G. Martin

collaborators

4 papers

math.CV2026

$L^{p}$ -Extremal TeichmÃ¼ller mappings between Riemann surfaces are diffeomorphisms

Gaven Martin, Cong Yao

We consider minimisers in the homotopy class of a homeomorphism $f_{0} : R \to S$ between analytically finite Riemann surfaces with minimal $L^{p}$ - conformal energy \[ \mathsf{E}_p(f:R,S…

math.CV2026

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}^…

math.CV2026

Diffeomorphic solutions of Ahlfors-Hopf equations

Gaven Martin, Cong Yao

Here we advance the study of boundary the value problem for extremal functions of mean distortion and the associated TeichmÃ¼ller spaces interpolating between the classical example…

math.CV2025

On the properness of $p$ -conformal energy on the TeichmÃ¼ller space of a Riemann surface

Hala Alaqad, Jianhua Gong, Gaven Martin +1

We establish that the $p$ -conformal energy, $p \geq 1$ , defined by the $L^{p}$ -norms of the distortion of Sobolev mappings, is a proper functional on the TeichmÃ¼ller space of Riemann…

Lp-Extremal TeichmÃ¼ller mappings between Riemann surfaces are diffeomorphisms

Bounding deformation spaces of Kleinian groups with two generators

Diffeomorphic solutions of Ahlfors-Hopf equations

On the properness of p-conformal energy on the TeichmÃ¼ller space of a Riemann surface

$L^{p}$ -Extremal TeichmÃ¼ller mappings between Riemann surfaces are diffeomorphisms

On the properness of $p$ -conformal energy on the TeichmÃ¼ller space of a Riemann surface