SRB measures for attractors with continuous invariant splittings

SRB measures for attractors with continuous invariant splittings We study the existence of SRB measures of $$C^2$$ C 2 diffeomorphisms for attractors whose bundles admit Hölder continuous invariant (non-dominated) splittings. We prove the existence when one sub-bundle has the non-uniform expanding property on a set with positive Lebesgue measure and the other sub-bundle admits non-positive Lyapunov exponents on a total probability set. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

SRB measures for attractors with continuous invariant splittings

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
D.O.I.
10.1007/s00209-017-1883-2
Publisher site
See Article on Publisher Site

Abstract

We study the existence of SRB measures of $$C^2$$ C 2 diffeomorphisms for attractors whose bundles admit Hölder continuous invariant (non-dominated) splittings. We prove the existence when one sub-bundle has the non-uniform expanding property on a set with positive Lebesgue measure and the other sub-bundle admits non-positive Lyapunov exponents on a total probability set.

Journal

Mathematische ZeitschriftSpringer Journals

Published: Mar 28, 2017

References

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