24 citations · 90 across the 34 of their papers we have counts for
9 papers · 1 filter
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…
Counting and equidistribution in quaternionic Heisenberg groups
Jouni Parkkonen, Frédéric Paulin
We develop the relationship between quaternionic hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups on q…
General conservation law for a class of physics field theories
Lauri Kettunen, Sanna Mönkölä, Jouni Parkkonen +1
In this paper we form a general conservation law that unifies a class of physics field theories. For this we first introduce the notion of a general field as a formal sum different…
Counting and equidistribution in Heisenberg groups
Jouni Parkkonen, Frédéric Paulin
We strongly develop the relationship between complex hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups…
Counting common perpendicular arcs 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. Using mixing properties of the geodesic f…
On strictly convex subsets in negatively curved manifolds
Jouni Parkkonen, Frédéric Paulin
In a complete simply connected Riemannian manifold X of pinched negative curvature, we give a sharp criterion for a subset C to be the epsilon-neighbourhood of some convex subset o…