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## Upper bound on the regularity of Lyapunov exponents of random product of matrices – Jamerson Bezerra (Nicolaus Copernicus University)

The study of the regularity of the Lyapunov exponent of random products of SL2(R) matrices is a rich subject with many important contributions in the past years. It is well established in the literature that the function which associates each finite…

## Random iteration on hyperbolic Riemann surfaces – Marco Abate (University of Pisa)

In this talk we shall describe the asymptotic behaviour of sequences of functions obtained by iteratively left-composing or right-composing holomorphic self-maps of a hyperbolic Riemann surface $X$. We shall consider in detail two cases: when the…

## Strong limit theorems for infinite measure-preserving dynamical systems with applications to non-standard continued fraction algorithms – Tanja Schindler (Univ. of Wien)

Aaronson’s theorem states that if we have a non-integrable observable over a finite measure system or if we have an integrable observable over a infinite measure space, then in both cases we can not have a strong law of large numbers. However -…

## Renormalization of analytic maps of the annulus and applications to conjugacy problems – Michael Yampolsky (Univ. of Toronto)

In a recent series of works with N. Goncharuk, we have constructed an analytic renormalization operator acting on conformal maps of the annulus. We showed that this operator has a hyperbolic horseshoe attractor consisting of Brjuno rotations. I will…

## On the infinite dimension limit of invariant measures and solutions of Zeitlin’s 2D Euler equations – Milo Viviani (SNS)

In this talk we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution of the Euler equations with marginals distributed as the enstrophy measure.…

## Recurrence for smooth curves in the moduli space of translation surfaces – Krzysztof Frączek

My talk is a kind of review of problems and recent results regarding smooth curves in the moduli space of translation surfaces and Teichmüller positive semi-orbits starting from such curves. I plan to present some abstract results about the…

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