33 citations · 41 across the 7 of their papers we have counts for
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math.PR2015★ 1 cited
A note on the "conditional triviality" property for regular conditional distributions
Julian Newman
We make the simple, and yet deep, observation that a regular conditional distribution (rcd) almost surely trivialises the conditioning -algebra if and only if there exists a "me…
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…