Itineration of the Internet over Nonequilibrium Stationary States in Tsallis Statistics

Sumiyoshi Abe; Norikazu Suzuki

doi:10.1103/physreve.67.016106

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Itineration of the Internet over Nonequilibrium Stationary States in Tsallis Statistics

Sumiyoshi Abe·Norikazu Suzuki

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Abstract

The cumulative probability distribution of sparseness time interval in the Internet is studied by the method of data analysis. Round-trip time between a local host and a destination host through ten odd routers is measured using the Ping Command, i.e., doing echo experiment. It is found that the data are well described by the q-exponential destributions, which maximize the Tsallis entropy indexed by q less or larger than unity. The network is observed to itinerate over a series of the nonequilibrium stationary states characterized by Tsallis statistics.

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Sumiyoshi Abe, Norikazu Suzuki. 2003-03-19. Itineration of the Internet over Nonequilibrium Stationary States in Tsallis Statistics. https://doi.org/10.1103/physreve.67.016106

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