43 citations · 47 across the 8 of their papers we have counts for
13 papers
Kitai's Criterion for Composition Operators
Daniel Gomes, Karl-G. Grosse-Erdmann
We present a general and natural framework to study the dynamics of composition operators on spaces of measurable functions, in which we then reconsider the characterizations for h…
A note on the Wiman-Valiron inequality
Karl-G. Grosse-Erdmann
The Wiman-Valiron inequality relates the maximum modulus of an analytic function to its Taylor coefficients via the maximum term. After a short overview of the known results, we ob…
Rate of growth of random analytic functions, with an application to linear dynamics
Kevin Agneessens, Karl-G. Grosse-Erdmann
We obtain Wiman-Valiron type inequalities for random entire functions and for random analytic functions on the unit disk that improve a classical result of Erdős and Rényi and rece…
Chaotic weighted shifts on directed trees
Karl-G. Grosse-Erdmann, Dimitris Papathanasiou
We study the dynamical behaviour of weighted backward shift operators defined on sequence spaces over a directed tree. We provide a characterization of chaos on very general Fréche…
Dynamics of weighted shifts on directed trees
Karl-G. Grosse-Erdmann, Dimitris Papathanasiou
We study the dynamical behaviour of weighted shifts defined on sequence spaces of a directed tree. In particular, we characterize their boundedness as well as when they are hypercy…
Zero-one law of orbital limit points for weighted shifts
Antonio Bonilla, Rodrigo Cardeccia, Karl-G. Grosse-Erdmann +1
Chan and Seceleanu have shown that if a weighted shift operator on , , admits an orbit with a non-zero limit point then it is hypercyclic. We pr…