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math.DS2026
Degree Growth of Rational Maps with Laurent Property
Melih Emin Can
Algebraic entropy measures the exponential growth of the degrees of iterates of rational self-maps. It is introduced by Bellon and Viallet in \cite{BellonandViallet}. We study degr…
math.DS2026
The interplay between partial specification, average shadowing, and Besicovitch completeness
Melih Emin Can, Marcin Kulczycki
Let be a compact dynamical system. This article proves that if has the partial specification property, then it has the average shadowing property. It is also proven…