2005/01/30 by Lior Rosenzweig
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algorithm #Ergodic theory #Ergodicity #Geometry #Kronecker delta #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Statistics #Torus #Upper and lower bounds #math-ph #math.MP
paper · pdf · doi:10.1007/s00023-005-0256-2
17 pages Added a construction of non diophantine irrationals with arbitrary slow rate of convergence
arxiv created 2005/01/30 · openalex publication_date 2006/04/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
When a map is classically uniquely ergodic, it is expected that its quantization will posses quantum unique ergodicity. In this paper we give examples of Quantum Unique Ergodicity for the perturbed Kronecker map, and an upper bound for the rate of convergence.