List of publications of Chris Van den Broeck

For reprints, please contact the author.

On the Diffusion Operator of the Multivariate Equation: by C. Van den Broeck, W. Horsthemke and M. Malek Mansour; Physica 89A, 339-352 (1977)
Stochastic Theory for Hydrodynamic Systems: by C. Van den Broeck and L. Brenig; Lect. Not. Phys. 84, 338 (1978)
Stochastic Theory of Hydrodynamic Systems: by L. Brenig and C. Van den Broeck; Phys. Lett. 71A, 395-398 (1979)
Fluctuating Kinetic Equation for a Two-component Boltzmann Gas: by C. Van den Broeck and L. Brenig; Phys. Lett. 73A, 298-302 (1979)
Stochastic Hydrodynamic Theory for One-component Systems: by L. Brenig and C. Van den Broeck; Phys. Rev. A 21, 1039-1048 (1980)
Chapman-Enskog Development of the Multivariate Master Equation: by C. Van den Broeck, J. Houard and M. Malek Mansour; Physica 101A, 167-184 (1980)
The Effect of Direct Interaction on Brownian Diffusion: by C. Van den Broeck, F. Lostak and H.N.W. Lekkerkerker; J. Chem. Phys. 74, 2006-2010 (1980)
Asymptotic Properties of Markovian Master Equations: by M. Malek Mansour, C. Van den Broeck, G. Nicolis, and J.W. Turner; Ann. Phys. 131, 283-313 (1981)
A Stochastic Description of Longitudinal Dispersion in Uniaxial Flows: by C. Van den Broeck; Physica 112A, 343-352 (1982)
Asymptotic Properties of Coupled Non-linear Langevin Equations in the Limit of Weak Noise, I: Cusp Bifurcation: by C. Van den Broeck, M. Malek Mansour and F. Baras; J. Stat. Phys. 28, 557-575 (1982)
Asymptotic Properties of Coupled Non-linear Langevin Equations in the Limit of Weak Noise, II: Transition to a Limit Cycle: by F. Baras, M. Malek Mansour and C. Van den Broeck; J. Stat. Phys. 28, 577-587 (1982)
Inhomogeneous Fluctuations in Reaction-diffusion Systems: by M. Malek Mansour and C. Van den Broeck; published in Instabilities, Bifurcations and Fluctuations in Chemical Systems, 275-304 (1982); Editor(s): L. Reichl, W. Schieve; Publisher: Texas Press, Austin, Texas, USA
A Stochastic Derivation of the Multivariate Master Equation Describing Reaction Diffusion Systems: by C. Van den Broeck; Phys. Lett. 90, 119-122 (1982)
Harmonically Bound Brownian Motion in Flowing Fluids: by C. Van den Broeck, J.M. Sancho and M. San Miguel; Physica 116A, 448-461 (1982)
Multiplicative Dichotomic Markov Noise: Some Exact Dynamical Results and Applications: by C. Van den Broeck; Phys. Lett. 91A, No. 8, 399-400 (1982)
On the Theory of Hydrodynamic Fluctuations in Nonequilibrium Systems: by C. Van den Broeck; Bull. Ac. Roy. Belg. 5LXVIII, 124-140 (1982)
Effect of Sedimentation on Taylor Diffusion: by C. Van den Broeck and E. Dekempeneer,; Phys. Rev. A 27, 2727-2730 (1983)
On the Relation between White Shot Noise, Gaussian-white Noise and the Dichotomic Markov Process: by C. Van den Broeck; J. Stat. Phys. 31, 467-483 (1983)
The Effect of Boundary Absorption on Longitudinal Dispersion in Steady Laminar Flows: by C. Van den Broeck and E. Dekempeneer; ZAMP 34, 489-501 (1983)
Critical Fluctuations in a Thermochemical Instability I: Mean Field Description: by C. Van den Broeck; J. Stat. Phys. 32, 153-168 (1983)
Critical Fluctuations in a Thermochemical Instability: by C. Van den Broeck; Lect. Not. Phys. 179, 264-265 (1983)
Exact Result for the Asymptotic Dispersion of Particles in n-layer Systems: by C. Van den Broeck and R.M. Mazo; Phys. Rev. Lett. 51, 1309-1312 (1983)
Diffusion in Flowing Fluids: by C. Van den Broeck; published in: Tagungsband zur IV Schule Statistische Physik, Teil II, 19-23 (1983); Editor(s): H. Strobel; Publisher: Friedrich Schiller Universität Jena
Stability Criteria and Fluctuations around Nonequilibrium States: by Luo Jiu-Li, C. Van den Broeck and G. Nicolis; Z. Phys. B 56, 165-170 (1984)
Activation Rates for Nonlinear Flows Driven by Non-Gaussian Noise: by C. Van den Broeck and P. Hänggi; Phys. Rev. A. 30, 2730-2736 (1984)
The Asymptotic Dispersion for Particles in n-layer Systems: by C. Van den Broeck and R.M. Mazo; J. Chem. Phys. 81, 3624-3634 (1984)
The Effect of Inhomogeneity on the Residence Time in a Chemical Flow Reactor: by C. Van den Broeck; published in: Nonequilibrium Dynamics in Chemical Systems), 247 (1984); Editor(s): C. Vidal and A. Pacault; Publisher: Springer-Verlag, Berlin
Stochastic Theory of Transition Phenomena in Nonequilibrium Systems: by G. Nicolis and C. Van den Broeck; published in: Nonequilibrium Cooperative Phenomena in Physics and Related Fields, 473-503 (1984); Editor(s): M. Velarde; Publisher: Plenum
Corrélations à Longue Portée et Structures de Non-Equilibre: by C. Van den Broeck; Nouvelles de la Science et des Technologies 2, 17-19 (1984) and Boletin Sociedade Portuguesa de Quimica 20, 19-21 (1985)
An Exact Result for the Incoherent Scattering Function in Dilute Suspensions: by C. Van den Broeck; J. Chem. Phys. 82, 4248-4253 (1985)
Stochastic Limit Theorems: Some Examples from Nonequilibrium Physics: by C. Van den Broeck; published in: Stochastic Space-Time Models and Limit Theorems, 179-189 (1985); Editor(s): L. Arnold and P. Kotelenez, D. Reidel
The Master Equation and Some Applications in Physics: by C. Van den Broeck; published in: Stochastic Processes Applied to Physics, 1-28 (1985); Editor(s): L. Pesquera and M.A. Rodriquez; Publisher: World Scientific, Singapore
Stochastic Thermodynamics: by C. Van den Broeck; published in: Selforganization by Nonlinear Irreversible Processes, 57-61 (1986); Editor(s): W. Ebeling and H. Ulbricht; Publisher: Springer, Berlin
The Spectrum of an Oscillator Making a Random Walk in Frequency: by R.M. Mazo and C. Van den Broeck; Phys. Rev. A34, 2364-2374 (1986)
Stochastic Description of the Dynamics of Interacting Brownian Particles: by R.J.A. Tough, P.N. Pusey, H.N.W. Lekkerkerker, and C. Van den Broeck; Mol. Phys. 59, 595-619 (1986)
Decay Times in One-Dimensional Chains: by C. Van den Broeck and M. Bouten; J. Stat. Phys. 45, 1031-1047 (1986)
Brownian Motion in Concentrated Suspensions: by C. Van den Broeck; Lect. Not. Phys. 253, 329-333 (1986)
Asymptotic Dispersion of Particles in N-Layer Systems: Periodic Boundary Conditions: by R.M. Mazo and C. Van den Broeck; J. Chem. Phys. 86, 454-459 (1987)
Delayed Bifurcations in the Presence of Noise: by C. Van den Broeck and P. Mandel; Phys. Lett. 122A, 36-38 (1987)
A Monte Carlo Simulation of Coagulation: by A. Garcia, C. Van den Broeck, M. Aertsens, and R. Serneels; Physica 143A, 535-546 (1987)
Retention and Peak Width in Field Flow Fractionation with Wall Effects: by C. Van den Broeck and D. Maes; Sep. Sci. Techn. 22, 1269-1280 (1987)
Random Walk with Persistence: by I. Claes and C. Van den Broeck; J. Stat. Phys. 49, 383-392 (1987)
Lower Bounds for the Asymptotic Rate of Dispersion in Generalized Taylor Diffusion: by C. Van den Broeck, D. Maes and M. Bouten; Phys. Rev. A36, 5025-5030 (1987)
Discrete Versus Time Continuous Random Walks: by D. Maes and C. Van den Broeck; J. Stat. Phys. 50, 1089-1102 (1988)
A Thermochemical Instability II: Inhomogeneous Fluctuations: by E. Tirapegui and C. Van den Broeck; J. Stat. Phys. 50, 439-458 (1988)
Switching in the Presence of Colored Noise: the Decay of an Unstable State: by M. James, F. Moss, P. Hänggi and C. Van den Broeck; Phys. Rev. A38, 4690-4695 (1988)
First Passage Times of Non-Markovian Processes: the Case of a Reflecting Boundary: by V. Balakrishnan, C. Van den Broeck and P. Hänggi; Phys. Rev. A38, 4213-4222 (1988)
The Renewal Equation for Persistent Diffusion: by V. Balakrishnan, S. Lakshmibala and C. Van den Broeck; Physica A153, 57-66 (1988)
First-Passage Times for Nonlinear Evolution in the Presence of Dichotomous Noise: by G. Tsironis and C. Van den Broeck; Phys. Rev. A38, 4362-4364 (1988)
Random Walks, Dispersion and Trapping: by C. Van den Broeck; Nucl. Phys. B5A, 229-233 (1988)
A Glimpse into the World of Random Walks: by C. Van den Broeck; published in: Noise and Nonlinear Phenomena in Nuclear Systems, 3-18 (1988); Editor(s): J.L. Munoz-Cobo and F.C. Difilippo; Publisher: Plenum
Diffusion within a Sphere: a Non-Gaussian Statistical Model for Particle Displacements in a Dense Colloidal Suspension: by R.J.A. Tough and C. Van den Broeck; Physica A157, 769-796 (1989)
Waiting Times for Random Walks on Regular and Fractal Lattices: by C. Van den Broeck; Phys. Rev. Lett. 62, 1421-1424 (1989)
Influence of Noise on Delayed Bifurcations: by H. Zeghlache, P. Mandel and C. Van den Broeck; Phys. Rev. A40, 286-294 (1989)
Renormalization of First Passage Times for Random Walks on Deterministic Fractals: by C. Van den Broeck; Phys. Rev. A40, 7334-7345(1989)
Random Walks on Fractals: by C. Van den Broeck; in: Irreversible Processes and Selforganization, 57-64, Teubner-Texte zur Physik (1989); Editor(s): W. Ebeling and H. Ullbricht; Publisher: Teubner-Verlag, Leipzig
Nonlinear Polymer Diffusion with Interchange Reactions: by A. Garcia and C. Van den Broeck; published in the Proceedings of the 2nd Woodward Conference "Nonlinear Structures in Physical Systems", p. 293-298 (1990); Editor(s): L. Lam and H.C. Morris; Publisher: Springer Verlag, New York, USA
Orientational Relaxation in the Reptation Model: by I. Claes and C. Van den Broeck; Trends in Chem. Phys. 1, 7-16(1990)
Learning in Feedforward Boolean Networks: by C. Van den Broeck and R. Kawai; Phys. Rev. A42., 6210-6218 (1990)
Taylor Diffusion Revisited: by C. Van den Broeck; Physica A168, 677-696(1990)
First Passage Times and Transport in Systems with Disorder: by C. Van den Broeck and V. Balakrishnan; Zeitschr. f. Phys. Chem. 95, 342-348 (1991)
Coagulation Reaction in a One-Dimensional Gas: by Wen-Shyan Sheu, C. Van den Broeck and K. Lindenberg; Phys. Rev. A43, 4401-4405 (1991)
Nonequilibrium Processes in Polymers Undergoing Interchange Reactions. 2. Reaction-Diffusion Processes: by J. A. Pojman, A. Garcia, D. Kondepudi and C. Van den Broeck; J. Phys. Chem. 95, 5655-5660 (1991)
Entropy and Learning: by C. Van den Broeck; Proceedings of the Nato Advanced Research Workshop "Self-Organization, Emerging Properties, and Learning", p. 231-240 (1991); Editor(s): A. Babloyantz; Publisher: Plenum, New York
Field Flow Fractionation in a Cylindrical Tube: by D. Maes and C. Van den Broeck; Sep. Sci. 26, 1341-1352 (1991)
Generalization in Feedforward Neural and Boolean Networks: by C. Van den Broeck and R. Kawai; Proceedings International AMSE Conference "Neural Networks: Methodologies and Applications", p.151-162 (1991); Editor(s): G. Mesnard and R. Swiniarski; Publisher: AMSE Press, Tassin-la-demi-lune
Stochastic Resonance for Dispersion in Oscillatory Flows: by I. Claes and C. Van den Broeck; Phys. Rev. A44, 4970-4977 (1991)
Reaction, Trapping and Multifractality in One-Dimensional Systems: by C. Van den Broeck; J. Stat. Phys. 65, 971-989 (1991)
Sinai Disorder: Intermittency for Random Maps: by C. Van den Broeck and T. Tel; published in: "From Phase Transitions to Chaos: Modern Topics in Statistical Physics", p. 227-236 (1992); Editor(s): G. Gyorgyi, I. Kondor, L. Sasvari and T. Tel; Publisher: World Scientific, Singapore
Sinai Disorder: Intermittency for Random Maps: by C. Van den Broeck; Physica A188, 452-455 (1992)
Dispersion of Particles in Periodic Media: by I. Claes and C. Van den Broeck; J. Stat. Phys. 70, 1215-1231 (1993)
Vapnik Chervonenkis Bounds for Generalization: by J. M. Parrondo and C. Van den Broeck; J. Phys. A26, 2211-2223 (1993)
Clipped Hebbian Training of the Perceptron: by C. Van den Broeck and M. Bouten; Europhys. Lett. 22, 223-229 (1993)
Error vs Rejection Curve for the Perceptron: by J. M. Parrondo and C. Van den Broeck; Europhys. Lett. 22, 319-324 (1993)
A Simple Stochastic Model for Resonant Activation: by C. Van den Broeck; Phys. Rev. E47, 4579-4580 (1993)
Systems that Can Learn from Examples : Replica Calculation of Uniform Convergence Bounds for the Perceptron: by A. Engel and C. Van den Broeck; Phys. Rev. Lett. 71, 1772-1775 (1993)
A Stochastic Approach Towards the Study of the One-Dimensional Landau Ginzburg Potential: by C. Van den Broeck and M. Malek Mansour; in: "Instabilities and Nonequilibrium Structures IV", p. 149-159 (1993); Editor(s): E. Tirapegui and W. Zeller; Publisher: Kluwer Academic Publishers
Generalization Error in a Selfsimilar Committee Machine: by C. Van den Broeck and J. M. Parrondo; Phys. Rev. Lett. 71, 2355-2358 (1993)
Replica Calculation of the Vapnik-Chervonenkis Bound for the Perceptron: by A. Engel and C. Van den Broeck; Physica A200, 636-643 (1993)
Noise-induced Sensitivity to Initial Conditions in Stochastic Dynamical Systems: by C. Van den Broeck and G. Nicolis; Phys. Rev. E 48, 4845-4846 (1993)
Mean Field Model for Spatially Extended Systems in the Presence of Multiplicative Noise: by C. Van den Broeck, J.M.R. Parrondo, J. Armero and A. H. Machado; Phys. Rev. E49, 2639-2643 (1994)
Statistical Physics of Learning from Examples: a Brief Introduction: by C. Van den Broeck; Acta Phys. Pol. D25, 903-9023 (1994)
Nearest Neighbour Classifier for the Perceptron: by M. Bouten and C. Van den Broeck; Europhys. Lett.. 26, 69-74 (1994)
Intermittent Diffusion in the Presence of Noise: by P. Reimann and C. Van den Broeck; Physica D75, 509-520 (1994)
Noise Induced Nonequilibrium Phase Transition: by C. Van den Broeck, J.M.R. Parrondo and R. Torral; Phys. Rev. Lett. 73, 3395-3398 (1994)
First Passage Time Renormalization and Escape from an Imperfect Trap: by C. Van den Broeck and J.M.R. Parrondo; in "New Trends in Kramers' Reaction Rate Theory", p. 177-188 (1994); Editor(s): P. Talkner and P. Hanggi; Publisher: Kluwer Academic Publishers
Analyzing Cluster Formation by Replica Method: by E. Lootens and C. Van den Broeck; Europhys. Lett. 30, 381-386 (1995)
Storage Capacity and Generalization Error for the Reversed Wedge Ising Perceptron: by G. J. Bex, R. Serneels and C. Van den Broeck; Phys. Rev. E51, 6309-6312 (1995)
Transport Properties on a Random Comb: by V. Balakrishnan and C. Van den Broeck; Physica. A217, 1-21 (1995)
Gradient Descent Learning in Perceptrons: a Review of its Possibilities: by M. Bouten, J. Schietse and C. Van den Broeck; Phys. Rev. E52, 1958-1967 (1995)
Training Binary Perceptron by Clipping: by J. Schietse, M. Bouten and C. Van den Broeck; Europhys. Lett. 32, 279-284 (1995)
A Non-Equilibrium Phase Transition Induced by Multiplicative Noise: by C. Van den Broeck, J.M.R. Parrondo and R. Torral; in "25 Years of Non-Equilibrium Statistical Mechanics", p. 322-326 (1995); Editor(s): J.J. Brey, J. Marro, J.M. Rubi. and M. San Miguel; Publisher: Springer
Van den Broeck, Parrondo and Torral Reply: by C. Van den Broeck, J.M.R. Parrondo and R. Torral; Phys. Rev. Lett. 75, 4787 (1995)
Learning by Examples from a Non-Uniform Distribution: by P. Reimann and C. Van den Broeck; Phys. Rev. E 53, 3989-3998 (1996)
Noise Induced Phase Transitions: by J. M. R. Parrondo and C. Van den Broeck; "Instabilities and Nonequilibrium Structures"; Editor(s): E. Tirapegui and W. Zeller
Noise-Induced Spatial Patterns: by J. M. R. Parrondo, C. Van den Broeck, J. Buceta and J. de la Rubia; Physica A 224, 153-161 (1996)
Unsupervised Learning from Examples: On-Line versus Off-Line: by C. Van den Broeck and P. Reimann; Phys. Rev. Lett. 76, 2188-2191 (1996)
A Gaussian Scenario for Unsupervised Learning: by P. Reimann, C. Van den Broeck and G.J. Bex; J. Phys. A 29, 3521-3535 (1996)

Submitted for publication

Reentrant Noise-Induced Transition in the Landau-Ginzburg Model: by J. Ojalvo, J. M. R. Parrondo, J. M. Sancho and C. Van den Broeck; submitted to Phys. Rev. E, (1996)
Nonequilibrium Phase Transitions Induced by Multiplicative Noise: by C. Van den Broeck, J.M.R. Parrondo, R. Torral and R. Kawai; submitted to Phys. Rev. E, (1996)
Phase Transitions and Learning in Neural Networks: by C. Van den Broeck and G.J. Bex; "Nonlinear Dynamics, Chaotic and Complex Systems"; Eds. E. Infeld, R. Zelazny and A. Galkowski; Cambridge University Press 1996), p. 119-129.
Clustering Algorithms and the Glassy Structure of Randomness: by E. Lootens and C. Van den Broeck; "Complex Behavior of Glassy Systems"; Eds. J.M. Rubi (Springer-Verlag)
From Stratonovich calculus to Noise-Induced Phase Transitions: by C. Van den Broeck; Lectures Notes on Physics. (Springer-Verlag)
Domain Sizes of the Gardner Volume of the Ising Reversed Wedge Perceptron: by G.J. Bex and C. Van den Broeck