Bookcover of Basic information theory, thermo-limits for network structures
Booktitle:

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 )

Books loader

Omni badge eligible for voucher
ISBN-13:

978-3-659-26034-6

ISBN-10:
3659260347
EAN:
9783659260346
Book language:
English
Blurb/Shorttext:
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.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Kwabena Doku-Amponsah
Number of pages:
184
Published at:
2012-11-28
Stock:
Available
Category:
Theory of probability, stochastics, mathematical statistics
Price:
68.00 €
Keywords:
coloured graphs, multitype Galton-Watson trees, Markov Chain indexed by trees, Asymptotic equipartition property; large deviation principle; thermodynamic limits, typed trees

Books loader

Newsletter

Adyen::amex Adyen::mc Adyen::visa Adyen::cup Adyen::unionpay Paypal Wire Transfer

  0 products in the shopping cart
Edit cart
Loading frontend
LOADING