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math.DS2026
Topological-numerical analysis of global dynamics in the discrete-time two-gene Andrecut-Kauffman model
Dorian Falęcki, Mikołaj Rosman, Michał Palczewski +2
We conduct a topological--numerical analysis of global dynamics in a discrete-time two-gene Andrecut--Kauffman model. This model describes gene expression regulation through nonlin…
math.DS2025
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…