependent Billiards
(2021-01-01)
We discuss in this chapter some dynamical properties for time dependent billiards. We construct the equations of the mapping that describe the dynamics of the particles considering that the velocity of the particle is given ...
QUENCHED INVARIANCE PRINCIPLE FOR THE KNUDSEN STOCHASTIC BILLIARD IN A RANDOM TUBE
(Inst Mathematical StatisticsClevelandEUA, 2010)
Billiards in a General Domain with Random Reflections
(SPRINGEREstados Unidos, 2009)
Billiards in a General Domain with Random Reflections
(SPRINGER, 2009)
We study stochastic billiards on general tables: a particle moves according to its constant velocity inside some domain D R(d) until it hits the boundary and bounces randomly inside, according to some reflection law. We ...
Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
(SpringerNew YorkEUA, 2010)