CRM – SNS.<\/p>\n
In this talk I present some differential equation perturbed by the fast motion of a <\/span>particle <\/span>in a cylinder corresponding to the <\/span><\/span>Z<\/span><\/span>-periodic Lorentz gas, a model introduced by H.A Lorentz in 1905. I will discuss there are one of the natural ways to extend the perturbed differential equations studied by Y.<\/span>Kifer<\/span> and <\/span>Khasminskii<\/span> for probability preserving Billiard transformations, to the infinite measure preserving Lorentz gas. I will state a limit theorem providing the rate of convergence of the solution of the perturbed equation to a solution of an averaged ordinary differential equation. After explaining the main features of the limit process, I will give some idea of the proof based on the statement of a limit theorem for a non-stationary <\/span>ergodic<\/span> sum on a <\/span><\/span>Z<\/span><\/span>-periodic Lorentz gas<\/span><\/span><\/p>\n Further information is available on the event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":" In this talk I present some differential equation perturbed by the fast motion of a particle in a cylinder corresponding to the Z-periodic Lorentz gas, a model introduced by H.A Lorentz in 1905. I will discuss there are one of the natural ways to…<\/p>\n