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The Assouad spectrum of Kleinian limit sets and Patterson–Sullivan measure

The Assouad spectrum of Kleinian limit sets and Patterson–Sullivan measure

Abstract The Assouad dimension of the limit set of a geometrically finite Kleinian group with parabolics may exceed the Hausdorff and box dimensions. The Assouad spectrum is a continuously parametrised family of dimensions which ‘interpolates’ between the box and Assouad dimensions of a fractal set. It is designed to reveal …