Heat kernel estimates for FIN processes associated with resistance forms
Heat kernel estimates for FIN processes associated with resistance forms
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DOI：
10.1016/j.spa.2018.08.011
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发表时间：
2017-11
影响因子：
1.4
通讯作者：
D. Croydon;B. Hambly;T. Kumagai
中科院分区：
文献类型：
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作者：
D. Croydon;B. Hambly;T. Kumagai
在具有电阻形式的空间上建立了Fontes-Isopi-纽曼（FIN）过程的淬火和退火热核估计.这些结果是新的，即使在一维FIN扩散的情况下，也适用于分形，如谢尔宾斯基垫片和地毯。
Quenched and annealed heat kernel estimates are established for Fontes–Isopi–Newman (FIN) processes on spaces equipped with a resistance form. These results are new even in the case of the one-dimensional FIN diffusion, and also apply to fractals such as the Sierpinski gasket and carpet.