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STAFF   Jeroen Lamb     Martin Rasmussen     Dmitry Turaev     Sebastian van Strien   HONORARY STAFF Boumediene Hamzi Tiago Pereira POSTDOCS Konstantinos Kourliouros Dongchen Li Iacopo Longo Eeltje Nijholt Wei Hao Tey PHD STUDENTS Bernat Bassols-Cornudella Chris Chalhoub Hugo Chu Akshunna Dogra Michal Fedorowicz Emilia Gibson Vincent Goverse Amir Khodaeian Karim Chek Lau Ziyu Li Tianyi Liu Dmitrii Mints John Parry Leon Staresinic Giuseppe Tenaglia VISITORS Ole Peters Cristina Sargent Bill Speares RELATED STAFF Mauricio Barahona Davoud Cheraghi Martin Hairer Darryl Holm Xue-Mei Li Greg Pavliotis Kevin Webster

PROFESSOR JEROEN LAMB Professor in Mathematics Phone: +44(207)59-48502 Room: 638 Huxley Building PHD STUDENTS Bernat Bassols-Cornudella Chris Chalhoub Hugo Chu Akshunna Dogra Michal Fedorowicz Emilia Gibson Vincent Goverse Chek Lau Ziyu Li Tianyi Liu John Parry Giuseppe Tenaglia POSTDOCS Konstantinos Kourliouros Eeltje Nijholt Wei Hao Tey

Admin Management committee, EPSRC Centre for Doctoral Training in the Mathematics of Random Systems", 2019-. Coordinator, EU HORIZON 2020 - Innovative Research Training Network (ITN) "Critical Transitions in Complex Systems" (CRITICS), 2015-2019. Coordinator, EU FP7 - International Research Staff Exchange Scheme (IRSES) "Brazilian-European partnership in Dynamical Systems" (BREUDS), 2013-2016. Director of Research, Department of Mathematics, 2009-2016. Secundary affiliations London Mathematical Laboratory, UK (external fellow; since 2017) International Research Center for Neurointelligence, The University of Tokyo, Japan (affiliated faculty; since 2021) Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Kuwait (external research fellow; since 2023) Teaching Dynamical Systems (fall 2021; material on Imperial College Blackboard) Random Dynamical Systems and Ergodic Theory (spring 2022) Events 2nd Symposium on Machine Learning and Dynamical Systems, 21-29/9/2020, Fields Institute, Toronto. Workshop on Critical Transitions in Complex System, 29-31/07/2020, online. Critical Transitions in Complex Systems (CRITICS) Conference, 25-29/03/2019, Imperial College London. Workshop on Random Dynamical Systems, 20-22/3/19, Imperial College London. Symposium on Machine Learning and Dynamical Systems, 11-13/2/2019, Imperial College London. Graduate course on Deep Learning (2018) (organized by Kevin Webster). Lorentz Center: Workshop on Random Dynamical Systems, 4-8/12/2017 Prof. Edgar Knobloch's Nelder lectures on pattern formation, May 23-27, 2016: Lectures 1-8, Lecture 9,Lecture 10 Research Local and global bifurcation theory Aperiodic tilings (Quasicrystals, tiling dynamical systems) Random dynamical systems Network dynamical systems Machine learning and dynamical systems Recent publications (all) Maxime Breden, Hugo Chu, Jeroen S. W. Lamb, and Martin Rasmussen, Rigorous enclosure of Lyapunov exponents of stochastic flows. DynamIC Preprint 2024-3 Jeroen S. W. Lamb, Guillermo Olicon-Mendez, and Martin Rasmussen, Tail behaviour of stationary densities for one-dimensional random diffeomorphisms. DynamIC Preprint 2024-2 Jeroen S. W. Lamb, Martin Rasmussen, and Wei Hao Tey, Attractors of Linear Maps with Bounded Noise. DynamIC Preprint 2023-2 Konstantinos Kourliouros, Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey, Kalle G. Timperi, and Dmitry Turaev, Persistence of minimal invariant sets for certain set-valued dynamical systems: a boundary mapping approach. DynamIC Preprint 2023-1 Matheus M. Castro, Dennis Chemnitz, Hugo Chu, Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, The Lyapunov spectrum for conditioned random dynamical systems. DynamIC Preprint 2022-1 Jeroen S. W. Lamb, Martin Rasmussen, and Kalle Timperi, On boundaries of epsilon-neighbourhoods of planar sets, Part II: global structure and curvature. DynamIC Preprint 2021-2 Jeroen S. W. Lamb, Martin Rasmussen, and Kalle Timperi, On boundaries of epsilon-neighbourhoods of planar sets, Part I: Singularities. DynamIC Preprint 2020-7 Mickael D. Chekroun, Jeroen S.W. Lamb, Christian J. Pangerl, and Martin Rasmussen, A Girsanov approach to slow parameterizing manifolds in the presence of noise. DynamIC Preprint 2019-7 Thai Son Doan, Jeroen S.W. Lamb, Julian Newman, and Martin Rasmussen, Classification of random circle homeomorphisms up to topological conjugacy. DynamIC Preprint 2018-3 Matheus M. Castro, Vincent P. H. Goverse, Jeroen S. W. Lamb, and Martin Rasmussen, On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape, Ergodic Theory and Dynamical Systems 44, 7 (2024), 1818−1855. Article MathSciNet Preprint Matheus M. Castro, Jeroen S. W. Lamb, Guillermo Olicón-Méndez, and Martin Rasmussen, Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: a Banach lattice approach, Stochastic Processes and their Applications 173(2024), Paper No. 104364, 19. Article MathSciNet Preprint