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Averaging sequences. (English) Zbl 1259.37001

The authors give an averaging condition to find tangentially smooth measures with prescribed Radon-Nikodým cocycle. An example of this type of measures are the harmonic ones for foliations and laminations. The authors present a sufficient hypothesis under which the tangentially smooth measure is harmonic.

MSC:

37A20 Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations
43A07 Means on groups, semigroups, etc.; amenable groups
57R30 Foliations in differential topology; geometric theory
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