## Limit Theorems for a class of unbounded observables on the real line with an application to sampling the Lindelöf Hypothesis – Kasun Fernando (Centro De Giorgi – SNS)

We prove the Central Limit Theorem, first order Edgeworth expansion and Mixing Local Limit Theorem for the Birkhoff sums of a class of L^3 observables over Boolean-type transformations on the real line. The class of observables include the real…

## Mixing properties of erasing interval maps – Alessandro Della Corte (Università di Camerino)

We study the measurable dynamical properties of the interval map generated by the model-case erasing substitution $\rho$, defined by: $\rho(00) = empty word$; $\rho(01) = 1$; $\rho(10) = 0$; $\rho(11) = 01$. We prove that, although the map is…

## Statistical properties of dynamical systems: invariant measures, mixing and decay of correlations – Roberto Castorrini (Università di Pisa)

It is well known (is it?) that many dynamical systems arising from physical or chemical models exhibit what is probably…

## Metric theory of the weighted products of partial quotients in continued fractions – Ayreena Bakhtawar (Centro De Giorgi – SNS)

The fundamental objective of the theory of Diophantine approximation is to seek an answer to a simple question “how well irrational numbers can be approximated by rational numbers?” In this regard the theory of continued fractions provides a quick…

## Discontinuities cause essential spectrum – Giovanni Canestrari (Università Roma Tor Vergata)

In this seminar I will introduce transfer operators associated to piecewise monotone interval transformationsand and show that, for a large…

## Dynamics of piecewise affine contractions – José Pedro Romana Gaivão (ISEG, University of Lisbon)

The attractor of any piecewise affine contraction is either a finite set or a Cantor set. It is known that the former case occurs generically, both in metric and topological sense. In this talk we present recent results regarding the Hausdorff…

## Atmospheric circulation compounds anthropogenic warming and its impacts in Europe – Davide Faranda (LSCE IPSL)

The thermodynamic effects of the global-mean anthropogenic warming on the climate system are well documented. However, diagnosing dynamical changes such as those in atmospheric circulation patterns, remains challenging — all the more when focusing…

## Generic properties of billiards on bodies – João Lopes Dias (ISEG, University of Lisbon)

We will talk about generic properties of multidimensional billiards. In particular, we will discuss the proof of the existence of a C2 dense set of convex bodies whose billiard maps have positive topological entropy. …

## Holomorphic motions of Julia sets: dynamical stability in one and several complex variables – Fabrizio Bianchi (Université de Lille, France)

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

## 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…

Torna in cima