5 citations · 5 across the 4 of their papers we have counts for
3 papers · 1 filter
Atomic physical measures for non-invertible random dynamical systems
Vincent P. H. Goverse, Victor Kleptsyn
We construct an example of a random dynamical system on the circle, formed by maps that are only locally invertible, which possesses an atomic stationary measure . Moreover, thi…
Analytic Dependence of the Lyapunov Moment Function and the Projective Stationary Measure for Random Matrix Products
Christopher Chalhoub, Vincent P. H. Goverse, Jeroen S. W. Lamb +1
We consider the product of i.i.d. random matrices sampled according to a probability measure supported on a strongly irreducible and proximal subset of a compact set $S\subset…
Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms
Vincent P. H. Goverse, Ale Jan Homburg, Jeroen S. W. Lamb
We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamica…