Renormalization of exponential sums and matrix cocycles

Alexander Fedotov[1]; Frédéric Klopp[2]

  • [1] Departement of Mathematical Physics, St Petersburg State University, 1, Ulianovskaja, 198904 St Petersburg-Petrodvorets, Russia
  • [2] LAGA, Institut Galilée, U.R.A 7539 C.N.R.S, Université de Paris-Nord, Avenue J.-B. Clément, F-93430 Villetaneuse, France

Séminaire Équations aux dérivées partielles (2004-2005)

  • Volume: 2004-2005, page 1-10

Abstract

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In this paper, we present a new point of view on the renormalization of some exponential sums stemming from number theory. We generalize this renormalization procedure to study some matrix cocycles arising in spectral problems of quantum mechanics

How to cite

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Fedotov, Alexander, and Klopp, Frédéric. "Renormalization of exponential sums and matrix cocycles." Séminaire Équations aux dérivées partielles 2004-2005 (2004-2005): 1-10. <http://eudml.org/doc/11105>.

@article{Fedotov2004-2005,
abstract = {In this paper, we present a new point of view on the renormalization of some exponential sums stemming from number theory. We generalize this renormalization procedure to study some matrix cocycles arising in spectral problems of quantum mechanics},
affiliation = {Departement of Mathematical Physics, St Petersburg State University, 1, Ulianovskaja, 198904 St Petersburg-Petrodvorets, Russia; LAGA, Institut Galilée, U.R.A 7539 C.N.R.S, Université de Paris-Nord, Avenue J.-B. Clément, F-93430 Villetaneuse, France},
author = {Fedotov, Alexander, Klopp, Frédéric},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {exponential sums; matrix cocycles; monodromy matrix},
language = {eng},
pages = {1-10},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Renormalization of exponential sums and matrix cocycles},
url = {http://eudml.org/doc/11105},
volume = {2004-2005},
year = {2004-2005},
}

TY - JOUR
AU - Fedotov, Alexander
AU - Klopp, Frédéric
TI - Renormalization of exponential sums and matrix cocycles
JO - Séminaire Équations aux dérivées partielles
PY - 2004-2005
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2004-2005
SP - 1
EP - 10
AB - In this paper, we present a new point of view on the renormalization of some exponential sums stemming from number theory. We generalize this renormalization procedure to study some matrix cocycles arising in spectral problems of quantum mechanics
LA - eng
KW - exponential sums; matrix cocycles; monodromy matrix
UR - http://eudml.org/doc/11105
ER -

References

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