2024/12/18 by Jean-Michel Pipeau, Pipeau, Jean-Michel
Computer Science · Social Sciences · #81Q50 #Cultural Insights and Digital Impacts #FOS: Mathematics #General Mathematics (math.GM) #Information Technology and Learning
paper · pdf · doi:10.48550/arxiv.2501.06190
openalex publication_date 2024/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
In this text I study quantum dynamics of quantized linear automorphisms of the torus after the Ehrenfest time. I show that, in the wave packet basis, the 'matrix' of the associated propagator is well approximated by Birkhoff sums of nilrotations on the torus. In the second part, I conduct a thorough study of these sums and relate the equidistribution of evolved wave packets to a problem of Diophantine approximation.