Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2018.12.27
  • Accepted : 2019.03.15
  • Published : 2020.01.31
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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.

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References

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