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Random Behaviour in Quantum Chaos
Piotr Garbaczewski
We investigate toy dynamical models of energy - level repulsion in quantum (quasi)energy eigenvalue sequences.
Third Newton Law in the Mean and Perturbations of Noise
P. Garbaczewski
We analyze an isothermal Brownian motion of particle ensembles in the Smoluchowski approximation. Contrary to standard procedures, the environmental recoil effects associated with…
Schroedinger's interpolation problem through Feynman-Kac kernels
P. Garbaczewski
We discuss the so-called Schr{ö}dinger problem of deducing the microscopic (basically stochastic) evolution that is consistent with given positive boundary probability densities fo…
Schroedinger's interpolation problem and its probabilistic solutions
P. Garbaczewski
Probablistic solutions of the so called Schrödinger boundary data problem provide for a unique Markovian interpolation between any two strictly positive probability densities desig…