Poisson Hypothesis for Information Networks II. Cases of Violations and Phase Transitions
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We present examples of queuing networks that never come to equilibrium. That is achieved by constructing Non-linear Markov Processes, which are non-ergodic, and possess eternal transience property.
Keywords
Cite
@article{arxiv.math-ph/0410053,
title = {Poisson Hypothesis for Information Networks II. Cases of Violations and Phase Transitions},
author = {Alexander Rybko and Senya Shlosman},
journal= {arXiv preprint arXiv:math-ph/0410053},
year = {2007}
}