Spectral isomorphisms of Morse flows

• Autorzy: T. Downarowicz , Jan Kwiatkowski , Y. Lacroix
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Morse sequence; spectral isomorphism

Kategorie tematyczne

• 42A55: Lacunary series of trigonometric and other functions; Riesz products
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 94A99: None of the above, but in this section
• 11K31: Special sequences

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2000
• Tom: 163
• Numer: 3
• Strony: 193-213

Daty

wydano

2000

poprawiono

199-05-04

otrzymano

1998-12-07

poprawiono

1999-12-07

Twórcy

autor

T. Downarowicz

• Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Jan Kwiatkowski

• Faculty of Mathematics and Informatics, Nicholas Copernicus, University Chopina 12/18, 87-100 Toruń, Poland

autor

Y. Lacroix

• Département de Mathématiques, Faculté des Sciences et Techniques, Université de Bretagne Occidentale, 6 Av. V. Le Gorgeu, B.P. 809 29285 Brest Cedex, France

Bibliografia

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