Killing versus branching: Unexplored facets of diffusive relaxation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914878816518144 |
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| author | Garbaczewski, P. Zaba, M. |
| author_facet | Garbaczewski, P. Zaba, M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Killing versus branching: Unexplored facets of diffusive relaxation Garbaczewski, P. Zaba, M. Statistical Mechanics Mathematical Physics Data Analysis, Statistics and Probability Quantum Physics 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. |
| title | Killing versus branching: Unexplored facets of diffusive relaxation |
| topic | Statistical Mechanics Mathematical Physics Data Analysis, Statistics and Probability Quantum Physics |
| url | https://arxiv.org/abs/2403.07164 |