We discuss the stability of holomorphic dynamical systems under perturbation. In dimension 1, the theory is now classical and is based on…

# Categoria evento: Dynamical Systems Seminar

## Statistical properties of hyperbolic billiards – Carlangelo Liverani (Università di Roma Tor Vergata)

I will discuss some recent and less recent results concerning the statistical properties of hyperbolic billiards, with particular emphasis on…

## Expansions in the mixing local limit theorems for dynamical systems – Kasun Fernando (University of Toronto, Canada)

In this talk, we introduce higher-order expansions in the mixing local limit theorems for Birkhoff sums. We will discuss the general results under technical assumptions, and illustrate them by different examples (e.g. subshifts of finite type, Young…

## Double rotations and their ergodic properties – Mauro Artigiani (Universidad del Rosario, Colombia)

Double rotations are the simplest subclass of interval translation mappings. A double rotation is of finite type if its attractor is an interval and of infinite type if it is a Cantor set. It is easy to see that the restriction of a double rotation…

## Piecewise affine homeomorphisms of the circle and dilation surfaces – Selim Ghazouani (Université d’Orsay, France)

In this talk I will consider the following question: if one picks a piecewise affine map of the circle “at random”, what dynamical behaviour are we likely to observe? The case of standard circle diffeomorphisms has been studied by Herman in the 80s;…

## Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems – Tanja Schindler (Scuola Normale Superiore)

We are interested in the limit behaviour of Birkhoff sums over an infinite sigma-finite measure space. If the observable is integrable then — by a classical theorem by Aaronson — there exists no sequence of real numbers such that the Birkhoff sum…

## Looking at Euler flows through a contact mirror: Universality and Turing completeness – Eva Miranda and Daniel Peralta-Salas (Universitat Politècnica de Catalunya and Instituto de Ciencias Matemáticas, Spain)

The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global existence problem for the Euler and Navier Stokes equations based on the…

## Billiards in subriemannian geometry – Álvaro del Pino Gómez (Utrecht University)

When one considers manifolds with boundary, billiard dynamics are the natural analogue of standard geodesic dynamics. Namely, instead of having geodesics escape at the boundary, we force them back into the manifold using the reflection law. In other…

## Infinite mixing for accessible skew products – Paolo Giulietti (Università di Pisa)

I will present some decay of correlations results on skew products which are locally accessible. The results rely on the study of a twisted transfer operator and could be generalized to many other situations. I will also present numerical…

## Birkhoff-Poritsky conjecture for centrally-symmetric billiards – Misha Bialy (Tel Aviv University (Israel))

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…