1 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
-neighbourhoods in the Plane with a Nowhere-smooth Boundary
Jeroen S. W. Lamb, Martin Rasmussen, Kalle G. Timperi
We give an example of a planar set for which the boundary of its -neighbourhood $E_\varepsilon = \{x \in \mathbb{R}^2…
Bifurcations of the Hénon map with additive bounded noise
Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey
We numerically study bifurcations of attractors of the Hénon map with additive bounded noise with spherical reach. The bifurcations are analysed using a finite-dimensional boundary…
Rigorous enclosure of Lyapunov exponents of stochastic flows
Maxime Breden, Hugo Chu, Jeroen S. W. Lamb +1
We develop a powerful and general method to provide rigorous and accurate upper and lower bounds for Lyapunov exponents of stochastic flows. Our approach is based on computer-assis…
Tail behaviour of stationary densities for one-dimensional random diffeomorphisms
Jeroen S. W. Lamb, Guillermo Olicón-Méndez, Martin Rasmussen
We study the asymptotic behaviour of stationary densities of one-dimensional random diffeomorphisms, at the boundaries of their support, which correspond to deterministic fixed poi…
Attractors of Linear Maps with Bounded Noise
Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey
We consider invertible linear maps with additive spherical bounded noise. We show that minimal attractors of such random dynamical systems are unique, strictly convex and have a co…