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, 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
1983
- M. Mézard, The Large N reduction in spin systems
and Grifiths singularities, Nucl. Phys. B 225 (1983) 551.
1984
- 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.
1985
- 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.
1986
- 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.
1987
- 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.
1988
- 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.
1989
- 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
1990
- 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.
1991
- 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.
1992
- 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.
1993
- M. Mézard, On the ubiquity of spin glass concepts
and methods, Plenary talk at the IVth Bar-Ilan conference, Physica A
200 (1993) 111.
1994
- 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).
1995
- 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.
1996
- 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.
1997
- 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.
1998
- 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.
1999
- 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.
- A. Hazareesing, M. Mézard, Wandering of a
contact-line at thermal equilibrium, Phys. Rev. E 60 (1999) 1269.
2000
- 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.
2001
- 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.
2002
- 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.
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 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
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, 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.
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
- 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
2007
- 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).
2008
- 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
2009
- S. Higuchi, M. Mézard, Decimation flows in
constraint satisfaction problems, J. Stat. Mech. (2009) P12009
2010
- 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
2011
- 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