The ``hot spots conjecture on the Vicsek set

DOI10.1515/dema-2019-0003zbMath1410.28009arXiv1806.05275OpenAlexW2962810018WikidataQ122945725 ScholiaQ122945725MaRDI QIDQ1736450

Thomas L. Savage, Marius V. Ionescu

Publication date: 26 March 2019

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05275

zbMATH Keywords

analysis on fractalshot spots conjectureVicsek set

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Fractals (28A80)

Uses Software

• Maxima

Cites Work

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• The ``hot spots conjecture for the Sierpiński gasket
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• On a spectral analysis for the Sierpiński gasket.
• The ``hot spots conjecture on higher dimensional Sierpinski gaskets
• A counterexample to the ``hot spots conjecture
• On the ``hot spots conjecture of J. Rauch
• How many diffusions exist on the Vicsek snowflake?
• Self-similarity, operators and dynamics
• A counterexample to the ``hot spots conjecture on nested fractals
• Location of hot spots in thin curved strips
• On eigenvalue problems for Laplacians on p.c.f. self-similar sets
• The ``hot spots conjecture on the level-3 Sierpiński gasket
• Spectral analysis of Laplacians on the Vicsek set
• The “hot spots” conjecture for a certain class of planar convex domains
• On Neumann eigenfunctions in lip domains
• The “hot spots” conjecture for domains with two axes of symmetry