2 papers
math.PR2025
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,…
math.PR2024
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…