From the 1 of 2 linked papers with an AI index.
2 papers
math.NT2026
Area correlations related to lattice points in discs
Matteo Bordignon, Pär Kurlberg
The paper investigates the statistical behavior of areas determined by lattice points near the boundary of large circles, using circle flows on tori, and proves a mixing result for…
math.DS2025
On quantum ergodicity for higher dimensional cat maps
Pär Kurlberg, Alina Ostafe, Zeev Rudnick +1
We study eigenfunction localization for higher dimensional cat maps, a popular model of quantum chaos. These maps are given by linear symplectic maps in ${\mathrm{Sp}}(2g,\mathbb Z…