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math.DS2026
Rigorous computation of expansion in one-dimensional dynamics
PaweÅ Pilarczyk, MichaÅ Palczewski, Stefano Luzzatto
We introduce an effective algorithmic method for the computation of a lower bound for uniform expansion in one-dimensional dynamics. The approach employs interval arithmetic and th…
math.DS2025
Finite Time Hyperbolic Coordinates
Stefano Luzzatto, Dominic Veconi, Khadim War
We define finite-time hyperbolic coordinates, describe their geometry, and prove various results on both their convergence as the time scale increases, and on their variation in th…
math.DS2024
Doubly Intermittent Full Branch Maps with Critical Points and Singularities
Douglas Coates, Stefano Luzzatto, Muhammad Mubarak
We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we p…