6533b7d9fe1ef96bd126c259
RESEARCH PRODUCT
Discretization of harmonic measures for foliated bundles
Sébastien Alvarezsubject
Pure mathematicsFiber (mathematics)HolonomyPhysics::OpticsHarmonic (mathematics)Dynamical Systems (math.DS)General MedicineHarmonic measureFOS: MathematicsBijectionFiber bundleMathematics::Differential GeometryUniquenessMathematics - Dynamical SystemsMathematics::Symplectic GeometryMathematicsProbability measuredescription
We prove in this note that there is, for some foliated bundles, a bijective correspondance between Garnett's harmonic measures and measures on the fiber that are stationary for some probability measure on the holonomy group. As a consequence, we show the uniqueness of the harmonic measure in the case of some foliations transverse to projective fiber bundles.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-06-25 | Comptes Rendus Mathematique |