94 citations · 263 across the 32 of their papers we have counts for
34 papers · 1 filter
Rigorous computation of expansion in one-dimensional dynamics
Paweł Pilarczyk, Michał 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…
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…
Statistical stability of interval maps with critical points and singularities
Jose F. Alves, Dalmi Gama, Stefano Luzzatto
We prove strong statistical stability of a large class of one-dimensional maps which may have an arbitrary finite number of discontinuities and of non-degenerate critical points an…
Persistent Non-Statistical Dynamics in One-Dimensional Maps
Douglas Coates, Stefano Luzzatto
We study a class of one-dimensional full branch maps introduced in [Doubly Intermittent Full Branch Maps with Critical Points and Singularities; D. Coates,…
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…
Rigorous computation of escape times for parameter intervals in the quadratic map
Paweł Pilarczyk, Stefano Luzzatto
We study the quadratic family of one-dimensional maps . We conduct comprehensive numerical analysis of collections of finite orbits of the critical point, comput…