@Article{ATA-34-374, author = {}, 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 = {

In this paper, using spectral decimation, we prove that the "hot spots" 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. 

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0070}, url = {http://global-sci.org/intro/article_detail/ata/12850.html} }