Distortion estimates for planar diffeomorphisms | Zendy

Sheldon E. Newhouse | Zendy

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Distortion estimates for planar diffeomorphisms

Author(s) -

Sheldon E. Newhouse

Publication year - 2008

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2008.22.345

Subject(s) - distortion (music) , planar , plane (geometry) , mathematics , composition (language) , pure mathematics , computer science , mathematical analysis , geometry , computer network , amplifier , linguistics , philosophy , computer graphics (images) , bandwidth (computing)

We define new distortion quantities for diffeomorphisms of the Euclidean plane and study their properties. In particular, we obtain composition rules for these quantities analogous to standard rules for maps of an interval. Our results apply to maps with unbounded derivatives and have important applications in the theory of SRB measures for surface diffeomorphisms.

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