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math.DS2023
Reachability in Injective Piecewise Affine Maps
Faraz Ghahremani, Edon Kelmendi, Joël Ouaknine
One of the most basic, longstanding open problems in the theory of dynamical systems is whether reachability is decidable for one-dimensional piecewise affine maps with two interva…
math.DS2022★ 1 cited
What's Decidable about Discrete Linear Dynamical Systems?
Toghrul Karimov, Edon Kelmendi, Joël Ouaknine +1
We survey the state of the art on the algorithmic analysis of discrete linear dynamical systems, focussing in particular on reachability, model-checking, and invariant-generation q…