论文标题
SLE $_κ（ρ）$泡泡度量
SLE$_κ(ρ)$ bubble measures
论文作者
论文摘要
For $κ>0$ and $ρ>-2$, we construct a $σ$-finite measure, called a rooted SLE$_κ(ρ)$ bubble measure, on the space of curves in the upper half plane $\mathbb H$ started and ended at the same boundary point, which satisfies some SLE$_κ(ρ)$-related domain Markov property, and is the weak limit of SLE$_κ(ρ)$ curves in $ \ Mathbb H $带有两个端点都倾向于根。对于$κ\ in（0,8）$和$ρ\ in（（ - 2）\ vee（\fracκ2-4），\fracκ2-2）$，我们得出了针对生根的SLE $_κ（ρ）$ bubble与Minkowski $ $ $ $ $ $ uscle的$ _- $ ud的分解定理。并构建无根的SLE $_κ（ρ）$气泡测量。
For $κ>0$ and $ρ>-2$, we construct a $σ$-finite measure, called a rooted SLE$_κ(ρ)$ bubble measure, on the space of curves in the upper half plane $\mathbb H$ started and ended at the same boundary point, which satisfies some SLE$_κ(ρ)$-related domain Markov property, and is the weak limit of SLE$_κ(ρ)$ curves in $\mathbb H$ with the two endpoints both tending to the root. For $κ\in(0,8)$ and $ρ\in ((-2)\vee(\fracκ2-4),\fracκ2-2)$, we derive decomposition theorems for the rooted SLE$_κ(ρ)$ bubble with respect to the Minkowski content measure of the intersection of the rooted SLE$_κ(ρ)$ bubble with $\mathbb R$, and construct unrooted SLE$_κ(ρ)$ bubble measures.
