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2010
C. Maes and K. Netočnı: Rigorous meaning of McLennan ensembles, Journal of Mathematical Physics 51, 015219 (2010).
2009
M. Baiesi, C. Maes and B. Wynants: Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions ( PS ) , ONLINE 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, (
PS ), 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, ( PS ), 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 ( PDF ): 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 ( PS ), 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, ( PS ), Markov Processes and Related Fields 14, 445-464 (2008).
C. Maes, K. Netočnı and B. Wynants: Steady state statistics of driven diffusions. ( PS ), 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).
Stochastic Models in Biological Sciences,
Eds. R. Bürger, C. Maes and
J. Miekisz, Banach Center
Publications 80, Warszawa (2008).
2007
W. De Roeck and C. Maes: Symmetries of the ratchet current ( PS ), 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 ( PDF ), Comptes Rendus –Physique 8, 591-597 (2007).
C. Maes and K. Netočnı: Minimum entropy production principle from a dynamical fluctuation law ( PDF ): 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 ( PDF ), Letters in Mathematical Physics 79, 251-261 (2007).
C. Maes, F. Redig and E. Saada: Freezing transitions in non-Fellerian particle systems ( PS ), Journal of Statistical Physics 127, 171-189 (2007).
2006
J. Depoorter and C. Maes: Stavskaya's measure is weakly Gibbsian ( PDF ), 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 ( PDF ), Reviews in Mathematical Physics 18, 619-653 (2006).
W. De Roeck, C. Maes and K. Netočnı: H-Theorems from Macroscopic Autonomous Equations ( PS ) J. Stat. Phys. 123, 571-584 (2006).
M. Baiesi, T. Jacobs, C. Maes and Nikos S. Skantzos: Fluctuation symmetries for work and heat ( PDF ) Phys. Rev. E 74, 021111 (2006).
W. De Roeck, C. Maes and K. Netočnı: Quantum Macrostates, Equivalence of Ensembles and an H-theorem (PDF ) 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 ( PDF ), 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 ( PDF ) Phys. Rev. Letters 96, 240601 (2006).
2005
M. Baiesi and C. Maes: On the enstrophy dissipation in two-dimensional turbulence ( PDF ) Phys. Rev. E 72, 056314 (2005).
C. Maes and M.H. van Wieren: Thermoelectric phenomena via an interacting particle system ( PDF ), J. Phys. A: Math. Gen. 38, 005-1020 (2005).
C. Maes: New Trends in Interacting Particle Systems ( PDF ) 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
2004
C. Maes, F. Redig and
W. De Roeck and C. Maes: A quantum version of free energy - irreversible work relations ( PDF ) Phys. Rev. E 69, 26115 (2004).
E. Dinaburg, C. Maes, S. Pirogov, F. Redig and A. Rybko: The Potts model built on sand ( PDF ) 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 ( PDF ), Physica D: Nonlinear phenomena 187, 383-391 (2004).
C. Maes: Fluctuation relations and positivity of the entropy production in irreversible dynamical systems ( PDF ) Nonlinearity 17, 1305 - 1316 (2004).
2003
C. Maes: On the origin and the use of fluctuation relations for the
entropy ( PDF
) Séminaire Poincaré
2, 29-62 (2003).
W. De Roeck, T. Jacobs, C. Maes
and K. Netočnı: An
extension of the Kac ring model ( PDF ) J.
Phys. A: Math. Gen. 36, 1-13 (2003).
C. Maes and M.H. van Wieren:
A Markov Model for Kinesin
( PDF ),
J. Stat. Phys. 112, 329-355 (2003).
C. Maes, K. Netočnı and M. Verschuere: Heat Conduction
Networks ( PDF ) J.
Stat. Phys. 111, 1219-1244 (2003).
C. Maes and
C. Maes and K. Netočnı: Time-reversal and Entropy ( PDF ) J. Stat. Phys. 110, 269-310 (2003).
Joel L. Lebowitz and C. Maes: Entropy - a dialogue
, In: Entropy, Princeton University Press,
Princeton and
C. Maes: Entropy
Production in Driven Spatially Extended Systems, In: Entropy,
Princeton Uniiversity Press,
2002
C. Maes, F. Redig
and M. Verschuere (2002) No current
without heat ( PDF ), J. Stat.Phys. 106, 569-587
C. Maes and K. Netočnı:
Spacetime expansions for weakly coupled interacting
particle systems ( PDF
), J. Phys. A. 35, 3053-3077 (2002).
C. Maes, F. Redig and E. Saada (2002) The abelian sandpile model on an infinite tree , Annals of
Probability 30, 2081-2107.
2001 :
C. Maes, F. Redig and M. Verschuere (2001) From global to local fluctuation theorems ( PDF ), Moscow Mathematical Journal 1. 421-438
C. Maes, F. Redig and M. Verschuere (2001) Entropy Production for Interacting Particle Systems , Markov Proc. Rel. Fields 7, 119-134.
H.-O. Georgii, O. Häggström and C. Maes (2001) 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.
C. Maes (2001) Weakly
Gibbsian measures: how strong? XIIIth International Congress on Mathematical Physics,
2000:
C. Maes and F. Redig (2000) Positivity of Entropy Production, J. Stat. Phys. 101, 3-16.
A.C.D. van Enter, C. Külske and C. Maes (2000) Comment on ``Critical Behavior of the Randomly Diluted 2D Ising Model: A Grand Ensemble Approach'' , Phys. Rev. Lett. 84, 6134.
P.A. Ferrari, C. Maes, L. Ramos and F. Redig (2000) On the Hydrodynamic Equilibrium of a Rod in a Lattice Fluid , J. Phys. A: Math. Gen. 33, 4725-4740.
C. Maes, F. Redig, F. Takens, A. Van Moffaert and
C. Maes, F. Redig and A. Van Moffaert (2000) On the definition of entropy production, via examples , J. Math. Phys. 41, 1528-1554.
C. Maes, F. Redig, S. Shlosman and A. Van Moffaert (2000) Percolation, Path Large Deviations and Weak Gibbsianity , Comm. Math. Phys. 209, 517-545.
A.C.D. van Enter, C. Maes and S.B. Shlosman (2000) Dobrushin'sprogram: 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,
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 Moffaert, Almost 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 , Commun.
Math. Phys. 188,
135-173 (1997).
F. Cesi, C. Maes and F. Martinelli :
Relaxation to equilibrium
for two dimensional Ising systems
in the Griffiths phase , Commun.
Math. Phys. 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
truncated 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'' Ann. of Probab. 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'', J.
Stat. Phys. 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,
Commun. Math. Phys. 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, J. Stat.
Phys. 46, 39-49 (1987).
J. Bricmont, J.L. Lebowitz
and C. Maes: Percolation in Strongly Correlated
Systems : the Massless Gaussian Field, J. Stat. Phys.
48 , 1249-1268 (1987).