Basic information theory, thermo-limits for network structures: Basic information theory for random networks based on large deviation principles - Couverture souple

Doku-Amponsah, Kwabena

 
9783659260346: Basic information theory, thermo-limits for network structures: Basic information theory for random networks based on large deviation principles
Couverture souple
ISBN 10 : 3659260347 ISBN 13 : 9783659260346
Editeur : LAP Lambert Academic Publishing, 2012

Synopsis

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.

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À propos de l?auteur

Kwabena Doku-Amponsah holds BA(hons) degree in Mathematics & Statistics from University of Ghana, MSc Degree in Mathematical Finance from University of Kaiserslautern, Germany and Ph.D Degree in Probability from University of Bath, U.K. Currently, Dr. Doku-Amponsah is Lecturer of Probability in University of Ghana.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP Lambert Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659260347
ISBN 13 
9783659260346
Reliure
Broché
Nombre de pages
184
Coordonnées du fabricant
non disponible
Personne responsable
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