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Register a new userKinematic expansive suspensions of irrational rotations on the circle
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Authors
Shigenori Matsumoto
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We shall show that the rotation of some irrational rotation number on the circle admits suspensions which are kinematic expansive.
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We prove that a homeomorphism of a compact metric space has an expansive measure cite{ms} if and only if it has many ones with invariant support. We also study homeomorphisms for which the expansive measures are dense in the space of Borel probability measures. It is proved that these homeomorphisms exhibit a dense set of Borel probability measures which are expansive with full support. Therefore, their sets of heteroclinic points has no interior and the spaces supporting them have no isolated points.
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