On 2-Sphere Bowditch Boundaries Attaining Conformal Dimension

Abhijit Pal, Rana Sardar

Bonk and Kleiner proved that if $G$ is a Gromov hyperbolic group whose boundary ${\partial }_{\infty }G$ is homeomorphic to an Ahlfors $Q$-regular metric $2$-sphere $Z$, and the Ahlfor…