Pick a unit vector v ∈ R2, and consider the dynamical system on the flat torus R2/Z2 defined by ft(z) = z + tv. This dynamical system is very well understood. For example, if v ∈ Q2, then all trajectories are closed, and if not, then all trajectories are dense. In fact much more is known. In an attempt to generalize this example, we see immediately the problem that other closed surfaces do no
In the first part, we prove the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle for a mea...
I will describe a topology on the space of all translation structures on surfaces with a basepoint (...
We study a diophantine property for translation surfaces, defined in term of saddle connections and ...
Translation surfaces can be defined in an elementary way via poly-gons, and arise naturally in in th...
Translation surfaces are a type of flat surface that generalizes the dynamics on flat tori to higher...
Summary. Various problems of geometry, topology and dynamical systems on sur-faces as well as some q...
Thesis (Ph.D.)--University of Washington, 2022The main results in this thesis are quantitative descr...
We review the different notions about translation surfaces which are necessary to understand McMulle...
Abstract. A translation structure on a surface is an atlas of charts to the plane so that the transi...
K3 surfaces provide a meeting ground for geometry (algebraic, differential), arithmetic, and dynamic...
A translation surface is a two-dimensional manifold, equipped with a translation structure. It can b...
This book is a remarkable contribution to the literature on dynamical systems and geometry. It consi...
Abstract. We answered a question by Barak Weiss on the uniform discreteness of the holonomy vectors ...
In the first part, we prove the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle for a mea...
Khinchin type condition for translation surfaces and asymptotic laws for the Teichmüller flow MARCHE...
In the first part, we prove the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle for a mea...
I will describe a topology on the space of all translation structures on surfaces with a basepoint (...
We study a diophantine property for translation surfaces, defined in term of saddle connections and ...
Translation surfaces can be defined in an elementary way via poly-gons, and arise naturally in in th...
Translation surfaces are a type of flat surface that generalizes the dynamics on flat tori to higher...
Summary. Various problems of geometry, topology and dynamical systems on sur-faces as well as some q...
Thesis (Ph.D.)--University of Washington, 2022The main results in this thesis are quantitative descr...
We review the different notions about translation surfaces which are necessary to understand McMulle...
Abstract. A translation structure on a surface is an atlas of charts to the plane so that the transi...
K3 surfaces provide a meeting ground for geometry (algebraic, differential), arithmetic, and dynamic...
A translation surface is a two-dimensional manifold, equipped with a translation structure. It can b...
This book is a remarkable contribution to the literature on dynamical systems and geometry. It consi...
Abstract. We answered a question by Barak Weiss on the uniform discreteness of the holonomy vectors ...
In the first part, we prove the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle for a mea...
Khinchin type condition for translation surfaces and asymptotic laws for the Teichmüller flow MARCHE...
In the first part, we prove the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle for a mea...
I will describe a topology on the space of all translation structures on surfaces with a basepoint (...
We study a diophantine property for translation surfaces, defined in term of saddle connections and ...
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