A lambda-graph system for the Dyck shift and its -groups.
A local version of the generalized retract theorem of Ważewski with applications in the theory of partial differential equations of first order
A matrix formalism for conjugacies of higher-dimensional shifts of finite type
We develop a natural matrix formalism for state splittings and amalgamations of higher-dimensional subshifts of finite type which extends the common notion of strong shift equivalence of ℤ⁺-matrices. Using the decomposition theorem every topological conjugacy between two -shifts of finite type can thus be factorized into a finite chain of matrix transformations acting on the transition matrices of the two subshifts. Our results may be used algorithmically in computer explorations on topological...
A non-regular Toeplitz flow with preset pure point spectrum
Given an arbitrary countable subgroup of the torus, containing infinitely many rationals, we construct a strictly ergodic 0-1 Toeplitz flow with pure point spectrum equal to . For a large class of Toeplitz flows certain eigenvalues are induced by eigenvalues of the flow Y which can be seen along the aperiodic parts.
A note on almost periodic points and minimal sets in - and -spaces.
A note on cocycles in ergodic theory
A note on generic chaos
We consider dynamical systems on a separable metric space containing at least two points. It is proved that weak topological mixing implies generic chaos, but the converse is false. As an application, some results of Piórek are simply reproved.
A note on minimal dynamical systems
A note on the centralizer of topological isometric extensions
The centralizer of a semisimple isometric extension of a minimal flow is described.
A note on the structure of quadratic Julia sets
In a series of papers, Bandt and the author have given a symbolic and topological description of locally connected quadratic Julia sets by use of special closed equivalence relations on the circle called Julia equivalences. These equivalence relations reflect the landing behaviour of external rays in the case of local connectivity, and do not apply completely if a Julia set is connected but fails to be locally connected. However, rational external rays land also in the general case. The present...
A note on universal minimal dynamical systems
Let denote the phase space of the universal minimal dynamical system for a group . Our aim is to show that is homeomorphic to the absolute of , whenever is a countable Abelian group.
A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms.
A Remark on the Topological Entropy of Homeomorphisms.
A rest point free dynamical system on with uniformly bounded trajectories
A scenario for transferring high scores
A Simple Proof of Borel's Density Theorem.
A survey of minimal sets
A survey of results on density modulo of double sequences containing algebraic numbers
In this survey article we start from the famous Furstenberg theorem on non-lacunary semigroups of integers, and next we present its generalizations and some related results.
A topology for automata. II.
About Spectral Funnels of Dynamical Systems Without Uniqueness on the Plane