Spectrum and Heat Kernel Asymptotics on General Laakso Spaces

Details Spectrum and Heat Kernel Asymptotics on General Laakso Spaces Spectrum and Heat Kernel Asymptotics on General Laakso Spaces

2009-12-11

arxiv.org/abs/0912.2176v2

Mathematics

Classical Analysis and ODEs

v2: revised prose and cleaned up proofs v1: 23 page, 6 figures

Scientific paper

We introduce a method of constructing a general Laakso space while
calculating the spectrum and multiplicities of the Laplacian operator on it.
Using this information, we found the leading term of the trace of the heat
kernel of a Laakso space and its spectral dimension.

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