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    Discrete dynamical systems over double cross-product Lie groupoids
    (World Scientific, 2021-03) Esen, Oğul; Sütlü, Serkan
    Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on the local discrete dynamics of a gauge groupoid. The discrete Elroy's beanie is studied as a physical example.