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math.DS2025
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…
math.DS2024
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…