2012/12/04 by James Springham, J. Springham, Rob Sturman +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Geometry #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Physics #Polynomial #Quantum chaos and dynamical systems #Twist #math.DS #nlin.CD
paper · pdf · doi:10.1017/etds.2013.8
published as Ergod. Th. Dynam. Sys. 34 (2014) 1724-1746
arxiv created 2012/12/04 · openalex publication_date 2013/04/04 · arxiv updated 2019/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Linked-twist maps are area-preserving, piecewise diffeomorphisms, defined on a subset of the torus. They are non-uniformly hyperbolic generalizations of the well-known Arnold cat map. We show that a class of canonical examples have polynomial decay of correlations for α -Hölder observables, of order 1/ n .