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math.DS2025
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…
math.MG2025
-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…
math.DS2025★ 1 cited
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…