Dynamics of holomorphic groups

DOI10.1007/s00233-010-9284-4zbMath1218.47060OpenAlexW2026543634MaRDI QIDQ535224

Frederic Bayart

Publication date: 11 May 2011

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-010-9284-4

zbMATH Keywords

semigrouphypercyclic operatorlinear dynamic

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Functional analysis techniques applied to functions of several complex variables (32A70) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Linear dynamics of semigroups generated by differential operators ⋮ Subsemigroups of transitive semigroups ⋮ Chaotic semigroups from second order partial differential equations ⋮ Non-existence of common hypercyclic entire functions for certain families of translation operators ⋮ Common hypercyclic functions for translation operators with large gaps ⋮ Li–Yorke chaos of translation semigroups ⋮ Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces ⋮ Strong mixing measures for \(C_0\)-semigroups ⋮ CHAOS IN THE WEIGHTED BIEBUTOV SYSTEMS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operators with dense, invariant, cyclic vector manifolds
• Hypercyclic behaviour of operators in a hypercyclic \(C_{0}\)-semigroup
• Universal elements for non-linear operators and their applications
• Hypercyclic translation \(C_0\)-semigroups on complex sectors
• Remarks on common hypercyclic vectors
• Common hypercyclic vectors for multiples of backward shift.
• Genericity of wild holomorphic functions and common hypercyclic vectors.