Probability distribution connected to stationary flow of substance in a\n channel of network containing finite number of arms

2020/01/20 by Roumen Borisov, Borisov, Roumen, Zlatinka I. Dimitrova +3
Computer Science · Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical and Computational Modeling #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2002.02288

openalex publication_date 2020/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a channel consisting of nodes of a network and lines which connect\nthese nodes and form ways for motion of a substance through the channel. We\nstudy stationary flow of substance for channel which arms contain finite number\nof nodes each and obtain probability distribution for substance in arms of this\nchannel. Finally we calculate Shannon information measure for the case of\nstationary flow of substance in a simple channel consisting of a single arm\nhaving just three nodes.\n

Citations

• Statistical mechanics of complex networks
• Evolution of networks

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