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Classification of cocycles over ergodic automorphisms with values in the Lorentz group and recurrence of cocycles

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Publication:358197
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DOI10.1134/S0001434613050246zbMath1405.37008MaRDI QIDQ358197

M. E. Lipatov

Publication date: 16 August 2013

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

cohomologyconformal barycenterLorentz group \(\mathrm{SO}_0(1,d)\)


Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)


Related Items

Self-joinings and generic extensions of ergodic systems



Cites Work

  • Amenable subgroups of semi-simple groups and proximal flows
  • Ergodic reduction of random products of two-by-two matrices
  • Conformally natural extension of homeomorphisms of the circle
  • Recurrence in unipotent groups and ergodic nonabelian group extensions
  • Jordan normal form for linear cocycles
  • Recurrence of Co-Cycles and Random Walks
  • Induced and amenable ergodic actions of Lie groups
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