Cet exposé décrit des résultats récents sur le comportement de Lifshitz de la densité d’états de certains modèles aléatoires non monotones. Ici, non monotone signifie que l’opérateur aléatoire n’est pas une fonction monotone des variables aléatoires. L’essentiel des résultats sont obtenus pour des modèles d’Anderson continus ; néanmoins, certains résultats s’appliquent aussi aux modèles de déplacements aléatoires.
In this talk, we describe some recent results on the Lifshitz behavior of the density of states for non monotonous random models. Non monotonous means that the random operator is not a monotonous function of the random variables. The models we consider will mainly be of alloy type but in some cases we also can apply our methods to random displacement models.
@article{SEDP_2007-2008____A14_0,
author = {Klopp, Fr\'ed\'eric and Nakamura, Shu},
title = {Lifshitz tails for some non monotonous random models},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
note = {talk:14},
pages = {1--7},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2007-2008},
mrnumber = {2532949},
language = {en},
url = {http://www.numdam.org/item/SEDP_2007-2008____A14_0/}
}
TY - JOUR AU - Klopp, Frédéric AU - Nakamura, Shu TI - Lifshitz tails for some non monotonous random models JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:14 PY - 2007-2008 SP - 1 EP - 7 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_2007-2008____A14_0/ LA - en ID - SEDP_2007-2008____A14_0 ER -
%0 Journal Article %A Klopp, Frédéric %A Nakamura, Shu %T Lifshitz tails for some non monotonous random models %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:14 %D 2007-2008 %P 1-7 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_2007-2008____A14_0/ %G en %F SEDP_2007-2008____A14_0
Klopp, Frédéric; Nakamura, Shu. Lifshitz tails for some non monotonous random models. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2007-2008), Exposé no. 14, 7 p. http://www.numdam.org/item/SEDP_2007-2008____A14_0/
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