Marc Mézard
Laboratoire de Physique Théorique et Modeles Statistiques
Université de Paris Sud, Bat. 100
91405 Orsay - France
Liste des Publications
1980
- C. Bouchiat, Ph Meyer and M. Mézard, Inclusive
observables and hard gluon emission in neutrino deep inelastic
scattering, Nucl. Phys. B 169 (1980) 189.
- P. Fayet and M. Mézard, Searching for a new light
gauge boson in psi, upsilon and positronium decays, Phys. Lett. 104 B
(1980) 226
1983
- M. Mézard, The Large N reduction in spin systems
and Grifiths singularities, Nucl. Phys. B 225 (1983) 551.
1984
- J. Vanimenus and M. Mézard , On
the statistical mechanics of optimization problems of the travelling
salesman type, J. Physique Lett. 45 (1984) L1145
- D. Gross and M. Mézard, The simplest spin
glasses, Nucl. Phys. B 240 (1984) 431.
- M. Mézard and G. Parisi, Self-averaging correlation
function in the mean field theory of spin glasses, J. Physique Lett.
45 (1984) L707
- C. Bouchiat and 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.

1985
- G. Paladin, M. Mézard and C.De Dominicis, Diffusion
in ana ultrametric space : a simple case, J.Physique Lett. 46 (1985)
L985.
- M. Mézard and G. Parisi , Replicas and
optimization, J.de Physique Lett. 46 (1985) L771.
- M. Mézard and M.A. Virasoro, The microstructure of
ultrametricity, J.de Physique 46 (1985) 1293.
- M. Mézard, G. Parisi and M.A. Virasoro, Random free
energie in spin glasses, J. Physique Lett. 46 (1985) L217.
1986
- M. Mézard and G. Parisi, Mean field equations for
the matching and the travelling salesman problems, Europhys. Lett. 2
(1986) 913.
- M. Mézard, J.P. Nadal and G. Toulouse , Solvable
mdels of working memories, J.de Physique 47 (1986) 1457.
- M. Mézard and G. Parisi , A replica analysis of the
travelling salesman problem, J.de Physique 47 (1986) 1285.
- M. Mézard, G. Parisi and A. Virasoro , SK Model :
the replica solution without replicas, Europhys. Lett. 1 (1986) 77-82.
1987
- M. Mézard and W. Krauth, Learning algorithms with
optimal stability in neural networks, J. Physics A20(1987) L745.

- M. Mézard and G. Parisi, One the solution of the
random link matchings problems, J. de Physique 48 (1987) 1451.
- M. Mézard and G. Parisi, Mean fields theory of
randolmy frustrated systems with finite connectivity, Europhys. Lett.
3 (1987) 1067.
1988
- H. Gutfreund and M. Mézard, Processing temporal
sequences in neural networks, Phys.Rev.Lett. 61(1988) 235.

- W. Krauth, J.P.Nadal and M. Mézard, The roles of
stability and symmetry in the dynamics of neural netwoks, J.Phys. A21
(1988) 2995.

- W. Krauth M. Mézard and J.P. Nadal, Basins of
attractions in a perceptron-like neural network, Complex Systems 2
(1988) 387.
- Mézard and G. Parisi , The Euclidian matching
problem, J.de Physique 49 (1988) 2019.
1989
- M. Mézard, The space of interactions in neural
networks : Gardner's computation with the cavity method, J.Phys. A22
(1989) 2181.

- M. Mézard and J.P.Nadal, Learning in feedforward
layered networks : the tiling algorithm, J. Phys. A22 (1989) 2191.

- W. Krauth and M. Mézard, The cavity method and the
travelling salesman problem, Europhys.Lett.8 (1989) 213.
- W. Krauth and M. Mézard, Storage capacity of memory
networks with binary coupling, J. de Physique 50 (1989) 3057
1990
- A. Georges, M. Mézard and 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 and 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 and 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 and J.P. Nadal, Réseaux de neurones et
physique statistique, Images de la Physique 1990.
1991
- R. Brunetti, W. Krauth, M. Mézard and 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 and G. Parisi, Replica field theory for
random manifolds, J. Phys. I 1 (1991) 809.
- J.P. Bouchaud, M. Mézard and J.S. Yedidia, A
variational theory for disordered vortex lattices, Phys. Rev. Lett. 67
(1991) 3840.
- J.P. Bouchaud, M. Mézard, G. Parisi and J.S. Yedidia,
Polymers with long-ranged self-repulsion: a variational
approach,J. Phys. A24 (1991) L1025.
- M. Mézard and G. Toulouse, Des verres de spin aux
reseaux de neurones, La Recherche 232 (1991) vol.22, p. 615.
- J.P. Bouchaud, M. Mézard and 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.
1992
- M. Mézard and A.P. Young, Replica symmetry breaking
in the random field Ising model, Europhys. Lett. 18 (1992) 653.
- J.P. Bouchaud, M. Mézard and J.S. Yedidia, A
variational theory for the pinning of vortex lattices by impurities,
Phys.Rev. B46 (1992) 14686.
- M. Mézard and G. Parisi, A variational approach to
directed polymers, J.Phys. A25 (1992) 4521.

- M. Mézard and G. Parisi, Manifolds in random media:
two extreme cases, J. Phys. I (1992) 2231.
- V.S. Dotsenko, S. Franz and M. Mézard, Memorizing
polymers' shapes and permutations, J. Phys. A25 (1992) 6631.
- S. Franz, M. Mézard and 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.
1993
- M. Mézard, On the ubiquity of spin glass concepts
and methods, Plenary talk at the IVth Bar-Ilan conference, Physica
A200 (1993) 111.
1994
- S. Franz and M. Mézard, Off-equilibrium glassy
dynamics: a simple case, Europhys. Lett. 26 (1994) 209.
- S. Dotsenko, S. Franz and M. Mézard, Partial
annealing and overfrustration in disordered systems V, J. Phys. A27
(1994) 2351.
- S. Franz and M. Mézard, On mean field glassy
dynamics out of equilibrium , Physica A210 (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 and M. Mézard, Self induced quenched
disorder: a model for the glass transition, J. Phys. I (1994) 1109.
- M. Mézard and R. Monasson, Glassy transition in the
three dimensional Random Field Ising Model, Phys. Rev. B50 (1994)
7199.
- M. Mézard, Glassy systems: statics and
dynamics, Invited talk at the XIth International Congress of
Mathematical Physics (Paris 1994).
1995
- W. Krauth and M. Mézard, Aging without disorder on
long time scales, Z. Phys. B97 (1995) 127.
- J.P. Bouchaud, M. Mézard and G. Parisi, Scaling and
intermittency in Burgers turbulence, Phys. Rev. E52 (1995) 3656.
- A. Barrat and M. Mézard, Phase space diffusion and
low temperature aging, J. Phys. I (1995) 941.
- J.P. Bouchaud, C. Godrèche and M. Mézard, Entropy
barriers and slow relaxation in some random walk models, J. Phys. A28
(1995) L603.
1996
- A. Barrat, R. Burioni and M. Mézard, Aging
classification in glassy dynamics, J. Phys. A29 (1996) 1311.
- J.P. Bouchaud, L. Cugliandolo, J. Kurchan and 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 and M. Mézard, Dynamics
within metastable states in a mean field spin glass, J. Phys. A 29
(1996) L81.
- L. Balents, J.P. Bouchaud and M. Mézard, The large
scale energy landscape of randomly pinned objects, J. Phys. I (1996)
1007.
- M. Mézard and G. Parisi, A tentative replica study
of the glass transition, J. Phys. A 29 (1996) 6515.
- J.-P. Bouchaud and 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.
1997
- V. Dotsenko and M. Mézard, Vector breaking of
replica symmetry in some low temperature disordered systems, J. Phys.
A 30 (1997) 3363.
- J.-P. Bouchaud and M. Mézard, Landscape approach
for pinned elastic interfaces, Physica D107 (1997) 174.
- J.-P. Bouchaud and 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 and 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 and M. Mézard, Universality classes
for extreme value statistics, J.Phys.A 30 (1997) 7997.
1998
- C.Bouchiat and 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 and M. Mézard, From Black-Scholes to
twisted DNA,
- D. Bensimon, D. Dohmi and M. Mézard , Stretching an
heteropolymer, Europhys. Lett. 42 (1998) 97.
- S. Franz, M. Mézard, G. Parisi and L. Peliti,
Measuring equilibrium properties in aging systems, Phys. Rev.
Lett. 81 (1998) 1758.
1999
- A. Hazareesing and M. Mézard, Wandering of a
contact-line at thermal equilibrium, Phys Rev E 60 (1999) 1269
- M. Mézard and 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 and G. Parisi, A first principle
computation of the thermodynamics of glasses, J. Chem. Phys. 111, 1076
(1999).
- A. Kamenev and M. Mézard, Wigner-Dyson Statistics
from the Replica Method, J. Phys. A (1999) 4373.
- A. Kamenev and M. Mézard, Level Correlations in
Disordered Metals: the Replica $\sigma$-Model, Phys. Rev. (1999) 3944.
- M. Mézard and G. Parisi, Thermodynamics of glasses:
a first principle computation, J.Phys.Condens. Matter A 11 (1999) 157.
- B. Coluzzi, M. Mézard, G. Parisi and P. Verrochio, J,
Thermodynamics of binary mixture glasses, Chem. Phys. 111 (1999)
9039.
- S. Franz, M. Mézard, G. Parisi and 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 and A. Zee, Spectra of
Euclidean Random Matrices, Nucl. Phys. B559 (1999) 689.
- A. Hazareesing and M. Mézard, Wandering of a
contact-line at thermal equilibrium, Phys. Rev.E 60 (1999) 1269 .
2000
- C. Bouchiat and M. Mézard, Elastic Rod Model of a
Supercoiled DNA Molecule, Eur. Phys. J. E2 (2000) 377.
- J.-P. Bouchaud and M. Mézard, Wealth condensation
in a simple model of economy, Physica A 282 536 (2000).
2001
- I. Giardina,J.-P. Bouchaud and M. Mézard,
Proliferation assisted transport in a random environment, J. Phys.
A34 (2001) L245-L252.
- A. Montanari and M. Mézard, Pulling Hairpinned
Polymers, Phys.Rev.Lett. 86 (2001) 2178.
- V. Martin-Mayor, M. Mézard, G. Parisi and P.
Verrocchio, The dynamical structure factor in topologically
disordered systems, J. Chem. Phys 114 (2001) 8068.
- M. Mézard and G. Parisi, The Bethe lattice spin
glass revisited, Eur. Phys. J. B 20 (2001) 217.
- Jean-Philippe Bouchaud, Irene Giardina , Marc 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.
- Irene Giardina, Jean-Philippe Bouchaud, Marc 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.
2002
- M. Mézard, First steps in Glass Theory, in
"More is different", Ong and Bhatt editors, Princeton (2002).
- Giulio Biroli and Marc 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 A306 (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.
2003
- 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 Poincare 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).
- Marc Mézard, Passing messages between
disciplines, Science 301(2003)1686
2004
- 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.
2005
- 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 and R. Zecchina, Lossy data
compression with random gates, Phys. Rev. Lett. 95 (2005) 038701
- Xiaoming Mao, Paul M. Goldbart, Marc Mézard, Martin
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.
- Marc Mézard, Matteo Palassini, Olivier Rivoire,
Landscape of solutions in constraint satisfaction problems, Phys.
Rev. Lett.95 (2005) 200202
- Stefano Ciliberti, Marc Mézard, The theoretical
capacity of the Parity Source Coder, J. Stat. Mech.(2005) P10003.
- J. Chavas, C. Furtlehner, M. Mézard and R. Zecchina,
Survey-propagation decimation through distributed local
computations, J. Stat. Mech. (2005) P11016.
2006
- 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
- Lenka Zdeborova and Marc Mézard, The number of
matchings in random graphs, J. Stat. Mech. (2006) P05003
- Thierry Mora, Marc Mézard, Geometrical organization
of solutions to random linear Boolean equations, J. Stat. Mech. (2006)
P10007
2007
- Lev Ioffe and Marc Mézard, Asymmetric quantum error
correcting codes, Phys Rev A75 (2007) 032345
- Stefano Ciliberti, Imre Kondor and Marc Mézard, On
the Feasibility of Portfolio Optimization under Expected Shortfall,
Quantitative Finance 7 (2007) 389-396
- M. Mézard and M. Tarzia, Statistical Mechanics of
the Hyper Vertex Cover Problem, Phys. Rev. E 76 (2007) 0411124
- Marc Mézard and Cristina Toninelli, Group Testing
with Random Pools: optimal two-stage algorithms, submitted to IEEE
Trans on Inf. Theory
- S. Ciliberti and M. Mézard, Risk minimization
through portfolio replication European Phys J. B57 (2007).
2008
- M. Mézard, M. Tarzia, and 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 and L. Zdeborova, Hard constraint
satisfaction problems, Phys.Rev.Lett. 101 (2008) 078702
- L. Zdeborova and M. Mézard , Contraint satisfaction
problems with isolated solutions are hard, J. Stat. Mech. 101 (2008)
P12004