Rank and spectral multiplicity

Sébastien Ferenczi; Jan Kwiatkowski

Studia Mathematica (1992)

  • Volume: 102, Issue: 2, page 121-144
  • ISSN: 0039-3223

Abstract

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For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.

How to cite

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Ferenczi, Sébastien, and Kwiatkowski, Jan. "Rank and spectral multiplicity." Studia Mathematica 102.2 (1992): 121-144. <http://eudml.org/doc/215918>.

@article{Ferenczi1992,
abstract = {For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.},
author = {Ferenczi, Sébastien, Kwiatkowski, Jan},
journal = {Studia Mathematica},
keywords = {spectral multiplicity; rank; Morse cocycles; measure-preserving transformation; Morse cocycle; dynamical system; metric invariant; spectral invariant; maximal multiplicity},
language = {eng},
number = {2},
pages = {121-144},
title = {Rank and spectral multiplicity},
url = {http://eudml.org/doc/215918},
volume = {102},
year = {1992},
}

TY - JOUR
AU - Ferenczi, Sébastien
AU - Kwiatkowski, Jan
TI - Rank and spectral multiplicity
JO - Studia Mathematica
PY - 1992
VL - 102
IS - 2
SP - 121
EP - 144
AB - For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.
LA - eng
KW - spectral multiplicity; rank; Morse cocycles; measure-preserving transformation; Morse cocycle; dynamical system; metric invariant; spectral invariant; maximal multiplicity
UR - http://eudml.org/doc/215918
ER -

References

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