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Foliated stochastic calculus: Harmonic measures

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 نشر من قبل Paulo Ruffino Dr.
 تاريخ النشر 2010
  مجال البحث
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In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foliation. The stochastic approach together with a proposed foliated vector calculus provide a natural method to work on harmonic measures. Other results include a decomposition of the Laplacian in terms of the foliated and basic Laplacians, a characterization of totally invariant measures and a differential equation for the density of harmonic measures.

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