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Existence and non-existence of a finite invariant measure

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Publication:1943239
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DOI10.3836/tjm/1358951323zbMath1266.37003OpenAlexW2019128307MaRDI QIDQ1943239

Arshag Hajian, Yuji Ito, Vidhu S. Prasad, Stanley Eigen

Publication date: 19 March 2013

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

Full work available at URL: https://projecteuclid.org/euclid.tjm/1358951323


zbMATH Keywords

recurrenceweakly wanderingequivalent invariant measureexhaustive weakly wanderingstrongly weakly wandering


Mathematics Subject Classification ID

Nonsingular (and infinite-measure preserving) transformations (37A40)


Related Items (3)

A Furstenberg-Zimmer structure theorem for \(\sigma\)-finite measure spaces ⋮ Focal points and sup-norms of eigenfunctions ⋮ Strongly recurrent transformation groups



Cites Work

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  • On transformations without finite invariant measure
  • Strongly recurrent transformations
  • On measurable transformations in finite measure spaces
  • Theory of Measure and Invariant Integrals
  • Iterates of Measurable Transformations and Markov Operators
  • Weakly Wandering Sequences in Ergodic Theory
  • Cesaro sums and measurable transformations
  • Weakly Wandering Sets and Invariant Measures


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