Marc Mézard

Physicien, professeur à l’Université Bocconi de Milan



  • C. Bouchiat, Ph Meyer, M. Mézard, Inclusive observables and hard gluon emission in neutrino deep inelastic scattering, Nucl. Phys. B 169 (1980) 189.
  • P. Fayet, M. Mézard, Searching for a new light gauge boson in psi, upsilon and positronium decays, Phys. Lett. 104 B (1980) 226


  • M. Mézard, The Large N reduction in spin systems and Grifiths singularities, Nucl. Phys. B 225 (1983) 551.


  • J. Vanimenus, M. Mézard, On the statistical mechanics of optimization problems of the travelling salesman type, J. Physique Lett. 45 (1984) L1145.
  • D. Gross, M. Mézard, The simplest spin glasses, Nucl. Phys. B 240 (1984) 431.
  • M. Mézard, G. Parisi, Self-averaging correlation function in the mean field theory of spin glasses, J. Physique Lett. 45 (1984) L707.
  • C. Bouchiat, M. Mézard, Parity violation in metals, J. de Physique 45 (1984) 1583.
  • M. Mézard, G. Parisi, N. Sourlas, G. Toulouse, M.A. Virasoro, Replica symmetry breaking and the nature of the spin-glass phase, J. de Physique 45 (1984) 843.
  • M. Mézard, G. Parisi, N. Sourlas, G. Toulouse, M.A. Virasoro, On the nature of the spin-glass phase, Phys. Rev. Lett. 52 (1984) 1156.


  • G. Paladin, M. Mézard, C.De Dominicis, Diffusion in ana ultrametric space: a simple case, J. Physique Lett. 46 (1985) L985.
  • M. Mézard, G. Parisi, Replicas and optimization, J. de Physique Lett. 46 (1985) L771.
  • M. Mézard, M.A. Virasoro, The microstructure of ultrametricity, J. de Physique 46 (1985) 1293.
  • M. Mézard, G. Parisi, M.A. Virasoro, Random free energie in spin glasses, J. Physique Lett. 46 (1985) L217.


  • M. Mézard, G. Parisi, Mean field equations for the matching and the travelling salesman problems, Europhys. Lett. 2 (1986) 913.
  • M. Mézard, J.P. Nadal, G. Toulouse, Solvable mdels of working memories, J. de Physique 47 (1986) 1457.
  • M. Mézard, G. Parisi, A replica analysis of the travelling salesman problem, J. de Physique 47 (1986) 1285.
  • M. Mézard, G. Parisi, A. Virasoro, SK Model: the replica solution without replicas, Europhys. Lett. 1 (1986) 77-82.


  • M. Mézard, W. Krauth, Learning algorithms with optimal stability in neural networks, J. Physics A 20(1987) L745.
  • M. Mézard, G. Parisi, One the solution of the random link matchings problems, J. de Physique 48 (1987) 1451.
  • M. Mézard, G. Parisi, Mean fields theory of randolmy frustrated systems with finite connectivity, Europhys. Lett. 3 (1987) 1067.


  • H. Gutfreund, M. Mézard, Processing temporal sequences in neural networks, Phys. Rev. Lett. 61(1988) 235.
  • W. Krauth, J.P.Nadal, M. Mézard, The roles of stability and symmetry in the dynamics of neural netwoks, J. Phys. A 21 (1988) 2995.
  • W. Krauth M. Mézard, J.P. Nadal, Basins of attractions in a perceptron-like neural network, Complex Systems 2 (1988) 387.
  • Mézard, G. Parisi, The Euclidian matching problem, J. de Physique 49 (1988) 2019.


  • M. Mézard, The space of interactions in neural networks: Gardner’s computation with the cavity method, J. Phys. A 22 (1989) 2181.
  • M. Mézard, J.P.Nadal, Learning in feedforward layered networks: the tiling algorithm, J. Phys. A 22 (1989) 2191.
  • W. Krauth, M. Mézard, The cavity method and the travelling salesman problem, Europhys. Lett. 8 (1989) 213.
  • W. Krauth, M. Mézard, Storage capacity of memory networks with binary coupling, J. de Physique 50 (1989) 3057.


  • A. Georges, M. Mézard, J.S. Yedidia, Low temperature phase of the Ising spin glass on a hypercubic lattice, Phys. Rev. Lett. 64 (1990) 2937.
  • M. Mézard, On the glassy nature of random directed polymers in two dimensions, J. de Physique 51 (1990) 1831.
  • M. Mézard, G. Parisi, Interfaces in a random medium and replica symmetry breaking, J. Phys. A 23 (1990) L1229.
  • M. Mézard, Learning algorithms in neural networks: recent results, invited talk at the Les Arcs conference on Neural networks, in « Neurocomputing », eds. F. Fogelman Soulie and J. Herault, Springer Verlag (1990) p.75.
  • A. Georges, M. Mézard, J. Yedidia, The spin glass phase in finite dimensions: an approach through 1/d expansion, invited talk at the 1989 Recife Conference on magnetism in « New trends in magnetism World Scientific 1990 p. 11.
  • M. Mézard, J.P. Nadal, Réseaux de neurones et physique statistique, Intellectica 7 (1990).
  • M. Mézard, Physique statistique et apprentissage dans les reseaux de neurones formels, invited talk at the « Entretiens de Lyon » in « Neural networks : biological computers or electronic brains », Springer Verlag (1990) p.121.
  • M. Mézard, J.P. Nadal, Réseaux de neurones et physique statistique, Images de la Physique 1990.


  • R. Brunetti, W. Krauth, M. Mézard, G. Parisi, Extensive numerical simulations of weighted matchings: total length and distribution of links in the optimal solution, Europhys. Lett. 14 (1991) 295.
  • M. Mézard, G. Parisi, Replica field theory for random manifolds, J. Phys. I 1 (1991) 809.
  • J.P. Bouchaud, M. Mézard, J.S. Yedidia, A variational theory for disordered vortex lattices, Phys. Rev. Lett. 67 (1991) 3840.
  • J.P. Bouchaud, M. Mézard, G. Parisi, J.S. Yedidia, Polymers with long-ranged self-repulsion: a variational approach, J. Phys. A 24 (1991) L1025.
  • M. Mézard, G. Toulouse, Des verres de spin aux reseaux de neurones, La Recherche 232 (1991) vol.22, p. 615.
  • J.P. Bouchaud, M. Mézard, J.S. Yedidia, Some mean field like equations describing the folding of heteropolymers at finite temperature, invited talk at the Elba workshop: « Neural networks: from biology to high energy physics », 1991.


  • M. Mézard, A.P. Young, Replica symmetry breaking in the random field Ising model, Europhys. Lett. 18 (1992) 653.
  • J.P. Bouchaud, M. Mézard, J.S. Yedidia, A variational theory for the pinning of vortex lattices by impurities, Phys.Rev. B 46 (1992) 14686.
  • M. Mézard, G. Parisi, A variational approach to directed polymers, J. Phys. A 25 (1992) 4521.
  • M. Mézard, G. Parisi, Manifolds in random media: two extreme cases, J. Phys. I (1992) 2231.
  • V.S. Dotsenko, S. Franz, M. Mézard, Memorizing polymers’ shapes and permutations, J. Phys. A 25 (1992) 6631.
  • S. Franz, M. Mézard, G. Parisi, On the mean field theory of random heteropolymers, invited talk at the Elba workshop, International Journal of Neural Systems 3 (Supp1992) 195.
  • M. Mézard, On the theory of spin glasses and random field systems, invited talk at the 16th Gwatt workshop on magnetism, 1992, unpublished.


  • M. Mézard, On the ubiquity of spin glass concepts and methods, Plenary talk at the IVth Bar-Ilan conference, Physica A 200 (1993) 111.


  • S. Franz, M. Mézard, Off-equilibrium glassy dynamics: a simple case, Europhys. Lett. 26 (1994) 209.
  • S. Dotsenko, S. Franz, M. Mézard, Partial annealing and overfrustration in disordered systems V, J. Phys. A 27 (1994) 2351.
  • S. Franz, M. Mézard, On mean field glassy dynamics out of equilibrium, Physica A 210 (1994) 48.
  • M. Mézard, Spin glasses: an introduction, Proceedings of the Cargese summer institute on « From statistical physics to statistical inference and back », P. Grassberger and J.P. Nadal eds. Kluwer, 1994.
  • J.P. Bouchaud, M. Mézard, Self induced quenched disorder: a model for the glass transition, J. Phys. I (1994) 1109.
  • M. Mézard, R. Monasson, Glassy transition in the three dimensional Random Field Ising Model, Phys. Rev. B 50 (1994) 7199.
  • M. Mézard, Glassy systems: statics and dynamics, Invited talk at the XIth International Congress of Mathematical Physics (Paris 1994).


  • W. Krauth, M. Mézard, Aging without disorder on long time scales, Z. Phys. B 97 (1995) 127.
  • J.P. Bouchaud, M. Mézard, G. Parisi, Scaling and intermittency in Burgers turbulence, Phys. Rev. E 52 (1995) 3656.
  • A. Barrat, M. Mézard, Phase space diffusion and low temperature aging, J. Phys. I (1995) 941.
  • J.P. Bouchaud, C. Godrèche, M. Mézard, Entropy barriers and slow relaxation in some random walk models, J. Phys. A 28 (1995) L603.


  • A. Barrat, R. Burioni, M. Mézard, Aging classification in glassy dynamics, J. Phys. A 29 (1996) 1311.
  • J.P. Bouchaud, L. Cugliandolo, J. Kurchan, M. Mézard, Mode coupling approximations, glass theory and disordered systems, Physica A 226 (1996) 243.
  • M. Mézard, Random systems and replica field theory, Lecture given at the Les Houches school, Session LXII, 1994; « Fluctuating geometries in statistical mechanics and field theory », F. David, P. Ginsparg and J. Zinn-Justin eds., Elsevier 1996.
  • A. Barrat, R. Burioni, M. Mézard, Dynamics within metastable states in a mean field spin glass, J. Phys. A 29 (1996) L81.
  • L. Balents, J.P. Bouchaud, M. Mézard, The large scale energy landscape of randomly pinned objects, J. Phys. I (1996) 1007.
  • M. Mézard, G. Parisi, A tentative replica study of the glass transition, J. Phys. A 29 (1996) 6515.
  • J.-P. Bouchaud, M. Mézard, Velocity fluctuations in forced Burgers turbulence, Phys. Rev. E. 54 (1996) 5116.
  • M. Mézard, Glassy dynamics, invited talk at « Statphys 19 », Hao Bailin ed., World Scientific 1996.


  • V. Dotsenko, M. Mézard, Vector breaking of replica symmetry in some low temperature disordered systems, J. Phys. A 30 (1997) 3363.
  • J.-P. Bouchaud, M. Mézard, Landscape approach for pinned elastic interfaces, Physica D 107 (1997) 174.
  • J.-P. Bouchaud, M. Mézard, Aging in Glasses: Traps and Mode-Coupling Theory, Prog. Theor. Phys. Supp. 126 (1997) 181.
  • J.-P. Bouchaud, L.F. Cugliandolo, J. Kurchan, M. Mézard, Out of equilibrium dynamics in spin-glasses and other glassy systems, in « Recent progress in random magnets », A.P. Young ed., World Scientific (1997).
  • J.-P. Bouchaud, M. Mézard, Universality classes for extreme value statistics, J. Phys. A 30 (1997) 7997.


  • C.Bouchiat, M. Mézard Elasticity model of a supercoiled DNA molecule, Phys. Rev. Lett. 80 (1998) 1556.
  • M. Mézard, Disordered systems and Burgers turbulence, plenary talk, proceedings of the International Conference of Mathematical Physics (Brisbane 1997), also in the proceedings of the 1998 conference in the memory of Giovanni Paladin.
  • J.-P. Bouchaud, M. Mézard, From Black-Scholes to twisted DNA,
  • D. Bensimon, D. Dohmi, M. Mézard, Stretching an heteropolymer, Europhys. Lett. 42 (1998) 97.
  • S. Franz, M. Mézard, G. Parisi, L. Peliti, Measuring equilibrium properties in aging systems, Phys. Rev. Lett. 81 (1998) 1758.


  • A. Hazareesing, M. Mézard, Wandering of a contact-line at thermal equilibrium, Phys Rev E 60 (1999) 1269.
  • M. Mézard, G. Parisi, Thermodynamics of glasses: a first principle computation, Phys. Rev. Lett. 82 (1999) 747.
  • M. Mézard, How to compute the thermodynamics of a glass using a cloned liquid, Physica A 265 (1999) 352.
  • M. Mézard, G. Parisi, A first principle computation of the thermodynamics of glasses, J. Chem. Phys. 111 (1999) 1076.
  • A. Kamenev, M. Mézard, Wigner-Dyson Statistics from the Replica Method, J. Phys. A (1999) 4373.
  • A. Kamenev, M. Mézard, Level Correlations in Disordered Metals: the Replica $\sigma$-Model, Phys. Rev. (1999) 3944.
  • M. Mézard, G. Parisi, Thermodynamics of glasses: a first principle computation, J. Phys. Condens. Matter A 11 (1999) 157.
  • B. Coluzzi, M. Mézard, G. Parisi, P. Verrochio, Thermodynamics of binary mixture glasses, J. Chem. Phys. 111 (1999) 9039.
  • S. Franz, M. Mézard, G. Parisi, L. Peliti, The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium, J. Stat. Phys. 97 (1999) 459.
  • M. Mézard, G. Parisi, A. Zee, Spectra of Euclidean Random Matrices, Nucl. Phys. B 559 (1999) 689.


  • C. Bouchiat, M. Mézard, Elastic Rod Model of a Supercoiled DNA Molecule, Eur. Phys. J. E 2 (2000) 377.
  • J.-P. Bouchaud, M. Mézard, Wealth condensation in a simple model of economy, Physica A 282 (2000) 536.


  • I. Giardina, J.-P. Bouchaud, M. Mézard, Proliferation assisted transport in a random environment, J. Phys. A 34 (2001) L245-L252.
  • A. Montanari, M. Mézard, Pulling Hairpinned Polymers, Phys. Rev. Lett. 86 (2001) 2178.
  • V. Martin-Mayor, M. Mézard, G. Parisi, P. Verrocchio, The dynamical structure factor in topologically disordered systems, J. Chem. Phys 114 (2001) 8068.
  • M. Mézard, G. Parisi, The Bethe lattice spin glass revisited, Eur. Phys. J. B 20 (2001) 217.
  • J.-P. Bouchaud, I. Giardina, M. Mézard, On a universal mechanism for long ranged volatility correlations, Quantitative Finance 1 (2001) 212.
  • S. Franz, M. Mézard, F. Ricci-Tersenghi, M. Weigt, R. Zecchina, A ferromagnet with a glass transition, Europhys. Lett. 55 (2001) 465.
  • I. Giardina, J.-P. Bouchaud, M. Mézard, Microscopic Models for Long Ranged Volatility Correlations, Proceedings of the NATO Advanced Research Workshop « Application of Physics to Economic Modelling « , Praga (8-10 February) 2001). Physica A 299 (2001) 28-39.


  • M. Mézard, First steps in Glass Theory, in « More is different », Ong and Bhatt editors, Princeton (2002).
  • G. Biroli, M. Mézard, Lattice Glass Models, Phys. Rev. Lett. 88 (2002) 025501.
  • J. Lamarcq, J.-P. Bouchaud, O. C. Martin, M. Mézard, Non-compact local excitations in spin glasses, Europhys. Lett. 58 (2002) 321.
  • F. Krzakala, M. Mézard, M. Mueller, Nature of the glassy phase of RNA secondary structure, Europhys. Lett 55 (2002) 752.
  • M. Mézard, Statistical Physics of the Glass Phase, proceedings of StatPhys XXI, Physica A 306 (2002) 25.
  • J.-P. Bouchaud, M. Mézard, M. Potters, Statistical properties of stock order books: empirical results and models, Quantitative Finance 2 (2002) 251.
  • M. Mueller, F. Krzakala, M. Mézard, The secondary structure of RNA under tension, Eur. Phys. J. E , 67-77 (2002).
  • M. Mézard, G. Parisi, R. Zecchina, Analytic and Algorithmic Solution of Random Satisfiability Problems, Science 297 (2002) 812, published online June 27, 2002, 10.1126/science.1073287
  • M. Mézard, R. Zecchina, The random K-satisfiability problem: from an analytic solution to an efficient algorithm, Phys. Rev. E 66 (2002) 056126.


  • M. Mézard, G. Parisi, The cavity method at zero temperature, J. Stat. Phys. 111 (2003) 1.
  • M. Mézard, F. Ricci-Tersenghi, R. Zecchina, Two solutions to diluted p-spin models and XORSAT problems, J. Stat. Phys. 111 (2003) 505.
  • A. Cavagna, I. Giardina, G. Parisi, M. Mézard, On the formal equivalence of the TAP and thermodynamic methods in the SK model, J. Phys. A: Math. Gen. 36, 1175 (2003).
  • M. Mézard, Optimization and Physics: On the satisfiability of random Boolean formulae, Ann. Henri Poincaré 4, Suppl.1 (2003) S475-S488.
  • A. Braunstein, M. Mézard, M. Weigt, R. Zecchina, Constraint Satisfaction by Survey Propagation, Volume on Computational Complexity and Statistical Physics, Oxford University Press (2003).
  • M. Mézard, Passing messages between disciplines, Science 301 (2003) 1686


  • A. Montanari, M. Mueller, M. Mézard, The Phase Diagram of Random Heteropolymers, Phys. Rev. Lett. 92 (2004) 185509.
  • O. Rivoire, G. Biroli, O. C. Martin, M. Mézard, Glass models on Bethe lattices, Eur. Phys. J. B. 37 (2004) 55-78.
  • M. Mueller, M. Mézard, A. Montanari, Glassy phases in Random Heteropolymers with correlated sequences, J. Chem. Phys. 120 (2004) 11233.
  • O. C. Martin, M. Mézard, O. Rivoire, A frozen glass phase in the multi-index matching problem, Phys. Rev. Lett. 93 (2004) 217205.
  • M. Mézard, Optimization ans physics: on the satisfiability of random boolean formulae, Annales de l’Institut Poincaré de Physique Théorique 4 (2004) S475-S488.
  • B. Servin, O. C. Martin, M. Mézard, F. Hospital, A Toward a theory of marker-assissted gene pyramiding, Genetics 168 (2004) 513-523.


  • A. Braunstein, M. Mézard, R. Zecchina, Survey propagation an algorithm for satisfiability, Random structures and algorithms 27 (2005) 201-226.
  • M. Mézard, T. Mora, R. Zecchina, Clustering of solutions in the random satisfiability problem, Phys. Rev. Lett. 94 (2005) 197205.
  • S. Ciliberti, M. Mézard, R. Zecchina, Lossy data compression with random gates, Phys. Rev. Lett. 95 (2005) 038701.
  • X. Mao, P. M. Goldbart, M. Mézard, M. Weigt, Cavity Approach to the Random Solid State, Phys. Rev. Lett. 95 (2005) 148302.
  • O. C. Martin, M. Mézard, O. Rivoire, Random multi-index matching problems,, J. Stat. Mech. (2005) P09006.
  • M. Mézard, M. Palassini, O. Rivoire, Landscape of solutions in constraint satisfaction problems, Phys. Rev. Lett. 95 (2005) 200202.
  • S. Ciliberti, M. Mézard, The theoretical capacity of the Parity Source Coder, J. Stat. Mech. (2005) P10003.
  • J. Chavas, C. Furtlehner, M. Mézard, R. Zecchina, Survey-propagation decimation through distributed local computations, J. Stat. Mech. (2005) P11016.


  • S. Mertens, M. Mézard, R. Zecchina, Threshold values of Random K-SAT from the cavity method, Random Structures and Algorithms 28 (2006) 340-373.
  • S. Ciliberti, M. Mézard, R. Zecchina, Message passing algorithms for non-linear nodes and data compression, Complexus 3, 58 (2006).
  • A. Braunstein,M. Mézard, M. Weight, R. Zecchina, Constraint satifaction by survey propagation, J. Computational Complexity and Statistical Physics, Oxford Univ. Press 107 (2006)
  • M. Mézard, A. Montanari, Reconstruction on trees and spin glass transition, J. Stat. Phys. 124 (2006) 1317-1350.
  • L. Zdeborova, M. Mézard, The number of matchings in random graphs, J. Stat. Mech. (2006) P05003.
  • T. Mora, M. Mézard, Geometrical organization of solutions to random linear Boolean equations, J. Stat. Mech. (2006) P10007.


  • L. Ioffe, M. Mézard, Asymmetric quantum error correcting codes, Phys Rev A 75 (2007) 032345.
  • S. Ciliberti, I. Kondor, M. Mézard, On the Feasibility of Portfolio Optimization under Expected Shortfall, Quantitative Finance 7 (2007) 389-396.
  • M. Mézard, M. Tarzia, Statistical Mechanics of the Hyper Vertex Cover Problem, Phys. Rev. E 76 (2007) 0411124.
  • S. Ciliberti, M. Mézard, Risk minimization through portfolio replication European Phys J. B 57 (2007).


  • M. Mézard, M. Tarzia, C. Toninelli, Statistical Physics of Group Testing, Journal of Physics, Conferences Series 95 (2008) 012019.
  • H. Daude, M. Mézard, T. Mora, R. Zecchina, Pairs of SAT Assignments and Clustering in Random Boolean Formulae, Theor. Comp. Sci. 393 (2008) 260-279.
  • M. Mézard, L. Zdeborova, Locked constraint satisfaction problems, Phys. Rev. Lett. 101 (2008) 078702.
  • L. Zdeborova, M. Mézard, Contraint satisfaction problems with isolated solutions are hard, J. Stat. Mech. (2008) P12004.


  • S. Higuchi, M. Mézard, Decimation flows in constraint satisfaction problems, J. Stat. Mech. (2009) P12009.


  • M. Castellana, A. Decelle, S. Franz, M. Mézard, G. Parisi, Hierarchical random energy model of spin glass, Phys. Rev.Lett. 104 (2010) 127206.
  • M.V. Feigelman, L.B. Ioffe, M. Mézard, Superconductor-insulator transition and energy localization, Phys. Rev. B 82 (2010) 184534.
  • S. Higuchi, M. Mézard, Correlation-based decimation in constraint satisfaction problems, J. Phys. 233 (2010) 012003.
  • L.B. Ioffe, M. Mézard, Disorder-driven quantum phase transition in superconductors and magnets, Phys. Rev. Lett. 105 (2010) 037001.
  • K. Janzen, A. Engel, M. Mézard, The Lévy spin glass transition, Europhys. Lett. 89 (2010) 67002.
  • K. Janzen, A. Engel, M. Mézard, Thermodynamics of the Lévy spin glass, Phys. Rev. E 82 (2010) 021127.
  • H. Yoshino, M. Mézard, Emergence of rigidity at the structural glass transition: A first principle computation, Phys. Rev. Lett. 105 (2010) 015504.


  • O. Dimitrova, M. Mézard, The cavity method for quantum disordered systems: from transverse random field ferromagnets to directed polymers in random media, J. Stat. Mech. (2011) P01020.
  • M. Mézard, G. Parisi, M. Tarzia, F. Zamponi, On the solution of a ‘solvable’ model of an ideal glass of hard spheres displaying a jamming transition, J. Stat. Mech. (2011) P03002.
  • M. Mézard, C. Toninelli, Group Testing with Random Pools: optimal two-stage algorithms, IEEE Trans on Inf. Theory 57 (2011) 1736-1745.
  • Florian Angeletti, Marc Mézard, Eric Bertin, Patrice Abry, Linearization effect in multifractal analysis: Insights from the Random Energy Model, Physica D 240 (2011) 1245-1253.
  • Marc Mézard and Jason Sakellariou, Exact mean field inference in asymmetric kinetic Ising systems, J. Stat. Mech. (2011)  L07001.
  • Oliver Melchert, Alexander Hartmann and Marc Mézard, Mean-field behavior of the negative-weight percolation model on random regular graphs, Phys. Rev. E 84 (2011)  041106.


  • Jason Sakellariou, Yasser Roudi, Marc Mézard and John Hertz, Effect of coupling asymmetry on mean-field solutions of direct and inverse Sherrington-Kirkpatrick model, Phil. Mag. 92 (2012), 272-279.
  • Florent Krzakala, Marc Mézard, Francois Sausset, Yifan Sun and Lenka Zdeborova, Statistical physics-based reconstruction in compressed sensing, Phys. Rev. X 2 (2012) 021005.
  • Florent Krzakala, Marc Mézard, Francois Sausset, Yifan Sun and Lenka Zdeborova, Probabilistic reconstruction in compressed sensing: Algorithms, phase diagrams, and threshold-achieving matrices, J. Stat. Mech. (2012) P08009.
  • Jean Barbier, Florent Krzakala, Marc Mézard and Lenka Zdeborova, Compressed sensing of approximately-sparse signals: phase transitions and optimal reconstruction, Communication, Control, and Computing (Allerton), 50th Annual Allerton Conference (2012) 800-807.
  • Emilio Cuevas, Mikhail Feigel’man, Lev Ioffe and Marc Mézard, Level statistics of disordered spin1/2 systems ans its implications for materials with localized Cooper pairs, Nature Comm. (2012), 3, 1128.


  • Richard A Neher, Marija Vucelja, Marc Mézard and Boris I. Shraiman, Emergence of clones in sexual populations, J. Stat. Mech. (2013) P01008.
  • Emmanuelle Gouillart, Florent Krzakala, Marc Mézard, Lenka Zdeborova, Belief Propagation Reconstruction for Discrete Tomography, Inverse Problems 29, 3 (2013) 035003.
  • Florent Krzakala, Marc Mézard, Lenka Zdeborova, Compressed Sensing under Matrix Uncertainty: Optimum Thresholds and Robust Approximate Message Passing, Acoustics, Speech and Signal Processing (ICASSP), IEEE International Conference (2013) 5519.
  • Florent Krzakala, Marc Mézard and Lenka Zdeborova, Phase Diagram and Approximate Message Passing for Blind Calibration and Dictionary Learning, Information Theory Proceedings (ISIT), IEEE International Symposium (2013) 659 – 663.
  • Pan Zhang, Florent Krzakala, Marc Mézard, Lenka Zdeborova, Non-adaptive pooling strategies for detection of rare faulty items, IEEE International Conference on Communications Workshops (ICC 2013), (2013) 1409.


  • Andrey Y. Lokhov, Marc Mézard, Hiroki Ohta and Lenka Zdeborova, Inferring the origin of an epidemy with dynamic message-passing algorithm, Phys. Rev. E90, 012801 (2014).
  • Florent Krzakala, Marc Mézard and Lenka Zdeborova, Reweighted belief propagation and quiet planting for random K-SAT, Journal of Satisfiability, Boolean Modelling and Computation 8, (2014), 149-171.


  • Andrey Y. Lokhov, Marc Mézard and Lenka Zdeborova, Dynamic message-passing equations for models with unidirectional dynamics, Phys. Rev. E 91, 012811 (2015).


  • Yoshiyuki Kabashima, Florent Krzakala, Marc Mézard, Ayaka Sakata and Lenka Zdeborova, Phase transitions and sample complexity in Bayes-optimal matrix factorization, IEEE Transactions on Information Theory 62 (2016) 4228-4266.
  • Marc Mézard, Mean-field message-passing equations in the Hopfield model and its generalizations, Phys.Rev. E 95 (2016) 022117.


  • Andre Manoel, Florent Krzakala, Marc Mézard and Lenka Zdeborova, Multi-Layer Generalized Linear Estimation, ISIT 2017, pages 2098-2102.


  • Alexander Hartmann and Marc Mézard, Distribution of diameters for Erdös-Rényi random graphs, Phys. Rev. E 97, 032128 (2018).
  • Marc Mézard, Opinion: artificial intelligence and scientific intelligence, Europhysics News 49/2, 2018.
  • Marc Mézard, Artificial intelligence and its limits, Europhysics News 49/5&6, 2018.


  • Antoine Maillard, Laura Foini, Alejandro Lage-Castellanos, Florent Krzakala, Marc Mézard and Lenka Zdeborovà, High-temperature Expansions and Message Passing Algorithms, J. Stat. Mech. (2019) 113301.
  • Sebastian Goldt, Marc Mézard, Florent Krzakala and Lenka Zdeborovà, Modelling the influence of data structure on learning in neural networks, arXiv:1909.11500
  • Marc Mézard, « L’intelligence artificielle et la démarche scientifique », Le Débat N°207, Paris, Gallimard, Novembre-Décembre 2019.
    Marc Mézard, “Artificial Intelligence and the scientific approach”, Le Débat N°207, Paris, Gallimard, November-December 2019.


Sebastian Goldt, Marc Mézard, Florent Krzakala and Lenka  Zdeborová, Modelling the influence of data structure on learning in neural networks, Phys.Rev. X (2020) 10.041044




 Federica Gerace,  Bruno Loureiro, Marc Mézard, Florent Krzakala and Lenka Zdeborovà Generalization in learning with random features and the hidden manifold model,  International Conference of Machine Learning, ICML 2020, J. Stat. Mech. 2021 124013


  Sebastian Goldt, Bruno Loureiro, Galen Reeves, Florent Krzakala, Marc Mézard and Lenka Zdeborová, The Gaussian equivalence of generative models for learning with shallow networks, Proceedings of the 2nd Mathematical and Scientific Machine Learning Conference, PMLR 145:426-471 (2021)


Antoine Baker, Indaco Biazzo, Alfredo Braunstein, Giovanni Catania, Luca Dall’Asta, Alessandro Ingrosso, Florent Krzakala, Fabio Mazza, Marc Mézard, Anna Paola Muntoni, Maria Refinetti, Stefano Sarao Mannelli, Lenka Zdeborová, Epidemic mitigation by statistical inference from contact tracing data, PNAS, July 2021 Vol 118 No 32 e210654811




Bruno Loureiro, Cédric Gerbelot, Hugo Cui, Sebastian Goldt, Florent Krzakala, Marc Mézard, Lenka Zdeborová, Learning curves of generic features maps for realistic datasets  with a teacher-student model, 35th Conference on Neural Information Processing Systems (NeurIPS 2021), vol 34 p10137–18151. J. Stat. Mech. (2022) 114001

Antoine Maillard, Florent Krzakala, Marc Mézard, Lenka Zdeborová, Perturbative construction of mean-field equations in  extensive-rank matrix factorization and denoising, J.Stat.Mech (2022) 083301

Marc Mézard, Spin Glasses and Optimization in Complex Systems, Europhysics News 53/1 (2022) 17



Francesco Camilli and Marc Mézard, Matrix factorization with neural networks, Phys.Rev.E (2023) 107.064308

Marc Mézard, Spin glass theory and its new challenge : structured disorder, Indian J. Phys (2023)


Carlo Lucibello and Marc Mézard, The exponential capacity of dense associative memories, Phys. Rev. Lett., to appear

Marco Benedetti, Louis Carillo, Enzo Marinari, Marc Mézard, Eigenvector dreaming J. Stat. Mech. (2024) 013302