[Author]
 Vladislav Vysotsky

[Title]
 A functional limit theorem for the position of a particle
 in a Lorentz type model

[AMS Subj-class]
 60K37 Processes in random environments

[Abstract]
 Consider a particle moving through a random medium, which consists
 of spherical obstacles, randomly distributed in $\R^3$.
 The particle is accelerated by a constant external field; when
 colliding with an obstacle, the particle inelastically reflects.
 We study the asymptotics of $X(t)$, which denotes the position of
 the particle at time $t$, as $t \to \infty$. The result is a
 functional limit theorem for $X(t)$.

[Keywords]
 Lorentz model, motion in random medium, functional central limit theorem
 for Markov chains, limit theorems

[Comments]
 LaTeX, English, 19 pp.
 The paper is accepted to "Markov Processes and Related Fields".

[Contact e-mail]
 vysotsky@vv9034.spb.edu