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math.DS2025
The Return Map of the Cross Section of Horizontally Short Lattice Surfaces is Weakly Mixing
Albert Artiles
We prove that the return map of the unstable horocycle flow on the space of horizontally short translation surfaces associated to a lattice surface is weakly mixing. This…
math.DS2023★ 2 cited
The Minimal Denominator Function and Geometric Generalizations
Albert Artiles
We provide a geometric interpretation for a normalized version of the minimal denominator function, $$q_{\min}(x,δ)=\min\left\{q\in \mathbb{N}: \text{ there exists } p\in\mathbb{Z}…