Diffeomorphisms with Shadowable Measures
Department of Mathematics, Tokushima University, Tokushima 770-8502, Japan
Department of Mathematics, Utsunomiya University, Utsunomiya 321-8505, Japan
Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan
Author to whom correspondence should be addressed.
Received: 8 November 2018 / Accepted: 5 December 2018 / Published: 7 December 2018
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing property from the measure theoretical view point, and the set of diffeomorphisms satisfying the notion is considered. The dynamics of the
-interior of the set of diffeomorphisms possessing the shadowable measures is characterized as the uniform hyperbolicity.
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MDPI and ACS Style
Moriyasu, K.; Sakai, K.; Sumi, N. Diffeomorphisms with Shadowable Measures. Axioms 2018, 7, 93.
Moriyasu K, Sakai K, Sumi N. Diffeomorphisms with Shadowable Measures. Axioms. 2018; 7(4):93.
Moriyasu, Kazumine; Sakai, Kazuhiro; Sumi, Naoya. 2018. "Diffeomorphisms with Shadowable Measures." Axioms 7, no. 4: 93.
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