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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.NT2026
Area correlations related to lattice points in discs
Matteo Bordignon, Pär Kurlberg
Motivated by the Lester-Wigman vanishing area correlation conjecture for lattice points near the boundary of circles of growing radius, we investigate the dynamics of circle flows…
math.NT2026
The Limiting Distribution of Elliptic Dedekind Sums
Matteo Bordignon, Paolo Minelli
We consider elliptic Dedekind sums that were introduced by Sczech as generalizations of the classical ones to complex lattices. We prove that these sums -- suitably normalized -- h…