Establishes Transition Path Theory for Lévy-type processes via rigorous SDE representation for transition paths and analysis of their probability distribution, current, and occurrence rate.
arXiv preprint arXiv:2504.06628 (2025)
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The work derives a unified approach to path measures via second-order HJ equations, showing equivalence of large deviation rate functions to Onsager-Machlup functionals and decomposing entropy production as the difference between forward and backward HJ equations.
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Transition Path Theory For L\'{e}vy-Type Processes: SDE Representation and Statistics
Establishes Transition Path Theory for Lévy-type processes via rigorous SDE representation for transition paths and analysis of their probability distribution, current, and occurrence rate.
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A study of path measures based on second-order Hamilton--Jacobi equations and their applications in stochastic thermodynamics
The work derives a unified approach to path measures via second-order HJ equations, showing equivalence of large deviation rate functions to Onsager-Machlup functionals and decomposing entropy production as the difference between forward and backward HJ equations.