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Transactions of the American Mathematical Society

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Random minimality and continuity of invariant graphs in random dynamical systems


Authors: T. Jäger and G. Keller
Journal: Trans. Amer. Math. Soc. 368 (2016), 6643-6662
MSC (2010): Primary 37A30, 37H15, 34D45
DOI: https://doi.org/10.1090/tran/6591
Published electronically: December 18, 2015
MathSciNet review: 3461046
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Abstract: We study dynamical systems forced by a combination of random and deterministic noise and provide criteria, in terms of Lyapunov exponents, for the existence of random attractors with continuous structure in the fibres. For this purpose, we provide suitable random versions of the semiuniform ergodic theorem and also introduce and discuss some basic concepts of random topological dynamics.


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Additional Information

T. Jäger
Affiliation: Institut für Analysis, Technische Universität Dresden, Zellescher Weg 12-14, 01069 Dresden, Germany

G. Keller
Affiliation: Department Mathematik, Universität Erlangen-Nürnberg, 91058 Erlangen, Germany

DOI: https://doi.org/10.1090/tran/6591
Received by editor(s): July 9, 2013
Received by editor(s) in revised form: September 4, 2014
Published electronically: December 18, 2015
Article copyright: © Copyright 2015 American Mathematical Society