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홈 > 학술정보 >학술행사 > 세미나
2017 KAIST Math. Colloquium

Title
Global Dynamics Beyond Hyperbolicity
Speaker
이건희   (충남대학교 )
Date
2017-11-09 16:15:00
Host
KAIST
Place
Room 1501, Building E6-1
Abstract
Hyperbolic dynamical systems are nowadays fairly well understood from the topological and ergodic point of view. In this talk, we discuss some recent and ongoing works on the dynamics beyond hyperbolicity. In the first part, we will provide a characterization of robustly shadowable chain transitive sets for C1-vector fields on compact smooth manifolds. In the second part, we extend the concepts of topological stability and pseudo-orbit tracing property from homeomorphisms to Borel measures, and prove that every expansive measure with the pseudo-orbit tracing property is topologically stable. This represents a measurable version of the stability theorem by Peter Walters. The first part is joint work with M. Reza, and the second part is joint work with C.A. Morales.
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