基于集结和SLE $_κ$理论的准必然随机分析
Quasi-Sure Stochastic Analysis through Aggregation and SLE$_κ$ Theory
摘要：
我们研究了SLE $_κ$理论与准确定随机分析的元素，通过聚集。具体来说，我们展示了如何后者可以用来构建SLE $_κ$迹准肯定（即同时为一个家庭的概率测度与某些属性）为$κ\in \mathcal{K}\cap \mathbb{R}_+ \setminus ([0, ε) \cup \{8\})$，为任何$ε>0$与$\mathcal{K} \subset \mathbb{R}_{+}$一个非平凡的紧凑的间隔，即所有的$κ$是不是在一个邻域中的零，并从$8$不同。作为分析的一个副产品，我们用这种语言展示了在紧凑间隔中所有$κ$的SLE $_κ$迹线的$κ$连续性的一个版本，如上所述。
英文摘要：
We study SLE$_κ$ theory with elements of Quasi-Sure Stochastic Analysis through Aggregation. Specifically, we show how the latter can be used to construct the SLE$_κ$ traces quasi-surely (i.e. simultaneously for a family of probability measures with certain properties) for $κ\in \mathcal{K}\cap \mathbb{R}_+ \setminus ([0, ε) \cup \{8\})$, for any $ε>0$ with $\mathcal{K} \subset \mathbb{R}_{+}$ a nontrivial compact interval, i.e. for all $κ$ that are not in a neighborhood of zero and are different from $8$. As a by-product of the analysis, we show in this language a version of the continuity in $κ$ of the SLE$_κ$ traces for all $κ$ in compact intervals as above.
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。
