Hilbert-valued self-intersection local times for planar Brownian motion

TL;DR

This paper extends the Dynkin construction for self-intersection local times of planar Brownian motion to a Hilbert-valued setting, broadening the mathematical framework for analyzing intersections.

Contribution

It introduces a novel Hilbert-valued approach to self-intersection local times, expanding the theoretical understanding of planar Wiener processes.

Findings

Extended Dynkin construction to Hilbert-valued weights.

Provided a new framework for analyzing self-intersections.

Enhanced mathematical tools for planar Brownian motion.

Abstract

In the paper Dynkin construction for self-intersection local time of planar Wiener process is extended on Hilbert-valued weights.