## On Kurzweil’s 0-1 Law in Inhomogeneous Diophantine Approximation – Dong Han Kim (Dongguk University)

We give a sufficient and necessary condition such that for almost all $s\in{\mathbb R}$ $$\ \theta-s\<\psi(n)\qquad\text{for infinitely many}\ n\in{\mathbb N},$$ where $\theta$ is fixed and $\psi(n)$ is a positive, non-increasing sequence. This…

## Misura di Hausdorff di alcune condizioni diofantee e superfici di traslazione. – Luca Marchese (Paris 13)

We consider two dynamical problems for translation surfaces, both related to diophantine approximations: one is the study of the asymptotic amplitude of excursions at infinity of a Teichmuller geodesic in parameter space, the other is the study of…

## Continuity of core entropy of quadratic polynomials – Giulio Tiozzo (Yale University)

The core entropy of polynomials, recently introduced by W. Thurston, is a dynamical invariant which can be defined purely in combinatorial terms, and provides a useful tool to study parameter spaces of polynomials. The theory of core entropy extends…

## Infinitesimal Hilbert problem – Sergei Yakovenko (Weizmann Institute and Universita di Pisa)

The infinitesimal Hilbert problem addresses limit cycles of planar polynomial vector field, which appear by a small non-conservative perturbation of an integrable (Hamiltonian) system. Their number is closely related to the number of algebraic level…

## A dynamical characterization of algebraicity for isomonodromic deformations. – Gael Cousin (Università di Pisa)

Our study concerns isomonodromic deformations of logarithmic connections of arbitrary rank on the Riemann sphere. We will explain how we can translate the algebraicity of the universal isomonodromic deformation in terms of the monodromy…

## A two-dimensional polynomial map with a wandering Fatou component – Jasmin Raissy (Université Paul Sabatier, Toulouse)

The Fatou set of a holomorphic endomorphism of a complex manifold is the largest open set where the family iterates of the map form a normal family, and a Fatou component is a connected component of the Fatou set. In dimension one, Sullivan’s Non…

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