Poisson Hypothesis for Information Networks II. Cases of Violations and Phase Transitions

2004/10/25 by Alexander Rybko, Rybko, Alexander, Senya Shlosman +1
Computer Science · Mathematics · Physics and Astronomy · #60J25 #82C20 #Complex Network Analysis Techniques #Distributed systems and fault tolerance #FOS: Physical sciences #Mathematical Physics (math-ph) #Stochastic processes and statistical mechanics #math-ph #math.MP #msc:60J25 #msc:82C20

paper · pdf · doi:10.48550/arxiv.math-ph/0410053

arxiv created 2004/10/25 · openalex publication_date 2004/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Poisson Hypothesis for Information Networks (A study in non-linear Markov processes) I. Domain of Validity

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