Threshold Diffusions
Probability
2025-08-26 v1
Abstract
We propose threshold diffusion processes as unique solutions to stochastic differential equations with step-function coefficients, and obtain explicit expressions for the conditional Laplace transform of the hitting times and the potential measures. Applying these results, we further discuss their asymptotic behaviors such as the stationary distributions and the escape probabilities.
Cite
@article{arxiv.2508.17812,
title = {Threshold Diffusions},
author = {Lina Ji and Chuyang Li and Xiaowen Zhou},
journal= {arXiv preprint arXiv:2508.17812},
year = {2025}
}