Spectrum and Heat Kernel Asymptotics on General Laakso Spaces

Contributors

Matthew Begue, Levi deValve, David Miller, and Benjamin Steinhurst

Overview

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

Publications

arXiv.org
Fractals