Renormalization, Isogenies, and Rational Symmetries of Differential Equations

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.

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Bibliographic Details
Published in:Advances in mathematical physics 2010-01, Vol.2010 (2010), p.1-44
Main Authors: Boukraa, S., Bostan, A., Hassani, S., Maillard, J.-M., Weil, J.-A., Zenine, N., Abarenkova, N.
Format: Article
Language:English
Subjects:
Differential equations
Dynamical systems
Generators
Illustrations
Leaves
Magnetic fields
Mathematical analysis
Phase transitions
Representations
Symmetry
Transformations
Variables
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Description
Summary: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2010/941560