Manchester Geometry Seminar - Konstantinos Kourliouros
| Dates: | 9 March 2026 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Konstantinos Kourliouros (Imperial)
Title: Dynamical Propagation of Uncertainty: Contact Geometry, Statistics and Legendrian Singularities.
Abstract: In this talk I will present a newly established contact geometric theory underlying the dynamical propagation of uncertainty in random dynamical systems with bounded noise. Using this theory, the main focus will be on the structural properties of the (deterministic) attractors of such random dynamical systems, and how these reflect the fundamental statistical features of the orbits, in terms of stationary probability measures. I will present recent results on the regularity/singularities of such attractors in terms of Legendrian fronts, their stability under small perturbations, as well as several local and global bifurcation scenaria, also observed in prototypical numerical studies. Finally, I will discuss new directions and challenges, relating the study of attractors in random dynamical systems with contact geometry, topology and singularity theory.
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Frank Adams Room 1
Alan Turing Building
Manchester
