3 papers
math.PR2026
Optimal Fluctuations for Discrete-time Markov Jump Processes
Feng Zhao, Jinjie Zhu, Yang Li +2
In the last few decades, noise-induced large fluctuations and transition phenomena have garnered significant attention in a variety of scientific contexts. The concept of prehistor…
math.PR2026
Exact Asymptotics for the Exit Time Probabilities of Scalar Ornstein-Uhlenbeck Bridges
Feng Zhao, Yang Li, Jianlong Wang +2
This paper aims to derive accurate asymptotic estimates for the exit time probabilities of scalar Ornstein-Uhlenbeck (OU) bridges. The exit time probabilities are expressed as an a…
math.PR2025
Optimal Fluctuations for Nonlinear Chemical Reaction Systems with General Rate Law
Feng Zhao, Jinjie Zhu, Yang Li +2
This paper investigates optimal fluctuations for chemical reaction systems with N species, M reactions, and general rate law. In the limit of large volume, large fluctuations for s…