Random minimality and continuity of invariant graphs in random dynamical systems

Keller G, Jäger T (2012)

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Transactions of the American Mathematical Society American Mathematical Society

Publisher: American Mathematical Society

Book Volume: 368

Pages Range: 6643--6662

Journal Issue: 9

DOI: 10.1090/tran/6591

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.

Authors with CRIS profile

Gerhard Keller Professur für Angewandte Mathematik (Angewandte Analysis)

How to cite

APA:

Keller, G., & Jäger, T. (2012). Random minimality and continuity of invariant graphs in random dynamical systems. Transactions of the American Mathematical Society, 368(9), 6643--6662. https://dx.doi.org/10.1090/tran/6591

MLA:

Keller, Gerhard, and Tobias Jäger. "Random minimality and continuity of invariant graphs in random dynamical systems." Transactions of the American Mathematical Society 368.9 (2012): 6643--6662.

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