Dr. Bjoern Bringmann (Princeton University): Invariant Gibbs measures for (1+1)-dimensional wave maps into Lie groups. Kolloquium Partial Differential Equations
Tuesday, 06.06.2023 14:15 im Raum SRZ 203
We consider the wave maps equation for maps from (1+1)-dimensional Minkowski space into a compact Lie group G. The Gibbs measure of this model corresponds to a Brownian motion on the Lie group G, which is a natural object from stochastic differential geometry. Our main result is the invariance of the Gibbs measure under the wave maps equation. The proof combines techniques from differential geometry, partial differential equations, and probability theory.