11 citations · 39 across the 17 of their papers we have counts for
5 papers · 1 filter
The Brjuno and Wilton Functions
Claire Burrin, Seul Bee Lee, Stefano Marmi
The Brjuno and Wilton functions bear a striking resemblance, despite their very different origins; while the Brjuno function is a fundamental tool in one-dimensional holomor…
Equidistribution of continuous low-lying pairs of horocycles via Ratner's theorem
Claire Burrin
We record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner's topological rigidity theorem. This approach has the advantage of ex…
Pairs in discrete lattice orbits with applications to Veech surfaces
Claire Burrin, Samantha Fairchild, Jon Chaika
Let , be two discrete orbits under the linear action of a lattice on the Euclidean plane. We prove a SiegelVeech-type integral formula f…
Translates of rational points along expanding closed horocycles on the modular surface
Claire Burrin, Uri Shapira, Shucheng Yu
We study the limiting distribution of the rational points under a horizontal translation along a sequence of expanding closed horocycles on the modular surface. Using spectral meth…
Effective counting for discrete lattice orbits in the plane via Eisenstein series
Claire Burrin, Amos Nevo, Rene Rühr +1
We prove effective bounds on the rate in the quadratic growth asymptotics for the orbit of a non-uniform lattice of SL(2,R), acting linearly on the plane. This gives an error bound…