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Rank of Gaussian dynamical systems

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Publication:1279973
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DOI10.1007/BF02897066zbMath0930.37028MaRDI QIDQ1279973

Thierry De La Rue

Publication date: 15 February 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

infinite rankGaussian dynamical system


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Measure-preserving transformations (28D05) Generation, random and stochastic difference and differential equations (37H10)


Related Items

Multiplicity, rank pairs, Rigidity and non-recurrence along sequences, A survey on spectral multiplicities of ergodic actions, Weakly homoclinic groups of ergodic actions



Cites Work

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  • Systèmes localement de rang un
  • Joining-rank and the structure of finite rank mixing transformations
  • Mean motion and Gaussian dynamical system
  • Rank is not a spectral invariant
  • The commutant is the weak closure of the powers, for rank-1 transformations
  • Systèmes dynamiques gaussiens d'entropie nulle, lâchement et non lâchement Bernoulli
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