Blog
About

  • Record: found
  • Abstract: found
  • Article: found
Is Open Access

Fractional processes: from Poisson to branching one

Preprint

Read this article at

Bookmark
      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

      Abstract

      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/<N> are found for both processes.

      Related collections

      Most cited references 9

      • Record: found
      • Abstract: not found
      • Article: not found

      Anomalous transit-time dispersion in amorphous solids

        Bookmark
        • Record: found
        • Abstract: not found
        • Article: not found

        Blinking statistics in single semiconductor nanocrystal quantum dots

          Bookmark
          • Record: found
          • Abstract: not found
          • Article: not found

          Fractional Poisson process

           Nick Laskin (2003)
            Bookmark

            Author and article information

            Journal
            2010-02-12
            1002.2512
            10.1142/S0218127408021932

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            International Journal of Bifurcation and Chaos, Vol. 18, No. 9 (2008) 2717-2725
            11 pages, 6 figures
            cond-mat.stat-mech cond-mat.dis-nn

            Condensed matter, Theoretical physics

            Comments

            Comment on this article