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Martin, Gaven J.

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Author ID: martin.gaven-j Recent zbMATH articles by "Martin, Gaven J."
Published as: Martin, G. J.; Martin, Gaven J.; Martin, Gaven; Martin, G.
Homepage: http://www.massey.ac.nz/massey/expertise/profile.cfm?stref=339830
External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 146 Publications since 1985, including 4 Books
1 Contribution as Editor
all top 5

Serials

8 Proceedings of the American Mathematical Society
7 Journal d’Analyse Mathématique
7 New Zealand Journal of Mathematics
6 Journal of the London Mathematical Society. Second Series
5 Annales Academiae Scientiarum Fennicae. Mathematica
4 Journal für die Reine und Angewandte Mathematik
4 Transactions of the American Mathematical Society
3 Indiana University Mathematics Journal
3 Mathematische Annalen
3 Mathematica Scandinavica
3 Proceedings of the London Mathematical Society. Third Series
3 Complex Variables. Theory and Application
3 Conformal Geometry and Dynamics
3 Computational Methods and Function Theory
2 Acta Mathematica
2 American Journal of Mathematics
2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
2 Bulletin of the London Mathematical Society
2 Indian Journal of Mathematics
2 Journal of Differential Geometry
2 Pacific Journal of Mathematics
2 Revista Matemática Iberoamericana
2 Annals of Mathematics. Second Series
2 Complex Variables and Elliptic Equations
2 Pure and Applied Mathematics Quarterly
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Studia Mathematica
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Topology
1 The Journal of Geometric Analysis
1 Journal of the Australian Mathematical Society. Series A
1 Mathematical Chronicle
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 Experimental Mathematics
1 Russian Journal of Mathematical Physics
1 Mathematical Research Letters
1 Methods and Applications of Analysis
1 Electronic Research Announcements of the American Mathematical Society
1 Communications in Contemporary Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of the Australian Mathematical Society
1 Mathematical Reports
1 Mathematical Surveys and Monographs
1 Princeton Mathematical Series
1 Groups, Geometry, and Dynamics
1 Journal of Math-for-Industry
1 Complex Analysis and its Synergies
1 Nanosistemy: Fizika, Khimiya, Matematika
1 Proceedings of the Centre for Mathematics and its Applications, Australian National University
1 Oxford Mathematical Monographs
1 Annales Fennici Mathematici

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,560 times in 991 Documents Cited by Year
Elliptic partial differential equations and quasiconformal mappings in the plane. Zbl 1182.30001
Astala, Kari; Iwaniec, Tadeusz; Martin, Gaven
276
2009
Geometric function theory and nonlinear analysis. Zbl 1045.30011
Iwaniec, Tadeusz; Martin, Gaven
186
2001
Quasiregular mappings in even dimensions. Zbl 0785.30008
Iwaniec, Tadeusz; Martin, Gaven
92
1993
Extremal mappings of finite distortion. Zbl 1089.30013
Astala, K.; Iwaniec, T.; Martin, G. J.; Onninen, J.
60
2005
Discrete quasiconformal groups. I. Zbl 0628.30027
Gehring, F. W.; Martin, G. J.
56
1987
Mappings of \(BMO\)-bounded distortion. Zbl 0954.30009
Astala, Kari; Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
46
2000
Riesz transforms and related singular integrals. Zbl 0847.42015
Iwaniec, Tadeusz; Martin, Gaven
44
1996
The dynamics of semigroups of rational functions. I. Zbl 0859.30026
Hinkkanen, A.; Martin, G. J.
43
1996
Deformations of annuli with smallest mean distortion. Zbl 1219.30011
Astala, K.; Iwaniec, T.; Martin, G.
39
2010
On discrete Möbius groups in all dimensions: A generalization of Jørgensen’s inequality. Zbl 0698.20037
Martin, G. J.
32
1989
Mappings of BMO-distortion and Beltrami-type operators. Zbl 1028.30015
Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
27
2002
Local dynamics of uniformly quasiregular mappings. Zbl 1067.30043
Hinkkanen, Aimo; Martin, Gaven J.; Mayer, Volker
26
2004
The quasihyperbolic metric and associated estimates on the hyperbolic metric. Zbl 0621.30023
Martin, Gaven J.; Osgood, Brad G.
26
1986
Quasiconformal and bi-Lipschitz homeomorphisms, uniform domains and the quasihyperbolic metric. Zbl 0584.30020
Martin, Gaven J.
25
1985
Quasiregular semigroups. Zbl 0860.30019
Iwaniec, Tadeusz; Martin, Gaven
22
1996
Commutators, collars and the geometry of Möbius groups. Zbl 0799.30034
Gehring, F. W.; Martin, G. J.
22
1994
Arithmeticity, discreteness and volume. Zbl 0889.30031
Gehring, F. W.; Maclachlan, C.; Martin, G. J.; Reid, A. W.
20
1997
Minimal co-volume hyperbolic lattices. I: The spherical points of a Kleinian group. Zbl 1171.30014
Gehring, Frederick W.; Martin, Gaven J.
18
2009
Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C.
17
2003
The Beltrami equation. Zbl 1144.30010
Iwaniec, Tadeusz; Martin, Gaven
17
2008
The Teichmüller problem for mean distortion. Zbl 1182.30030
Martin, Gaven J.
15
2009
An introduction to the theory of higher-dimensional quasiconformal mappings. Zbl 1371.30001
Gehring, Frederick W.; Martin, Gaven J.; Palka, Bruce P.
15
2017
Holomorphic motions. Zbl 1001.30020
Astala, K.; Martin, G. J.
14
2001
Deformations with smallest weighted \(L^{p}\) average distortion and Nitsche-type phenomena. Zbl 1294.30049
Martin, Gaven J.; McKubre-Jordens, Maarten
14
2012
Minimal co-volume hyperbolic lattices. II: Simple torsion in a Kleinian group. Zbl 1252.30030
Marshall, Timothy H.; Martin, Gaven J.
14
2012
The distortion theorem for quasiconformal mappings, Schottky’s theorem and holomorphic motions. Zbl 0870.30017
Martin, G. J.
13
1997
Stability and extremality in Jørgensen’s inequality. Zbl 0706.30037
Gehring, F. W.; Martin, G. J.
12
1989
Precisely invariant collars and the volume of hyperbolic \(3\)-folds. Zbl 0989.57010
Gehring, F. W.; Martin, G. J.
11
1998
Analytic disks and pluripolar sets. Zbl 0763.32010
Levenberg, N.; Martin, G.; Poletsky, E. A.
11
1992
Inequalities for Möbius transformations and discrete groups. Zbl 0722.30034
Gehring, F. W.; Martin, G. J.
11
1991
Attractors in quasiregular semigroups. Zbl 0869.30018
Hinkkanen, A.; Martin, G. J.
11
1996
Branch sets of uniformly quasiregular maps. Zbl 0889.30022
Martin, G. J.
11
1997
Iteration theory and inequalities for Kleinian groups. Zbl 0689.30036
Gehring, F. W.; Martin, G. J.
11
1989
Kleinian groups with real parameters. Zbl 0981.30030
Gehring, F. W.; Gilman, J. P.; Martin, G. J.
10
2001
Balls in hyperbolic manifolds. Zbl 0709.30040
Martin, Gaven J.
9
1989
Julia sets of rational semigroups. Zbl 0849.30018
Hinkkanen, A.; Martin, G. J.
9
1996
Stoïlow factorization for quasiregular mappings in all dimensions. Zbl 1190.30020
Martin, Gaven; Peltonen, Kirsi
9
2010
On discrete isometry groups of negative curvature. Zbl 0822.57026
Martin, Gaven J.
9
1993
Families of meromorphic functions avoiding continuous functions. Zbl 0981.30024
Bargmann, D.; Bonk, M.; Hinkkanen, A.; Martin, G. J.
8
1999
Quasiconformal homogeneity of hyperbolic manifolds. Zbl 1063.30020
Bonfert-Taylor, Petra; Canary, Richard D.; Martin, Gaven; Taylor, Edward
8
2005
Rigidity in holomorphic and quasiregular dynamics. Zbl 1094.30025
Martin, Gaven J.; Mayer, Volker
8
2003
On the minimal volume hyperbolic 3-orbifold. Zbl 0834.30029
Gehring, F. W.; Martin, G. J.
8
1994
The volume of hyperbolic 3-folds with \(p\)-torsion, \(p\geq 6\). Zbl 0926.30027
Gehring, F. W.; Martin, G. J.
8
1999
Discrete quasiconformal groups that are not the quasiconformal conjugates of Möbius groups. Zbl 0635.30021
Martin, Gaven J.
8
1986
Group actions of the 2-sphere. Zbl 0691.57020
Martin, Gaven J.; Skora, Richard K.
8
1989
On the Margulis constant for Kleinian groups. I. Zbl 0854.30031
Gehring, F. W.; Martin, G. J.
7
1996
Maximal symmetry groups of hyperbolic 3-manifolds. Zbl 1104.20035
Conder, Marston; Martin, Gaven; Torstensson, Anna
7
2006
Lipschitz conditions in conformally invariant metrics. Zbl 0758.30018
Ferrand, J.; Martin, G. J.; Vuorinen, M.
7
1991
The Hilbert-Smith conjecture for quasiconformal actions. Zbl 0979.30013
Martin, Gaven J.
7
1999
What’s new for the Beltrami equation? Zbl 1129.30015
Iwaniec, Tadeusz; Martin, Gaven
7
2001
\(L^p\)-integrability & weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\). Zbl 1168.31001
Iwaniec, Tadeusz; Martin, Gaven; Sbordone, Carlo
7
2009
Pucci’s conjecture and the Alexandrov inequality for elliptic PDEs in the plane. Zbl 1147.35021
Astala, K.; Iwaniec, T.; Martin, G.
6
2006
Two-generator arithmetic Kleinian groups. II. Zbl 0930.30037
Gehring, F. W.; MacLachlan, C.; Martin, G. J.
6
1998
On minimisers of \(L^p\)-mean distortion. Zbl 1316.30021
Iwaniec, Tadeusz; Martin, Gaven; Onninen, Jani
6
2014
The spectrum of elliptic axial distances in Kleinian groups. Zbl 0914.30031
Gehring, F. W.; Marshall, T. H.; Martin, G. J.
5
1998
Quasiconformal mappings and capacity. Zbl 0752.30009
Iwaniec, Tadeusz; Martin, Gaven
5
1991
Teichmüller mappings, quasiconformal homogeneity, and non-amenable covers of Riemann surfaces. Zbl 1239.30007
Bonfert-Taylor, Petra; Martin, Gaven; Reid, Alan W.; Taylor, Edward C.
5
2011
Cofinitely Hopfian groups, open mappings and knot complements. Zbl 1259.20047
Bridson, Martin R.; Groves, Daniel; Hillman, Jonathan A.; Martin, Gaven J.
4
2010
On the geometry of Kleinian groups. Zbl 0886.30030
Martin, Gaven J.
4
1998
Quasiregular self-mappings of manifolds and word hyperbolic groups. Zbl 1131.20031
Bridson, Martin; Hinkkanen, Aimo; Martin, Gaven
4
2007
Analytic continuation for Beltrami systems, Siegel’s theorem for UQR maps, and the Hilbert-Smith conjecture. Zbl 1013.30016
Martin, Gaven J.
4
2002
Axial distances in discrete Möbius groups. Zbl 0753.30030
Gehring, F. W.; Martin, G. J.
4
1992
\((p,q,r)\)-Kleinian groups and the Margulis constant. Zbl 1088.30044
Gehring, F. W.; Martin, G. J.
4
2005
The generalized Lichnerowicz problem: Uniformly quasiregular mappings and space forms. Zbl 1094.30029
Martin, Gaven; Mayer, Volker; Peltonen, Kirsi
4
2006
Some properties of semigroups of rational functions. Zbl 0869.30019
Hinkkanen, A.; Martin, G. J.
4
1996
Lattice constants and a lemma of Zagier. Zbl 0884.30034
Cao, C.; Gehring, F. W.; Martin, G. J.
4
1997
The theory of quasiconformal mappings in higher dimensions, I. Zbl 1319.30014
Martin, Gaven J.
4
2014
Volumes of hyperbolic \(3\)-manifolds. Notes on a paper of Gabai, Meyerhoff, and Milley. Zbl 1065.57017
Marshall, T. H.; Martin, G. J.
3
2003
Holomorphic motions and quasicircles. Zbl 1310.30021
Martin, Gaven J.
3
2013
6-torsion and hyperbolic volume. Zbl 0790.30032
Gehring, F. W.; Martin, G. J.
3
1993
Squeezing the Sierpiński sponge. Zbl 0992.30010
Iwaniec, Tadeusz; Martin, Gaven
3
2002
The volume of regular tetrahedra and sphere packing in hyperbolic 3-space. Zbl 0761.52012
Martin, Gaven J.
3
1991
The Liouville theorem. Zbl 0939.30014
Iwaniec, Tadeusz; Martin, Gaven
3
1998
Ambient quasiconformal homogeneity of planar domains. Zbl 1198.30017
Bonfert-Taylor, Petra; Canary, Richard D.; Martin, Gaven; Taylor, Edward C.; Wolf, Michael
3
2010
Convergence and Möbius groups. Zbl 0659.30036
Martin, Gaven J.; Tukia, Pekka
3
1988
Quasiconformal and affine groups. Zbl 0668.53004
Martin, Gaven J.
3
1989
Local inverse scattering problem as a tool of perturbation analysis for resonance systems. Zbl 1325.47024
Adamyan, V. M.; Martin, G. J.; Pavlov, B. S.
3
2014
Landau-Zener effect for a quasi-2D periodic sandwich. Zbl 1348.81222
Bagraev, N.; Martin, G.; Pavlov, B. S.; Yafyasov, A.
2
2011
Quasiconformal groups with small dilatation. I. Zbl 0984.30023
Bonfert-Taylor, Petra; Martin, Gaven
2
2001
The non-compact arithmetic generalized triangle groups. Zbl 1052.30043
Maclachlan, C.; Martin, G. J.
2
2001
Extending rational maps. Zbl 1128.37305
Martin, Gaven J.
2
2004
Cylinder and horoball packing in hyperbolic space. Zbl 1079.52011
Marshall, T. H.; Martin, G. J.
2
2005
Hyperbolic axes and elliptic fixed points in a Fuchsian group. Zbl 0924.30042
Gehring, F. W.; Martin, G. J.
2
1997
The geometric analysis of deformations of finite distortion: Future directions and problems. Zbl 1053.30010
Iwaniec, Tadeusz; Martin, Gaven
2
2003
Mediatrix of two arcs of a quasicircle. (Mediatrice de deux arcs de quasicercle.) Zbl 0752.30015
David, G.; Martin, G.; Semmes, S.
2
1990
On the discreteness of the free product of finite cyclic groups. Zbl 0869.30035
Gehring, F. W.; Maclachlan, C.; Martin, G. J.
2
1996
Chebyshev polynomials and discrete groups. Zbl 0838.30042
Gehring, F. W.; Martin, G. J.
2
1994
\(2\)-generator arithmetic Kleinian groups. Zbl 0960.20029
Maclachlan, C.; Martin, G. J.
2
1999
Calculation of the Kirchhoff coefficients for the Helmholtz resonator. Zbl 1183.35213
Brüning, J.; Martin, G.; Pavlov, B.
2
2009
Harmonic degree 1 maps are diffeomorphisms: Lewy’s theorem for curved metrics. Zbl 1350.30033
Martin, Gaven J.
2
2016
Some universal constraints for discrete Möbius groups. Zbl 0784.30038
Gehring, F. W.; Martin, G. J.
2
1991
Cusps, triangle groups and hyperbolic 3-folds. Zbl 0807.57009
Conder, Marston D. E.; Martin, Gaven J.
2
1993
The matrix and chordal norms of Möbius transformations. Zbl 0666.30016
Gehring, F. W.; Martin, G. J.
2
1988
Quasiregular families bounded in \(L^p\) and elliptic estimates. Zbl 1436.30014
Hinkkanen, Aimo; Martin, Gaven
2
2020
Quasicircles as equipotential lines, homotopy classes and geodesics. Zbl 1372.30012
Martin, Gaven J.
1
2016
Quasiconformal groups with small dilatation. II. Zbl 1246.30074
Bonfert-Taylor, Petra; Martin, Gaven
1
2006
Monotone maps of \(\mathbb{R}^n\) are quasiconformal. Zbl 1178.30025
Astala, Kari; Iwaniec, Tadeusz; Martin, Gaven J.
1
2008
Triangle subgroups of Kleinian groups. Zbl 0865.30059
Martin, Gaven J.
1
1996
Packing strips in the hyperbolic plane. Zbl 1032.52007
Marshall, T. H.; Martin, G. J.
1
2003
2-Generator arithmetic Kleinian groups. III. Zbl 1017.30052
Conder, M. D. E.; Maclachlan, C.; Martin, G. J.; O’Brien, E. A.
1
2002
Quasiregular families bounded in \(L^p\) and elliptic estimates. Zbl 1436.30014
Hinkkanen, Aimo; Martin, Gaven
2
2020
Khovanov homology and causality in spacetimes. Zbl 1440.53076
Chernov, V.; Martin, G.; Petkova, I.
1
2020
Random ideal hyperbolic quadrilaterals, the cross ratio distribution and punctured tori. Zbl 1442.30043
Martin, Gaven J.
1
2019
An introduction to the theory of higher-dimensional quasiconformal mappings. Zbl 1371.30001
Gehring, Frederick W.; Martin, Gaven J.; Palka, Bruce P.
15
2017
Harmonic degree 1 maps are diffeomorphisms: Lewy’s theorem for curved metrics. Zbl 1350.30033
Martin, Gaven J.
2
2016
Quasicircles as equipotential lines, homotopy classes and geodesics. Zbl 1372.30012
Martin, Gaven J.
1
2016
On minimisers of \(L^p\)-mean distortion. Zbl 1316.30021
Iwaniec, Tadeusz; Martin, Gaven; Onninen, Jani
6
2014
The theory of quasiconformal mappings in higher dimensions, I. Zbl 1319.30014
Martin, Gaven J.
4
2014
Local inverse scattering problem as a tool of perturbation analysis for resonance systems. Zbl 1325.47024
Adamyan, V. M.; Martin, G. J.; Pavlov, B. S.
3
2014
Fred Gehring’s mathematics. Zbl 1307.30001
Martin, Gaven J.
1
2014
Holomorphic motions and quasicircles. Zbl 1310.30021
Martin, Gaven J.
3
2013
Deformations with smallest weighted \(L^{p}\) average distortion and Nitsche-type phenomena. Zbl 1294.30049
Martin, Gaven J.; McKubre-Jordens, Maarten
14
2012
Minimal co-volume hyperbolic lattices. II: Simple torsion in a Kleinian group. Zbl 1252.30030
Marshall, Timothy H.; Martin, Gaven J.
14
2012
A zero-range model for localized boundary stress on a tectonic plate with dissipative boundary conditions. Zbl 1302.86017
Ivlev, Lev; Martin, Gaven J.; Pavlov, Boris; Petrova, Larissa
1
2012
Teichmüller mappings, quasiconformal homogeneity, and non-amenable covers of Riemann surfaces. Zbl 1239.30007
Bonfert-Taylor, Petra; Martin, Gaven; Reid, Alan W.; Taylor, Edward C.
5
2011
Landau-Zener effect for a quasi-2D periodic sandwich. Zbl 1348.81222
Bagraev, N.; Martin, G.; Pavlov, B. S.; Yafyasov, A.
2
2011
Quasiregular mappings, curvature & dynamics. Zbl 1235.30019
Martin, Gaven J.
1
2011
Deformations of annuli with smallest mean distortion. Zbl 1219.30011
Astala, K.; Iwaniec, T.; Martin, G.
39
2010
Stoïlow factorization for quasiregular mappings in all dimensions. Zbl 1190.30020
Martin, Gaven; Peltonen, Kirsi
9
2010
Cofinitely Hopfian groups, open mappings and knot complements. Zbl 1259.20047
Bridson, Martin R.; Groves, Daniel; Hillman, Jonathan A.; Martin, Gaven J.
4
2010
Ambient quasiconformal homogeneity of planar domains. Zbl 1198.30017
Bonfert-Taylor, Petra; Canary, Richard D.; Martin, Gaven; Taylor, Edward C.; Wolf, Michael
3
2010
Elliptic partial differential equations and quasiconformal mappings in the plane. Zbl 1182.30001
Astala, Kari; Iwaniec, Tadeusz; Martin, Gaven
276
2009
Minimal co-volume hyperbolic lattices. I: The spherical points of a Kleinian group. Zbl 1171.30014
Gehring, Frederick W.; Martin, Gaven J.
18
2009
The Teichmüller problem for mean distortion. Zbl 1182.30030
Martin, Gaven J.
15
2009
\(L^p\)-integrability & weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\). Zbl 1168.31001
Iwaniec, Tadeusz; Martin, Gaven; Sbordone, Carlo
7
2009
Calculation of the Kirchhoff coefficients for the Helmholtz resonator. Zbl 1183.35213
Brüning, J.; Martin, G.; Pavlov, B.
2
2009
Aspects of quasiconformal homogeneity. Zbl 1233.30014
Gong, Jianhua; Martin, Gaven
1
2009
The Beltrami equation. Zbl 1144.30010
Iwaniec, Tadeusz; Martin, Gaven
17
2008
Monotone maps of \(\mathbb{R}^n\) are quasiconformal. Zbl 1178.30025
Astala, Kari; Iwaniec, Tadeusz; Martin, Gaven J.
1
2008
Schottky’s theorem on conformal mappings between annuli: a play of derivatives and integrals. Zbl 1170.30003
Astala, K.; Iwaniec, T.; Martin, G.; Onninen, J.
1
2008
Quasiregular self-mappings of manifolds and word hyperbolic groups. Zbl 1131.20031
Bridson, Martin; Hinkkanen, Aimo; Martin, Gaven
4
2007
Maximal symmetry groups of hyperbolic 3-manifolds. Zbl 1104.20035
Conder, Marston; Martin, Gaven; Torstensson, Anna
7
2006
Pucci’s conjecture and the Alexandrov inequality for elliptic PDEs in the plane. Zbl 1147.35021
Astala, K.; Iwaniec, T.; Martin, G.
6
2006
The generalized Lichnerowicz problem: Uniformly quasiregular mappings and space forms. Zbl 1094.30029
Martin, Gaven; Mayer, Volker; Peltonen, Kirsi
4
2006
Quasiconformal groups with small dilatation. II. Zbl 1246.30074
Bonfert-Taylor, Petra; Martin, Gaven
1
2006
Limit functions for convergence groups and uniformly quasiregular maps. Zbl 1102.30017
Hinkkanen, Aimo; Martin, Gaven
1
2006
Extremal mappings of finite distortion. Zbl 1089.30013
Astala, K.; Iwaniec, T.; Martin, G. J.; Onninen, J.
60
2005
Quasiconformal homogeneity of hyperbolic manifolds. Zbl 1063.30020
Bonfert-Taylor, Petra; Canary, Richard D.; Martin, Gaven; Taylor, Edward
8
2005
\((p,q,r)\)-Kleinian groups and the Margulis constant. Zbl 1088.30044
Gehring, F. W.; Martin, G. J.
4
2005
Cylinder and horoball packing in hyperbolic space. Zbl 1079.52011
Marshall, T. H.; Martin, G. J.
2
2005
Quasiconformal groups of compact type. Zbl 1281.30033
Bonfert-Taylor, Petra; Martin, Gaven
1
2005
Local dynamics of uniformly quasiregular mappings. Zbl 1067.30043
Hinkkanen, Aimo; Martin, Gaven J.; Mayer, Volker
26
2004
Extending rational maps. Zbl 1128.37305
Martin, Gaven J.
2
2004
Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C.
17
2003
Rigidity in holomorphic and quasiregular dynamics. Zbl 1094.30025
Martin, Gaven J.; Mayer, Volker
8
2003
Volumes of hyperbolic \(3\)-manifolds. Notes on a paper of Gabai, Meyerhoff, and Milley. Zbl 1065.57017
Marshall, T. H.; Martin, G. J.
3
2003
The geometric analysis of deformations of finite distortion: Future directions and problems. Zbl 1053.30010
Iwaniec, Tadeusz; Martin, Gaven
2
2003
Packing strips in the hyperbolic plane. Zbl 1032.52007
Marshall, T. H.; Martin, G. J.
1
2003
Mappings of BMO-distortion and Beltrami-type operators. Zbl 1028.30015
Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
27
2002
Analytic continuation for Beltrami systems, Siegel’s theorem for UQR maps, and the Hilbert-Smith conjecture. Zbl 1013.30016
Martin, Gaven J.
4
2002
Squeezing the Sierpiński sponge. Zbl 0992.30010
Iwaniec, Tadeusz; Martin, Gaven
3
2002
2-Generator arithmetic Kleinian groups. III. Zbl 1017.30052
Conder, M. D. E.; Maclachlan, C.; Martin, G. J.; O’Brien, E. A.
1
2002
Geometric function theory and nonlinear analysis. Zbl 1045.30011
Iwaniec, Tadeusz; Martin, Gaven
186
2001
Holomorphic motions. Zbl 1001.30020
Astala, K.; Martin, G. J.
14
2001
Kleinian groups with real parameters. Zbl 0981.30030
Gehring, F. W.; Gilman, J. P.; Martin, G. J.
10
2001
What’s new for the Beltrami equation? Zbl 1129.30015
Iwaniec, Tadeusz; Martin, Gaven
7
2001
Quasiconformal groups with small dilatation. I. Zbl 0984.30023
Bonfert-Taylor, Petra; Martin, Gaven
2
2001
The non-compact arithmetic generalized triangle groups. Zbl 1052.30043
Maclachlan, C.; Martin, G. J.
2
2001
Mappings of \(BMO\)-bounded distortion. Zbl 0954.30009
Astala, Kari; Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
46
2000
Families of meromorphic functions avoiding continuous functions. Zbl 0981.30024
Bargmann, D.; Bonk, M.; Hinkkanen, A.; Martin, G. J.
8
1999
The volume of hyperbolic 3-folds with \(p\)-torsion, \(p\geq 6\). Zbl 0926.30027
Gehring, F. W.; Martin, G. J.
8
1999
The Hilbert-Smith conjecture for quasiconformal actions. Zbl 0979.30013
Martin, Gaven J.
7
1999
\(2\)-generator arithmetic Kleinian groups. Zbl 0960.20029
Maclachlan, C.; Martin, G. J.
2
1999
Precisely invariant collars and the volume of hyperbolic \(3\)-folds. Zbl 0989.57010
Gehring, F. W.; Martin, G. J.
11
1998
Two-generator arithmetic Kleinian groups. II. Zbl 0930.30037
Gehring, F. W.; MacLachlan, C.; Martin, G. J.
6
1998
The spectrum of elliptic axial distances in Kleinian groups. Zbl 0914.30031
Gehring, F. W.; Marshall, T. H.; Martin, G. J.
5
1998
On the geometry of Kleinian groups. Zbl 0886.30030
Martin, Gaven J.
4
1998
The Liouville theorem. Zbl 0939.30014
Iwaniec, Tadeusz; Martin, Gaven
3
1998
Arithmeticity, discreteness and volume. Zbl 0889.30031
Gehring, F. W.; Maclachlan, C.; Martin, G. J.; Reid, A. W.
20
1997
The distortion theorem for quasiconformal mappings, Schottky’s theorem and holomorphic motions. Zbl 0870.30017
Martin, G. J.
13
1997
Branch sets of uniformly quasiregular maps. Zbl 0889.30022
Martin, G. J.
11
1997
Lattice constants and a lemma of Zagier. Zbl 0884.30034
Cao, C.; Gehring, F. W.; Martin, G. J.
4
1997
Hyperbolic axes and elliptic fixed points in a Fuchsian group. Zbl 0924.30042
Gehring, F. W.; Martin, G. J.
2
1997
Riesz transforms and related singular integrals. Zbl 0847.42015
Iwaniec, Tadeusz; Martin, Gaven
44
1996
The dynamics of semigroups of rational functions. I. Zbl 0859.30026
Hinkkanen, A.; Martin, G. J.
43
1996
Quasiregular semigroups. Zbl 0860.30019
Iwaniec, Tadeusz; Martin, Gaven
22
1996
Attractors in quasiregular semigroups. Zbl 0869.30018
Hinkkanen, A.; Martin, G. J.
11
1996
Julia sets of rational semigroups. Zbl 0849.30018
Hinkkanen, A.; Martin, G. J.
9
1996
On the Margulis constant for Kleinian groups. I. Zbl 0854.30031
Gehring, F. W.; Martin, G. J.
7
1996
Some properties of semigroups of rational functions. Zbl 0869.30019
Hinkkanen, A.; Martin, G. J.
4
1996
On the discreteness of the free product of finite cyclic groups. Zbl 0869.30035
Gehring, F. W.; Maclachlan, C.; Martin, G. J.
2
1996
Triangle subgroups of Kleinian groups. Zbl 0865.30059
Martin, Gaven J.
1
1996
Holomorphic motions, Schottky’s theorem and an inequality for discrete groups. Zbl 0868.30039
Gehring, F. W.; Martin, G. J.
1
1995
Commutators, collars and the geometry of Möbius groups. Zbl 0799.30034
Gehring, F. W.; Martin, G. J.
22
1994
On the minimal volume hyperbolic 3-orbifold. Zbl 0834.30029
Gehring, F. W.; Martin, G. J.
8
1994
Chebyshev polynomials and discrete groups. Zbl 0838.30042
Gehring, F. W.; Martin, G. J.
2
1994
Complex dynamical systems. Zbl 0879.58039
Martin, Gaven J.
1
1994
Quasiregular mappings in even dimensions. Zbl 0785.30008
Iwaniec, Tadeusz; Martin, Gaven
92
1993
On discrete isometry groups of negative curvature. Zbl 0822.57026
Martin, Gaven J.
9
1993
6-torsion and hyperbolic volume. Zbl 0790.30032
Gehring, F. W.; Martin, G. J.
3
1993
Cusps, triangle groups and hyperbolic 3-folds. Zbl 0807.57009
Conder, Marston D. E.; Martin, Gaven J.
2
1993
Essential singularities of quasimeromorphic mappings. Zbl 0792.30015
Gauld, D. B.; Martin, G. J.
1
1993
Analytic disks and pluripolar sets. Zbl 0763.32010
Levenberg, N.; Martin, G.; Poletsky, E. A.
11
1992
Axial distances in discrete Möbius groups. Zbl 0753.30030
Gehring, F. W.; Martin, G. J.
4
1992
Convergence groups with an invariant component pair. Zbl 0790.30033
Martin, Gaven J.; Tukia, Pekka
1
1992
Inequalities for Möbius transformations and discrete groups. Zbl 0722.30034
Gehring, F. W.; Martin, G. J.
11
1991
Lipschitz conditions in conformally invariant metrics. Zbl 0758.30018
Ferrand, J.; Martin, G. J.; Vuorinen, M.
7
1991
Quasiconformal mappings and capacity. Zbl 0752.30009
Iwaniec, Tadeusz; Martin, Gaven
5
1991
The volume of regular tetrahedra and sphere packing in hyperbolic 3-space. Zbl 0761.52012
Martin, Gaven J.
3
1991
Some universal constraints for discrete Möbius groups. Zbl 0784.30038
Gehring, F. W.; Martin, G. J.
2
1991
...and 16 more Documents
all top 5

Cited by 962 Authors

41 Martin, Gaven J.
39 Iwaniec, Tadeusz
38 Onninen, Jani
29 Ryazanov, Vladimir Il’ich
21 Vuorinen, Matti Keijo Kustaa
19 Koskela, Pekka
18 Fletcher, Alastair N.
18 Kalaj, David
16 Sumi, Hiroki
15 Gutlyanskiĭ, Vladimir Ya.
14 Astala, Kari
13 Sevost’yanov, Yevgen Oleksandrovych
13 Yang, Dachun
12 Bañuelos, Rodrigo
11 Clop, Albert
11 Hencl, Stanislav
11 Osękowski, Adam
11 Pankka, Pekka
11 Sbordone, Carlo
10 Ding, Shusen
10 Salimov, Ruslan Radikovich
10 Wang, Xiantao
9 Bonfert-Taylor, Petra
9 Faraco, Daniel
9 Kovalev, Leonid V.
9 Rajala, Kai
8 Guo, Changyu
8 Yakubov, Eduard H.
8 Zhong, Xiao
7 Baratchart, Laurent
7 Cao, Wensheng
7 Gao, Hongya
7 Herron, David A.
7 Jiang, Yueping
7 Klén, Riku
7 Koski, Aleksis
7 Nicks, Daniel A.
7 Prause, István
7 Saksman, Eero
7 Schiattarella, Roberta
7 Stankewitz, Rich
7 Taheri, Ali
7 Uriarte-Tuero, Ignacio
6 Fang, Ainong
6 Gehring, Frederick William
6 Golberg, Anatoly
6 Moscariello, Gioconda
6 Peltonen, Kirsi
6 Srebro, Uri
6 Sugawa, Toshiyuki
6 Taylor, Edward C.
6 Tukia, Pekka
6 Zheng, Shenzhou
5 Bergweiler, Walter
5 Feng, Xiaogao
5 Nguyen Cong Phuc
5 Nolder, Craig A.
5 Orobitg, Joan
5 Pouliasis, Stamatis
5 Radice, Teresa
5 Yan, Baisheng
5 Yang, Shihai
4 Bowditch, Brian H.
4 Chen, Shaolin
4 Chen, Xingdi
4 Coffman, Adam
4 Conder, Marston D. E.
4 D’Onofrio, Luigi
4 Farroni, Fernando
4 Fässler, Katrin S.
4 Fu, Xi
4 Giannetti, Flavia
4 Gill, James T.
4 Greco, Luigi
4 Haïssinsky, Peter
4 Heinonen, Juha
4 Hitruhin, Lauri
4 Janakiraman, Prabhu
4 Kovtonyuk, D. A.
4 Li, Xiang-Dong
4 Lorent, Andrew
4 Markovic, Vladimir
4 Marshall, Timothy H.
4 Mayer, Volker
4 Molchanova, Anastasia Olegovna
4 Morrison, George
4 Nesmelova, Ol’ga Vladimirovna
4 Okuyama, Yûsuke
4 Passarelli di Napoli, Antonia
4 Perry, Peter A.
4 Popov, Igor’ Yur’evich
4 Prats, Martí
4 Qian, Tao
4 Rasila, Antti
4 Rohde, Steffen
4 Vodop’yanov, Sergeĭ Konstantinovich
4 Xie, Baohua
4 Xu, Haiqing
4 Yuan, Wen
4 Zhang, Chao
...and 862 more Authors
all top 5

Cited in 215 Serials

39 Journal d’Analyse Mathématique
36 Transactions of the American Mathematical Society
35 Proceedings of the American Mathematical Society
32 Conformal Geometry and Dynamics
27 Journal of Mathematical Analysis and Applications
27 Computational Methods and Function Theory
26 The Journal of Geometric Analysis
22 Advances in Mathematics
21 Journal of Functional Analysis
20 Israel Journal of Mathematics
19 Calculus of Variations and Partial Differential Equations
18 Archive for Rational Mechanics and Analysis
17 Mathematische Zeitschrift
17 Journal of Mathematical Sciences (New York)
16 Duke Mathematical Journal
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Potential Analysis
13 Complex Variables and Elliptic Equations
12 Siberian Mathematical Journal
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Acta Mathematica Sinica. English Series
11 Revista Matemática Iberoamericana
10 Geometriae Dedicata
10 Mathematische Annalen
10 Annales Academiae Scientiarum Fennicae. Mathematica
10 Complex Analysis and Operator Theory
9 Acta Mathematica
9 Michigan Mathematical Journal
9 Ergodic Theory and Dynamical Systems
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Bulletin of the Australian Mathematical Society
8 Journal of Differential Equations
7 Mathematical Notes
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Inventiones Mathematicae
7 Journal of the American Mathematical Society
7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
7 Geometry & Topology
6 Linear Algebra and its Applications
6 Journal of the European Mathematical Society (JEMS)
6 Advances in Calculus of Variations
6 Science China. Mathematics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Mathematics of Computation
5 Annales de l’Institut Fourier
5 Archiv der Mathematik
5 Glasgow Mathematical Journal
5 Topology and its Applications
5 Bulletin of the American Mathematical Society. New Series
5 Abstract and Applied Analysis
5 Groups, Geometry, and Dynamics
4 Communications in Mathematical Physics
4 Indian Journal of Pure & Applied Mathematics
4 Ukrainian Mathematical Journal
4 Arkiv för Matematik
4 Applied Mathematics and Computation
4 Publications Mathématiques
4 Integral Equations and Operator Theory
4 Journal of the London Mathematical Society. Second Series
4 Manuscripta Mathematica
4 Monatshefte für Mathematik
4 Proceedings of the Japan Academy. Series A
4 Science in China. Series A
4 Communications in Partial Differential Equations
4 SIAM Journal on Mathematical Analysis
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Discrete and Continuous Dynamical Systems
4 Annals of Mathematics. Second Series
4 Communications in Contemporary Mathematics
4 Central European Journal of Mathematics
4 Journal of Fixed Point Theory and Applications
4 Inverse Problems and Imaging
4 Complex Analysis and its Synergies
4 Annales Fennici Mathematici
3 Nonlinearity
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Czechoslovak Mathematical Journal
3 Osaka Journal of Mathematics
3 Ricerche di Matematica
3 Tohoku Mathematical Journal. Second Series
3 Probability Theory and Related Fields
3 Acta Mathematica Sinica. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 St. Petersburg Mathematical Journal
3 Advances in Applied Clifford Algebras
3 The Journal of Fourier Analysis and Applications
3 Lobachevskii Journal of Mathematics
3 Algebraic & Geometric Topology
3 Communications on Pure and Applied Analysis
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Mediterranean Journal of Mathematics
3 Analysis and Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Rocky Mountain Journal of Mathematics
2 Annales Polonici Mathematici
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
...and 115 more Serials
all top 5

Cited in 53 Fields

575 Functions of a complex variable (30-XX)
196 Partial differential equations (35-XX)
121 Dynamical systems and ergodic theory (37-XX)
104 Group theory and generalizations (20-XX)
97 Functional analysis (46-XX)
93 Manifolds and cell complexes (57-XX)
82 Harmonic analysis on Euclidean spaces (42-XX)
71 Potential theory (31-XX)
69 Differential geometry (53-XX)
64 Global analysis, analysis on manifolds (58-XX)
58 Several complex variables and analytic spaces (32-XX)
57 Real functions (26-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
38 Operator theory (47-XX)
38 Probability theory and stochastic processes (60-XX)
32 Topological groups, Lie groups (22-XX)
25 Measure and integration (28-XX)
24 Geometry (51-XX)
17 General topology (54-XX)
15 Numerical analysis (65-XX)
15 Mechanics of deformable solids (74-XX)
14 Number theory (11-XX)
11 Convex and discrete geometry (52-XX)
11 Quantum theory (81-XX)
8 Approximations and expansions (41-XX)
8 Integral transforms, operational calculus (44-XX)
6 Ordinary differential equations (34-XX)
5 Combinatorics (05-XX)
5 Difference and functional equations (39-XX)
5 Integral equations (45-XX)
5 Fluid mechanics (76-XX)
5 Optics, electromagnetic theory (78-XX)
4 Algebraic geometry (14-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Special functions (33-XX)
3 Abstract harmonic analysis (43-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Geophysics (86-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Sequences, series, summability (40-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

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