46 citations · 112 across the 11 of their papers we have counts for
5 papers · 1 filter
Probabilistic whereabouts of the "quantum potential"
P. Garbaczewski
We review major appearances of the functional expression in the theory of diffusion-type processes and in quantum mechanically supported dynamical scenarios…
Natural boundaries for the Smoluchowski equation and affiliated diffusion processes
Ph. Blanchard, P. Garbaczewski
The Schrödinger problem of deducing the microscopic dynamics from the input-output statistics data is known to admit a solution in terms of Markov diffusions. The uniqueness of sol…
Schroedinger's Interpolating Dynamics and Burgers' Flows
P. Garbaczewski, G. Kondrat, R. Olkiewicz
We discuss a connection (and a proper place in this framework) of the unforced and deterministically forced Burgers equation for local velocity fields of certain flows, with probab…
Comment on "Why quantum mechanics cannot be formulated as a Markov process"
Piotr Garbaczewski, Robert Olkiewicz
In the paper with the above title, D. T. Gillespie [Phys. Rev. A 49, 1607, (1994)] claims that the theory of Markov stochastic processes cannot provide an adequate mathematical fra…
Nonnegative Feynman-Kac Kernels in Schrödinger's Interpolation Problem
Ph. Blanchard, P. Garbaczewski, R. Olkiewicz
The existing formulations of the Schrödinger interpolating dynamics, which is constrained by the prescribed input-output statistics data, utilize strictly positive Feynman-Kac kern…