17 citations · 36 across the 6 of their papers we have counts for
6 papers
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…
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…
(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…
Burgers velocity fields and dynamical transport processes
P. Garbaczewski, G. Kondrat
We explore a connection of the forced Burgers equation with the Schrödinger (diffusive) interpolating dynamics in the presence of deterministic external forces. This entails an exp…
Burgers' Flows as Markovian Diffusion Processes
P. Garbaczewski, G. Kondrat, R. Olkiewicz
We analyze the unforced and deterministically forced Burgers equation in the framework of the (diffusive) interpolating dynamics that solves the so-called Schrödinger boundary data…
Diffusion Process in a Flow
P. Garbaczewski
We establish circumstances under which the dispersion of passive contaminants in a forced, deterministic or random, flow can be consistently interpreted as a Markovian diffusion pr…