Continuous time random walks with Erlangian pausing time distributions
We discuss a class of non-Markovian continuous time random walks on the infinite one-dimensional lattice. The pausing time distribution which governs the dynamics is chosen to be of the Erlang type (i.e. gamma of integer order). We derive a generalized master equation which exhibits high-order time derivatives. The first moments of the position of the walker are explicitly calculated for asymptotically large time. © 1992.
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DMT/IMT, E.P.F.L., CH-1015 Lausanne, Switzerland
Export Date: 6 December 2012
Language of Original Document: English
Correspondence Address: Hongler, M.-O.; DMT/IMT, E.P.F.L., CH-1015 Lausanne, Switzerland
Record created on 2013-01-07, modified on 2016-08-09