Fractal dimension and the persistent homology of random geometric complexes
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DOI: 10.1016/j.aim.2020.107291
Abstract: We prove that the fractal dimension of a metric space equipped with an Ahlfors regular measure can be recovered from the persistent homology of random samples. Our main result is that if $x_1,\ldots, x_n$ are… read more here.
Keywords: ldots right; persistent homology; fractal dimension; left ldots ... See more keywords