In this talk I shall discuss Birkhoff-Poritsky conjecture for centrally-symmetric C^2-smooth convex planar billiards. We assume that the domain A between the invariant curve of 4-periodic orbits and the boundary of the phase cylinder is foliated by…

# Categoria evento: Dynamical Systems Seminar

## Hyperbolic motion in the Newtonian N-body problem with arbitrary limit shape – Andrea Venturelli (Université d’Avignon, France)

We prove for the N-body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level h>0 of the motion can also be chosen arbitrarily. Our approach is based on the…

## Locating Ruelle-Pollicott resonances – Carlangelo Liverani (Università di Roma Tor Vergata)

We study the spectrum of transfer operators associated to various dynamical systems. Our aim is to obtain precise information on discrete spectrum. To this end we propose a unitary approach. We consider various settings where new information can be…

## Infinite entropy for transcendental entire functions – Anna Miriam Benini (Università di Parma)

Defining entropy on noncompact metric spaces is a tricky business, since there are several natural and nonequivalent generalizations of the usual notions of entropy for continuous maps on compact spaces. By defining entropy for transcendental maps…

## A simple system presenting Noise Induced Order – Isaia Nisoli (Universidade Federal de Rio de Janeiro)

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…

## 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…