A dimension group for local homeomorphisms and endomorphisms of onesided shifts fo finite type.
A Ford-Fulkerson type theorem concerning vector-valued flows in infinite networks
A mixing dynamical system on the Cantor set.
A new model of the ergodic transformations
A non-ergodic version of Rudolph's theorem
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 the relation between asymptotic rates of a flow under a function and its basis-automorphism
Algebraic Hulls and the Folner Property.
Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows
Let be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of is Borel isomorphic to an almost 1-1 extension of . Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly ergodic toeplitz...
An integral operator inequality with applications.
Asymptotic rate of a flow