Competing holes in open dynamical systems

DOI10.1090/PROC/16920MaRDI QIDQ6658163

S. Rodríguez Martín, M. Farotti, Alessandro Della Corte

Publication date: 8 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

topological dynamicssymbolic dynamicstransitive homeomorphismsopen dynamical systems

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Supercritical holes for the doubling map
• Where to place a hole to achieve a maximal escape rate
• On maps with dense orbits and the definition of chaos
• Open conformal systems and perturbations of transfer operators
• Hitting and escaping statistics: mixing, targets and holes
• Escape rates and Perron-Frobenius operators: open and closed dynamical systems
• Maximal escape rate for shifts
• Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
• Which hole is leaking the most: a topological approach to study open systems
• Open circle maps: small hole asymptotics

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