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Thomas Gilbert | 
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| Physics of Complex Systems and Statistical Mechanics | |||
| Home | Research | Teaching | Publications | Curriculum Vitae | Address | |||
| 1998 |
S. Tasaki, T. Gilbert and J. R. Dorfman
An Analytical Construction of the SRB Measures for Baker-type Maps CHAOS 8 424 (1998) Download: paper |
| 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) Download: paper |
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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) Download: paper |
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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) Download: paper |
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T. Gilbert and J. R. Dorfman
Entropy Production in a Persistent Random Walk Physica A 282 427-449 (2000) Download: paper |
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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) Download: paper |
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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) Download: paper Selected among the 2001 Highlights of Nonlinearity (free access) |
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P. Gaspard, I. Claus, T. Gilbert and J. R. Dorfman
The fractality of the hydrodynamic modes of diffusion Physical Review Letters 86 1506 (2001) Download: paper |
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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) Download: paper |
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F. Barra and T. Gilbert
Algebraic Decay in Hierarchical Graphs Journal of Statistical Physics 109, 777 (2002) Download: paper |
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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) Download: paper |
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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) Download: paper |
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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) Download: paper |
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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) Download: paper |
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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) Download: paper |
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T. Gilbert and D. Mitra
Statistics of active versus passive advections in magnetohydrodynamic turbulence Physical Review E 69 057301 (2004) Download: paper |
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T. Gilbert
Slow modes in passive scalar turbulent advection Physical Review E 70 015301(R) (2004) Download: paper |
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T. Gilbert
Entropy fluctuations in shell models of turbulence Europhysics Letters 67 172 (2004) Download: paper |
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| 2006 |
T. Gilbert
Fluctuation theorem applied to the Nosé-Hoover thermostated Lorentz gas Physical Review E 73 035102 (2006) Download: paper |
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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) Download: paper |
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J. R. Dorfman and T. Gilbert
Fluctuation theorem for constrained equilibrium systems Physical Review E 73 026121 (2006) Download: paper |
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| 2007 |
F. Barra and T. Gilbert
Non-equilibrium Lorentz gas on a curved space Journal of Statistical Mechanics L01003 (2007) Download: paper |
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F. Barra and T. Gilbert
Steady-State Conduction in Self-Similar Billiards Physical Review Letters 98 130601 (2007) Download: paper |
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F. Barra, N. Chernov, and T. Gilbert
Log-periodic drift oscillations in self-similar billiards Nonlinearity 20 2539 (2007) Download: paper |
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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) Download: paper |
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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) Download: paper Selected among New Journal of Physics Best of 2008 (free access) |
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T. Gilbert and R. Lefevere
Heat Conductivity from Molecular Chaos Hypothesis in Locally Confined Billiard Systems Physical Review Letters 101 200601 (2008) Download: paper |
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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) Download: paper |
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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) Download: paper |
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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) Download: paper |
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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) Download: paper |
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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) Download: paper |
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T. Gilbert and D. P. Sanders
Persistence effects in deterministic diffusion Physical Review E 80, 041121 (2009) Download: paper |
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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) Download: paper |
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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) Download: paper |
| 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) Download: paper |
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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) Download: paper See also IOPSelect insights Walking with memory in higher dimensions |
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T. Gilbert
On the waiting time distributions of systems of locally confined particles with rare interactions Journal of Statistical Mechanics P06015 (2011) Download: paper |
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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) Download: paper |
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| Link | Most papers and preprints also available from http://arxiv.org/ |