Growth of the number of geodesics between points and insecurity for Riemannian manifolds
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Publication:934139
DOI10.3934/dcds.2008.21.403zbMath1154.53025arXivmath/0701579OpenAlexW2160296092MaRDI QIDQ934139
Publication date: 29 July 2008
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701579
Geodesics in global differential geometry (53C22) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
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Insecurity is generic in a conformal class of Riemannian metrics ⋮ Asymptotic estimate for the counting problems corresponding to the dynamical system on some decorated graphs ⋮ Generic absence of finite blocking for interior points of Birkhoff billiards ⋮ Real analytic metrics on \(S ^{2}\) with total absence of finite blocking ⋮ Connection blocking in \(\mathrm{SL}(n, \mathbb{R})\) quotients ⋮ Blocking light in compact Riemannian manifolds ⋮ Insecurity for compact surfaces of positive genus ⋮ Billiard dynamics: An updated survey with the emphasis on open problems ⋮ Blocking: new examples and properties of products ⋮ Topological entropy and blocking cost for geodesics in Riemannian manifolds
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