Two-curve Green's function for $2$-SLE: the interior case
| Autor: | Zhan, Dapeng |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A $2$-SLE$_\kappa$ ($\kappa\in(0,8)$) is a pair of random curves $(\eta_1,\eta_2)$ in a simply connected domain $D$ connecting two pairs of boundary points such that conditioning on any curve, the other is a chordal SLE$_\kappa$ curve in a complement domain. In this paper we prove that for any $z_0\in D$, the limit $\lim_{r\to 0^+}r^{-\alpha_0} \mathbb{P}[\mbox{dist}(z_0,\eta_j) |
| Databáze: | arXiv |
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