On the uniform equidistribution of long closed horocycles

By D. Hejhal. 2000

72 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces (2007, background): “More detailed analysis of the quantitative equidistribution of the horocycle flow for SL2(R) may be found in [23, 60]; quantitative mixing rates are discussed in [26], and analysis of equidistribution of closed horospheres and its relevance to the theory of automorphic forms may be found in [61].”
Sparse equidistribution problems, period bounds and subconvexity (2005, background): “This problem is analyzed in much more detail than we go into, in [43] and [14].”
Fine-Scale Statistics for the Multidimensional Farey Sequence (2012, unknown): “e is signicantly better than what one would expected from square-root cancellations|it is the square-root of that. If the test function f depends on x(we assume again f is C1 0 ), the work of Hejhal [7] and Strombergsson [17] shows that the convergence rate slows to the square-root of the horocycle ”
A Poincar\'e section for horocycle flow on the space of lattices (2012, methodology): “Flaminio-Forni [17] and Strömbergsson [34] have proved essentially optimal results for the deviation of ergodic averages for hs on X2.”