Gaussian lower bound for the FIN diffusion

TL;DR

This paper proves a Gaussian lower bound for the FIN singular diffusion by utilizing the Ray-Knight description of local time, advancing understanding of its probabilistic behavior.

Contribution

It introduces a Gaussian lower bound for the FIN diffusion, a novel result in the analysis of this singular stochastic process.

Findings

Established a Gaussian lower bound for the FIN diffusion

Utilized Ray-Knight description of local time in the proof

Enhanced understanding of the diffusion's probabilistic properties

Abstract

We establish a Gaussian lower bound for the FIN singular diffusion using the Ray-Knight description of the local time.