Basic information theory, thermo-limits for network structures

Language: English

Published by LAP LAMBERT Academic Publishing Nov 2012, 2012

3659260347 / 9783659260346

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 184 pp. Englisch.

Seller Inventory # 9783659260346

Title
Basic information theory, thermo-limits for network structures
Author
Kwabena Doku-Amponsah
Publisher
LAP LAMBERT Academic Publishing Nov 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3659260347
ISBN 13
9783659260346
Item weight
292 grams
Dimensions
220x150x12 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany