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math.DS2015
Synchronisation of almost all trajectories of a random dynamical system
Julian Newman
It has been shown by Le Jan that, given a memoryless-noise random dynamical system together with an ergodic distribution for the associated Markov transition probabilities, if the…
math.DS2015★ 2 cited
Synchronisation in Invertible Random Dynamical Systems on the Circle
Julian Newman
In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consi…