Other Publications

This list has been taken from the page “Other” at https://www.hairer.org/ which remains the reference link.

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 – 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 chains
  Written 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 motion
  Ann. 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 Diffusions
  Written 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