Martin Rasmussen

Imperial College London — United Kingdom

Engineering · Physical Sciences

22h-index2.6kcitations127works0.22yr avg
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Research Topics

Stability and Controllability of Differential Equations(39), Nonlinear Dynamics and Pattern Formation(35), Mathematical Dynamics and Fractals(22), Quantum chaos and dynamical systems(22), Stochastic processes and statistical mechanics(10)

Publications127 total

Analytic Dependence of the Lyapunov Moment Function and the Projective Stationary Measure for Random Matrix Products
arXiv (Cornell University)·2025Open Access
$\varepsilon$-neighbourhoods in the Plane with a Nowhere-smooth Boundary
arXiv (Cornell University)·2025Open Access
The conditioned Lyapunov spectrum for random dynamical systems
Annales de l Institut Henri Poincaré Probabilités et Statistiques·2025
Rate-induced phenomena in dynamical systems with attracting limit cycles
Chaos An Interdisciplinary Journal of Nonlinear Science·2025
Bifurcations of the Hénon map with additive bounded noise
arXiv (Cornell University)·2025Open Access
Return-time and pullback-convergence properties of statistical attractors
Nonlinearity·2025Open Access
The Morse spectrum for linear random dynamical systems
arXiv (Cornell University)·2024Open Access
Rigorous enclosure of Lyapunov exponents of stochastic flows
arXiv (Cornell University)·2024· 1 citedOpen Access
Tail behaviour of stationary densities for one-dimensional random diffeomorphisms
arXiv (Cornell University)·2024Open Access
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape – CORRIGENDUM
Ergodic Theory and Dynamical Systems·2024Open Access
Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: A Banach lattice approach
Stochastic Processes and their Applications·2024· 1 citedOpen Access
Attractors of Linear Maps with Bounded Noise
arXiv (Cornell University)·2023· 1 citedOpen Access
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape
Ergodic Theory and Dynamical Systems·2023· 4 cited
Pool dynamics of time-dependent compartmental systems with application to the terrestrial carbon cycle
Journal of The Royal Society Interface·2023· 9 citedOpen Access
Nonautonomous Bifurcation
Frontiers in applied dynamical systems: reviews and tutorials·2023
Introduction
Frontiers in applied dynamical systems: reviews and tutorials·2023
Reduction Techniques
Frontiers in applied dynamical systems: reviews and tutorials·2023
Nonautonomous Bifurcation
Frontiers in applied dynamical systems: reviews and tutorials·2023
Spectral Theory, Stability and Continuation
Frontiers in applied dynamical systems: reviews and tutorials·2023
Spectral Theory, Stability and Continuation
Frontiers in applied dynamical systems: reviews and tutorials·2023
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Frequent Co-authors

Christian Pötzsche(8), Jeroen S. W. Lamb(7), Yiqi Luo(6), Matthew J. Smith(6), Forrest M. Hoffman(6), Ying‐Ping Wang(6), Alan Hastings(5), Peter E. Kloeden(5), Benito M. Chen‐Charpentier(4), Belinda E. Medlyn(4), Katherine EO Todd-Brown(4), Folashade B. Agusto(4), Peter Giesl(4), Thai Son Doan(4), Sinikka Kyrönpalo(3), Jiang Jiang(3), Heikki Vapaatalo(2), Riitta Korpela(2), Katri Kaukinen(2), Pekka Collin(2)