49 citations · 187 across the 23 of their papers we have counts for
26 papers
Smooth Persistence of Attractors for Set-Valued Dynamical Systems: A Boundary Map Approach
K. Kourliouros, J. S. W. Lamb, M. Rasmussen +3
We study the problem of persistence of attractors with smooth boundary for a class of set-valued dynamical systems that naturally arise in the context of random and control dynamic…
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…
The conditioned Lyapunov spectrum for random dynamical systems
Matheus M. Castro, Dennis Chemnitz, Hugo Chu +3
We establish the existence of a full spectrum of Lyapunov exponents for memoryless random dynamical systems with absorption. To this end, we crucially embed the process conditioned…
Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: a Banach lattice approach
Matheus M. Castro, Jeroen S. W. Lamb, Guillermo Olicón-Méndez +1
We establish the existence and uniqueness of quasi-stationary and quasi-ergodic measures for almost surely absorbed discrete-time Markov chains under weak conditions. We obtain our…
Rate-induced tipping and saddle-node bifurcation for a class of quadratic differential equations with nonautonomous asymptotic dynamics
Iacopo P. Longo, Carmen Núñez, Rafael Obaya +1
An in-depth analysis of nonautonomous bifurcations of saddle-node type for scalar differential equations , where and $p\colon…
On Boundaries of -neighbourhoods of Planar Sets, Part II: Global Structure and Curvature
Jeroen S. W. Lamb, Martin Rasmussen, Kalle Timperi
We study the global topological structure and smoothness of the boundaries of -neighbourhoods $E_\varepsilon = \{x \in \mathbb{R}^2 \, : \, \textrm{dist}(x, E) \leq \v…