Mathematics – Probability
Scientific paper
2008-09-12
Mathematics
Probability
55 pages
Scientific paper
We use the whole-plane Loewner equation to define a family of continuous LERW
in finitely connected domains that are started from interior points. These
continuous LERW satisfy conformal invariance, preserve some continuous local
martingales, and are the scaling limits of the corresponding discrete LERW on
the discrete approximation of the domains.
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