100 citations · 967 across the 43 of their papers we have counts for
43 papers
Diffusion stabilises time-periodic solutions in conservation laws coupled to a relaxation oscillator
Julien Barré, Nils Berglund, Hiroshi Horii
We study a viscous one-dimensional conservation law, coupled to a fast ordinary differential equation. For a vanishing viscosity, the system has an infinite-dimensional family of t…
Reducing metastable continuous-space Markov chains to Markov chains on a finite set
Nils Berglund
We consider continuous-space, discrete-time Markov chains on , that admit a finite number of metastable states. Our main motivation for investigating these proces…
Concentration estimates for slowly time-dependent singular SPDEs on the two-dimensional torus
Nils Berglund, Rita Nader
We consider slowly time-dependent singular stochastic partial differential equations on the two-dimensional torus, driven by weak space-time white noise, and renormalised in the Wi…
Perturbation theory for the measure, revisited with Hopf algebras
Nils Berglund, Tom Klose
We give a relatively short, almost self-contained proof of the fact that the partition function of the suitably renormalised measure admits an asymptotic expansion, the coe…
Stochastic resonance in stochastic PDEs
Nils Berglund, Rita Nader
We consider stochastic partial differential equations (SPDEs) on the one-dimensional torus, driven by space-time white noise, and with a time-periodic drift term, which vanishes on…
Long-time dynamics of stochastic differential equations
Nils Berglund
These lecture notes have been prepared for a series of lectures given at the Summer School "From kinetic equations to statistical mechanics", (see https://www.lebesgue.fr/content/s…