# On the asymptotic behavior of Bessel-like diffusions

## TL;DR

This paper investigates the long-term behavior of Bessel-like diffusions specifically in the case where the dimension parameter is zero, providing insights into their transition probability densities.

## Contribution

It derives the asymptotic behavior of the transition probability density for Bessel-like diffusions at dimension zero, a case not thoroughly analyzed before.

## Key findings

- Asymptotic formulas for transition densities derived
- Behavior characterized for zero-dimensional Bessel-like diffusions
- Provides foundational results for further analysis of such processes

## Abstract

We derive the asymptotic behavior of the transition probability density of the Bessel-like diffusions for "dimension" $\rho = 0$.