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cond-mat.stat-mech2026
Tamed Feynman-Kac diffusion processes: Killing-branching intertwine
Piotr Garbaczewski, Mariusz Żaba
Relaxation to equilibrium of a drifted Brownian motion is quantified by a transition probability density function, whose main (multiplicative) entry is an inferred Feynman-Kac kern…
cond-mat.stat-mech2024★ 1 cited
Killing versus branching: Unexplored facets of diffusive relaxation
P. Garbaczewski, M. Zaba
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…
cond-mat.stat-mech2023★ 2 cited
(Nonequilibrium) dynamics of diffusion processes with non-conservative drifts
P. Garbaczewski, M. Żaba
The nonequilibrium Fokker-Planck dynamics with a non-conservative drift field, in dimension , can be related with the non-Hermitian quantum mechanics in a real scalar pote…