Random perturbations of hyperbolic dynamics

Dorsch F, Schulz-Baldes H (2019)

Publication Language: English

Publication Type: Journal article

Publication year: 2019

Journal

Electronic Journal of Probability Institute of Mathematical Statistics (IMS): OAJ / Institute of Mathematical Statistics

Book Volume: 24

Pages Range: 23 pp.

Journal Issue: 89

DOI: 10.1214/19-EJP340

Open Access Link: https://projecteuclid.org/download/pdfview_1/euclid.ejp/1568080869

Abstract

A sequence of large invertible matrices given by a small random perturbation around a fixed diagonal and positive matrix induces a random dynamics on a high-dimensional sphere. For a certain class of rotationally invariant random perturbations it is shown that the dynamics approaches the stable fixed points of the unperturbed matrix up to errors even if the strength of the perturbation is large compared to the relative increase of nearby diagonal entries of the unperturbed matrix specifying the local hyperbolicity.

Authors with CRIS profile

Florian Dorsch Professur für Mathematik (Mathematische Physik) Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

How to cite

APA:

Dorsch, F., & Schulz-Baldes, H. (2019). Random perturbations of hyperbolic dynamics. Electronic Journal of Probability, 24(89), 23 pp.. https://dx.doi.org/10.1214/19-EJP340

MLA:

Dorsch, Florian, and Hermann Schulz-Baldes. "Random perturbations of hyperbolic dynamics." Electronic Journal of Probability 24.89 (2019): 23 pp.

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