GM
Gaven J. Martin
math.CVmath.GTmath.GRmath.APmath.DGcond-mat.dis-nncond-mat.mtrl-scimath.COmath.HOmath.MP
On Valency
published · living versionsW_s7hexec6·v1 · currentpublished
Cantor's onion: a uniformly quasiregular map whose Julia set is a Cantor set of spheres
with Alastair N. Fletcher
1 version
W_4mu44srz·v1published
W_msu4h6c2·v1published
Preprints & journals
44 papers in the corpus · 1992–2026Integrable distortion I: Weil--Petersson circle homeomorphisms and the Schoen conjecture2610.25580v1 · Gaven Martin, Cong Yao2026 · 0 citationsarXivon Valency
Examples of Uniformly Quasiregular Mappings with Fatou Set Having Infinitely Many Components2606.27746v2 · Gaven Martin, Kirsi Peltonen2026 · 0 citationsarXiv
Diffeomorphic solutions of Ahlfors-Hopf equations2510.19375v2 · Gaven Martin, Cong Yao2025 · 0 citationsarXiv
On the properness of -conformal energy on the Teichmüller space of a Riemann surface2509.01841v1 · Hala Alaqad, Jianhua Gong, Gaven Martin et al.2025 · 0 citationsarXiv
The exponential Teichmüller theory: Ahlfors--Hopf differentials and diffeomorphisms2410.22667v2 · Gaven Martin, Cong Yao2024 · 0 citationsarXiv
On Thin Heckoid and Generalised Triangle Groups in }2409.04438v1 · Alex Elzenaar, Gaven Martin, Jeroen Schillewaert2024 · 0 citationsarXiv
Bounding deformation spaces of Kleinian groups with two generators2405.15970v3 · A. Elzenaar, J. Gong, G.J. Martin et al.2024 · 0 citationsarXiv
On the Conformal Energy of Quasisymmetric and Quasimöbius Mappings2305.12438v1 · Mihai Florincescu, Gaven Martin2023 · 0 citationsarXiv
Topological regularity for solutions to the generalised Hopf equation2304.14761v1 · Gaven Martin, Cong Yao2023 · 0 citationsarXiv
The Generic Failure of Lower-semicontinuity for the Linear Distortion Functional2302.01446v1 · Sayed Mohsen Hashemi, Gaven J. Martin2023 · 0 citationsarXiv
Concrete one complex dimensional moduli spaces of hyperbolic manifolds and orbifolds2204.11422v1 · Alex Elzenaar, Gaven Martin, Jeroen Schillewaert2022 · 1 citationChapter in 2021-2022 MATRIX Annals. Springer, 2024, pp.31-74
The combinatorics of Farey words and their traces2204.08076v2 · Alex Elzenaar, Gaven Martin, Jeroen Schillewaert2022 · 1 citationGroups, Geometry, and Dynamics 20.1 (2026), pp. 215-256
Approximations of the Riley slice2111.03230v1 · Alex Elzenaar, Gaven Martin, Jeroen Schillewaert2021 · 0 citationsExpo. Math. 41 (2023), pp. 20-54
Energy-minimal Principles in Geometric Function Theory2107.09792v1 · Tadeusz Iwaniec, Gaven Martin, Jani Onninen2021 · 6 citationsarXiv
The Teichmüller problem for -means of distortion2107.07660v1 · Gaven J. Martin, Cong Yao2021 · 1 citationarXiv
Projections in moduli spaces of Kleinian groups2107.07034v1 · Hala Alaqad, Jianhua Gong, Gaven Martin2021 · 0 citationsAbstract and Applied Analysis, Volume 2022, Article ID 6311193, 10 pages
Extremal mappings of finite distortion and the Radon-Riesz property2105.01222v1 · Gaven Martin, Cong Yao2021 · 2 citationsarXiv
Chebyshev Polynomials and Inequalities for Kleinian Groups2103.05696v1 · Hala Alaqad, Jianhua Gong, Gaven Martin2021 · 2 citationsCommunications in Contemporary Mathematics, (2021) 2150102, 22 pages
Subharmonic Functions, Conformal Metrics, and CAT(0)2011.14456v1 · David A. Herron, Gaven J. Martin2020 · 1 citationarXiv
The Teichmüller theory: Existence and regularity of critical points2007.15149v1 · Gaven Martin, Cong Yao2020 · 3 citationsarXiv
Higher regularity and uniqueness for inner variational equations2007.15150v1 · Gaven Martin, Cong Yao2020 · 2 citationsarXiv
The continuous part of the axial distance spectrum for Kleinian groups2007.00867v1 · G.J. Martin2020 · 0 citationsarXiv
New models for deformations: Linear Distortion and the failure of rank-one convexity2004.06892v1 · Seyed Mohsen Hashemi, Gaven J. Martin2020 · 1 citationarXiv
Polynomial Trace Identities in , Quaternion Algebras, and Two-generator Kleinian Groups1911.11643v1 · T. H. Marshall, G. J. Martin2019 · 0 citationsarXiv
Non-variational extrema of exponential Teichmüller spaces1910.13079v1 · Gaven Martin, Cong Yao2019 · 2 citationsarXiv
Super regularity for Beltrami systems1903.01008v1 · Gaven J. Martin2019 · 2 citationsarXiv
A resonance interaction of seismogravitational modes on tectonic plates1811.00721v1 · Victor Flambaum, Gaven Martin, Boris Pavlov2018 · 1 citationarXiv
Random Lattices, Punctured Tori and the Teichmüller distribution1807.11127v1 · Gaven J. Martin2018 · 0 citationsarXiv
Quasiregular families bounded in and elliptic estimates1806.00758v1 · Aimo Hinkkanen, Gaven Martin2018 · 6 citationsarXiv
Random Kleinian Groups, II : Two parabolic generators1801.01167v1 · Gaven Martin, Graeme O'Brien, Yasushi Yamashita2018 · 4 citationsarXiv
Random Kleinian Groups I: Random Fuchsian Groups1712.03602v1 · Gaven Martin, Graeme O'Brien2017 · 0 citationsarXiv
Frederick William Gehring, Life and Mathematics1612.01412v1 · Gaven J. Martin2016 · 0 citationsarXiv
The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 61502.05453v1 · Colin Maclachlan, Gaven Martin2015 · 0 citationsarXiv
Quasicircles as equipotential lines, homotopy classes and geodesics1407.1560v1 · Gaven J. Martin2014 · 1 citationarXiv
Stream lines, quasilines and holomorphic motions1407.1561v1 · Gaven J. Martin2014 · 1 citationarXiv
Distortion and topology1406.5324v1 · Riku Kl'en, Gaven J. Martin2014 · 1 citationarXiv
Approximating Metal-Insulator Transitions1405.1694v1 · C.Danieli, K.Rayanov, B.Pavlov et al.2014 · 4 citationsarXiv
The Theory of Quasiconformal Mappings in Higher Dimensions, I1311.0899v1 · Gaven J. Martin2013 · 10 citationsarXiv
The tension equation with holomorphic coefficients, harmonic mappings and rigidity1310.4871v1 · Gaven J Martin2013 · 3 citationsarXiv
Harmonic degree 1 maps are diffeomorphisms: Lewy's theorem for curved metrics1310.4872v1 · Gaven J. Martin2013 · 7 citationsarXiv
Cofinitely Hopfian groups, open mappings and knot complements1012.1785v1 · Martin R. Bridson, Daniel Groves, Jonathan A. Hillman et al.2010 · 13 citationsGroups, Geometry and Dynamics, 4, no.4, 2010, 693-707
Arithmeticity, Discreteness and Volumemath/9504208v1 · F. W. Gehring, C. Maclachlan, G. J. Martin et al.1995 · 49 citationsarXiv
On the Margulis constant for Kleinian groups, I curvaturemath/9504209v1 · F. W. Gehring, G. J. Martin1995 · 1 citationarXiv
Axial distances in discrete Möbius groups.11607284 · Gehring, F W, Martin, G J2001 · 11 citationsProceedings of the National Academy of Sciences of the United States of America. 1992;89(6):1999-2001
Career total: 198 works. 44 are in this corpus.
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