Convergence of radial loop-erased random walk in the natural parametrization
Abstract
In recent work we have shown that loop-erased random walk (LERW) connecting two boundary points of a domain converges to the chordal Schramm-Loewner evolution (SLE(2)) in the sense of curves parametrized by Minkowski content. In this note we explain how to derive the analogous result for LERW from a boundary point to an interior point, converging towards radial SLE(2).
- Publication:
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arXiv e-prints
- Pub Date:
- March 2017
- DOI:
- 10.48550/arXiv.1703.03729
- arXiv:
- arXiv:1703.03729
- Bibcode:
- 2017arXiv170303729L
- Keywords:
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- Mathematics - Probability
- E-Print:
- 23 pages, no figures