3 papers
math.PR2024
Diffusion of the random Lorentz process in a magnetic field
Christopher Lutsko, Balint Toth
Consider the motion of a charged, point particle moving in the complement of a Poisson distribution of hard sphere scatterers in two dimensions under the effect of a fixed magnetic…
math.PR2019
Invariance Principle for the Random Wind-Tree Process
Christopher Lutsko, Bálint Tóth
Consider a point particle moving through a Poisson distributed array of cubes all oriented along the axes - the random wind-tree model introduced in Ehrenfest-Ehrenfest (1912). We…
math.PR2018
Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit
Christopher Lutsko, Bálint Tóth
We prove the invariance principle for a \emph{random Lorentz-gas} particle in 3 dimensions under the Boltzmann-Grad limit and simultaneous diffusive scaling. That is, for the traje…