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DynamIC Seminars
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Name
Title
Date
Time
Room
Tommaso Cornelis Rosati (Imperial College London)
Lyapunov exponents for linear cocycles driven by stochastic Navier-Stokes
Abstract:
We provide the first convergence result for finite time Lyapunov exponents of Passive Scalar Advection and Linearized Stochastic Navier-Stokes (two linear cocycles driven by the stochastic Navier-Stokes equations). The proof is based on establishing unique ergodicity for a Markov process with values in an infinite-dimensional projective space. Uniqueness of the invariant measures requires an extension of asymptotic coupling tools, and proving a generic non-collinearity for passive scalar advection. Joint work with Sam Punshon-Smith.
Tuesday, 6 October 2026
13:00
HXLY 145
Arthur Limoge (Surrey Space Centre (University of Surrey))
The twist condition in the three-body problem
Abstract:
A famous method for finding periodic orbits of dynamical systems, which we owe to Poincaré, is through fixed point theorems, most of which rely on some form of "twist condition". In the case of the spatial (circular restricted) three-body problem, this twist condition is a geometric assumption on some 4-dimensional (symplectic) manifold. In this talk, I will describe a conjecture regarding this twist condition whose veracity would yield existence of infinitely many periodic orbits — an open problem to this day. This will be done with a minimum amount of technical details, so that the conjecture can be made accessible to people with little to no background in differential geometry or physics.
Tuesday, 20 October 2026
13:00
HXLY 145
DynamIC Workshops and Mini-Courses
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One-day workshop on Random Dynamical Systems and Ergodic Theory
Tuesday, 9 September 2025
HXLY 340, Imperial College London
Short-term DynamIC Visitors
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