24 citations · 90 across the 34 of their papers we have counts for
37 papers
On the multiplicative pair correlations of sums of two squares
Jouni Parkkonen, Frédéric Paulin
We study the pair correlations of the logarithms of the integral values of quadratic norm forms at various scalings, proving the existence of pair correlation measures. We describe…
Farey neighbours, modular symbols and divergent geodesics
Jouni Parkkonen, Frédéric Paulin
We give effective asymptotic counting results for pairs of Farey neighbours and for modular symbols in , in imaginary quadratic number fields and in definite quaternion…
Counting and equidistribution of strongly reversible closed geodesics in negative curvature
Jouni Parkkonen, Frédéric Paulin
Let be a pinched negatively curved Riemannian orbifold, whose fundamental group has torsion of order . Generalizing results of Sarnak and Erlandsson-Souto for constant curva…
Equidistribution of divergent geodesics in negative curvature
Jouni Parkkonen, Frédéric Paulin, Rafael Sayous
In the unit tangent bundle of noncompact finite volume negatively curved Riemannian manifolds, we prove the equidistribution towards the measure of maximal entropy for the geodesic…
Equidistribution of common perpendiculars in negative curvature
Jouni Parkkonen, Frédéric Paulin
Let and be properly immersed closed locally convex subsets of a Riemannian manifold with pinched negative sectional curvature. When the Bowen-Margulis measure on $T…
Divergent geodesics, ambiguous closed geodesics and the binary additive divisor problem
Jouni Parkkonen, Frédéric Paulin
We give an asymptotic formula as for the number of common perpendiculars of length at most between two divergent geodesics or a divergent geodesic and a compact l…