The horocycle flow at prime times

Peter Sarnak, Adrián Ubis

Type: Preprint

Publication Date: 2011-01-01

Citations: 10

DOI: https://doi.org/10.48550/arxiv.1110.0777

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+ PDF Chat	An effective Ratner equidistribution result for SL(2,R)⋉R2	2015	Andreas Strömbergsson
+ PDF Chat	Effective equidistribution of twisted horocycle flows and horocycle maps	2016	Livio Flaminio Giovanni Forni James Tanis
+	The Mobius disjointness conjecture for distal flows	2014	Jianya Liu Peter Sarnak
+ PDF Chat	Classification of joinings for Kleinian groups	2016	Amir Mohammadi Hee Oh
+ PDF Chat	The cohomological equation and invariant distributions for horocycle maps	2012	James Tanis
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+	Uniform bounds for period integrals and sparse equidistribution	2015	James Tanis Pankaj Vishe
+	Sparse Equidistribution of Unipotent Orbits in Finite-Volume Quotients of $\text{PSL}(2,\mathbb R)$, with Appendices of Hausdorff Dimensions of Subsets of Non-Diophantine Points and the Effective Equidistribution of Horospherical Orbits	2015	Cheng Zheng
+ PDF Chat	Möbius disjointness for homogeneous dynamics	2018	Ryan Peckner

Works Cited by This (17)

Action	Title	Year	Authors
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec
+	Some Applications of Modular Forms	1990	Peter Sarnak
+	Raghunathan’s topological conjecture and distributions of unipotent flows	1991	Marina Ratner
+	Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity	2001	Peter Sarnak
+ PDF Chat	The spectral decomposition of shifted convolution sums	2008	Valentin Blomer Gergely Harcos
+	On the uniform equidistribution of long closed horocycles	2004	Andreas Strömbergsson
+	Rankin-Selberg L-functions on the critical line	2005	Valentin Blomer
+ PDF	On an analogue of Titchmarsh’s divisor problem for holomorphic cusp forms	2012	Nigel J. E. Pitt
+	The quantitative behaviour of polynomial orbits on nilmanifolds	2007	Ben Green Terence Tao
+ PDF	On uniformly distributed orbits of certain horocycle flows	1982	S. G. Dani