Basic information theory, thermo-limits for network structures kitap kapağı
Kitap başlığı:

Basic information theory, thermo-limits for network structures

Basic information theory for random networks based on large deviation principles

LAP LAMBERT Academic Publishing (2012-11-28 )

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ISBN-13:

978-3-659-26034-6

ISBN-10:
3659260347
EAN:
9783659260346
Kitabın dili:
İngilizce
Özet:
For suitably defined empirical measures of a class of models of sparse coloured random graphs, we prove large deviation principles,with rate functions explicitly expressed in terms of relative entropies, in the weak topology. Also, under fairly general assumption we prove a joint large deviation principle (LDP), for the empirical pair measure and empirical offspring measure of multitype Galton-Watson tree conditioned to have exactly n vertices in the weak topology. Using these large deviation principles, we find asymptotic equipartition properties for hierarchical structures (modelled as multitype Galton-Watson trees) and networked structures (modelled as coloured random graphs). From our LDP results, we compute Thermodynamic limit of physical quantities such as the magnetization, specific heat, internal energy, susceptibility for the ferromagnetic Ising model on a finite random network.
Yayınevi:
LAP LAMBERT Academic Publishing
Websitesi:
https://www.lap-publishing.com/
Yazar:
Kwabena Doku-Amponsah
Sayfa sayısı:
184
Yayın tarihi:
2012-11-28
Hisse:
Mevcut
Kategori:
Olasılık teorisi, stokastik, matematiksel istatistik
Fiyat:
68.00 €
Anahtar kelimeler:
coloured graphs, multitype Galton-Watson trees, Markov Chain indexed by trees, Asymptotic equipartition property; large deviation principle; thermodynamic limits, typed trees

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