Fractional processes: from Poisson to branching one

Details Fractional processes: from Poisson to branching one Fractional processes: from Poisson to branching one

2010-02-12

arxiv.org/abs/1002.2512v1

International Journal of Bifurcation and Chaos, Vol. 18, No. 9 (2008) 2717-2725

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures

Scientific paper

10.1142/S0218127408021932

Fractional generalizations of the Poisson process and branching Furry process are considered. The link between characteristics of the processes, fractional differential equations and Levy stable densities are discussed and used for construction of the Monte Carlo algorithm for simulation of random waiting times in fractional processes. Numerical calculations are performed and limit distributions of the normalized variable Z=N/ are found for both processes.

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