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Geometric Measure Theory and Geometric Analysis in Moscow
September 14, 2020 11:00–12:00, Moscow, online
 


Ahlfors regular conformal dimension of metric spaces and parabolic index of infinite graphs

J. Kigami
Supplementary materials:
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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.

Supplementary materials: conformaltalk2020.pdf (1.4 Mb)

Language: English
 
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