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