2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161087To offer a view into the rapidly developing theory of fractional diffusion processes we describe in some detail three topics of present interest: (i) the well-scaled passage to the limit from continuous time random walk under power law assumptions to space-time fractional diffusion, (ii) the asymptotic universality of the Mittag-Leffler waiting time law in time-fractional processes, (iii) our method of parametric subordination for generating particle trajectories.33 pages, 3 Figures, 5 eps files. Second International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP 2006), 6-8 September 2006, Aegean University in Karlovassi, Samos, GreeceProbabilityMathematical PhysicsChaotic Dynamics26A33, 45K05, 47G30, 60G18, 60G50, 60G51, 60J60Some recent advances in theory and simulation of fractional diffusion processestext