Renormalization of exponential sums and matrix cocycles
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2004-2005), Talk no. 16, 10 p.

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

Dans cet article, nous présentons un nouveau point de vue sur la renormalisation de certaines sommes exponentielles issues de la théorie des nombres. Nous généralisons cette procédure pour étudier certains cocycles matriciels liés à des problèmes spectraux de la mécanique quantique.

Classification: 34E05,  34E20,  34L05,  34L40
Keywords: exponential sums, matrix cocycles, monodromy matrix
Fedotov, Alexander 1; Klopp, Frédéric 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
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Fedotov, Alexander; Klopp, Frédéric. Renormalization of exponential sums and matrix cocycles. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2004-2005), Talk no. 16, 10 p. http://archive.numdam.org/item/SEDP_2004-2005____A16_0/

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