On the probability of the existenceof a localized basic state for a discrete Schr\"odinger equation with random potential, perturbed by a compact operator
Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 1, pp. 171-179
Voir la notice de l'article provenant de la source Math-Net.Ru
We derive a lower bound of the rate of convergence in the central limit theorem for real $m$-dependent random fields under the finiteness of the fifth absolute moments of summands.
Keywords:
central limit theorem, lower bound, $m$-dependent random field.
Mots-clés : convergence rate
Mots-clés : convergence rate
@article{TVP_1998_43_1_a13,
author = {J. Sunklodas},
title = {On the probability of the existenceof a localized basic state for a discrete {Schr\"odinger} equation with random potential, perturbed by a compact operator},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {171--179},
publisher = {mathdoc},
volume = {43},
number = {1},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a13/}
}
TY - JOUR AU - J. Sunklodas TI - On the probability of the existenceof a localized basic state for a discrete Schr\"odinger equation with random potential, perturbed by a compact operator JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1998 SP - 171 EP - 179 VL - 43 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a13/ LA - ru ID - TVP_1998_43_1_a13 ER -
%0 Journal Article %A J. Sunklodas %T On the probability of the existenceof a localized basic state for a discrete Schr\"odinger equation with random potential, perturbed by a compact operator %J Teoriâ veroâtnostej i ee primeneniâ %D 1998 %P 171-179 %V 43 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a13/ %G ru %F TVP_1998_43_1_a13
J. Sunklodas. On the probability of the existenceof a localized basic state for a discrete Schr\"odinger equation with random potential, perturbed by a compact operator. Teoriâ veroâtnostej i ee primeneniâ, Tome 43 (1998) no. 1, pp. 171-179. http://geodesic.mathdoc.fr/item/TVP_1998_43_1_a13/