211 citations · 318 across the 16 of their papers we have counts for
4 papers · 1 filter
Slow energy dissipation in anharmonic oscillator chains
Martin Hairer, Jonathan C. Mattingly
We study the dynamic behavior at high energies of a chain of anharmonic oscillators coupled at its ends to heat baths at possibly different temperatures. In our setup, each oscilla…
Ornstein-Uhlenbeck Processes on Lie Groups
Fabrice Baudoin, Martin Hairer, Josef Teichmann
We consider Ornstein-Uhlenbeck processes (OU-processes) associated to hypoelliptic diffusion processes on finite-dimensional Lie groups: let be a hypoelliptic, left…
Ergodic properties of a class of non-Markovian processes
M. Hairer
We study a fairly general class of time-homogeneous stochastic evolutions driven by noises that are not white in time. As a consequence, the resulting processes do not have the Mar…
From ballistic to diffusive behavior in periodic potentials
Martin Hairer, Grigorios Pavliotis
The long-time/large-scale, small-friction asymptotic for the one dimensional Langevin equation with a periodic potential is studied in this paper. It is shown that the Freidlin-Wen…