# Beyond Wentzell-Freidlin: semi-deterministic approximations for diffusions with small noise and a repulsive critical boundary point

## TL;DR

This paper extends a limit theorem for diffusion models in population theory, providing semi-deterministic approximations for small-noise diffusions with a repulsive critical boundary point.

## Contribution

It introduces new semi-deterministic approximation methods for diffusions with small noise near a repulsive boundary, expanding previous theoretical results.

## Key findings

- Extended limit theorem for population diffusion models.
- Developed semi-deterministic approximation techniques.
- Applicable to diffusions with repulsive boundary points.

## Abstract

We extend below a limit theorem of Baker, Chigansky, Hamza and Klebaner (2018) for diffusion models used in population theory.