Ahlfors regular conformal dimension and critical value of p-energies of a compact metric space

Fractal Geometry and Dynamics

09 November 14:00 - 14:50

Jun Kigami - Kyoto University

Given a metric space, we are going to identify Ahlfors regular conformal dimension with the critical value of p-energies associated with the canonical partition of the metric space. Such an identification has been shown by M. Carassco Piaggio for the case of the critical index for discrete modulus. Moreover, we are going to show a relation between the Ahlfors regular conformal dimension and the spectral dimension.
Kenneth J. Falconer
University of St Andrews
Maarit Järvenpää
University of Oulu
Antti Kupiainen
University of Helsinki
Francois Ledrappier
University of Notre Dame
Pertti Mattila
University of Helsinki


Maarit Järvenpää


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