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Dirac physical measures for generic diffeomorphisms
Bruno Santiagosubject
Theoretical computer scienceGeneral Mathematics[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]010102 general mathematicsDirac (software)[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Generic diffeomorphismsMSC: 37C05 37C20 37D30Dynamical Systems (math.DS)01 natural sciencesComputer Science ApplicationsPhysical measures0103 physical sciencesFOS: Mathematics010307 mathematical physicsDiffeomorphismMathematics - Dynamical Systems0101 mathematicsPhysics::Atmospheric and Oceanic PhysicsMathematicsMathematical physicsdescription
We prove that, for a $C^1$ generic diffeomorphism, the only Dirac physical measures with dense statistical basin are those supported on sinks.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-09-13 |