Invariant Gibbs measures for (1 + 1)-dimensional wave maps into Lie groups


Event details

Date 01.03.2024
Hour 14:15
Speaker Dr Bjoern Bringmann (IAS & Princeton University)
Category Conferences - Seminars
Event Language English

We consider the wave maps equation for maps from (1+1)-dimensional Minkowski space into a compact Lie group. The Gibbs measure of this model corresponds to a Brownian motion on the Lie group, which is a natural object from stochastic differential geometry. Our main result is the invariance of the Gibbs measure under the wave maps equation and is the first result of this kind for any geometric wave equation. The proof combines techniques from differential geometry, partial differential equations, and probability theory.

Practical information

  • Informed public
  • Free
  • This event is internal


  • Prof. Georgios Moschidis


  • Rosana Blanchard

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