On the conformal gauge of a compact metric space
On the conformal gauge of a compact metric space
In this article we study the Ahlfors regular conformal gauge of a compact metric space (X, d), and its conformal dimension dimAR(X, d).Using a sequence of finite coverings of (X, d), we construct distances in its Ahlfors regular conformal gauge of controlled Hausdorff dimension.We obtain in this way a combinatorial …