5 papers · 1 filter
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…
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…
Well-posedness of a gauge-covariant wave equation with space-time white noise forcing
Bjoern Bringmann, Igor Rodnianski
We first introduce a new model for a two-dimensional gauge-covariant wave equation with space-time white noise. In our main theorem, we obtain the probabilistic global well-posedne…
Global well-posedness of the stochastic Abelian-Higgs equations in two dimensions
Bjoern Bringmann, Sky Cao
We prove the global well-posedness of the stochastic Abelian-Higgs equations in two dimensions. The proof is based on a new covariant approach, which consists of two parts: First,…