# Moments of 2D Parabolic Anderson Model

## TL;DR

This paper derives a moment representation for the 2D parabolic Anderson model in small time using the Feynman-Kac formula, linking it to the intersection local time of planar Brownian motions.

## Contribution

It introduces a novel moment representation for the 2D parabolic Anderson model, connecting it to intersection local times of planar Brownian motions.

## Key findings

- Derived a new moment formula for the 2D parabolic Anderson model
- Connected the model's moments to intersection local times of Brownian motions
- Provides insights into small-time behavior of the model

## Abstract

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.