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arXiv · 2403.07164

Killing versus branching: Unexplored facets of diffusive relaxation

P. Garbaczewski·M. Zaba
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Abstract

We analyze the relaxation dynamics of Feynman-Kac path integral kernel functions in terms of branching diffusion processes with killing. This sheds new light on the admissible path-wise description of the relaxation to equilibrium for conditioned Brownian motions, and diffusion processes with absorbing boundaries, where Feynman-Kac kernels appear as the building blocks of inferred transition probability density functions.

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BibTeXRIS

P. Garbaczewski, M. Zaba. 2024-03-11. Killing versus branching: Unexplored facets of diffusive relaxation. https://doi.org/10.1103/physreve.110.014127

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