The narrow recurrence of Markov chains

DOI10.1007/s12215-023-00937-wOpenAlexW4385218576MaRDI QIDQ6123452

Mohamed Amouch, Ahmed Zaou

Publication date: 4 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-023-00937-w

zbMATH Keywords

Markov chainsrecurrencetransitivityhypercyclicitythe narrow topology

Mathematics Subject Classification ID

Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Holomorphic maps in nonlinear functional analysis (46T25) Cyclic vectors, hypercyclic and chaotic operators (47A16) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Recurrent linear operators
• Weakly supercyclic operators
• The asymptotic behaviour of semigroups of linear operators
• Recurrence of multiples of composition operators on weighted Dirichlet spaces
• Weak* hypercyclicity and supercyclicity of shifts on \(\ell^{\infty }\)
• Szemerédi's theorem, frequent hypercyclicity and multiple recurrence
• Every Weakly Sequentially Hypercyclic Shift is Norm Hypercyclic
• Markov Chains
• Markov Chains
• On orbits of elements
• Weakly recurrent operators

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