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math.DS2021
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…
math.DS2020
Rigorous numerics for critical orbits in the quadratic family
Ali Golmakani, Comlan Edmond Koudjinan, Stefano Luzzatto +1
We develop algorithms and techniques to compute rigorous bounds for finite pieces of orbits of the critical points, for intervals of parameter values, in the quadratic family of on…