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$C^1$ Approximation of Vector Fields Based on the Renormalization Group Method

โœ Scribed by Chiba, Hayato

Book ID
118203501
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
634 KB
Volume
7
Category
Article
ISSN
1536-0040

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## Abstract After summarizing some results on the group of diffeomorphisms of the circle Diff(S^1^), we consider the group of diffeomorphisms of the two dimensional torus Diff(S^1^ ร— S^1^). We give an expression for the bracket of vector fields on this group. With the trigonometric functions sin an