Asymptotic of the Green's Function of a Riemannian Manifold and Ito's Stochastic Integrals

AUTOR(ES)

Malliavin, Paul

RESUMO

Quantitative estimates are obtained by comparison with ordinary differential equations associated to a subharmonic exhaustion function q. We associate with q a ratio a, which can be considered as the heat flow in an intrinsic time, and the sup and the inf of a, namely a+ and a-, on the level hypersurfaces of q. Then a+ and a- define heat flows on the real line. Comparison between the heat flow on the manifold and heat flows on the line are obtained by stochastic integrals.

Documentos Relacionados

• Phonon Green's function.
• The Local Formulation for the Modified Green's Function Method
• THE CONFORMAL TRANSFORMATION GROUP OF A COMPACT RIEMANNIAN MANIFOLD
• THE HIGHER-DIMENSIONAL PLATEAU PROBLEM ON A RIEMANNIAN MANIFOLD*
• ON THE GROUP OF CONFORMAL TRANSFORMATIONS OF A COMPACT RIEMANNIAN MANIFOLD*