Elementary results on K processes with weights

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.

Accepted for publication in Markov Processes and Related Fields

References in corpus (2)

• K-processes, scaling limit and aging for the trap model in the complete graph
• Universality of trap models in the ergodic time scale