Killing versus branching: Unexplored facets of diffusive relaxation
arXiv:2403.07164 · doi:10.1103/PhysRevE.110.014127
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.
16 pp, 8 figures