Add to ORKGAbstract. We exhibit the analogy between prime geodesics on hyperbolic Riemann surfaces and ordinary primes. We present new asymptotic counting results concerning pairs of prime geodesics with fixed homology difference. 1
AbstractIn this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infin...
AbstractIn this paper, we show that for any hyperbolic surface S, the number of geodesics of length ...
18 pagesInternational audienceRecall that two geodesics in a negatively curved surface $S$ are of th...
We prove prime geodesic theorems counting primitive closed geodesics on acompact hyperbolic 3-manifo...
Abstract. Taking the integrated Chebyshev-type counting function of the appropriate order, we improv...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
For Γ a cofinite Kleinian group acting on H3, we study the prime geodesic theorem on M = Γ\H3, which...
The goal of this thesis is to obtain a weighted first moment of the error term of the approximation ...
It is a longstanding problem to determine the precise relationship between the geodesic length spect...
In this article we consider natural counting problems for closed geodesics on negatively curved surf...
In this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infinitely ma...
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 prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manif...
41 pages, 10 figuresInternational audienceWe investigate the number of geodesics between two points ...
AbstractIn this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infin...
AbstractIn this paper, we show that for any hyperbolic surface S, the number of geodesics of length ...
18 pagesInternational audienceRecall that two geodesics in a negatively curved surface $S$ are of th...
We prove prime geodesic theorems counting primitive closed geodesics on acompact hyperbolic 3-manifo...
Abstract. Taking the integrated Chebyshev-type counting function of the appropriate order, we improv...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
For Γ a cofinite Kleinian group acting on H3, we study the prime geodesic theorem on M = Γ\H3, which...
The goal of this thesis is to obtain a weighted first moment of the error term of the approximation ...
It is a longstanding problem to determine the precise relationship between the geodesic length spect...
In this article we consider natural counting problems for closed geodesics on negatively curved surf...
In this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infinitely ma...
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 prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manif...
41 pages, 10 figuresInternational audienceWe investigate the number of geodesics between two points ...
AbstractIn this paper, we prove that on every Finsler 2-dimensional sphere, either there exist infin...
AbstractIn this paper, we show that for any hyperbolic surface S, the number of geodesics of length ...
18 pagesInternational audienceRecall that two geodesics in a negatively curved surface $S$ are of th...