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Pseudo-orbits, stationary measures and metastability
journal contribution
posted on 2016-11-24, 11:38 authored by Wael BahsounWael Bahsoun, Huyi Hu, Sandro VaientiWe characterize absolutely continuous stationary measures (acsms) of randomly perturbed dynamical systems in terms of pseudo-orbits linking the ergodic components of absolutely continuous invariant measures (acims) of the unperturbed system. We focus on those components, called least elements, which attract pseudo-orbits. Under the assumption that the transfer operators of both systems, the random and the unperturbed, satisfy a uniform Lasota-Yorke inequality on a suitable Banach space, we show that each least element is in a one-to-one correspondence with an ergodic acsm of the random system.
History
School
- Science
Department
- Mathematical Sciences
Published in
Dynamical SystemsVolume
29Issue
3Pages
322 - 336Citation
BAHSOUN, W., HU, H. and VAIENTI, S., 2014. Pseudo-orbits, stationary measures and metastability. Dynamical Systems, 29 (3), pp. 322 - 336.Publisher
© Taylor & FrancisVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2014Notes
This is an Accepted Manuscript of an article published in Dynamical Systems on 14 Mar 2014, available online: http://www.tandfonline.com/10.1080/14689367.2014.890172ISSN
1468-9367eISSN
1468-9375Publisher version
Language
- en