DynamIC – Dynamical Systems at Imperial College London (DynamIC)

Name	Title	Date	Time	Room
Cecilia González-Tokman (University of Queensland)	Universal gap growth for Lyapunov exponents of perturbed matrix productsAbstract: In this talk, we address the question of quantitative simplicity of the Lyapunov spectrum of bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we show explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation. In arbitrary dimensions, we establish existence of a universal lower bound on these gaps. A novelty of this work is that the bounds provided are uniform over all choices of the original sequence of matrices, making no stationarity assumptions. Hence, our results apply to random and sequential dynamical systems alike. (Joint work with Jason Atnip, Gary Froyland and Anthony Quas.)	Tuesday, 15 July 2025	13:00	HXLY 145

DynamIC Workshops and Mini-Courses (Complete List)

Title	Date	Venue
CHAOS (Homoclinic Bifurcations, Strange Attractors, Arnold Diffusion, Fermi Acceleration, Solitons)	Sunday, 24 September 2023 – Friday, 29 September 2023	Nesin Math Village, Izmir, Turkey
Mini-Workshop on Heterodimensional Dynamics	Wednesday, 2 November 2022	Imperial College London

Name	Affiliation	Arrival	Departure	Host
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