A note on Gibbs and Markov random fields with constraints and their moments

DOI10.2140/memocs.2016.4.407zbMath1376.60069OpenAlexW2619758825MaRDI QIDQ1684477

Alberto Gandolfi, Pietro Lenarda

Publication date: 11 December 2017

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2016.4.407

zbMATH Keywords

momentsGibbs distributionsMarkov random fieldsHammersley-Cliffordhard-core constraintsMoussouris

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Moment problems (44A60) Sufficient statistics and fields (62B05)

Related Items (2)

Random-cluster correlation inequalities for Gibbs fields ⋮ On the characterization of a finite random field by conditional distribution and its Gibbs form

Cites Work

• Quantum probability - quantum logic
• On the toric algebra of graphical models
• Inverses of Vandermonde Matrices
• Probability on Graphs
• On the distinction between the conditional probability and the joint probability approaches in the specification of nearest-neighbour systems
• A Theorem about Random Fields
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