Thomas Gilbert email: thomas_dot_gilbert_at_ulb_dot_ac_dot_be
Physics of Complex Systems and Statistical Mechanics
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1998 S. Tasaki, T. Gilbert and J. R. Dorfman
An Analytical Construction of the SRB Measures for Baker-type Maps
CHAOS 8 424 (1998)
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1999 T. Gilbert, C. D. Ferguson and J. R. Dorfman
Field Driven Thermostated System: A Non-Linear Multi-Baker Map
Physical Review E 59 364 (1999)
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T. Gilbert and J. R. Dorfman
Entropy Production : From Open Volume Preserving to Dissipative Systems
Journal of Statistical Physics 96 225 (1999)
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2000 T. Gilbert and R. G. Gammon
Stable Oscillations and Devil's Staircase in the van der Pol Oscillator
International Journal of Bifurcation and Chaos 10 1 (2000)
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T. Gilbert and J. R. Dorfman
Entropy Production in a Persistent Random Walk
Physica A 282 427-449 (2000)
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T. Gilbert, J. R. Dorfman and P. Gaspard
Entropy Production, Fractals, and Relaxation to Equilibrium
Physical Review Letters 85 1606 (2000)
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2001 T. Gilbert, J. R. Dorfman and P. Gaspard
Fractal dimensions of the hydrodynamic modes of diffusion
Nonlinearity 14 339--358 (2001)
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Selected among the 2001 Highlights of Nonlinearity (free access)
P. Gaspard, I. Claus, T. Gilbert and J. R. Dorfman
The fractality of the hydrodynamic modes of diffusion
Physical Review Letters 86 1506 (2001)
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2002 Y. Cohen, T. Gilbert and I. Procaccia
Statistically Preserved Structures in Shell Models of Passive Scalar Advection
Physical Review E 65 026314 (2002)
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F. Barra and T. Gilbert
Algebraic Decay in Hierarchical Graphs
Journal of Statistical Physics 109, 777 (2002)
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J. R. Dorfman, P. Gaspard and T. Gilbert
Entropy production of diffusion in spatially periodic deterministic systems
Physical Review E 66 026110 (2002)
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T. Gilbert, V. L'vov, A. Pomyalov and I. Procaccia
Inverse Cascade Regime in Shell Models of Two-Dimensional Turbulence
Physical Review Letters 89 074501 (2002)
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E. S. C. Ching, Y. Cohen, T. Gilbert and I. Procaccia
Statistically Preserved Structures and Anomalous Scaling in Turbulent Active Scalar Advection
Europhysics Letters 60 369 (2002)
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E. S. C. Ching, Y. Cohen, T. Gilbert and I. Procaccia
Active and passive fields in turbulent transport: the role of statistically preserved structures
Physical Review E 67 016304 (2002)
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2004 T. Gilbert and J. R. Dorfman
On the Parametric Dependences of a Class of Non-Linear Singular Maps
Discrete and Continuous Dynamical Systems Series B 4 391 (2004)
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T. Gilbert and D. Mitra
Statistics of active versus passive advections in magnetohydrodynamic turbulence
Physical Review E 69 057301 (2004)
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T. Gilbert
Slow modes in passive scalar turbulent advection
Physical Review E 70 015301(R) (2004)
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T. Gilbert
Entropy fluctuations in shell models of turbulence
Europhysics Letters 67 172 (2004)
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2006 T. Gilbert
Fluctuation theorem applied to the Nosť-Hoover thermostated Lorentz gas
Physical Review E 73 035102 (2006)
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F. Barra, T. Gilbert and M. Romo
Drift of particles in self-similar systems and its Liouvillian interpretation
Physical Review E 73 026211 (2006)
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J. R. Dorfman and T. Gilbert
Fluctuation theorem for constrained equilibrium systems
Physical Review E 73 026121 (2006)
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2007 F. Barra and T. Gilbert
Non-equilibrium Lorentz gas on a curved space
Journal of Statistical Mechanics L01003 (2007)
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F. Barra and T. Gilbert
Steady-State Conduction in Self-Similar Billiards
Physical Review Letters 98 130601 (2007)
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F. Barra, N. Chernov, and T. Gilbert
Log-periodic drift oscillations in self-similar billiards
Nonlinearity 20 2539 (2007)
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2008 P. Gaspard and T. Gilbert
Heat conduction and Fourier's law by consecutive local mixing and thermalization
Physical Review Letters 101 020601 (2008)
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P. Gaspard and T. Gilbert
Heat conduction and Fourier's law in a class of many particle dispersing billiards
New Journal of Physics 10 103004 (2008)
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Selected among New Journal of Physics Best of 2008 (free access)
T. Gilbert and R. Lefevere
Heat Conductivity from Molecular Chaos Hypothesis in Locally Confined Billiard Systems
Physical Review Letters 101 200601 (2008)
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P. Gaspard and T. Gilbert
On the derivation of Fourier's law in stochastic energy exchange systems
Journal of Statistical Mechanics P11021 (2008)
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2009 V. Basios, G. L. Forti and T. Gilbert
Statistical properties of time-reversible triangular maps of the square
Journal of Physics A: Math. Theor. 42 035102 (2009)
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P. Gaspard and T. Gilbert
Heat transport in stochastic energy exchange models of locally confined hard spheres
Journal of Statistical Mechanics P08020 (2009)
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F. Barra, P. Gaspard and T. Gilbert
Fractality of the nonequilibrium stationary states of open volume-preserving systems. I. Tagged particle diffusion
Physical Review E 80, 021126 (2009)
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F. Barra, P. Gaspard and T. Gilbert
Fractality of the nonequilibrium stationary states of open volume-preserving systems. II. Galton boards
Physical Review E 80, 021127 (2009)
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T. Gilbert and D. P. Sanders
Persistence effects in deterministic diffusion
Physical Review E 80, 041121 (2009)
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F. Barra, T. Gilbert and S. Reyes
Conductivity of the self-similar Lorentz channel
International Journal of Bifurcation and Chaos 19, 2687 (2009)
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2010 T. Gilbert and D. P. Sanders
Diffusion coefficients for multi-step persistent random walks on lattices
Journal of Physics A: Math. Theor. 43, 035001 (2010)
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2011 T. Gilbert and D. P. Sanders
Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape
New Journal of Physics 13 023040 (2011)
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T. Gilbert, H. C. Nguyen and D. P. Sanders
Diffusive properties of persistent walks on cubic lattices with application to periodic Lorentz gases
Journal of Physics A: Mathematical and Theoretical 44 065001 (2011)
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See also IOPSelect insights Walking with memory in higher dimensions
T. Gilbert
On the waiting time distributions of systems of locally confined particles with rare interactions
Journal of Statistical Mechanics P06015 (2011)
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J. R. Dorfman and T. Gilbert
Statistical properties of r-adic processes and their connections to families of popular fractal curves
Bussei Kenkyu 97 (3) 357 (2011)
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Link Most papers and preprints also available from http://arxiv.org/