Pour tout renseignement complémentaire, veuillez contacter les
organisateurs,Hakim
Boumaza, Mathieu
Lewin
ou Stéphane
Nonnenmacher.
| 14h - 15h | Vojkan
Jaksic (Mc Gill) |
The phases of the number theoretic spin chain Abstract: The number theoretic spin chain was introduced in 1993 by Andreas Knauf in connection with Riemann zeta function, and has been intensely studied since. In this talk I will describe certain novel structural properties of this model and using them resolve the open problem regarding the structure of its phases at and above the critical temperature T=1/2. This talk is based on a joint work with T. Benoist, N. Cuneo, D. Jakobson, and C-A. Pillet. |
| 15h15 - 16h15 | Henrik Ueberschär (Sorbonne U.) | Multifractality
for periodic solutions of certain PDE Abstract: Many dynamical systems are in a state of transition between two regimes. Examples are firing patterns of neurons, disordered quantum systems or pseudo-integrable systems. A common feature which is often observed for critical states of such systems is a multifractal self-similarity in a certain scaling regime which cannot be captured by a single fractal exponent but only by a spectrum of fractal exponents. I will discuss a proof of multifractality of solutions for certain stationary Schrödinger equations with a singular potential on the square torus (joint with Jon Keating). Towards the end of the talk, I will allude to some new work on multifractal scaling and solutions to the Euler equations on cubic tori. |