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math.PR2025
Transition Path Theory For Lévy-Type Processes: SDE Representation and Statistics
Yuanfei Huang, Xiang Zhou
This paper establishes a Transition Path Theory (TPT) for Lévy-type processes, addressing a critical gap in the study of the transition mechanism between meta-stabile states in non…
math.PR2024
Probability Flow Approach to the Onsager--Machlup Functional for Jump-Diffusion Processes
Yuanfei Huang, Xiang Zhou, Jinqiao Duan
The Onsager--Machlup action functional is an important concept in statistical mechanics and thermodynamics to describe the probability of fluctuations in nonequilibrium systems. It…
math.PR2024
The SIR epidemic on a dynamic Erdős-Rényi random graph
Yuanfei Huang, Adrian Röllin
We investigate the SIR epidemic on a dynamic inhomogeneous Erdős-Rényi random graph, in which vertices are of one of types and in which edges appear and disappear independently…