9 papers
Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing
Martin Hairer, Declan Stacy
In this paper we analyze the Lyapunov exponents of a slow-fast system where the slow component is an Ornstein-Uhlenbeck process which perturbs the linear evolution of a fast variab…
Homogenisation of singular SPDEs
Martin Hairer, Harprit Singh
We introduce an approach to study homogenisation of a large class of singular SPDEs of the form $$ \partial_t u_\varepsilon - \nabla\cdot {A}(x/\varepsilon,t/\varepsilon^2) \nabla…
Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations
James Coe, Martin Hairer, Leonardo Tolomeo
We study the qualitative properties of solutions to the 2D stochastic Navier-Stokes equations with forcing that is white in time and coloured in space. Our main result shows that t…
Ergodicity of 2D singular stochastic Navier-Stokes equations
Martin Hairer, Wenhao Zhao
We consider the 2D stochastic Navier-Stokes equations driven by noise that has the regularity of space-time white noise but doesn't exactly coincide with it. We show that, provided…
Ergodicity of infinite volume at high temperature
PaweÅ Duch, Martin Hairer, Jaeyun Yi +1
We consider the infinite volume dynamic and show that it is globally well-posed in a suitable weighted Besov space of distributions. At high temperatures / small coupling,…
A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise
Michele Coti Zelati, Martin Hairer, David Villringer
We prove a stochastic version of the classical RAGE theorem that applies to the two-point motion generated by noisy transport equations. As a consequence, we identify a necessary a…