17 pagesInternational audienceLet $S$ be a closed orientable hyperbolic surface, and let $\mathcal{O}(K,S)$ denote the number of mapping class group orbits of curves on $S$ with at most $K$ self-intersections. Building on work of Sapir [16], we give upper and lower bounds for $\mathcal{O}(K,S)$ which are both exponential in $\sqrt{K}$
We obtain bounds on the numbers of intersections between triangulations as the conformal structure o...
We show that there is a universal constant, k, such that the curve graph associated to any compact o...
7 pagesMirzakhani wrote two papers on counting curves of given type on a surface: one for simple cur...
We study mapping class group orbits of homotopy and isotopy classes of curves with self-intersection...
49 pages, 11 (mostly hand-drawn) figuresInternational audienceLet $\Sigma$ be a hyperbolic surface. ...
AbstractIn this paper, we show that for any hyperbolic surface S, the number of geodesics of length ...
Abstract We count the number of conjugacy classes of maximal, genus g, surface subroups in hyperboli...
Abstract. Let C(Sg,p) denote the curve complex of the closed ori-entable surface of genus g with p p...
We discuss whether closed curves on closed orientable surfaces are contractible, and for non-contrac...
Our main point of focus is the set of closed geodesics on hyperbolic surfaces. For any fixed integer...
An old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbo...
We consider selfmaps of hyperbolic surfaces and graphs, and give some bounds involving the rank and ...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
In the first two lectures I will try to tell (or, rather, to give an idea) of how Maryam Mirzakhani ...
59 pages, 33 figures, revised version accepted to Journal of the ACM. The time complexity for testin...
We obtain bounds on the numbers of intersections between triangulations as the conformal structure o...
We show that there is a universal constant, k, such that the curve graph associated to any compact o...
7 pagesMirzakhani wrote two papers on counting curves of given type on a surface: one for simple cur...
We study mapping class group orbits of homotopy and isotopy classes of curves with self-intersection...
49 pages, 11 (mostly hand-drawn) figuresInternational audienceLet $\Sigma$ be a hyperbolic surface. ...
AbstractIn this paper, we show that for any hyperbolic surface S, the number of geodesics of length ...
Abstract We count the number of conjugacy classes of maximal, genus g, surface subroups in hyperboli...
Abstract. Let C(Sg,p) denote the curve complex of the closed ori-entable surface of genus g with p p...
We discuss whether closed curves on closed orientable surfaces are contractible, and for non-contrac...
Our main point of focus is the set of closed geodesics on hyperbolic surfaces. For any fixed integer...
An old theorem of Huber asserts that the number of closed geodesics of length at most L on a hyperbo...
We consider selfmaps of hyperbolic surfaces and graphs, and give some bounds involving the rank and ...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
In the first two lectures I will try to tell (or, rather, to give an idea) of how Maryam Mirzakhani ...
59 pages, 33 figures, revised version accepted to Journal of the ACM. The time complexity for testin...
We obtain bounds on the numbers of intersections between triangulations as the conformal structure o...
We show that there is a universal constant, k, such that the curve graph associated to any compact o...
7 pagesMirzakhani wrote two papers on counting curves of given type on a surface: one for simple cur...
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