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Ahlfors regular conformal dimension of metric spaces and parabolic index of infinite graphs J. Kigami |
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Abstract: In this talk, I am going to explain an analytic characterization of Ahlfors regular conformal dimension. Through this characterization, one can see a connection between Ahlfors regular conformal dimension of a metric space and the parabolic index of the infinite graph associated with a "brow-up" of the metric space. Language: English |
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