Limit theorems for continuous time random walks with slowly varying waiting times

Continuous time random walks incorporate a random waiting time between random jumps. They are used in physics to model particle motion. When the time between particle jumps has a slowly varying probability tail, the resulting plume disperses at a slowly varying rate. The limiting stochastic process is useful for modeling ultraslow diffusion in physics.

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Year of publication:	2005
Authors:	Meerschaert, Mark M. ; Scheffler, Hans-Peter
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 71.2005, 1, p. 15-22
Publisher:	Elsevier
Keywords:	Anomalous diffusion Operator stable law Continuous time random walk Fractional derivative

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005211823