A Limit Theorem for Brownian Motion in a Random Scenery
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 385-391
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We find the limiting distribution of , where {Bu}u≧0 is the standard Brownian motion on Rd, V is a particular random potential and {an }n≧1 is a normalizing sequence.
Mots-clés :
60J60, 60F05, Weak convergence, random scenery, Brownian motion
Remillard, Bruno; Dawson, Donald A. A Limit Theorem for Brownian Motion in a Random Scenery. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 385-391. doi: 10.4153/CMB-1991-061-1
@article{10_4153_CMB_1991_061_1,
author = {Remillard, Bruno and Dawson, Donald A.},
title = {A {Limit} {Theorem} for {Brownian} {Motion} in a {Random} {Scenery}},
journal = {Canadian mathematical bulletin},
pages = {385--391},
year = {1991},
volume = {34},
number = {3},
doi = {10.4153/CMB-1991-061-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-061-1/}
}
TY - JOUR AU - Remillard, Bruno AU - Dawson, Donald A. TI - A Limit Theorem for Brownian Motion in a Random Scenery JO - Canadian mathematical bulletin PY - 1991 SP - 385 EP - 391 VL - 34 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-061-1/ DO - 10.4153/CMB-1991-061-1 ID - 10_4153_CMB_1991_061_1 ER -
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