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math.PR2025
Discrete Feynman-Kac approximation for parabolic Anderson model using random walks
Panqiu Xia, Jiayu Zheng
In this paper, we introduce a natively positive approximation method based on the Feynman-Kac representation using random walks, to approximate the solution to the one-dimensional…
math.PR2025
Identifiability of SDEs for reaction networks
Louis Faul, Linard Hoessly, Panqiu Xia
Biochemical reaction networks are widely applied across scientific disciplines to model complex dynamic systems. We investigate the diffusion approximation of reaction networks wit…