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http://dx.doi.org/10.4134/CKMS.c180538

TOPOLOGICALLY STABLE MEASURES IN NON-AUTONOMOUS SYSTEMS  

Das, Pramod (Department of Mathematics Faculty of Mathematical Sciences University of Delhi)
Das, Tarun (Department of Mathematics Faculty of Mathematical Sciences University of Delhi)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.1, 2020 , pp. 287-300 More about this Journal
Abstract
We introduce and study notions of expansivity, topological stability and persistence for Borel measures with respect to time varying bi-measurable maps on metric spaces. We prove that on Mandelkern locally compact metric spaces expansive persistent measures are topologically stable in the class of all time varying homeomorphisms.
Keywords
Expansive homeomorphisms; expansive measures; shadowing; persistence; topological stability;
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