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Flying randomly in $\mathbb{R}^d$ with Dirichlet displacements
Bessel functions Dirichlet distributions fractional Poisson process Mittag-Leer functions hyperspherical coordinates
2011/9/23
Abstract: Random flights in $\mathbb{R}^d,d\geq 2,$ with Dirichlet-distributed displacements and uniformly distributed orientation are analyzed. The explicit characteristic functions of the position $...
Information-Theoretic Capacity and Error Exponents of Stationary Point Processes under Random Additive Displacements
Information-Theoretic Capacity Error Exponents of Stationary Point Processes
2011/2/25
This paper studies the Shannon regime for the random displacement of stationary point processes. Let each point of some initial stationary point process in Rn give rise to one daughter point, the loca...