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Non-Equilibrium Statistical Mechanics Systèmes Mécaniques Couplés à des Bains Thermiques de Températures DifférentesDiploma Thesis, Univ. of Geneva (1998) Under the direction of J.-P. Eckmann PDF File 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 PDF File Spectral Properties of Hypoelliptic Operators Written in collaboration with J.-P. Eckmann. Commun. Math. Phys. 235 (2003), no 2, pp. 233-253 Published version PDF File Slow Energy Dissipation in Chains of Anharmonic Oscillators Written in collaboration with J. Mattingly. Commun. Pure Appl. Math. 62 (2009), no 8, pp. 999-1032 Published version PDF File How hot can a heat bath get? Commun. Math. Phys. 292 (2009), no 1, pp. 131-177 Published version PDF File A simple framework to justify linear response theory Written in collaboration with A. J. Majda. Nonlinearity 23 (2010), no 4, pp. 909-922 Published version PDF File A chain of interacting particles under strain Written in collaboration with M. Allman and V. Betz. Stoch. Proc. Appl. 121 (2011), no 9, pp. 2014-2042 Published version PDF File Markov processes Yet another look at Harris' ergodic theorem for Markov chainsWritten in collaboration with J. Mattingly. Seminar on Stochastic Analysis, Random Fields and Applications VI, Progr. Probab. 63 (2011), pp. 109–117 PDF File Stationary distributions for diffusions with inert drift Written in collaboration with R. Bass, K. Burdzy, and Z.-Q. Chen. Prob. Theory Rel. Fields 146 (2010), no 1, pp. 1-47 Published version PDF File Non-asymptotic mixing of the MALA algorithm Written in collaboration with N. Bou-Rabee. IMA Jour. Num. Anal. 33 (2013), pp. 80-110 Published version PDF File On Malliavin's proof of Hörmander's theorem Bull. Sci. Math. 135 (2011), no 6-7, pp. 650-666 Published version PDF File Spectral Gaps for a Metropolis-Hastings Algorithm in Infinite Dimensions Written in collaboration with A. Stuart and S. Vollmer. Preprint, 2010 (to appear in Ann. Appl. Probab.) PDF File Improved Diffusion Monte Carlo Written in collaboration with J. Weare. Preprint, 2012 (to appear in Commun. Pure Appl. Math.) PDF File The Brownian Fan Written in collaboration with J. Weare. Preprint, 2012 (to appear in Commun. Pure Appl. Math.) PDF File Exponential ergodicity for Markov processes with random switching Written in collaboration with B. Cloez. Preprint, 2013 (to appear in Bernoulli) PDF File Non-Markovian Processes Ergodicity of stochastic differential equations driven by fractional Brownian motionAnn. Probab. 33 (2005), no 3, pp. 703-758 Published version PDF File Ergodic theory for SDEs with extrinsic memory Written in collaboration with A. Ohashi Ann. Probab. 35 (2007), no 5, pp. 1950-1977 Published version PDF File 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 PDF File Ergodic properties of a class of non-Markovian processes in Trends in Stochastic Analysis, LMS Lecture Notes Series 353, pp. 65-98 PDF File Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations Written in collaboration with J. Mattingly and M. Scheutzow. Prob. Theory Rel. Fields 149 (2011), no 1, p. 223 Published version PDF File Ergodicity of hypoelliptic SDEs driven by fractional Brownian motion Written in collaboration with N. S. Pillai. Annals of IHP 47 (2011), no 2, pp. 601-628 Published version PDF File Regularity of Laws and Ergodicity of Hypoelliptic SDEs Driven by Rough Paths Written in collaboration with N. S. Pillai. Ann. Probab. 41 (2013), no 4, pp. 2544-2598 Published version PDF File Smoothness of the density for solutions to Gaussian rough differential equations Written in collaboration with T. Cass, C. Litterer and S. Tindel. Ann. Probab. 43 (2015), no 1, pp. 188-239 Published version PDF File Stochastic Differential Equations Periodic Homogenization for Hypoelliptic DiffusionsWritten in collaboration with G. Pavliotis J. Stat. Phys. 117 (2004), no 1, pp. 261-279 Published version PDF File On the Controllability of Conservative Systems Unpublished Note, 2005 PDF File Homogenization of periodic linear degenerate PDEs Written in collaboration with E. Pardoux J. Funct. Anal. 255 (2008), no 9, pp. 2462--2487 Published version PDF File From ballistic to diffusive behavior in periodic potentials Written in collaboration with G. Pavliotis J. Stat. Phys. 131 (2008), no 1, pp. 175-202 Published version PDF File Ornstein-Uhlenbeck Processes on Lie Groups Written in collaboration with J. Teichmann and F. Baudoin J. Funct. Anal. 255 (2008), no 4, pp. 877-890 Published version PDF File Periodic homogenization with an interface: the one-dimensional case Written in collaboration with C. Manson Stoch. Proc. Appl. 120 (2010), no 8, pp. 1589-1605 Published version PDF File Periodic homogenization with an interface: the multi-dimensional case Written in collaboration with C. Manson Ann. Probab. 39 (2011), no 2, pp. 648-682 Published version PDF File Periodic homogenization with an interface Written in collaboration with C. Manson Proceedings of ISAAC 09 (2009) PDF File Loss of regularity for Kolmogorov equations Written in collaboration with M. Hutzenthaler and A. Jentzen. Preprint (2012) PDF File Geometric versus non-geometric rough paths Written in collaboration with D. Kelly. Preprint (2013) PDF File 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 PostScript File Short notes Ergodic theory for infinite-dimensional stochastic processes.To be published in Oberwolfach Reports, 2008. PDF File |