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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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참고문헌 (11)
참고문헌 신청
D. V. Anosov / 1970 / On a class of invariant sets of smooth dynamical systems / Proc. 5th Int. Conf. on Nonlin. Oscill 2:39~45
A. Arbieto / 2014 / Some properties of positive entropy maps / Ergodic Theory Dynam. Systems 34(3):765~776
S. K. Choi / 1991 / Recurrence in persistent dynamical sys-tems / Bull. Aust. Math. Soc 43(3):509~517
M. B. Feldman / 1981 / A proof of Lusin's theorem / Amer. Math. Monthly 88(3):191~192
K. Lee / 2017 / Topological stability and pseudo-orbit tracing property for expansive measures / J. Differential Equations 262(6):3467~3487
A. Arbieto / 2014 / Some properties of positive entropy maps / Ergodic Theory Dynam. Systems 34(3):765~776
S. K. Choi / 1991 / Recurrence in persistent dynamical sys-tems / Bull. Aust. Math. Soc 43(3):509~517
M. B. Feldman / 1981 / A proof of Lusin's theorem / Amer. Math. Monthly 88(3):191~192
K. Lee / 2017 / Topological stability and pseudo-orbit tracing property for expansive measures / J. Differential Equations 262(6):3467~3487
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