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Aniello Fedullo

Publications and source records attributed to Aniello Fedullo.

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Heisenberg Uncertainty Relations as Statistical Invariants

For a simple set of observables we can express, in terms of transition probabilities alone, the Heisenberg Uncertainty Relations, so that they are proven to be not only necessary, but sufficient too, in order for the given observables to admit a quantum model. Furthermore distinguished characterizations of strictly complex and real quantum models, with some ancillary results, are presented and discussed.

quant-ph

Limit theorems for number of diffusion processes which did not absorb by boundaries

We have random number of independent diffusion processes with absorption on boundaries in some region at initial time $t=0$. The initial numbers and positions of processes in region is defined by Poisson random measure. It is required to estimate of number of the unabsorbed processes for the fixed time \~$τ>0$. The Poisson random measure depends on $τ$ and $τ\to\infty$.

math.PR