Itô diffusions, modified capacity and harmonic measure. Applications to Schrödinger operators.
Langue
en
Article de revue
Ce document a été publié dans
International Mathematics Research Notices. 2012, vol. 14, p. 3127-3181
Oxford University Press (OUP)
Résumé en anglais
We observe that some special Itô diffusions are related to scattering properties of a Schrödinger operator on R^d, d>1. We introduce Feynman-Kac type formulae for these stochastic processes which lead us to results on the ...Lire la suite >
Mots clés en anglais
Absolutely continuous spectrum
Schrödinger operator
Itô stochastic calculus
Feynman-Kac type formulae
special potential theory
modified capacity
modified harmonic measure