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Journal of Dynamical and Control Systems

, Volume 5, Issue 1, pp 149–152 | Cite as

On Ergodic Transformations with Homogeneous Spectrum

  • O.N. Ageev
Article

Abstract

Rokhlin's problem on the existence of an ergodic transformation having a homogeneous spectrum of a finite multiplicity is solved. Katok's question about the spectral multiplicity function of Cartesian powers for a generic transformations is also answered.

Homogeneous spectrum ergodic theory 

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References

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Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • O.N. Ageev
    • 1
  1. 1.Department of MathematicsMoscow State Technical UniversityMoscow

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