In this talk I will present a family of one dimensional systems with random additive noise such that, as the noise size increases, the Lyapunov exponent of the stationary measure transitions from positive to negative. This phenomena is known in…
Categoria evento: Dynamical Systems Seminar
Chaotic motion in the breathing circle billiard – Stefano Marò (Università di Pisa)
We consider the free motion of a point particle inside a circular billiard with periodically moving boundary, with the assumption that the collisions of the particle with the boundary are elastic so that the energy of the particle is not preserved.…
Invariance by induction of the asymptotic variance – Françoise Pène (Université de Bretagne Occidentale, France)
It is well known that the integral of an observable is preserved by induction. We are interested here in extensions of this result to moments of order 2 and 3. We have two natural candidates for the second and third order moments: the classical…
Matching for random systems with an application to minimal weight expansions – Marta Maggioni (Universiteit Leiden, Olanda)
We consider families of skew-product maps, representing systems evolving in discrete time in which, at each time step, one of a number of transformations is chosen according to an i.i.d process and applied. We extend the notion of matching for such…
Asymptotic velocity for scattering particles – Andreas Knauf (Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany)
Partly with Jacques Fejoz, Richard Montgomery, Stefan Fleischer and Manuel Quaschner. The past and future of scattering particle systems is partly determined by their asymptotic velocity, that is, the Cesàro limit of the velocity. That this exists…
Central limit theorems for counting measures in coarse negative curvature – Giulio Tiozzo (University of Toronto)
We establish general central limit theorems for an action of a group on a hyperbolic space with respect to counting for the word length in the group. In 2013, Chas, Li, and Maskit produced numerical experiments on random closed geodesics on a…
Polygonal billiards with contracting reflection laws – Gianluigi Del Magno (Università di Pisa)
The dynamics of billiards has been studied in great detail when the reflection law is the specular one, i.e., when the angle of reflection equals the angle of incidence. In this talk, I will be concerned with polygonal billiards with a contracting…
Dynamical Systems Stemming from a Family of Multi-dimensional Continued Fraction Algorithms – Thomas Garrity (Williams College)
The underlying dynamics behind classical continued fractions has been heavily studied. Attempts to generalize the many properties of continued fractions fall under the rubric of “multi-dimensional continued fractions.” As continued fractions can be…
On the (non)existence of degenerate phase-shift localised solution in KG (and dNLS) nonlocal lattices – Simone Paleari (Università degli Studi di Milano)
We study the existence of, low amplitude, phase-shift multibreathers for small values of the linear coupling in Klein-Gordon chains with interactions beyond the classical nearest-neighbor (NN) ones. In the proper parameter regimes,…
On the statistics of extremes for dynamical systems – Mark Holland (University of Exeter)
The study of successive maxima (or minima) for stochastic processes is called Extreme Value Theory. It is extensively used in risk analysis to estimate probabilities of rare events and extremes, e.g. floods; hurricanes; market crashes and general…