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…
Categoria evento: Dynamical Systems Seminar
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…