STAFF
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RELATED STAFF
|
| Name |
Title |
Date |
Time |
Room |
| Pierre Berger (Institut de Mathématiques de Jussieu-Paris Rive Gauche) | Analytic pseudo-rotations on spheres, disks and annuliAbstract: We introduce a way to perform the appproximation by conjugacy method of Anosov-Katok among surface analytic symplectomorphisms. This produces transitive analytic symplectomorphisms of the sphere, the disk and the cylinder with finite number of periodic points. This disproves a conjecture of Birkhoff (1941), and solves problems of Birkhoff (1927), Herman (1998), Fayad-Katok (2004) and Fayad-Krikorian (2018). |
Friday, 31 January 2025 |
13:00 |
Huxley 144 |
| Tamam Nattalie (Imperial College London) | TBAAbstract: TBA |
Tuesday, 4 February 2025 |
13:00 |
Huxley 140 |
| Victor Navarro-Fernandez (Imperial College London) | Mixing and ideal dynamo with randomized ABC flowsAbstract: In this work we consider the Lagrangian properties of a random version of the Arnold-Beltrami-Childress (ABC) vector fields in a three-dimensional periodic box. We prove that the associated flow map possesses a positive top Lyapunov exponent, and its associated one-point, two-point and projective Markov chains are geometrically ergodic. For a passive scalar, it follows that such a velocity is a space-time smooth exponentially mixing field, uniformly in the diffusivity coefficient. For a passive vector, it provides an example of a universal ideal (i.e. non-diffusive) kinematic dynamo. This is a joint work with M. Coti Zelati (Imperial College London). |
Tuesday, 11 February 2025 |
13:00 |
Huxley 140 |
| Hugo Chu (Imperial College London) | TBAAbstract: TBA |
Tuesday, 11 March 2025 |
13:00 |
Huxley 140 |
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