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Averaging
sequences
Fernando Alcalde Cuesta and Ana Rechtman |
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Vol. 255 (2012), No. 1, 1–23
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Abstract |
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In the spirit of the Goodman–Plante average condition for the existence of a transverse invariant measure for foliations, we give an averaging condition to find tangentially smooth measures with prescribed Radon–Nikodým cocycle. Harmonic measures are examples of tangentially smooth measures for foliations and laminations. We also present a sufficient hypothesis under which the tangentially smooth measure is harmonic. |
Keywords
lamination, discrete equivalence relation, measure
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Mathematical Subject Classification 2010
Primary: 37A20, 43A07, 57R30
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Milestones
Received: 8 January 2011
Revised: 26 May 2011
Accepted: 24 October 2011
Published: 14 March 2012
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Authors |
| Fernando Alcalde Cuesta | |
| Departamento de Xeometría e
Topoloxía Universidade de Santiago de Compostela Rúa Lope Gómez de Marzoa s/n 15782 Santiago de Compostela Spain |
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| Ana Rechtman | |
| Institut de Recherche Mathématique
Avancée Université de Strasbourg 7 rue René Descartes 67084 Strasbourg France |
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