Invariant measures on the shift space
Isomorphism of regular Morse dynamical systems induced by arbitrary blocks
Isomorphism of regular Morse dynamical systems
Classification of non-ergodic dynamical systems with discrete spectra
The article contains no abstract
Non-singular isomorphism and weak isomorphism on the class of dynamical systems with discrete spectra
The article contains no abstract
A method of solving a cocycle functional equation and applications
Weak Closure Theorem fails for ℤ²-actions
We construct an example of a Morse ℤ²-action which has rank one and whose centralizer contains elements which cannot be weakly approximated by the transformations of the action.
A criterion for Toeplitz flows to be topologically isomorphic and applications
A dynamical system is said to be coalescent if its only endomorphisms are automorphisms. The question whether there exist coalescent ergodic dynamical systems with positive entropy has not been solved so far and it seems to be difficult. The analogous problem in topological dynamics has been solved by Walters ([W]). His example, however, is not minimal. In [B-K2], a class of strictly ergodic (hence minimal) Toeplitz flows is presented, which have positive entropy and trivial topological centralizers...
Aproximation of Z-cocycles and shift dynamical systems.
Let Gbar = G{nt, nt | nt+1, t ≥ 0} be a subgroup of all roots of unity generated by exp(2πi/nt}, t ≥ 0, and let τ: (X, β, μ) O be an ergodic transformation with pure point spectrum Gbar. Given a cocycle φ, φ: X → Z2, admitting an approximation with speed 0(1/n1+ε, ε>0) there exists a Morse cocycle φ such that the corresponding transformations τφ and τ...
On the multiplicity function of ergodic group extensions of rotations
For an arbitrary set A ⊆ ℕ satisfying 1 ∈ A and lcm(m₁,m₂) ∈ A whenever m₁,m₂ ∈ A, an ergodic abelian group extension of a rotation for which the range of the multiplicity function equals A is constructed.
Page 1