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math.DS2026
Dynamics on fences
Jernej ÄinÄ, Udayan B. Darji, Benjamin Vejnar
Homeomorphisms of the Cantor set play a central role in topology, dynamical systems and descriptive set theory. In parallel, several classes of fence-like spaces - such as the hair…
math.DS2025
Chaos on Peano continua
Klára Karasová, Benjamin Vejnar
Generalizing the result of Agronsky and Ceder (1991), we prove that every Peano continuum admits a continuous transformation that is exact Devaney chaotic; that is, it has a dense…
math.DS2025
Classification complexity of chaotic systems
Benjamin Vejnar
In this paper, we deal with the classification complexity of continuous (Devaney) chaotic systems in dimensions and using the framework of invariant descriptive set…