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math.DS2026
Mixing of the BCZ Map
Albert Artiles, Andrew Best, Matteo Bordignon
We prove that the Boca--Cobeli--Zaharescu (BCZ) map is strongly mixing with respect to normalized Lebesgue measure on the BCZ triangle.
math.DS2026
Moments of the Cross-Sectional Siegel-Veech Transfrom
Albert Artiles
We study the Siegel--Veech transform on the Poincaé section for the horocycle flow consisting of lattice surfaces with a visible horizontal holonomy vector of length at most one. W…
math.DS2026
Moments of the Cross-Sectional Siegel-Veech Transform
Albert Artiles
We study the Siegel--Veech transform on the Poincaré section for the horocycle flow consisting of lattice surfaces with a visible horizontal holonomy vector of length at most one.…