5 citations · 5 across the 4 of their papers we have counts for
5 papers
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…
Optimal Approximation Complexity of High-Dimensional Functions with Neural Networks
Vincent P. H. Goverse, Jad Hamdan, Jared Tanner
We investigate properties of neural networks that use both ReLU and as activation functions and build upon previous results to show that both analytic functions and functions…
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape
Matheus M. Castro, Vincent P. H. Goverse, Jeroen S. W. Lamb +1
In this paper, we consider absorbing Markov chains admitting a quasi-stationary measure on where the transition kernel admits an eigenfunction $0\leq η\i…