Duke’s theorem for subcollections

DOI10.1017/etds.2014.68zbMath1355.37004arXiv1403.2016OpenAlexW3102732421MaRDI QIDQ2808030

Manfred Einsiedler, Menny Aka

Publication date: 26 May 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2016

zbMATH Keywords

closed geodesicsmodular surfaceeffective mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Periodic orbits of vector fields and flows (37C27) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Flows on surfaces (37E35)

Related Items (3)

Continued fractions of arithmetic sequences of quadratics ⋮ Linnik's problems and maximal entropy methods ⋮ Primitive rational points on expanding horospheres in Hilbert modular surfaces

Cites Work

• Sparse equidistribution problems, period bounds and subconvexity
• Distribution of periodic torus orbits and Duke's theorem for cubic fields
• The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points. II
• Distribution of periodic torus orbits on homogeneous spaces
• Hyperbolic distribution problems and half-integral weight Maass forms
• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• The distribution of closed geodesics on the modular surface, and Duke's Theorem
• Uniformly Diophantine numbers in a fixed real quadratic field
• Central values of Rankin $L$-series over real quadratic fields

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