Elementary Results on K Processes with Weights

L.R.G. Fontes, G.R.C. Peixoto

2013, v.19, Issue 2, 343-370

ABSTRACT

We introduce the title process via a particular construction, and relate it to processes previously studied, in particular a process introduced by G.E.H. Reuter in 1969. We derive elementary properties and quantities of this processes: Markov property, transition rates, stationary distribution, and the infinitesimal generator for a case not treated by Reuter.

Keywords: K processes,trap models,Markov property,transition rates,stationary distribution,infinitesimal generator

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Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
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The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
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Markov Processes And Related Fields

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L.R.G. Fontes, G.R.C. Peixoto