Non-Regularly Varying and Non-Periodic Oscillation of the On-Diagonal Heat Kernels on Self-Similar Fractals

DOI10.1090/conm/601/11935zbMath1325.28009OpenAlexW3203620318MaRDI QIDQ2949966

Naotaka Kajino

Publication date: 5 October 2015

Published in: Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/601/11935

zbMATH Keywords

oscillationheat kernelDirichlet formself-similar fractalsshort time asymptoticspost-critically finite self-similar fractalsgeneralized Sierpiński carpets

Mathematics Subject Classification ID

Dirichlet forms (31C25) Fractals (28A80) Symbolic dynamics (37B10) Transition functions, generators and resolvents (60J35)

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