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Title: Sets of Invariant Measures and Cesaro Stability Authors: ID Kryzhevich, Sergey, University of Nova Gorica (Author) Files: This document has no files that are freely available to the public. This document may have a physical copy in the library of the organization, check the status via COBISS.  Language: English Work type: Not categorized Typology: 1.01 - Original Scientific Article Organization: UNG - University of Nova Gorica Abstract: We take a space X of dynamical systems that could be: homeomorphisms or continuous maps of a compact metric space K or diffeomorphisms of a smooth manifold or actions of an amenable group. We demonstrate that a typical dynamical system of X is a continuity point for the set of probability invariant measures considered as a function of a map, let Y be the set of all such continuity points. As a corollary we prove that for typical dynamical systems average values of continuous functions calculated along trajectories do not drastically change if the system is perturbed. Keywords: ergodic theory, invariant measures, shadowing, stability, tolerance stability, topological dynamics Year of publishing: 2017 Number of pages: 133-147 Numbering: 3 PID: 20.500.12556/RUNG-3289-b78bff31-8f87-688a-83c3-7caafab9609a  COBISS.SI-ID: 4924923  NUK URN: URN:SI:UNG:REP:CGPCG6IR Publication date in RUNG: 02.10.2017 Views: 4522 Downloads: 0 Metadata:    Cite this work Plain text BibTeX EndNote XML EndNote/Refer RIS ABNT ACM Ref AMA APA Chicago 17th Author-Date Harvard IEEE ISO 690 MLA Vancouver : Copy citation

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Record is a part of a journal

Title:	Differential Equations and Control Processes
Year of publishing:	2017
ISSN:	1817-2172

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License:	CC BY-NC-SA 4.0, Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International
Link:	http://creativecommons.org/licenses/by-nc-sa/4.0/
Description:	A Creative Commons license that bans commercial use and requires the user to release any modified works under this license.
Licensing start date:	30.09.2017

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