Lifshitz tails for some non monotonous random models

Frédéric Klopp[1]; Shu Nakamura[2]

  • [1] LAGA, U.M.R. 7539 C.N.R.S, Institut Galilée, Université de Paris-Nord, 99 Avenue J.-B. Clément, F-93430 Villetaneuse, France et Institut Universitaire de France
  • [2] Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, Japan 153-8914

Séminaire Équations aux dérivées partielles (2007-2008)

  • Volume: 2007-2008, page 1-7

Abstract

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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.

How to cite

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Klopp, Frédéric, and Nakamura, Shu. "Lifshitz tails for some non monotonous random models." Séminaire Équations aux dérivées partielles 2007-2008 (2007-2008): 1-7. <http://eudml.org/doc/11170>.

@article{Klopp2007-2008,
abstract = {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.},
affiliation = {LAGA, U.M.R. 7539 C.N.R.S, Institut Galilée, Université de Paris-Nord, 99 Avenue J.-B. Clément, F-93430 Villetaneuse, France et Institut Universitaire de France; Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, Japan 153-8914},
author = {Klopp, Frédéric, Nakamura, Shu},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {non monotonous random models; Lifshitz tails; random Schrödinger operator},
language = {eng},
pages = {1-7},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Lifshitz tails for some non monotonous random models},
url = {http://eudml.org/doc/11170},
volume = {2007-2008},
year = {2007-2008},
}

TY - JOUR
AU - Klopp, Frédéric
AU - Nakamura, Shu
TI - Lifshitz tails for some non monotonous random models
JO - Séminaire Équations aux dérivées partielles
PY - 2007-2008
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2007-2008
SP - 1
EP - 7
AB - 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.
LA - eng
KW - non monotonous random models; Lifshitz tails; random Schrödinger operator
UR - http://eudml.org/doc/11170
ER -

References

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