@Article{ATA-34-374,
author = {Xiaofen Qiu},
title = {The "Hot Spots" Conjecture on Homogeneous Hierarchical Gaskets},
journal = {Analysis in Theory and Applications},
year = {2018},
volume = {34},
number = {4},
pages = {374--386},
abstract = {<p style="text-align: justify;">In this paper, using spectral decimation, we prove that the <span style="text-align: justify;">&quot;</span>hot spots&quot; conjecture
holds on a class of homogeneous hierarchical gaskets introduced by Hambly,
i.e., every eigenfunction of the second-smallest eigenvalue of the Neumann Laplacian
(introduced by Kigami) attains its maximum and minimum on the boundary.&nbsp;</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2017-0070},
url = {http://global-sci.org/intro/article_detail/ata/12850.html}
}