Geodesic
Spectral isomorphisms of Morse flows
Fundamenta Mathematicae, Tome 163 (2000) no. 3, pp. 193-213 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm-163-3-193-213
Keywords: Morse sequence, spectral isomorphism

T. Downarowicz 1 ; J. Kwiatkowski 1 ; Y. Lacroix 1

1 
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T. Downarowicz; J. Kwiatkowski; Y. Lacroix. Spectral isomorphisms of Morse flows. Fundamenta Mathematicae, Tome 163 (2000) no. 3, pp. 193-213. doi: 10.4064/fm-163-3-193-213

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