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1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Classification of non-ergodic dynamical systems with discrete spectra

100%
Kwiatkowski J.
Commentationes Mathematicae
|
1981
|
tom 22
|
nr 2
EN
The article contains no abstract
2
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Non-singular isomorphism and weak isomorphism on the class of dynamical systems with discrete spectra

100%
Kwiatkowski J.
Commentationes Mathematicae
|
1981
|
tom 22
|
nr 2
EN
The article contains no abstract
3
Content available remote

Weak Closure Theorem fails for ℤ²-actions

64%
Downarowicz T., Kwiatkowski J.
Studia Mathematica
|
2002
|
tom 153
|
nr 2
115-125
EN
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.
4
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A criterion for Toeplitz flows to be topologically isomorphic and applications

51%
Downarowicz T., Kwiatkowski J., Lacroix Y.
Colloquium Mathematicum
|
1995
|
tom 68
|
nr 2
219-228
EN
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 (the last condition implies coalescence). The entropy, however, is only estimated from below. Also the class is obtained in a not completely constructive way. The basic idea of this paper is contained in Section 2, in a criterion which describes homomorphisms (isomorphisms) between Toeplitz flows in terms of a block code simplified to a function sending blocks of a given length to blocks of the same length. This idea is then applied in Section 3 to effectively construct an uncountable family of pairwise nonisomorphic Toeplitz flows with topological entropy equal to a common arbitrarily preset value. Furthermore, all the Toeplitz flows have the same maximal uniformly continuous factor. In Section 4 we obtain conditions sufficient for coalescence of a Toeplitz flow. In particular, all Toeplitz flows of Section 3 turn out to be coalescent. We are grateful to Professor P. Liardet for several helpful conversations and valuable remarks.
5
Content available remote

On the multiplicity function of ergodic group extensions of rotations

51%
R. Goodson G., Kwiatkowski J., Lemańczyk M., Liardet P.
Studia Mathematica
|
1992
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tom 102
|
nr 2
157-174
EN
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.
6
Content available remote

Isomorphism of regular Morse dynamical systems induced by arbitrary blocks

44%
Kwiatkowski J.
Studia Mathematica
|
1986
|
tom 84
|
nr 3
219-246
7
Content available remote

A method of solving a cocycle functional equation and applications

38%
Kwiatkowski J., Rojek T.
Studia Mathematica
|
1991
|
tom 99
|
nr 1
69-86
8
Content available remote

Isomorphism of regular Morse dynamical systems

26%
Kwiatkowski J.
Studia Mathematica
|
1982
|
tom 72
|
nr 1
59-89
9
Content available remote

Invariant measures on the shift space

23%
Kwiatkowski J.
Studia Mathematica
|
1981
|
tom 69
|
nr 1
69-78
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