7 citations · 13 across the 7 of their papers we have counts for
7 papers
Excursion and return times of a geodesics to a subset of a hyperbolic Riemann surface
Andrew Haas
We calculate the asymptotic average rate at which a generic geodesic on a finite area hyperbolic 2-orbifold returns to a subsurface with geodesic boundary. As a consequence we get…
Sequences and dynamical systems associated with canonical approximation by rationals
Andrew Haas
We study metrical properties of various subsequences associated to the sequence of rational approximants coming from the continued fraction of an irrational number. Our methods bui…
Geodesic excursions into an embedded disc on a hyperbolic Riemann surface
Andrew Haas
We calculate the asymptotic average rate at which a generic geodesic on a finite area hyperbolic 2-orbifold returns to an embedded disc on the surface, as well as the average amoun…
Geodesic cusp excursions and metric diophantine approximation
Andrew Haas
We derive several results that describe the rate at which a generic geodesic makes excursions into and out of a cusp on a finite area hyperbolic surface and relate them to approxim…
The relative growth rate for partial quotients
Andrew Haas
We look at the rate of growth of the partial quotients of the infinite continued fraction expansion of an irrational number relative to the rate of approximation of the number by i…
The geometry at infinity of a hyperbolic Riemann surface of infinite type
Andrew Haas, Perry Susskind
We study geodesics on a planar Riemann surface of infinite type having a single infinite end. Of particular interest is the class of geodesics that go out the infinite end in a mos…