Abstract

We consider the exact singular solution of chordal Loewner equation and investigate a sequence of vertical slits $$\gamma ^p$$ , where $$p=4n+1$$ , $$n\in \mathbb {N}$$ . Our main result is to give an exact expression of the driving function $$\lambda $$ , and its Holder exponent near 0 in terms of p, which lies in (1/2, 1] and has a natural connection with the known results.

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