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Topologically stable measures in non-autonomous systems

Pramod Das|Tarun Das
대한수학회 (The Korean Mathematical Society)|2020.01|대한수학회논문집 (Communications of the KMS)|제35권 제1호|pp. 287-300|DOI 10.4134/CKMS.c180538

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키워드

shadowingpersistencetopological stabilityExpansive homeomorphismsexpansive measures
주제분류수학

초록

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.

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.

참고문헌 (11)

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