Einstein Relation on Fractal Objects
Abstract
Many physical phenomena proceed in or on irregular objects which are often modeled by
fractal sets. Using the model case of the Sierpinski gasket, the notions of Hausdorff, spectral
and walk dimension are introduced in a survey style. These "characteristic" numbers of the
fractal are essential for the Einstein relation, expressing the interaction of geometric, analytic
and stochastic aspects of a set.
[DOI: 10.1685 / CSC06175] About DOI
fractal sets. Using the model case of the Sierpinski gasket, the notions of Hausdorff, spectral
and walk dimension are introduced in a survey style. These "characteristic" numbers of the
fractal are essential for the Einstein relation, expressing the interaction of geometric, analytic
and stochastic aspects of a set.
[DOI: 10.1685 / CSC06175] About DOI
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PDFDOI: https://doi.org/10.1685/
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