Israel Journal of Mathematics

, 108:37 | Cite as

Multiple recurrence and infinite measure preserving odometers

  • Stanley Eigen
  • Arshag Hajian
  • Kim Halverson


A family of infinite measure preserving odometers is presented which exhibit examples ofp-recurrent but notp+1-recurrent ergodic transformations for everyp>1.


Measure Preserve Transformation Ergodic Transformation Infinite Measure Finite Measure Space Infinite Invariant Measure 
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Copyright information

© Hebrew University 1998

Authors and Affiliations

  1. 1.Department of MathematicsNortheastern UniversityBostonUSA
  2. 2.Department of MathematicsNortheastern UniversityBostonUSA
  3. 3.Department of Computing and Information Technology Leonard N. Stern School of BusinessNew York UniversityNew YorkUSA

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