Moments of 2D parabolic Anderson model

In this note, we use the Feynman-Kac formula to derive a moment representation for the 2D parabolic Anderson model in small time, which is related to the intersection local time of planar Brownian motions.

Bibliographische Detailangaben
Hauptverfasser: Gu, Y, Xu, W
Format: Journal article
Veröffentlicht: IOS Press 2018
Beschreibung
Zusammenfassung:In this note, we use the Feynman-Kac formula to derive a moment representation for the 2D parabolic Anderson model in small time, which is related to the intersection local time of planar Brownian motions.