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arXiv 1906.06005math.PR
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多力点SLE $_κ(\underlineρ)$的时间反演

Time-reversal of multiple-force-point SLE$_κ(\underlineρ)$ with all force points lying on the same side

Dapeng Zhan

摘要:

利用Appell-Lauricella多重超几何函数定义了中间$_κ(\underlineρ)$过程和反向中间$_κ(\underlineρ)$过程,并利用它们描述了多力点弦$_κ(\underlineρ)$曲线的时间反演,当所有力点都在边界上且位于初始点的同一侧,且$κ$和$\underlineρ=(ρ_1,\dots,ρ_m)$满足对所有$1\le k\le m$都满足$κ\in(0,4]$和$\sum_{j=1}^k ρ_j>-2$,或所有$1\le k\le m$的$κ\in(4,8)$和$\sum_{j=1}^k ρ_j\ge \fracκ{2}-2$。

英文摘要:

We define intermediate SLE$_κ(\underlineρ)$ and reversed intermediate SLE$_κ(\underlineρ)$ processes using Appell-Lauricella multiple hypergeometric functions, and use them to describe the time-reversal of multiple-force-point chordal SLE$_κ(\underlineρ)$ curves in the case that all force points are on the boundary and lie on the same side of the initial point, and $κ$ and $\underlineρ=(ρ_1,\dots,ρ_m)$ satisfy that either $κ\in(0,4]$ and $\sum_{j=1}^k ρ_j>-2$ for all $1\le k\le m$, or $κ\in(4,8)$ and $\sum_{j=1}^k ρ_j\ge \fracκ{2}-2$ for all $1\le k\le m$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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