English

The motion of a random string

Probability 2016-06-22 v2 Mathematical Physics math.MP

Abstract

We review a series of forthcoming results leading to the construction of a natural evolution on the space of loops with values in a Riemannian manifold. In particular, this clarifies the algebraic structure of the renormalisation procedures appearing in the context of the theory of regularity structures.

Keywords

Cite

@article{arxiv.1605.02192,
  title  = {The motion of a random string},
  author = {Martin Hairer},
  journal= {arXiv preprint arXiv:1605.02192},
  year   = {2016}
}

Comments

Fixed a few typos

R2 v1 2026-06-22T13:55:28.645Z