George Costakis

DYNAMICS OF TUPLES OF MATRICES

In this article we answer a question raised by N. Feldman in \cite{Feldman}concerning the dynamics of tuples of operators on

Universal Taylor series on doubly connected domains with respect to every center

\mathbb{R}^n

Universal Taylor series on non-simply connected domains

. Inparticular, we prove that for every positive integer

Recurrent Linear Operators

n\geq 2

Topologically transitive skew-products of operators

there exist

Hypercyclic operators and rotated orbits with polynomial phases

n

Universal Taylor series on open subsets of Rn

tuples

Topologically transitive skew-products of backward shift operators and hypercyclicity

(A_1, A_2, ..., A_n)

J-CLASS OPERATORS AND HYPERCYCLICITY

of

On the minimal number of matrices which form a locally hypercyclic, non-hypercyclic tuple

n\times n