National Repository of Grey Literature 13 records found  previous11 - 13  jump to record: Search took 0.01 seconds. 
Speed of Convergence to Equilibrium of Zero Range Process on a Binary Tree
Fajfrová, Lucie
Let us consider the zero range process with the symmetric random walk on a binary tree as the single particle law. The paper bring out an estimate of a rate of convergence of this process to equilibrium in the following sense. We find a lower bound of a spectral gap of finite volume processes. We distinguish two classes of speed function.
Invariant distribution of interacting particle system
Fajfrová, Lucie
In the paper we consider interacting particle system that have zero range interactions. It means we have special Markov process with uncountable state space where one state is a configuration of particles on sites and interactions can occur just among particles at the same site. The natural question are invariant measures of this process. We can find some of them and in special cases we can find just set of extremal invariant measures. We deal with a characterization of the invar. measures in some examples.

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