Generalized Continuous-Time Random Walks (CTRW), Subordination by Hitting Times and Fractional Dynamics

Details Generalized Continuous-Time Random Walks (CTRW), Subordination by Hitting Times and Fractional Dynamics Generalized Continuous-Time Random Walks (CTRW), Subordination by Hitting Times and Fractional Dynamics

2007-06-13

arxiv.org/abs/0706.1928v1

Theory of Probability and its Applications 53:4 (2009), 594-609

Mathematics

Probability

Scientific paper

Functional limit theorem for continuous-time random walks (CTRW) are found in general case of dependent waiting times and jump sizes that are also position dependent. The limiting anomalous diffusion is described in terms of fractional dynamics. Probabilistic interpretation of generalized fractional evolution is given in terms of the random time change (subordination) by means of hitting times processes.

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