C. Berge, Théorie des graphes et ses applications, II of Collection Universitaire des Mathématiques. Dunod, 2` eme edition, 1967.

P. Brémaud, Markov chains: Gibbs fields, Monte Carlo simulation and queues, 1999.
DOI : 10.1007/978-1-4757-3124-8

P. Diaconis and D. Strook, Geometric Bounds for Eigenvalues of Markov Chains, The Annals of Applied Probability, vol.1, issue.1, pp.36-61, 1991.
DOI : 10.1214/aoap/1177005980

C. Furtlehner, J. Lasgouttes, and A. Auger, Learning multiple belief propagation fixed points for real time inference. Physica A: Statistical Mechanics and its Applications, pp.149-163, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00371372

P. R. Halmos, Finite-Dimensional Vector Space, 1974.
DOI : 10.1007/978-1-4612-6387-6

D. J. Hartfiel, System behavior in quotient systems, Applied Mathematics and Computation, vol.81, issue.1, pp.31-48, 1997.
DOI : 10.1016/0096-3003(95)00300-2

T. Heskes, Stable fixed points of loopy belief propagation are minima of the Bethe free energy, Advances in Neural Information Processing Systems, 2003.

A. Ihler, J. I. Fischer, and A. Willsky, Loopy belief propagation: Convergence and effects of message errors, J. Mach. Learn. Res, vol.6, pp.905-936, 2005.

F. R. Kschischang, B. J. Frey, and H. A. Loeliger, Factor graphs and the sum-product algorithm, IEEE Transactions on Information Theory, vol.47, issue.2, pp.498-519, 2001.
DOI : 10.1109/18.910572

J. M. Mooij and H. J. Kappen, Sufficient Conditions for Convergence of the Sum–Product Algorithm, IEEE Transactions on Information Theory, vol.53, issue.12, pp.4422-4437, 2007.
DOI : 10.1109/TIT.2007.909166

J. Pearl, Probabilistic Reasoning in Intelligent Systems: Network of Plausible Inference, 1988.

E. Seneta, Non-negative matrices and Markov chains, 2006.
DOI : 10.1007/0-387-32792-4

S. Tatikonda and M. Jordan, Loopy belief propagation and gibbs measures, UAI-02, pp.493-50, 2002.

M. J. Wainwright, Stochastic processes on graphs with cycles: geometric and variational approaches, 2002.

Y. Watanabe and K. Fukumizu, Graph zeta function in the bethe free energy and loopy belief propagation, Advances in Neural Information Processing Systems, pp.2017-2025, 2009.

Y. Weiss, Correctness of Local Probability Propagation in Graphical Models with Loops, Neural Computation, vol.12, issue.1, pp.1-41, 2000.
DOI : 10.1162/neco.1997.9.2.227

J. S. Yedidia, W. T. Freeman, and Y. Weiss, Constructing Free-Energy Approximations and Generalized Belief Propagation Algorithms, INRIA Centre de recherche INRIA Paris ? Rocquencourt Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex, pp.2282-2312, 2005.
DOI : 10.1109/TIT.2005.850085

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.118.9766