1 citations · 1 across the 9 of their papers we have counts for
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 infinite volume at high temperature
Paweł 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…
A simple construction of the sine-Gordon model via stochastic quantization
Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh +1
We present a simple PDE construction of the sine-Gordon measure below the first threshold ($\be^2 < 4π$), in both the finite and infinite volume settings, by studying the correspon…
Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations
Martin Hairer, Sam Punshon-Smith, Tommaso Rosati +1
We consider the top Lyapunov exponent associated to the advection-diffusion and linearised Navier-Stokes equations on the two-dimensional torus. The velocity field is given by the…
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…
Periodic space-time homogenisation of the equation
Martin Hairer, Harprit Singh
We consider the homogenisation problem for the equation on the torus , namely the behaviour as of the solutions to the equation suggestive…