On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geodesics of length less than L which minimize length among all geodesic multicurves in the same homology class. An important class of surfaces which are of interest to us are hyperbolic surfaces
In this paper we will estimate the smallest length of a minimal geodesic net on an arbitrary closed ...
Abstract. Given a Riemannian surface, we consider a naturally embedded graph which captures part of ...
AbstractIn this paper we will estimate the smallest length of a minimal geodesic net on an arbitrary...
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geo...
Abstract. On a surface with a Finsler metric, we investigate the asymptotic growth of the number of ...
A celebrated result of Mirzakhani states that, if $(S,m)$ is a finite area \emph{orientable} hyperbo...
In this paper we give a full asymptotic expansion for the number of closed geodesics in homology cla...
In this paper, we investigate basic geometric quantities of a random hyperbolic surface of genus $g$...
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on ...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces....
An old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbo...
This thesis is devoted to the study of universal geometric inequalities on Riemannian manifolds. Mor...
The leitmotif of this dissertation is the search for length formulas and sharp constants in relation...
We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold...
In this paper we will estimate the smallest length of a minimal geodesic net on an arbitrary closed ...
Abstract. Given a Riemannian surface, we consider a naturally embedded graph which captures part of ...
AbstractIn this paper we will estimate the smallest length of a minimal geodesic net on an arbitrary...
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geo...
Abstract. On a surface with a Finsler metric, we investigate the asymptotic growth of the number of ...
A celebrated result of Mirzakhani states that, if $(S,m)$ is a finite area \emph{orientable} hyperbo...
In this paper we give a full asymptotic expansion for the number of closed geodesics in homology cla...
In this paper, we investigate basic geometric quantities of a random hyperbolic surface of genus $g$...
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on ...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces....
An old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbo...
This thesis is devoted to the study of universal geometric inequalities on Riemannian manifolds. Mor...
The leitmotif of this dissertation is the search for length formulas and sharp constants in relation...
We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold...
In this paper we will estimate the smallest length of a minimal geodesic net on an arbitrary closed ...
Abstract. Given a Riemannian surface, we consider a naturally embedded graph which captures part of ...
AbstractIn this paper we will estimate the smallest length of a minimal geodesic net on an arbitrary...