2024/05/27 by Tattwamasi Amrutam, Martin Klötzer, Amrutam, Tattwamasi +3
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #math.DS #math.FA
paper · pdf · doi:10.48550/arxiv.2405.17122
openalex publication_date 2024/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Let G be a locally compact second countable group equipped with an admissible non-degenerate Borel probability measure μ. We generalize the notion of μ-stationary systems to μ-stationary G-factor maps π: (X,ν)→ (Y,η). For these stationary relations between dynamical systems, we provide a structure theorem, which generalizes the structure theorem of Furstenberg-Glasner. Furthermore, we show the existence and uniqueness of a relative version of the Poisson boundary in this setup.