Generalized Continuous-Time Random Walks (CTRW), Subordination by Hitting Times and Fractional Dynamics
Probability
2022-05-03 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0706.1928,
title = {Generalized Continuous-Time Random Walks (CTRW), Subordination by Hitting Times and Fractional Dynamics},
author = {Vassili N. Kolokoltsov},
journal= {arXiv preprint arXiv:0706.1928},
year = {2022}
}