Schroedinger's interpolation problem and its probabilistic solutions

Details Schroedinger's interpolation problem and its probabilistic solutions Schroedinger's interpolation problem and its probabilistic solutions

1998-02-02

arxiv.org/abs/quant-ph/9802003v1

J.Tech.Phys. 38 (1997) 205-209

Physics

Quantum Physics

Tex file, J. Tch. Phys. 38, 205-209, (1997)

Scientific paper

Probablistic solutions of the so called Schr\"{o}dinger boundary data problem provide for a unique Markovian interpolation between any two strictly positive probability densities designed to form the input-output statistics data for a certain dynamical process taking place in a finite-time interval. The key problem is to select the jointly continuous in all variables positive semigroup kernel, appropriate for the phenomenological (physical) situation.

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