It is well known that the classical potential theory is based on the class of subharmonic functions and on the Laplace operator. The pluripotential theory, constructed in the 80s of the last century, is based on plurisubharmonic functions and on the…
Categoria evento: Dynamical Systems Seminar
Automorphisms of C^2 with an invariant Fatou component biholomorphic to C x C^*. – Jasmin Raissy (Université Paul Sabatier, Toulouse, France)
I will present the construction of a family of automorphisms of C^2having an invariant, non-recurrent Fatou component biholomorphic to C xC* and which is attracting, in the sense that all the orbits converge to a fixed point on the boundary of the…
Non-tangential convergence (and applications to holomorphic dynamics) – Filippo Bracci (Università di Roma Tor Vergata)
The notion of non-tangential convergence is one of the basic concept of complex geoemtry in one and several variables. It is known that univalent maps from the disc into the complex plane admit non-tangential limit almost everywhere on the boundary…
On the fractal geometry of the Lagrange and Markov spectra. – Carlos Matheus (Paris XIII)
After the remarkable works of Markov in 1879 and 1880, the Lagrange and Markov spectra (coding arithmetic properties of irrational numbers and indefinite binary quadratic forms) were studied by several authors (including Perron, Hall, Freiman,…
On mixing rates for time-changes of Heisenberg nilflows – Giovanni Forni (University of Maryland)
We construct Bufetov functionals for nilpotent flows on (compact) Heisenberg nilmanifolds. Such functionals were first constructed by Bufetov for Interval Exchange Transformations and Translation flows, and later for horocycle flows by Bufetov and…
Non-stationary substitutive dynamics and Pisot cocyles – Milton Minervino (Aix-Marseille Université)
We work with shift spaces defined by infinite sequences of simple combinatorial rules called substitutions. To such a system we associate a renormalization cocycle, intimately related with a multidimensional continued fraction algorithm. Under…
A randomized version of the Littlewood Conjecture – Part II: discussion – Henna Koivusalo (University of Vienna)
The Littlewood Conjecture in Diophantine approximation can be thought of as a problem about covering the plane by a union of hyperbolas centered at rational points. In this paper we consider the problem of translating the center of each hyperbola by…
A randomized version of the Littlewood Conjecture – Part I – Henna Koivusalo (University of Vienna)
The Littlewood Conjecture in Diophantine approximation can be thought of as a problem about covering the plane by a union of hyperbolas centered at rational points. In this paper we consider the problem of translating the center of each hyperbola by…
Lagrange Spectrum of Veech surfaces – Mauro Artigiani (Centro De Giorgi)
The Lagrange spectrum is a classical object in Diophantine approximation on the real line that has been generalised to many different settings. In particular, recently it has been generalised to a similar object for translation surfaces, which…
Linearization of multi-dimensional dynamical systems through tree-expansions – David Sauzin (CNRS e Laboratorio Fibonacci)
jointworkwithF.FauvetandF.Menous…