93 citations · 127 across the 4 of their papers we have counts for
4 papers
Diffusion for a quantum particle coupled to phonons in
W. De Roeck, A. Kupiainen
We prove diffusion for a quantum particle coupled to a field of bosons (phonons or photons). The importance of this result lies in the fact that our model is fully Hamiltonian and…
High Temperature Expansions and Dynamical Systems
J. Bricmont, A. Kupiainen
We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish u…
Renormalizing Partial Differential Equations
J. Bricmont, A. Kupiainen
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate…
Stable Non-Gaussian Diffusive Profiles
J. Bricmont, A. Kupiainen
We prove two stability results for the scale invariant solutions of the nonlinear heat equation with , being the spatial dimens…