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math.AP2023
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…
math.AP2023★ 2 cited
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…