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.
Accepté le :
Publié le :
Frédéric Klopp 1
@article{CRMATH_2002__335_1_87_0,
author = {Fr\'ed\'eric Klopp},
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},
}
Frédéric Klopp. Une remarque à propos des asymptotiques de Lifshitz internes. Comptes Rendus. Mathématique, Volume 335 (2002) no. 1, pp. 87-92. doi : 10.1016/S1631-073X(02)02415-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02415-9/
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