Killing versus branching: Unexplored facets of diffusive relaxation
Statistical Mechanics
2024-07-23 v1 Mathematical Physics
math.MP
Data Analysis, Statistics and Probability
Quantum Physics
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.
Cite
@article{arxiv.2403.07164,
title = {Killing versus branching: Unexplored facets of diffusive relaxation},
author = {P. Garbaczewski and M. Zaba},
journal= {arXiv preprint arXiv:2403.07164},
year = {2024}
}
Comments
16 pp, 8 figures