Renormalization, Isogenies, and Rational Symmetries of Differential Equations-Reference-Cited by-同舟云学术

Renormalization, Isogenies, and Rational Symmetries of Differential Equations

Published:2010 Issue: Volume:2010 Page:1-44
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Bostan A.¹,Boukraa S.²,Hassani S.³,Maillard J.-M.⁴,Weil J.-A.⁵,Zenine N.³,Abarenkova N.⁶

Affiliation:

1. INRIA Paris-Rocquencourt, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France

2. LPTHIRM and Département d'Aéronautique, Université de Blida, 09470 Blida, Algeria

3. Centre de Recherche Nucléaire d’Alger, 2 Boulevard. Frantz Fanon, BP 399, 16000 Alger, Algeria

4. LPTMC, UMR 7600 CNRS, Université de Paris, Tour 24, 4ème étage, case 121, 4 Place Jussieu, 75252 Paris Cedex 05, France

5. XLIM, Université de Limoges, 123 avenue Albert Thomas, 87060 Limoges Cedex, France

6. St Petersburg Department of Steklov Institute of Mathematics, 27 Fontanka, 191023 St. Petersburg, Russia

Abstract

We give an example of infinite-order rational transformation that leaves a linear differential equation covariant. This example can be seen as a nontrivial but still simple illustration of an exact representation of the renormalization group.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2010/941560.pdf

Reference47 articles.

1. Renormalization group theory: Its basis and formulation in statistical physics

2. Singularities ofn-fold integrals of the Ising class and the theory of elliptic curves

3. Automorphisms of algebraic varieties and Yang–Baxter equations

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