论文标题
在Misiurewicz-Sierpinski地图的Julia集中扩散的存在和独特性
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps
论文作者
论文摘要
我们研究了Misiurewicz-Sierpinski地图的Julia套件上的平衡抗性形式，它们是具有相同权重的自相似抗性形式。特别是，我们使用SABOT定理来证明这些朱莉娅集合上平衡形式的存在和独特性。我们还提供了一项探索性研究，该研究对具有周期性关键点的朱莉娅（Julia）理性地图集上的抗性形式。
We study the balanced resistance forms on the Julia sets of Misiurewicz-Sierpinski maps, which are self-similar resistance forms with equal weights. In particular, we use a theorem of Sabot to prove the existence and uniqueness of balanced forms on these Julia sets. We also provide an explorative study on the resistance forms on the Julia sets of rational maps with periodic critical points.
