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Hao-Min Zhou

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Preprint Oct 2026

A Parameterized Stochastic Hamiltonian Process on Graphs with Two-Point Boundary Conditions

This paper presents a Lagrangian framework to solve Wasserstein Hamiltonian flows (WHF) under two-point boundary conditions on large finite graphs. Characterized by a coupled system of discrete master equation and Hamilton-Jacobi (HJ) equation on the probability simplex, this formulation defines the macroscopic WHF. Wh...

Ya-Xin Feng, Yang Xiang, Hao-Min Zhou · 0 citations

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