4 papers
Invariant Gibbs measures for -dimensional wave maps into Lie groups
Bjoern Bringmann
We discuss the -dimensional wave maps equation with values in a compact Lie group. The corresponding Gibbs measure is given by a Brownian motion on the Lie group, which play…
Global well-posedness of the dynamical sine-Gordon model up to
Bjoern Bringmann, Sky Cao
We prove the global well-posedness of the dynamical sine-Gordon model up to the third threshold, i.e., for parameters $β^2 < 6Ï$. The key novelty in our approach is the introduct…
A para-controlled approach to the stochastic Yang-Mills equation in two dimensions
Bjoern Bringmann, Sky Cao
We consider the stochastic Yang-Mills heat equation on the two-dimensional torus. Using regularity structures, Chandra, Chevyrev, Hairer, and Shen previously proved both the local…
Invariant Gibbs measures for the one-dimensional quintic nonlinear Schrödinger equation in infinite volume
Bjoern Bringmann, Gigliola Staffilani
We prove the invariance of the Gibbs measure for the defocusing quintic nonlinear Schrödinger equation on the real line. This builds on earlier work by Bourgain, who treated the c…