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math.DS2026
Intermingled basins: Kan's example on the Riemann sphere
Abbas Fakhari, Ale Jan Homburg, Sebastian van Strien
Kan's discovery of dynamical systems with two attractors whose basins of attraction both have full support, featured specific examples of skew product systems of interval diffeomor…
math.DS2026
Generalized Horseshoe Maps part I: limit laws and absolute continuity of physical measure
Abbas Fakhari, Maisam Hedyehloo, Mohammad Soufi
We apply thermodynamic formalism to a generalized horseshoe map. We prove that a tailored anisotropic Banach space with weighted norms yields a spectral gap for the transfer operat…