Measuring Shape with Topology
نویسندگان
چکیده
We propose a measure of shape which is appropriate for the study of a complicated geometric structure, defined using the topology of neighborhoods of the structure. One aspect of this measure gives a new notion of fractal dimension. We demonstrate the utility and computability of this measure by applying it to branched polymers, Brownian trees, and self-avoiding random walks.
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عنوان ژورنال:
- CoRR
دوره abs/1011.2258 شماره
صفحات -
تاریخ انتشار 2010