caa a22 4500 467892032 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10955-006-9104-0 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9104-0 Zaburdaev Vasily Max-Planck-Institute for Dynamics and Self-Organization, Bunsenstr. 10, 37073, Göttingen, Germany aut Random Walk Model with Waiting Times Depending on the Preceding Jump Length [Elektronische Daten] [Vasily Zaburdaev] In the present paper, the generalized continuous time random walk model with a coupled transition kernel is considered. The coupling occurs through the dependence of the waiting time probability distribution on the preceding jump length. For the description of this model, a method is suggested that includes the details of the microscopic distribution over the waiting times and arrival distances at a given point. A close analogy to the problem of a random walk with finite velocity is demonstrated for the particular case of coupling, when a waiting time is a simple function of a preceding jump length. With its help an analytical solution for the generalized random walk model is found, including both effects (finite velocity and jump dependent waiting times) simultaneously. Springer Science+Business Media, Inc., 2006 continuous time random walk model nationallicence coupled transition kernel nationallicence green's function nationallicence fractional derivatives nationallicence levy flights nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 871-881 0022-4715 123:4<871 2006 123 10955 https://doi.org/10.1007/s10955-006-9104-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9104-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zaburdaev Vasily Max-Planck-Institute for Dynamics and Self-Organization, Bunsenstr. 10, 37073, Göttingen, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 871-881 0022-4715 123:4<871 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer