Wednesday, August 2, 2017 - 14:15 in V3-201
The one dimensional sigma-model valued in compact Lie groups
A talk in the Bielefeld Stochastic Afternoon series by
Joscha Diehl from Max-Planck Institute
| Abstract: |
In a recent work Hairer describes the natural evolution of a random
string in a manifold.
Owing to his consideration in local coordinates, only a finite time
solution is obtained.
Moreover, magical cancellations between the normalization constants appear.
We consider the target manifold being a Lie group, which allows to
switch to the Lie algebra.
We hope that these global coordinates allow to study long-time
behavior as well as a better understanding of cancellations.
I will report on preliminary results in this joint work with Yvain
Bruned and Antoine Dahlqvist.
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