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math.DS2026
Ergodic invariant measures of order preserving random dynamical systems on the real line are Dirac measures
Hans Crauel
It is well known that ergodic invariant measures for order preserving two-sided time random dynamical systems(RDS) on the real line are Dirac. In the present note this…
math.DS2017
Minimal Random Attractors
Hans Crauel, Michael Scheutzow
It is well-known that random attractors of a random dynamical system are generally not unique. We show that for general pullback attractors and weak attractors, there is always a m…