@article{2722,
abstract = {A version of the one-dimensional Rayleigh gas is considered: a point particle of mass M (molecule), confined to the unit interval [0,1], is surrounded by an infinite ideal gas of point particles of mass 1 (atoms). The molecule interacts with the atoms and with the walls via elastic collision. Central limit theorems are proved for a wide class of additive functionals of this system (e.g. the number of collisions with the walls and the total length of the molecular path).},
author = {Erdös, László and Tuyen, Dao},
issn = {0010-3616},
journal = {Communications in Mathematical Physics},
number = {3},
pages = {451 -- 466},
publisher = {Springer},
title = {{Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers}},
doi = {10.1007/BF02099260},
volume = {143},
year = {1992},
}