Geodesic
Classification of Cocycles over Ergodic Automorphisms with Values in the Lorentz Group and Recurrence of Cocycles
Matematičeskie zametki, Tome 93 (2013) no. 6, pp. 869-877.

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It is proved that any $\mathrm{SO}_0(1,d)$-valued cocycle over an ergodic (probability) measure-preserving automorphism is cohomologous to a cocycle having one of three special forms; the recurrence property of such cocycles is also studied.
Keywords: cocycle, ergodic automorphism, recurrence of cocycles, cohomology
Mots-clés : Lorentz group $\mathrm{SO}_0(1,d)$, conformal barycenter. 
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M. E. Lipatov. Classification of Cocycles over Ergodic Automorphisms with Values in the Lorentz Group and Recurrence of Cocycles. Matematičeskie zametki, Tome 93 (2013) no. 6, pp. 869-877. http://geodesic.mathdoc.fr/item/MZM_2013_93_6_a6/

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