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math.CV2024
The exponential Teichmüller theory: Ahlfors--Hopf differentials and diffeomorphisms
Gaven Martin, Cong Yao
We consider minimisers of the -exponential conformal energy for homeomorphisms of finite distortion $\IK(z,f)$ between analytically finite Riemann surfaces in a fixe…
math.CV2024
Bounding deformation spaces of Kleinian groups with two generators
A. Elzenaar, J. Gong, G. J. Martin +1
In this article we provide simple and provable bounds on the size and shape of the locus of discrete subgroups of $\mathsf{PSL}(2,\mathbb{C})\cong \operatorname{Isom}^+(\mathbb{H}^…