Le but de cette Note est de signaler l'existence d'une transition entre les régime classique et quantiques pour les estimées de Lifshitz, transition dont le paramètre est le comportement extrémal des variables aléatoires.
In this short Note, we show a transition between the classical and the quantum regime for Lifshitz tails. The parameter governing this transition is the decay of the distribution function of the random variables at the edges of its support.
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@article{CRMATH_2002__335_1_87_0,
author = {Klopp, Fr\'ed\'eric},
title = {Une remarque \`a propos des asymptotiques de {Lifshitz} internes},
journal = {Comptes Rendus. Math\'ematique},
pages = {87--92},
publisher = {Elsevier},
volume = {335},
number = {1},
year = {2002},
doi = {10.1016/S1631-073X(02)02415-9},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(02)02415-9/}
}
TY - JOUR AU - Klopp, Frédéric TI - Une remarque à propos des asymptotiques de Lifshitz internes JO - Comptes Rendus. Mathématique PY - 2002 SP - 87 EP - 92 VL - 335 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(02)02415-9/ DO - 10.1016/S1631-073X(02)02415-9 LA - fr ID - CRMATH_2002__335_1_87_0 ER -
%0 Journal Article %A Klopp, Frédéric %T Une remarque à propos des asymptotiques de Lifshitz internes %J Comptes Rendus. Mathématique %D 2002 %P 87-92 %V 335 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(02)02415-9/ %R 10.1016/S1631-073X(02)02415-9 %G fr %F CRMATH_2002__335_1_87_0
Klopp, Frédéric. Une remarque à propos des asymptotiques de Lifshitz internes. Comptes Rendus. Mathématique, Tome 335 (2002) no. 1, pp. 87-92. doi : 10.1016/S1631-073X(02)02415-9. http://www.numdam.org/articles/10.1016/S1631-073X(02)02415-9/
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