Imperial College London


Faculty of Natural SciencesDepartment of Mathematics




+44 (0)20 7594 1424b.hamzi Website




654Huxley BuildingSouth Kensington Campus





My current research interests are the analysis of control and random dynamical systems in Reproducing Kernel Hilbert Spaces in view of developing data-based methods for the analysis and prediction of random dynamical systems and  control strategies for nonlinear systems on the basis of observed data (rather than a pre-described model). I am particularly interested in developing a qualitative theory for dynamical systems in reproducing kernel Hilbert spaces with applications to systems with critical transitions.

In general, my research interests lie at the intersection(s) of:

* Control Theory
* Deterministic Dynamical Systems
* Learning Theory/Machine Learning
* Random Dynamical Systems

with a particular emphasis on the following problems:




Haasdonk B, Hamzi B, Santin G, et al., 2021, Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem, Physica D-nonlinear Phenomena, Vol:427, ISSN:0167-2789

Hamzi B, Owhadi H, 2021, Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows, Physica D-nonlinear Phenomena, Vol:421, ISSN:0167-2789

Klus S, Nueske F, Hamzi B, 2020, Kernel-based approximation of the koopman generator and schrodinger operator, Entropy: International and Interdisciplinary Journal of Entropy and Information Studies, Vol:22, ISSN:1099-4300, Pages:1-22

More Publications