Non-Equilibrium Statistical Mechanics
Systèmes Mécaniques
Couplés à des Bains Thermiques de Températures Différentes
Diploma Thesis, Univ. of Geneva (1998) Under the direction of J.-P. Eckmann
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Non-Equilibrium Statistical Mechanics of Strongly Anharmonic
Chains of Oscillators
Written in collaboration with
J.-P. Eckmann.
Commun. Math. Phys. 212 (2000), no 1, pp. 105-164 Published version on LINK
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Spectral Properties of Hypoelliptic Operators
Written in collaboration with
J.-P. Eckmann.
Commun. Math. Phys.
235 (2003), no 2, pp. 233-253 Published version on LINK
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Slow Energy Dissipation in Chains of Anharmonic Oscillators
Written in collaboration with
J. Mattingly.
Preprint, 2007
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Stochastic Differential Equations
Ergodicity of stochastic differential equations driven by
fractional Brownian motion
Ann. Probab. 33 (2005), no 3, pp. 703-758
Published version
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Periodic Homogenization for Hypoelliptic Diffusions
Written in collaboration with G. Pavliotis
J. Stat. Phys. 117 (2004), no 1, pp. 261-279
Published version
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On the Controllability of Conservative Systems
Unpublished Notes, 2005
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Ergodic theory for SDEs with extrinsic memory
Written in collaboration with A. Ohashi
Ann. Probab. 35 (2007), no 5, pp. 1950-1977
Published version
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A version of Hörmander's theorem for the fractional Brownian motion
Written in collaboration with F. Baudoin
Prob. Theory Rel. Fields 139 (2007), no 3-4, pp. 373-395
Published version
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Homogenization of periodic linear degenerate PDEs
Written in collaboration with E. Pardoux
Preprint, 2007
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Ergodic properties of a class of non-Markovian processes
Preprint, 2007
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From ballistic to diffusive behavior in periodic potentials
Written in collaboration with G. Pavliotis
J. Stat. Phys. ?? (2008), no ??, pp. ??
Published version
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Ornstein-Uhlenbeck Processes on Lie Groups
Written in collaboration with J. Teichmann
and F. Baudoin
Preprint, 2007
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Implementation of Numerical Algorithms
GniCodes - Matlab programs for geometric numerical integration.
Written in collaboration with
E. Hairer.
Frontiers in Numerical Analysis (Durham 2002), 199--240, Springer, Berlin, 2003.
The Matlab codes can be downloaded by clicking on this link
The Fortran codes can be downloaded by clicking on this link
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