The eigenvalues of non-singular transformations

DOI10.1007/BF02804014zbMath0554.28014MaRDI QIDQ759852

Jon. Aaronson

Publication date: 1983

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

zbMATH Keywords

eigenvaluesHausdorff measure\(\sigma \) -finite invariant measurenon-singular conservative ergodic transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Length, area, volume, other geometric measure theory (28A75)

Related Items

Category theorems for some ergodic multiplier properties ⋮ Non singular transformations and spectral analysis of measures ⋮ The intrinsic normalising constants of transformations preserving infinite measures ⋮ IP-rigidity and eigenvalue groups ⋮ Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations ⋮ Ergodic Theory, Boole Type Transformations, Dynamical Systems Theory ⋮ Groups of quasi-invariance and the Pontryagin duality ⋮ The two-dimensional Boole-type transform and its ergodicity ⋮ Ergodicity of Rokhlin cocycles. ⋮ Point spectra of partially power-bounded operators

Cites Work

• Rational ergodicity, bounded rational ergodicity and some continuous measures on the circle
• Spectra of ergodic group actions
• On the notion of recurrence in discrete stochastic processes
• Induced measure preserving transformations
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