Temat: Isomorphism - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Spectral isomorphisms of Morse flows
Autorzy:: Downarowicz, T.
Kwiatkowski, Jan
Lacroix, Y.
Powiązania:: https://bibliotekanauki.pl/articles/1205110.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Morse sequence
spectral isomorphism
Opis:: A combinatorial description of spectral isomorphisms between Morse flows is provided. We introduce the notion of a regular spectral isomorphism and we study some invariants of such isomorphisms. In the case of Morse cocycles taking values in $G = ℤ_p$, where p is a prime, each spectral isomorphism is regular. The same holds true for arbitrary finite abelian groups under an additional combinatorial condition of asymmetry in the defining Morse sequence, and for Morse flows of rank one. Rank one is shown to be a spectral invariant in the class of Morse flows.
Źródło:: Fundamenta Mathematicae; 2000, 163, 3; 193-213
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows
Autorzy:: Downarowicz, T.
Lacroix, Y.
Powiązania:: https://bibliotekanauki.pl/articles/1218333.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: almost 1-1 extension
invariant measure
isomorphism
Toeplitz flow
Opis:: Let $(Z,T_Z)$ be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of $(Z,T_Z)$ is Borel isomorphic to an almost 1-1 extension of $(Z,T_Z)$. 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 flow.
Źródło:: Studia Mathematica; 1998, 130, 2; 149-170
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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