A joint generalization of Harris-Spitzer's and Szatzschneider's one-dimensional collision models is given and for the path of a given particle an approximation is obtained.
@article{1176994568,
author = {Major, Peter and Szasz, Domokos},
title = {On the Effect of Collisions on the Motion of an Atom in $R^1$},
journal = {Ann. Probab.},
volume = {8},
number = {6},
year = {1980},
pages = { 1068-1078},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994568}
}
Major, Peter; Szasz, Domokos. On the Effect of Collisions on the Motion of an Atom in $R^1$. Ann. Probab., Tome 8 (1980) no. 6, pp. 1068-1078. http://gdmltest.u-ga.fr/item/1176994568/