PUBLICATIONS Christian Maes :                                                            
 

  ( BACK to HOMEPAGE)           (PREPRINTS)            (POPULAR WRITINGS)

 

2011

Christian Maes and Senya Shlosman: Rotating states in driven clock- and XY-models, Journal of Statistical Physics 144, 1238–1246 (2011).

 

Eliran Boksenbojm, Christian Maes, Karel Netočnı and Jirka Pešek: Heat capacity in nonequilibrium steady states, Europhysics Letters 96, 40001 (2011).

 Jeremy Clark, Wojciech De Roeck and Christian Maes: Diffusive behavior from a quantum master equation, Journal of Mathematical Physics 52, 083303 (2011).

Christian Maes, Karel Netočnı and BramWynants: Monotone return to steady nonequilibrium, Physical Review Letters 107, 010601 (2011).

Christian Maes and Simi R. Thomas: Archimedes' law and its corrections for an active particle in a granular sea, Journal of Physics A: Math. Theor. 44, 285001 (2011).

 

Soghra Safaverdi, Gerard T. Barkema, Eddy Kunnen, Adam M. Urbanowicz and Christian Maes: Saturation of front-propagation in a reaction-diffusion process describing plasma damage in porous low-k materials, Physical Review B. 83, 245320 (2011).

Marco Baiesi, Christian Maes and BramWynants: The modified Sutherland-Einstein relation for diffusive non-equilibria, Proceedings of the Royal Society A 467, 2792-2809 (2011). doi:10.1098/rspa.2011.0046.

Eddy Kunnen, Gerard T. Barkema, Christian Maes, D. Shamiryan, Adam Urbanowicz, H. Struyf and M.R. Baklanov: Integrated diffusion - recombination model for describing the logarithmic time-dependence of plasma damage in porous low-k materials, Microelectronic Engineering 88, 631-634 (2011).

Matteo Colangeli, Christian Maes and Bram Wynants: A meaningful expansion around detailed balance, Journal of Physics A: Math. Theor. 44, 095001 (2011).

Juan Ruben Gomez-Solano, Artyom Petrosyan, Sergio Ciliberto and Christian Maes: Fluctuations and response in a non-equilibrium micron-sized system, Journal of Statistical Mechanics, P01008 (2011).

Jeremy Clark and Christian Maes: Diffusive Behavior for Randomly Kicked Newtonian Particles in a Spatially Periodic Medium, Communications in Mathematical Physics 301, 229–283 (2011).

2010

W. De Roeck, C. Maes, K.Netočnı and L. Rey-Bellet: A note on the non-commutative Laplace-Varadhan integral lemma, Reviews of Mathematical Physics 22, 839-858 (2010).

C. Maes, K.Netočnı and S.R.Thomas: General no-go condition for stochastic pumping , Journal of Chemical Physics 132, 234116 (2010) (Abstract)

C.Maes and K.Netočnı: Rigorous meaning of McLennan ensembles, Journal of Mathematical Physics 51, 015219 (2010).

C.Maes and B.Wynants: On a response formula and its interpretation , Markov Processes and Related Fields 16, 45-58 (2010).

M.Baiesi, E.Boksenbojm, C.Maes and B.Wynants: Nonequilibrium Linear Response for Markov Dynamics,II : Inertial Dynamics, Journal of Statistical Physics 139, 492-505

C. Maes: Fluctuations and response out-of-equilibrium , Progress of Theoretical Physics Supplement 184, 318-328 (2010).

2009

M. Baiesi, C. Maes and B. Wynants: Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions, J.Stat.Phys. 137, 1094-1116 (2009).

M. Baiesi, C. Maes and B. Wynants: Fluctuations and response of nonequilibrium states, Phys. Rev. Lett. 103, 010602 (2009).

M. Baiesi, C. Maes and K.Netočnı: Computation of current cumulants for small nonequilibrium systems , Journal of Statistical Physics 135, 57-75 (2009).

C. Maes, K.Netočnı and B.Wynants: Dynamical fluctuations for semi-Markov processes , J. Phys. A: Math. Theor.42,365002 (2009).

C. Maes, K.Netočnı and B. Shergelashvili: On the nonequilibrium relation between potential and stationary distribution for driven diffusion , Phys. Rev.E 80, 011121 (2009).

M. Baiesi, C. Maes and K.Netočnı : Exact computation of current cumulants in small Markovian systems , In: Modeling and Simulation of New Materials, Tenth Granada Lectures, Eds. P.L.Garrido, P.I.Hurtado and J.Marro, AIP Conference Proceedings Volume 1091, pp.220-224 (2009).

C.Maes, K.Netočnı and B. Shergelashvili: A selection of nonequilibrium issues , In: Methods of Contemporary Mathematical Statistical Physics, Ed. Roman Koteckı, Lecture Notes in Mathematics 1970, pp. 247-306, Springer, 2009.

2008

C. Maes and K. Netočnı: The canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states, Europhysics Letters 82, 30003 (2008).

J. Derezinski, C. Maes and W. De Roeck: Fluctuations of Quantum Currents and Unravelings of Master Equations,Journal of Statistical Physics 131,341-356 (2008).

C. Maes, K. Netočnı and B. Wynants: On and beyond entropy production; the case of Markov jump processes, Markov Processes and Related Fields:14, 445-464 (2008).

C. Maes, K. Netočnı and B. Wynants: Steady state statistics of driven diffusions., Physica A 387, 2675-2689 (2008).

M. Baiesi, C. Maes and B.M. Shergelashvili: Correlated flares in models of a magnetized 'canopy', Physica A 387, 167-176 (2008).

Eds. R. Bürger, C. Maes and J. Miekisz:  Stochastic Models in Biological Sciences , Banach CenterPublications 80, Warszawa (2008).

2007

S. Bruers, C. Maes and   K. Netočnı: On the validity of entropy production principles for linear electrical circuits, J. Stat. Phys. 129, 725-740 (2007).

W. De Roeck and C. Maes: Symmetries of the ratchet current , Phys. Rev. E 76 , 051117 (2007).

B.M. Shergelashvili, C. Maes, S. Poedts and T.V. Zaqarashvili: Amplification of compressional MHD waves in systems with forced entropy oscillations., Phys. Rev. E 76, 046404 (2007).

C. Maes and K. Netočnı: Static and Dynamical Nonequilibrium Fluctuations , Comptes Rendus -Physique 8, 591-597 (2007).

C. Maes and K. Netočnı: Minimum entropy production principle from a dynamical fluctuation law , Journal of Mathematical Physics 48, 053306 (2007).

C. Maes and Hal Tasaki: Second law of thermodynamics for macroscopic mechanics coupled to thermodynamic degrees of freedom, Letters in Mathematical Physics 79,251-261 (2007).

C. Maes, F. Redig and E. Saada: Freezing transitions in non-Fellerian particle systems , Journal of  Statistical Physics 127,171-189 (2007).

2006

J. Depoorter and C. Maes: Stavskaya's measure is weakly Gibbsian, Markov Processes and Related Fields 12, 791-80 (2006).

W. De Roeck and C. Maes: Steady state fluctuations of the dissipated heat for a quantum stochastic model , Reviews in Mathematical Physics 18, 619-653  (2006).

W. De Roeck, C. Maes and K. Netočnı: H-Theorems from Macroscopic Autonomous Equations, J. Stat. Phys.123, 571-584 (2006).

M. Baiesi, T. Jacobs, C. Maes and Nikos S. Skantzos: Fluctuation symmetries for work and heat, Phys. Rev. E 74, 021111 (2006).

W. De Roeck, C. Maes and  K. Netočnı: Quantum Macrostates, Equivalence of Ensembles and an H-theorem ,J. Math. Phys. 47, 073303 (2006).

M. Baiesi and C. Maes: Realistic time correlations in sandpiles, Europhys. Lett. 75, 413-419 (2006).

C. Maes: Elements of nonequilibrium statistical mechanics,  Summer school Les Houches, Session LXXXIII, 2005, A. Bovier, F. Dunlop, F. den Hollander, A. van Enter and J. Dalibard, eds. (Elsevier), Course 13, pp. 607-655 (2006).

C. Maes and M.H. van Wieren: Time-symmetric fluctuations in nonequilibrium systems , Phys. Rev. Letters 96, 240601 (2006).

C.Maes: Challenges and trends in interacting particle systems, in the Proceedings to the IMA conference on Mathematics in the Science of Complex Systems, 18-21 September, 2006.

2005

M. Baiesi and C. Maes: On the enstrophy dissipation in two-dimensional turbulence, Phys. Rev. E 72, 056314 (2005).

C. Maes and  M.H. van Wieren: Thermoelectric phenomena via an interacting particle system ,  J. Phys. A: Math. Gen. 38, 005-1020 (2005).

C. Maes:New Trends in Interacting Particle Systems , Markov Processes and Related Fields 11, 283-288 (2005).

T. Jacobs and C. Maes: Reversibility and Irreversibility within the Quantum Formalism, Physicalia Mag. 27, 119-130 (2005).

C. Maes, F. Redig and E. Saada: Abelian Sandpile Models in Infinite Volume , Sankyā, the Indian Journal of Statistics 67, 634-661 (2005).

2004

C. Maes, F. Redig and E. Saada: The Infinite Volume Limit of Dissipative Abelian Sandpiles , Communications in Mathematical Physics 244, 395-417 (2004).

W. De Roeck and C. Maes: A quantum version of free energy - irreversible work relations , Phys. Rev. E 69,26115 (2004).

E. Dinaburg, C. Maes, S. Pirogov, F. Redig and A. Rybko: The Potts model built on sand, J. Stat. Phys. 117, 179-198 (2004).

I. Callens, W. De Roeck, T. Jacobs, C. Maes and  K. Netočnı: Quantum Entropy Production as a Measure of Irreversibility, Physica D: Nonlinear phenomena 187, 383-391 (2004).

C. Maes:Fluctuation relations and positivity of the entropy production in irreversible dynamical systems, Nonlinearity 17, 1305 - 1316 (2004).

2003

C. Maes: On the origin and the use of fluctuation relations for the entropy, Séminaire Poincaré 2,  29-62 (2003).

W. De Roeck, T. Jacobs, C. Maes and K. Netočnı:An extension of the Kac ring model, J. Phys. A: Math. Gen. 36, 1-13 (2003).

C. Maes and M.H. van Wieren: A Markov Model for Kinesin, J. Stat. Phys. 112,329-355 (2003).

C. Maes, K. Netočnı and M. Verschuere: Heat Conduction Networks, J. Stat. Phys. 111,1219-1244 (2003).

C. Maes and E. Verbitskiy: Large deviations and a fluctuation symmetry for chaotic homeomorphisms, Communications in Mathematical Physics 233, 137-151 (2003)

C. Maes and K. Netočnı: Time-reversal and Entropy, J. Stat. Phys. 110, 269-310 (2003).

Joel L. Lebowitz and C. Maes: Entropy - a dialogue,  In: Entropy, Princeton University Press,  Princeton and Oxford. Eds. A. Greven,  G. Keller and  G. Warnecke, pp. 269-276 (2003).

C. Maes: Entropy Production in Driven Spatially Extended Systems,In: Entropy, Princeton Uniiversity Press, Princeton and Oxford.Eds. A. Greven, G. Keller and G. Warnecke, pp. 251-267 (2003).

2002

C. Maes, F. Redig and M. Verschuere: No current without heat, J. Stat.Phys. 106, 569-587 (2002).

C. Maes and K. Netočnı: Spacetime expansions for weakly coupled interacting particle systems, J. Phys. A. 35, 3053-3077 (2002).

C. Maes, F. Redig and E. Saada: The abelian sandpile model on an infinite tree, Annals of Probability  30, 2081-2107 (2002).

2001

C. Maes, F. Redig and M. Verschuere: From global to local fluctuation theorems, Moscow Mathematical Journal 1. 421-438 (2001).

C. Maes, F. Redig and M. Verschuere: Entropy Production for Interacting Particle Systems, Markov Proc. Rel. Fields 7, 119-134 (2001).

H.-O. Georgii, O. Häggström and C. Maes: The random geometry of equilibrium phases, Phase Transitions and Critical Phenomena, vol 18 , Eds C. Domb and J.L. Lebowitz (Academic Press, London) pp 1-142, 2001.

C. Maes Weakly Gibbsian measures: how strong?, XIIIth International Congress on Mathematical Physics, Imperial College, London, UK (2000), Eds. .A. Fokas,  A. Grigoryan, T. Kibble, B. Zegarlinski, pp. 235-242, International Press, 2001.

2000

A.C.D. van Enter, C. Külske and C. Maes: Comment on ``Critical Behavior of the Randomly Diluted 2D Ising Model: A Grand Ensemble Approach'' , Phys. Rev. Lett. 84, 6134 (2000).

P.A. Ferrari, C. Maes, L. Ramos and F. Redig: On the Hydrodynamic Equilibrium of a Rod in a Lattice Fluid, J. Phys. A: Math. Gen. 33, 4725-4740 (2000).

C. Maes, F. Redig, F. Takens, A. Van Moffaert and E. Verbitski: Intermittency and weak Gibbs states, Nonlinearity 13, 1681-1698 (2000).

C. Maes, F. Redig and A. Van Moffaert: On the definition of entropy production, via examples, J. Math. Phys. 41, 1528-1554 (2000).

C. Maes, F. Redig, S. Shlosman and  A. Van Moffaert: Percolation, Path Large Deviations and Weak Gibbsianity, Communications in Mathematical Physics 209, 517-545 (2000).

A.C.D. van Enter, C. Maes and S.B. Shlosman (2000) Dobrushin's program: Gibbs, weakly and almost Gibbs random field, Amer. Math. Soc. Transl. 198,  59-70. In: On Dobrushin's way.  From probability to statistical mechanics , Eds. R. Minlos, Yu. Suhov, S. Shlosman.

A.C.D. van Enter, C. Maes, R.H. Schonmann and S.B. Shlosman (2000) The Griffiths Singularity Random Field , Amer. Math. Soc. Transl. 198, 51-58. In: On Dobrushin's way.  From probability to statistical mechanics, Eds. R. Minlos, Yu. Suhov, S. Shlosman.

C. Maes, F. Redig, E. Saada and A. Van Moffaert: On the thermodynamic limit for a one-dimensional sandpile process, Markov Processes and  Related Fields 6, 1-21 (2000).
 

1999:

G Gielis and C Maes: A simple approach to time-inhomogeneous dynamics and applications to (fast) simulated annealing, J. Phys. A: Math. Gen. 32, 5389-5407 (1999).

G. Gielis and C. Maes and K. Vande Velde: Randomly interacting particle systems: the uniqueness regime, Ann. H. Poincaré Physique Théorique 70, 445-472 (1999).

C. Maes, F. Redig and A. Van Moffaert : Potentials for one-dimensional restrictions of Gibbs measures, In: Proceedings of the Marseille conference (July 1998) `Matthematical Results in Statistical Mechanics, Eds S. Miracle-Sole, J. Ruiz, V. Zagrebnov, pp. 485-500 (1999).

C. Maes: The fluctuation theorem as a Gibbs property, J. Stat. Phys. 95, 367-392 (1999).

C. Maes and S.B. Shlosman: Freezing transition in the Ising model without internal contours, Prob. Th. Rel. Fields 115, 479-503 (1999).

C. Maes and W. Spitzer: Hydrodynamics for quasi-free quantum systems, J. Stat. Phys. 94, 893-912 (1999).

C. Maes, F. Redig and A. Van Moffaert: The restriction of the Ising model to a layer, J. Stat. Phys. 96, 69-107 (1999).

C. Maes, F. Redig and A. Van MoffaertAlmost Gibbsian versus weakly Gibbsian measures, Stoch. Proc. Appl. 79, 1-15 (1999).

 

1998:

C. Maes, H. Strauven and A. Van Moffaert: Criticality in creep experiments on cellular glass, Phys. Rev. B 57, 4987-4990 (1998).

J. Lorinczi, C. Maes and K. Vande Velde: Transformations of Gibbs measures, Prob. Theor. Rel. Fields. 112, 121-147 (1998).

K.S. Alexander, F. Cesi, L. Chayes, C. Maes and F. Martinelli: Convergence to equilibrium of random Ising models in the Griffiths' phase, J. Stat. Phys. 92, 337-351 (1998).

1997:

C. Maes and A. Van Moffaert : Stochastic Stability of Weakly Coupled Lattice Maps , Nonlinearity 10, 715-7303 (1997).

C. Maes and K. Vande Velde: Relative energies for non-Gibbsian fields, Commun. Math. Phys. 189, 277-286 (1997).

F. Cesi, C. Maes and F. Martinelli: Relaxation of disordered magnets in the Griffiths' regime, Communications in Mathematical Physics 188, 135-173 (1997).

F. Cesi, C. Maes and F. Martinelli: Relaxation to equilibrium for two dimensional Ising systems in the Griffiths phase, Communications in Mathematical Physics 189, 323-335 (1997).

F. Cesi, C. Maes and F. Martinelli: Relaxation of random magnets : exact results for the Griffiths' regime, Markov Processes and Rel. Fields 4, 465-474 (1997).

J. Lorinczi and C. Maes: Weakly Gibbsian Measures for Lattice Spin Systems. J. Stat. Phys. 89, 561-579 (1997).

J.L. Lebowitz, C. Maes and E.R. Speer: ``Probabilistic Cellular Automata : Some Statistical Mechanical Considerations'', in: Pattern Formation in the Physical and Biological Sciences, Eds. H.F. Nijhout, L. Nadel, and D. Stein, Lecture Notes Volume V, Santa Fe Studies in the Sciences of Complexity, Addison-Wesley, 175-188 (1997).

1996:

G. Gielis and C. Maes: Percolation techniques in disordered spin flip dynamics : relaxation to the unique invariant measure, Commun. Math. Phys. 177, 83-101 (1996).

C. Maes and W. Vanderpoorten: The effect of negative differential conductivity in a driven diffusive lattice gas,  Phys. Rev. B 53, 12 889-12 895 (1996).

C. Maes and W. Spitzer: On the van Hove weak coupling limit for impurity scattering of a quantum particle on a lattice'' J. Phys. A 29, 2553-2565 (1996).

H. de Jong and C. Maes: Extended Application of Constructive Criteria for Ergodicity of  Interacting Particle Systems, Int. J.  Mod. Phys. C7, 1-18 (1996).

G. Gielis and C. Maes: High Temperature Behavior without Analyticity, Markov Processes Relat. Fields 2, 41-50 (1996).

H. Strauven, G. Claes, G. Heylen, G. Crevecoeur and C. Maes: Acoustic emission for the follow-up of creep in cellular glass, Proceedings of the 22nd European Conference on Acoustic Emission Testing (Aberdeen 29-31 May 1996), Eds. L.M. Rogers and P.Tscheliesnig, The Robert Gordon University, Aberdeen, pp. 85-90 (1996).

1995:

G. Giacomin, J.L. Lebowitz and C. Maes: Agreement percolation and phase coexistence in some Gibbs systems'' J. Stat. Phys. 80, 1379-1403 (1995).

C. Maes and K. Vande Velde : The fuzzy Potts model,  J. Phys. A 28, 4261-4270 (1995).

G. Gielis and C. Maes : The uniqueness regime of Gibbs fields with unbounded disorder, J. Stat. Phys. 81, 829-835 (1995).

G. Gielis and C. Maes: Ergodicity in disordered spin systems : stretched exponential relaxation'' Europhys. Lett. 31, 1-5 (1995).

G. Gielis and C. Maes: Local Analyticity and bounds on the  runcated correlation functions in disordered systems, Markov Processes and Related Fields 1, 459-472 (1995).

up to 1994:

J. van den Berg and C. Maes: Disagreement percolation in the study of Markov fields, Annals of Probabilty 22, 749-763 (1994).

C. Maes and K. Vande Velde : The (non-)Gibbsian nature of states invariant under stochastic transformations, Physica A 206 , 587-603 (1994).

M. Fannes, C. Maes and A. Verbeure: Editors of  On three levels: micro-, meso and macro-phenomena in physics,  Plenum (1994), Proceedings of the ASI/ARW Workshop in Leuven, 19-23 July 1993.
M. Fannes, C. Maes and A. Verbeure: Editors of Leuven Notes in Mathematical and Theoretical Physics, Series A: Mathematical Physics, Volume 5
``Quasicrystals, Microscopic models of nonperiodic structures'' by J. Miekisz, Leuven University Press, Leuven (1993).
 
C. Maes and K. Vande Velde: The interaction potential of the stationary measure of a high-noise spinflip process, J. Math. Phys. 34, 3030-3039 (1993).
 
C. Maes and S.B. Shlosman: When is an Interacting Particle System rgodic ?, Commun. Math. Phys. 151, 447-466 (1993).
 
C. Maes: Coupling Interacting Particle Systems, Rev. Math. Phys. 5 , 457-475 (1993).
 
C. Maes and S.B. Shlosman: Constructive criteria for the ergodicity of interacting particle systems'', in : Cellular Automata and Cooperative Systems, Nato ASI Series, pp. 451-461, eds. N. Boccara, E. Goles, S. Martinez and P. Picco, Kluwer, Dordrecht (1993).
 
C. Maes: The (non-)Gibbsian nature of stationary states for stochastic dynamics, in: Phase transitions : mathematics, physics, biology,..., ed. R. Kotecky, World Scientific, Singapore (1993), pp. 138-144, Proceedings of the Workshop held in Prague, June 1-5, 1992.
 
P. Gonzaga de Sa and C. Maes: The Gacs-Kurdyumov-Levin Automaton revisited, J. Stat. Phys. 67, 507-522 (1992).
 
C. Maes and K. Vande Velde: Defining Relative Energies for the Projected Ising Measure, Helv. Phys. Acta 65, 1055-1068 (1992).
 
C. Maes: An Invitation to Probabilistic Cellular Automata, CWI Syllabus 32, pp. 169-179, Mark Kac Seminar on Physics and Stochasticity, eds. F. den Hollander
and H. Maassen, Amsterdam (1992).
 
C. Maes: Cellular Automata and the Natural Sciences, in : Sciences, from Experimentation to Concepts, pp. 189-206, eds. J. Aghion, J. Depireux and R. Holvoet, CsiPwic, CGRI edition (1992).
 
C. Maes and S.B. Shlosman: Ergodicity of Probabilistic Cellular Automata : a constructive criterion, Commun. Math. Phys. 135, 233-251 (1991).
 
C. Maes and F. Redig: Anisotropic Perturbations of the Simple Symmetric Exclusion Process : Long Range Correlations, J. Physique (Paris) 1 , 669-684 (1991).
 
C. Maes and F. Redig: Long Range Correlations for Anisotropic Zero Range Processes, J.  Phys. A : Math. Gen. 24, 4359-4373 (1991).
 
D. Goderis and C. Maes: Constructing quantum dissipations and their reversible states from classical interacting spin systems,  Ann. Inst. Henri Poincaré 55, 805-828 (1991).
 
J.L. Lebowitz, C. Maes and E.R. Speer: Probabilistic Cellular Automata : Some Statistical Mechanical Considerations, in  Lectures in Complex Systems, Santa Fe Institute Studies in the Sciences of Complexity, Lect. Vol. II, pp. 401-414, Ed. Erica Jen, Addison-Wesley (1990).
 
J.L. Lebowitz, C. Maes and E.R. Speer: Statistical Mechanics of Probabilistic Cellular Automata, Journal of Statistical Physics 59, 117-170 (1990).
 
P.L. Garrido, J.L. Lebowitz, C. Maes and H. Spohn: Long Range Correlations for Conservative Dynamics, Physical Review A42, 1954-1968 (1990).
 
C. Maes: Kinetic Limit of a Conservative Lattice Gas Dynamics showing Long Range Correlations. J. Stat. Phys. 61, 667-681 (1990).
 
C. Maes: Some Aspects of the Stochastic Time Evolution of Interacting Spin Systems, in : Mathematical Methods in Statistical Mechanics, eds. M. Fannes and A. Verbeure, Leuven. Notes in Mathematical and Theoretical Physics, Vol 1A, pp. 91-132, Leuven University Press (1989).
 
S. Goldstein, R. Kuik, J.L. Lebowitz and C. Maes: From PCA to Equilibrium System and Back, Communications in Mathematical Physics 125, 71-79  (1989).
 
P.A. Ferrari, J.L. Lebowitz and C. Maes: On the Positivity of Correlations in Nonequilibrium Spin Systems, J. Stat. Phys. 53 , 295-305 (1988).
 
J. Fritz and C. Maes: Derivation of a Hydrodynamic Equation for Ginzburg-Landau Models in an External Field, J. Stat. Phys. 53 , 1179-1206 (1988).
 
J.L. Lebowitz and C. Maes: The Effect of an External Field on an Interface ; Entropic Repulsion, Journal of Statistical Physics 46, 39-49 (1987).
 
J. Bricmont, J.L. Lebowitz and C. Maes: Percolation in Strongly Correlated Systems: the Massless Gaussian Field, Journal of Statistical Physics 48, 1249-1268 (1987).



  ( BACK to HOMEPAGE)           (PREPRINTS)            (POPULAR WRITINGS)

 

Christian Maes, update 1 October 2011