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Frequent hypercyclicity of random holomorphic functions for Taylor shifts and optimal growth

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Publication:2046145
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DOI10.1007/s11854-021-0164-5OpenAlexW3174430890MaRDI QIDQ2046145

Augustin Mouze, Vincent Munnier

Publication date: 17 August 2021

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-021-0164-5


zbMATH Keywords

holomorphic functionfrequently hypercyclicrandom holomorphic functionTaylor shift


Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)


Related Items

Frequently hypercyclic random vectors ⋮ Growth of frequently or log-frequently hypercyclic functions



Cites Work

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  • Mixing operators and small subsets of the circle
  • Frequent hypercyclicity of random entire functions for the differentiation operator
  • Frequently hypercyclic Taylor shifts
  • Linear chaos
  • Optimal growth of entire functions frequently hypercyclic for the differentiation operator
  • Complex analysis. A functional analysis approach
  • On random frequent universality
  • Some Theorems on Fourier Coefficients
  • Rate of growth of frequently hypercyclic functions
  • Hypercyclic and chaotic weighted shifts
  • Real Analysis and Probability
  • Mixing Taylor shifts and universal Taylor series
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