Thomas Kalmes

Hypercyclic, mixing, and chaotic C0-semigroups induced by semiflows

We characterize when C 0 -semigroups induced by semiflows are hypercyclic, topologically mixing, or chaotic both on spaces of integrable functions and on spaces of continuous functions. Furthermore, we give characterizations of transitivity for weighted composition operators on these spaces.

A simple characterization of chaos for weighted composition ₀-semigroups on Lebesgue and Sobolev spaces

We give a simple characterization of chaos for weighted composition

On Banach spaces of vector-valued random variables and their duals motivated by risk measures

C_0

A REMARK ON THE FREQUENT HYPERCYCLICITY CRITERION FOR WEIGHTED COMPOSITION SEMIGROUPS AND AN APPLICATION TO THE LINEAR VON FOERSTER-LASOTA EQUATION

-semigroups on

A short remark on the surjectivity of the combinatorial Laplacian on infinite graphs

L^p_\rho(\Omega)

Examples of incomplete normed barrelled spaces

for an open interval

Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators

\Omega\subseteq\mathbb{R}

Chaotic C0-semigroups induced by semiflows in Lebesgue and Sobolev spaces

. Moreover, we characterize chaos for these classes of

Strongly continuous semigroups on some Fréchet spaces

C_0

Universal zero solutions of linear partial differential operators

-semigroups on the closed subspace