Markov random fields, Gibbs states and entropy minimality

The well-known Hammersley-Clifford Theorem states (under certain conditions) that any Markov random field is a Gibbs state for a nearest neighbour interaction. Following Petersen and Schmidt we utilise the formalism of cocycles for the homoclinic relation and introduce "Markov cocycles", r...

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Bibliographic Details
Main Author: Chandgotia, Nishant
Language:English
Published: University of British Columbia 2015
Online Access:http://hdl.handle.net/2429/52913