Add to ORKGAn old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbolic surface is asymptotic to $\frac{e^L}L$. However, things are less clear if one either fixes the type of the curve, possibly changing the notion of length, or if one counts types of curves. Here, two curves are of the same type if they differ by a mapping class. I will describe some results in these directions
Motivated by the ergodicity of geodesic flow on the unit tangent bundle of a closed hyperbolic surfa...
On a hyperbolic Riemann surface, given two simple closed geodesics that intersect n times, we addres...
In this note, we develop a condition on a closed curve on a surface or in a 3-manifold that implies ...
An old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbo...
Abstract. On a surface with a Finsler metric, we investigate the asymptotic growth of the number of ...
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geo...
We show that the number of closed geodesics in the flat metric on a translation surface of length at...
A celebrated result of Mirzakhani states that, if $(S,m)$ is a finite area \emph{orientable} hyperbo...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
AbstractIn this paper, we show that for any hyperbolic surface S, the number of geodesics of length ...
12 pages, 5 figuresInternational audienceThis note is about a type of quantitative density of closed...
49 pages, 11 (mostly hand-drawn) figuresInternational audienceLet $\Sigma$ be a hyperbolic surface. ...
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed ge...
Abstract. We nd an upper bound for the asymptotic dimension of a hy-perbolic metric space with a set...
14 pages with an appendixThrough the Schwarz lemma, we provide a new point of view on three well-kno...
Motivated by the ergodicity of geodesic flow on the unit tangent bundle of a closed hyperbolic surfa...
On a hyperbolic Riemann surface, given two simple closed geodesics that intersect n times, we addres...
In this note, we develop a condition on a closed curve on a surface or in a 3-manifold that implies ...
An old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbo...
Abstract. On a surface with a Finsler metric, we investigate the asymptotic growth of the number of ...
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geo...
We show that the number of closed geodesics in the flat metric on a translation surface of length at...
A celebrated result of Mirzakhani states that, if $(S,m)$ is a finite area \emph{orientable} hyperbo...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
AbstractIn this paper, we show that for any hyperbolic surface S, the number of geodesics of length ...
12 pages, 5 figuresInternational audienceThis note is about a type of quantitative density of closed...
49 pages, 11 (mostly hand-drawn) figuresInternational audienceLet $\Sigma$ be a hyperbolic surface. ...
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed ge...
Abstract. We nd an upper bound for the asymptotic dimension of a hy-perbolic metric space with a set...
14 pages with an appendixThrough the Schwarz lemma, we provide a new point of view on three well-kno...
Motivated by the ergodicity of geodesic flow on the unit tangent bundle of a closed hyperbolic surfa...
On a hyperbolic Riemann surface, given two simple closed geodesics that intersect n times, we addres...
In this note, we develop a condition on a closed curve on a surface or in a 3-manifold that implies ...