Martin, Gaven; Yao, Cong Topological regularity for solutions to the generalised Hopf equation. (English) Zbl 1519.35047 Complex Anal. Oper. Theory 17, No. 6, Paper No. 91, 11 p. (2023). MSC: 35B65 30C62 35F20 PDFBibTeX XMLCite \textit{G. Martin} and \textit{C. Yao}, Complex Anal. Oper. Theory 17, No. 6, Paper No. 91, 11 p. (2023; Zbl 1519.35047) Full Text: DOI arXiv
Florincescu, Mihai; Martin, Gaven On the Conformal Energy of Quasisymmetric and Quasimöbius Mappings. arXiv:2305.12438 Preprint, arXiv:2305.12438 [math.CV] (2023). MSC: 30C62 BibTeX Cite \textit{M. Florincescu} and \textit{G. Martin}, ``On the Conformal Energy of Quasisymmetric and Quasim\"obius Mappings'', Preprint, arXiv:2305.12438 [math.CV] (2023) Full Text: arXiv OA License
Martin, Gaven J.; Yao, Cong The Teichmüller problem for \(L^p\)-means of distortion. (English) Zbl 1525.30021 Ann. Fenn. Math. 47, No. 2, 1099-1108 (2022). Reviewer: Shengjin Huo (Tianjin) MSC: 30C70 30C62 49J40 32W50 PDFBibTeX XMLCite \textit{G. J. Martin} and \textit{C. Yao}, Ann. Fenn. Math. 47, No. 2, 1099--1108 (2022; Zbl 1525.30021) Full Text: DOI arXiv
Martin, Gaven J.; Yao, Cong Extremal mappings of finite distortion and the Radon-Riesz property. (English) Zbl 1521.30031 Rev. Mat. Iberoam. 38, No. 7, 2057-2068 (2022). Reviewer: Chong Wu (Chengdu) MSC: 30C62 31A05 49J10 PDFBibTeX XMLCite \textit{G. J. Martin} and \textit{C. Yao}, Rev. Mat. Iberoam. 38, No. 7, 2057--2068 (2022; Zbl 1521.30031) Full Text: DOI arXiv
Herron, David A.; Martin, Gaven J. Subharmonic functions, conformal metrics, and CAT(0). (English) Zbl 07503489 Complex Anal. Synerg. 8, No. 1, Paper No. 6, 4 p. (2022). MSC: 30F45 30L99 51F99 30C62 20F65 53A30 53C23 PDFBibTeX XMLCite \textit{D. A. Herron} and \textit{G. J. Martin}, Complex Anal. Synerg. 8, No. 1, Paper No. 6, 4 p. (2022; Zbl 07503489) Full Text: DOI arXiv
Martin, Gaven; Yao, Cong Higher regularity and uniqueness for inner variational equations. (English) Zbl 1490.30014 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 20, 9 p. (2022). Reviewer: Dimitrios Ntalampekos (Stony Brook) MSC: 30C62 31A05 49J10 PDFBibTeX XMLCite \textit{G. Martin} and \textit{C. Yao}, Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 20, 9 p. (2022; Zbl 1490.30014) Full Text: DOI arXiv
Martin, Gaven; Yao, Cong On the uniqueness of extremal mappings of finite distortion. arXiv:2207.05935 Preprint, arXiv:2207.05935 [math.AP] (2022). MSC: 30C62 31A05 49J10 BibTeX Cite \textit{G. Martin} and \textit{C. Yao}, ``On the uniqueness of extremal mappings of finite distortion'', Preprint, arXiv:2207.05935 [math.AP] (2022) Full Text: arXiv OA License
Iwaniec, Tadeusz; Martin, Gaven; Onninen, Jani Energy-minimal principles in geometric function theory. (English) Zbl 1484.30038 N. Z. J. Math. 52, 605-642 (2021). Reviewer: Shengjin Huo (Tianjin) MSC: 30C62 31A05 49J10 PDFBibTeX XMLCite \textit{T. Iwaniec} et al., N. Z. J. Math. 52, 605--642 (2021; Zbl 1484.30038) Full Text: DOI arXiv
Martin, Gaven J. Super regularity for Beltrami systems. (English) Zbl 1482.35090 Ann. Fenn. Math. 46, No. 1, 59-65 (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 35J46 30C62 35B65 PDFBibTeX XMLCite \textit{G. J. Martin}, Ann. Fenn. Math. 46, No. 1, 59--65 (2021; Zbl 1482.35090) Full Text: DOI arXiv
Hinkkanen, Aimo; Martin, Gaven Quasiregular families bounded in \(L^p\) and elliptic estimates. (English) Zbl 1436.30014 J. Geom. Anal. 30, No. 2, 1627-1636 (2020). MSC: 30C62 35J60 PDFBibTeX XMLCite \textit{A. Hinkkanen} and \textit{G. Martin}, J. Geom. Anal. 30, No. 2, 1627--1636 (2020; Zbl 1436.30014) Full Text: DOI arXiv
Martin, Gaven Random lattices, punctured tori and the Teichmüller distribution. (English) Zbl 1479.30013 Proc. Am. Math. Soc. 148, No. 1, 289-300 (2020). Reviewer: Sebastian Hensel (München) MSC: 30C62 20H10 PDFBibTeX XMLCite \textit{G. Martin}, Proc. Am. Math. Soc. 148, No. 1, 289--300 (2020; Zbl 1479.30013) Full Text: DOI arXiv
Klén, Riku; Martin, Gaven Distortion and topology. (English) Zbl 1439.30040 J. Anal. Math. 133, 229-251 (2017). MSC: 30C62 PDFBibTeX XMLCite \textit{R. Klén} and \textit{G. Martin}, J. Anal. Math. 133, 229--251 (2017; Zbl 1439.30040) Full Text: DOI arXiv
Gehring, Frederick W.; Martin, Gaven J.; Palka, Bruce P. An introduction to the theory of higher-dimensional quasiconformal mappings. (English) Zbl 1371.30001 Mathematical Surveys and Monographs 216. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4360-4/hbk; 978-1-4704-4046-6/ebook). ix, 430 p. (2017). Reviewer: Olli Martio (Helsinki) MSC: 30-01 30C65 30C62 PDFBibTeX XMLCite \textit{F. W. Gehring} et al., An introduction to the theory of higher-dimensional quasiconformal mappings. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1371.30001) Full Text: DOI
Martin, Gaven J. Quasicircles as equipotential lines, homotopy classes and geodesics. (English) Zbl 1372.30012 Bull. Lond. Math. Soc. 48, No. 4, 648-656 (2016). Reviewer: Dimitrios Betsakos (Thessaloniki) MSC: 30C62 37F30 30C75 PDFBibTeX XMLCite \textit{G. J. Martin}, Bull. Lond. Math. Soc. 48, No. 4, 648--656 (2016; Zbl 1372.30012) Full Text: DOI arXiv
Martin, Gaven J. Harmonic degree 1 maps are diffeomorphisms: Lewy’s theorem for curved metrics. (English) Zbl 1350.30033 Trans. Am. Math. Soc. 368, No. 1, 647-658 (2016). Reviewer: Yuliang Shen (Suzhou) MSC: 30C62 58E20 53C43 PDFBibTeX XMLCite \textit{G. J. Martin}, Trans. Am. Math. Soc. 368, No. 1, 647--658 (2016; Zbl 1350.30033) Full Text: DOI arXiv
Martin, Gaven J. Stream lines, quasilines and holomorphic motions. (English) Zbl 1344.30019 Complex Anal. Synerg. 1, Paper No. 5, 8 p. (2015). Reviewer: Lammi Päivi (Jyväskylä) MSC: 30C62 37F30 30C75 PDFBibTeX XMLCite \textit{G. J. Martin}, Complex Anal. Synerg. 1, Paper No. 5, 8 p. (2015; Zbl 1344.30019) Full Text: DOI arXiv
Martin, Gaven J. The tension equation with holomorphic coefficients, harmonic mappings and rigidity. (English) Zbl 1325.30022 Complex Var. Elliptic Equ. 60, No. 8, 1159-1167 (2015). Reviewer: Chong Wu (Chengdu) MSC: 30C62 58E20 PDFBibTeX XMLCite \textit{G. J. Martin}, Complex Var. Elliptic Equ. 60, No. 8, 1159--1167 (2015; Zbl 1325.30022) Full Text: DOI arXiv
Martin, Gaven J. The theory of quasiconformal mappings in higher dimensions, I. (English) Zbl 1319.30014 Papadopoulos, Athanase (ed.), Handbook of Teichmüller theory. Volume IV. European Mathematical Society (EMS) (ISBN 978-3-03719-117-0/hbk). IRMA Lectures in Mathematics and Theoretical Physics 19, 619-677 (2014). Reviewer: Olli Martio (Helsinki) MSC: 30C65 30F60 30-02 PDFBibTeX XMLCite \textit{G. J. Martin}, IRMA Lect. Math. Theor. Phys. 19, 619--677 (2014; Zbl 1319.30014) Full Text: arXiv
Iwaniec, Tadeusz; Martin, Gaven; Onninen, Jani On minimisers of \(L^p\)-mean distortion. (English) Zbl 1316.30021 Comput. Methods Funct. Theory 14, No. 2-3, 399-416 (2014). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 30C62 31A05 49J10 PDFBibTeX XMLCite \textit{T. Iwaniec} et al., Comput. Methods Funct. Theory 14, No. 2--3, 399--416 (2014; Zbl 1316.30021) Full Text: DOI
Martin, Gaven J. Fred Gehring’s mathematics. (English) Zbl 1307.30001 Comput. Methods Funct. Theory 14, No. 2-3, 177-193 (2014). MSC: 30-03 35-03 57-03 01A70 30C62 30C65 35J60 57M60 57S30 PDFBibTeX XMLCite \textit{G. J. Martin}, Comput. Methods Funct. Theory 14, No. 2--3, 177--193 (2014; Zbl 1307.30001) Full Text: DOI
Martin, Gaven J. Holomorphic motions and quasicircles. (English) Zbl 1310.30021 Proc. Am. Math. Soc. 141, No. 11, 3911-3918 (2013). Reviewer: Béla Nagy (Szeged) MSC: 30C62 37F30 30C75 PDFBibTeX XMLCite \textit{G. J. Martin}, Proc. Am. Math. Soc. 141, No. 11, 3911--3918 (2013; Zbl 1310.30021) Full Text: DOI
Martin, Gaven J.; McKubre-Jordens, Maarten Deformations with smallest weighted \(L^{p}\) average distortion and Nitsche-type phenomena. (English) Zbl 1294.30049 J. Lond. Math. Soc., II. Ser. 85, No. 2, 282-300 (2012). MSC: 30C75 49J10 31A05 30C62 PDFBibTeX XMLCite \textit{G. J. Martin} and \textit{M. McKubre-Jordens}, J. Lond. Math. Soc., II. Ser. 85, No. 2, 282--300 (2012; Zbl 1294.30049) Full Text: DOI
Bonfert-Taylor, Petra; Martin, Gaven; Reid, Alan W.; Taylor, Edward C. Teichmüller mappings, quasiconformal homogeneity, and non-amenable covers of Riemann surfaces. (English) Zbl 1239.30007 Pure Appl. Math. Q. 7, No. 2, 455-468 (2011). MSC: 30C65 30F60 PDFBibTeX XMLCite \textit{P. Bonfert-Taylor} et al., Pure Appl. Math. Q. 7, No. 2, 455--468 (2011; Zbl 1239.30007) Full Text: DOI
Martin, Gaven J. Quasiregular mappings, curvature & dynamics. (English) Zbl 1235.30019 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1433-1449 (2011). Reviewer: Alastair Fletcher (Coventry) MSC: 30C65 37F10 37F30 30D05 PDFBibTeX XMLCite \textit{G. J. Martin}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1433--1449 (2011; Zbl 1235.30019) Full Text: Link
Astala, K.; Iwaniec, T.; Martin, G. Deformations of annuli with smallest mean distortion. (English) Zbl 1219.30011 Arch. Ration. Mech. Anal. 195, No. 3, 899-921 (2010). Reviewer: Sergey M. Ivashkovich (Villeneuve d’Ascq) MSC: 30C70 PDFBibTeX XMLCite \textit{K. Astala} et al., Arch. Ration. Mech. Anal. 195, No. 3, 899--921 (2010; Zbl 1219.30011) Full Text: DOI
Bonfert-Taylor, Petra; Canary, Richard D.; Martin, Gaven; Taylor, Edward C.; Wolf, Michael Ambient quasiconformal homogeneity of planar domains. (English) Zbl 1198.30017 Ann. Acad. Sci. Fenn., Math. 35, No. 1, 275-283 (2010). Reviewer: Matti Vuorinen (Turku) MSC: 30C62 30F45 PDFBibTeX XMLCite \textit{P. Bonfert-Taylor} et al., Ann. Acad. Sci. Fenn., Math. 35, No. 1, 275--283 (2010; Zbl 1198.30017) Full Text: DOI
Martin, Gaven; Peltonen, Kirsi Stoïlow factorization for quasiregular mappings in all dimensions. (English) Zbl 1190.30020 Proc. Am. Math. Soc. 138, No. 1, 147-151 (2010). Reviewer: Pavel Gumenyuk (Sevilla) MSC: 30C65 30G12 30D05 37F30 PDFBibTeX XMLCite \textit{G. Martin} and \textit{K. Peltonen}, Proc. Am. Math. Soc. 138, No. 1, 147--151 (2010; Zbl 1190.30020) Full Text: DOI
Gong, Jianhua; Martin, Gaven Aspects of quasiconformal homogeneity. (English) Zbl 1233.30014 N. Z. J. Math. 39, 117-132 (2009). Reviewer: Yuming Chu (Zhejiang) MSC: 30C65 30C62 PDFBibTeX XMLCite \textit{J. Gong} and \textit{G. Martin}, N. Z. J. Math. 39, 117--132 (2009; Zbl 1233.30014) Full Text: Link
Martin, Gaven J. The Teichmüller problem for mean distortion. (English) Zbl 1182.30030 Ann. Acad. Sci. Fenn., Math. 34, No. 1, 233-247 (2009). Reviewer: Antti H. Rasila (Helsinki) MSC: 30C62 PDFBibTeX XMLCite \textit{G. J. Martin}, Ann. Acad. Sci. Fenn., Math. 34, No. 1, 233--247 (2009; Zbl 1182.30030)
Astala, Kari; Iwaniec, Tadeusz; Martin, Gaven Elliptic partial differential equations and quasiconformal mappings in the plane. (English) Zbl 1182.30001 Princeton Mathematical Series 48. Princeton, NJ: Princeton University Press (ISBN 978-0-691-13777-3/hbk). xvi, 677 p. (2009). Reviewer: Matti Vuorinen (Turku) MSC: 30-02 35-02 30C62 35J60 30G20 PDFBibTeX XMLCite \textit{K. Astala} et al., Elliptic partial differential equations and quasiconformal mappings in the plane. Princeton, NJ: Princeton University Press (2009; Zbl 1182.30001)
Astala, Kari; Iwaniec, Tadeusz; Martin, Gaven J. Bi-Lipschitz homeomorphisms of the circle and nonlinear Beltrami equations. (English) Zbl 1234.30015 Alvino, Angelo (ed.) et al., On the notions of solution to nonlinear elliptic problems: results and developments. Caserta: Dipartimento di Matematica, Seconda Università di Napoli; Rome: Aracne (ISBN 978-88-548-3032-5/hbk). Quaderni di Matematica 23, 106-115 (2008). Reviewer: Eligiusz Złotkiewicz (Lublin) MSC: 30C62 35J46 PDFBibTeX XMLCite \textit{K. Astala} et al., Quad. Mat. 23, 106--115 (2008; Zbl 1234.30015)
Astala, Kari; Iwaniec, Tadeusz; Martin, Gaven J. Monotone maps of \(\mathbb{R}^n\) are quasiconformal. (English) Zbl 1178.30025 Methods Appl. Anal. 15, No. 1, 31-37 (2008). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30C65 PDFBibTeX XMLCite \textit{K. Astala} et al., Methods Appl. Anal. 15, No. 1, 31--37 (2008; Zbl 1178.30025) Full Text: DOI
Astala, K.; Iwaniec, T.; Martin, G.; Onninen, J. Schottky’s theorem on conformal mappings between annuli: a play of derivatives and integrals. (English) Zbl 1170.30003 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems III. Proceedings of the 3rd conference in honor of the retirement of Dov Aharonov, Lev Aizenberg, Samuel Krushkal, and Uri Srebro, Nahariya, Israel, January 2–6, 2006. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-4150-1/pbk). Contemporary Mathematics 455. Israel Mathematical Conference Proceedings, 35-39 (2008). Reviewer: Eligiusz Złotkiewicz (Lublin) MSC: 30C20 30C62 PDFBibTeX XMLCite \textit{K. Astala} et al., Contemp. Math. 455, 35--39 (2008; Zbl 1170.30003)
Iwaniec, Tadeusz; Martin, Gaven The Beltrami equation. (English) Zbl 1144.30010 Mem. Am. Math. Soc. 893, 92 p. (2008). Reviewer: Matti Vuorinen (Turku) MSC: 30C62 35J15 30-02 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, The Beltrami equation. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1144.30010) Full Text: DOI Link
Bridson, Martin; Hinkkanen, Aimo; Martin, Gaven Quasiregular self-mappings of manifolds and word hyperbolic groups. (English) Zbl 1131.20031 Compos. Math. 143, No. 6, 1613-1622 (2007). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 20F67 30C65 53A35 57M05 PDFBibTeX XMLCite \textit{M. Bridson} et al., Compos. Math. 143, No. 6, 1613--1622 (2007; Zbl 1131.20031) Full Text: DOI
Martin, Gaven J. Minimising mean distortion. (English) Zbl 1103.30009 Miyachi, Akihiko (ed.) et al., Harmonic analysis and its applications. Proceedings of the international conference on harmonic analysis and its applications, Osaka, Japan, November 15–17, 2004. Yokohama: Yokohama Publishers (ISBN 4-946552-20-0/pbk). 33-45 (2006). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 30C62 31B05 31A05 30F15 PDFBibTeX XMLCite \textit{G. J. Martin}, in: Harmonic analysis and its applications. Proceedings of the international conference on harmonic analysis and its applications, Osaka, Japan, November 15--17, 2004. Yokohama: Yokohama Publishers. 33--45 (2006; Zbl 1103.30009)
Hinkkanen, Aimo; Martin, Gaven Limit functions for convergence groups and uniformly quasiregular maps. (English) Zbl 1102.30017 J. Lond. Math. Soc., II. Ser. 73, No. 3, 716-726 (2006). Reviewer: Rainer Brück (Dortmund) MSC: 30C65 37F50 PDFBibTeX XMLCite \textit{A. Hinkkanen} and \textit{G. Martin}, J. Lond. Math. Soc., II. Ser. 73, No. 3, 716--726 (2006; Zbl 1102.30017) Full Text: DOI
Bonfert-Taylor, Petra; Martin, Gaven Quasiconformal groups of compact type. (English) Zbl 1281.30033 Rev. Mat. Iberoam. 21, No. 3, 997-1012 (2005). MSC: 30F40 30C65 57S30 PDFBibTeX XMLCite \textit{P. Bonfert-Taylor} and \textit{G. Martin}, Rev. Mat. Iberoam. 21, No. 3, 997--1012 (2005; Zbl 1281.30033) Full Text: DOI EuDML
Astala, K.; Iwaniec, T.; Martin, G. J.; Onninen, J. Extremal mappings of finite distortion. (English) Zbl 1089.30013 Proc. Lond. Math. Soc., III. Ser. 91, No. 3, 655-702 (2005). Reviewer: Geir Arne Hjelle (Trondheim) MSC: 30C65 35J15 35J70 PDFBibTeX XMLCite \textit{K. Astala} et al., Proc. Lond. Math. Soc. (3) 91, No. 3, 655--702 (2005; Zbl 1089.30013) Full Text: DOI
Bonfert-Taylor, Petra; Canary, Richard D.; Martin, Gaven; Taylor, Edward Quasiconformal homogeneity of hyperbolic manifolds. (English) Zbl 1063.30020 Math. Ann. 331, No. 2, 281-295 (2005). Reviewer: H. P. Dikshit (New Delhi) MSC: 30C65 PDFBibTeX XMLCite \textit{P. Bonfert-Taylor} et al., Math. Ann. 331, No. 2, 281--295 (2005; Zbl 1063.30020) Full Text: DOI
Hinkkanen, Aimo; Martin, Gaven J.; Mayer, Volker Local dynamics of uniformly quasiregular mappings. (English) Zbl 1067.30043 Math. Scand. 95, No. 1, 80-100 (2004). Reviewer: Rainer Brück (Dortmund) MSC: 30C65 37F10 37F30 37F50 PDFBibTeX XMLCite \textit{A. Hinkkanen} et al., Math. Scand. 95, No. 1, 80--100 (2004; Zbl 1067.30043) Full Text: DOI
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C. Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. (English) Zbl 1047.30010 J. Lond. Math. Soc., II. Ser. 67, No. 1, 123-136 (2003). Reviewer: Olli Martio (Helsinki) MSC: 30C65 35J70 PDFBibTeX XMLCite \textit{T. Iwaniec} et al., J. Lond. Math. Soc., II. Ser. 67, No. 1, 123--136 (2003; Zbl 1047.30010) Full Text: DOI
Iwaniec, Tadeusz; Martin, Gaven The geometric analysis of deformations of finite distortion: Future directions and problems. (English) Zbl 1053.30010 Herron, David (ed.), Future trends in geometric function theory. Proceedings of the workshop, Jyväskylä, Finland, June 15–18, 2003. Jyväskylä: Univ. of Jyväskylä, Dept. of Mathematics and Statistics (ISBN 951-39-1615-4/pbk). Rep., Univ. Jyväskylä, Dep. Math. Stat. 92, 119-142 (2003). Reviewer: Bodo Dittmar (Halle) MSC: 30C65 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, Rep., Univ. Jyväskylä, Dep. Math. Stat. 92, 119--142 (2003; Zbl 1053.30010)
Martin, Gaven J.; Mayer, Volker Rigidity in holomorphic and quasiregular dynamics. (English) Zbl 1094.30025 Trans. Am. Math. Soc. 355, No. 11, 4349-4363 (2003). Reviewer: Rainer Brück (Dortmund) MSC: 30C65 37F45 PDFBibTeX XMLCite \textit{G. J. Martin} and \textit{V. Mayer}, Trans. Am. Math. Soc. 355, No. 11, 4349--4363 (2003; Zbl 1094.30025) Full Text: DOI
Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven Mappings of BMO-distortion and Beltrami-type operators. (English) Zbl 1028.30015 J. Anal. Math. 88, 337-381 (2002). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 30C62 42B25 PDFBibTeX XMLCite \textit{T. Iwaniec} et al., J. Anal. Math. 88, 337--381 (2002; Zbl 1028.30015) Full Text: DOI
Martin, Gaven J. Analytic continuation for Beltrami systems, Siegel’s theorem for UQR maps, and the Hilbert-Smith conjecture. (English) Zbl 1013.30016 Math. Ann. 324, No. 2, 329-340 (2002). Reviewer: Erich Hoy (Friedberg) MSC: 30C65 53A04 54F65 PDFBibTeX XMLCite \textit{G. J. Martin}, Math. Ann. 324, No. 2, 329--340 (2002; Zbl 1013.30016) Full Text: DOI
Iwaniec, Tadeusz; Martin, Gaven Squeezing the Sierpiński sponge. (English) Zbl 0992.30010 Stud. Math. 149, No. 2, 133-145 (2002). Reviewer: O.Martio (Helsinki) MSC: 30C65 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, Stud. Math. 149, No. 2, 133--145 (2002; Zbl 0992.30010) Full Text: DOI
Iwaniec, Tadeusz; Martin, Gaven What’s new for the Beltrami equation? (English) Zbl 1129.30015 Isaev, Alexander (ed.) et al., Proceedings of the national research symposium on geometric analysis and applications held in honor of Professor Derek W. Robinson on the occasion of his 65th birthday, Australian National University, Canberra, Australia, June 26–30, 2000. Canberra: Australian National University, Centre for Mathematics and its Applications (ISBN 0-7315-5203-2/pbk). Proc. Cent. Math. Appl. Aust. Natl. Univ. 39, 132-148 (2001). Reviewer: Matti Vuorinen (Turku) MSC: 30C62 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, Proc. Cent. Math. Appl. Aust. Natl. Univ. 39, 132--148 (2001; Zbl 1129.30015)
Astala, K.; Martin, G. J. Holomorphic motions. (English) Zbl 1001.30020 Heinonen, J. (ed.) et al., Papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Jyväskylä: Univ. Jyväskylä, Institut für Mathematik und Statistik. Ber., Univ. Jyväskylä. 83, 27-40 (2001). Reviewer: Dierk Schleicher (München) MSC: 30C62 30F40 37F30 37F45 PDFBibTeX XMLCite \textit{K. Astala} and \textit{G. J. Martin}, in: Papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Jyväskylä: Univ. Jyväskylä, Institut für Mathematik und Statistik. 27--40 (2001; Zbl 1001.30020)
Iwaniec, Tadeusz; Martin, Gaven Geometric function theory and nonlinear analysis. (English) Zbl 1045.30011 Oxford Mathematical Monographs. Oxford: Oxford University Press (ISBN 0-19-850929-4/hbk). xv, 552 p. (2001). Reviewer: Matti Vuorinen (Turku) MSC: 30C65 30-02 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, Geometric function theory and nonlinear analysis. Oxford: Oxford University Press (2001; Zbl 1045.30011) Backlinks: MO
Bonfert-Taylor, Petra; Martin, Gaven Quasiconformal groups with small dilatation. I. (English) Zbl 0984.30023 Proc. Am. Math. Soc. 129, No. 7, 2019-2029 (2001). Reviewer: Li Zhong (Beijing) MSC: 30F40 30C65 20H10 PDFBibTeX XMLCite \textit{P. Bonfert-Taylor} and \textit{G. Martin}, Proc. Am. Math. Soc. 129, No. 7, 2019--2029 (2001; Zbl 0984.30023) Full Text: DOI
Martin, Gaven J. On quasiconformally homogeneous compacta. (English) Zbl 1017.30026 Math. Rep., Bucur. 2(52), No. 4, 497-501 (2000). MSC: 30C65 26A24 53A04 54F65 PDFBibTeX XMLCite \textit{G. J. Martin}, Math. Rep., Buchar. 2(52), No. 4, 497--501 (2000; Zbl 1017.30026)
Astala, Kari; Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven Mappings of \(BMO\)-bounded distortion. (English) Zbl 0954.30009 Math. Ann. 317, No. 4, 703-726 (2000). Reviewer: Martin Chuaqui (Santiago de Chile) MSC: 30C65 PDFBibTeX XMLCite \textit{K. Astala} et al., Math. Ann. 317, No. 4, 703--726 (2000; Zbl 0954.30009) Full Text: DOI
Bargmann, D.; Bonk, M.; Hinkkanen, A.; Martin, G. J. Families of meromorphic functions avoiding continuous functions. (English) Zbl 0981.30024 J. Anal. Math. 79, 379-387 (1999). Reviewer: Rainer Brück (Giessen) MSC: 30D45 30C65 PDFBibTeX XMLCite \textit{D. Bargmann} et al., J. Anal. Math. 79, 379--387 (1999; Zbl 0981.30024) Full Text: DOI
Martin, Gaven J. The Hilbert-Smith conjecture for quasiconformal actions. (English) Zbl 0979.30013 Electron. Res. Announc. Am. Math. Soc. 5, No. 9, 66-70 (1999). MSC: 30C65 PDFBibTeX XMLCite \textit{G. J. Martin}, Electron. Res. Announc. Am. Math. Soc. 5, No. 9, 66--70 (1999; Zbl 0979.30013) Full Text: DOI EuDML
Iwaniec, Tadeusz; Martin, Gaven The Liouville theorem. (English) Zbl 0939.30014 Andreian Cazacu, Cabiria (ed.) et al., Analysis and topology. A volume dedicated to the memory of S. Stoilow. Singapore: World Scientific. 339-361 (1998). Reviewer: O.Martio (Helsinki) MSC: 30C65 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, in: Analysis and topology. A volume dedicated to the memory of S. Stoilow. Singapore: World Scientific. 339--361 (1998; Zbl 0939.30014)
Martin, G. J. The distortion theorem for quasiconformal mappings, Schottky’s theorem and holomorphic motions. (English) Zbl 0870.30017 Proc. Am. Math. Soc. 125, No. 4, 1095-1103 (1997). MSC: 30C65 PDFBibTeX XMLCite \textit{G. J. Martin}, Proc. Am. Math. Soc. 125, No. 4, 1095--1103 (1997; Zbl 0870.30017) Full Text: DOI
Martin, G. J. Branch sets of uniformly quasiregular maps. (English) Zbl 0889.30022 Conform. Geom. Dyn. 1, No. 3, 24-27 (1997). MSC: 30C65 PDFBibTeX XMLCite \textit{G. J. Martin}, Conform. Geom. Dyn. 1, No. 3, 24--27 (1997; Zbl 0889.30022) Full Text: DOI
Iwaniec, Tadeusz; Martin, Gaven Quasiregular semigroups. (English) Zbl 0860.30019 Ann. Acad. Sci. Fenn., Math. 21, No. 2, 241-254 (1996). Reviewer: O.Martio (Helsinki) MSC: 30C65 20M20 30F40 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, Ann. Acad. Sci. Fenn., Math. 21, No. 2, 241--254 (1996; Zbl 0860.30019) Full Text: EuDML EMIS
Hinkkanen, A.; Martin, G. J. On irrational rotations in convergence groups of the 2-sphere. (English) Zbl 0865.30022 Indian J. Math. 36, No. 1, 37-47 (1994). MSC: 30C62 PDFBibTeX XMLCite \textit{A. Hinkkanen} and \textit{G. J. Martin}, Indian J. Math. 36, No. 1, 37--47 (1994; Zbl 0865.30022)
Martin, Gaven J. Measurable conformal mappings in space. (The regularity theory of quasiregular mappings.). (English) Zbl 0876.30024 Martin, Gaven (ed.) et al., Proceedings of the miniconference on analysis and applications, held at the University of Queensland, Brisbane, Australia, September 20-23, 1993. Canberra: Australian National University, Centre for Mathematics and its Applications. Proc. Cent. Math. Appl. Aust. Natl. Univ. 33, 145-165 (1994). Reviewer: M.Vuorinen (Helsinki) MSC: 30C65 35J60 PDFBibTeX XMLCite \textit{G. J. Martin}, Proc. Cent. Math. Appl. Aust. Natl. Univ. 33, 145--165 (1994; Zbl 0876.30024)
Hinkkanen, A.; Martin, G. J. A functional equation arising in the theory of convergence groups. (English) Zbl 0826.39006 N. Z. J. Math. 23, No. 2, 125-135 (1994). Reviewer: B.Ebanks (Louisville) MSC: 39B22 30C62 PDFBibTeX XMLCite \textit{A. Hinkkanen} and \textit{G. J. Martin}, N. Z. J. Math. 23, No. 2, 125--135 (1994; Zbl 0826.39006)
Hinkkanen, A.; Martin, G. J. Abelian nondiscrete convergence groups in the plane. (English) Zbl 0824.30008 Ann. Acad. Sci. Fenn., Ser. A I, Math. 19, No. 2, 205-246 (1994). Reviewer: A.Hinkkanen (Urbana) MSC: 30C62 PDFBibTeX XMLCite \textit{A. Hinkkanen} and \textit{G. J. Martin}, Ann. Acad. Sci. Fenn., Ser. A I, Math. 19, No. 2, 205--246 (1994; Zbl 0824.30008) Full Text: EuDML EMIS
Gauld, D. B.; Martin, G. J. Essential singularities of quasimeromorphic mappings. (English) Zbl 0792.30015 Math. Scand. 73, No. 1, 36-40 (1993). Reviewer: D.B.Gauld MSC: 30C65 PDFBibTeX XMLCite \textit{D. B. Gauld} and \textit{G. J. Martin}, Math. Scand. 73, No. 1, 36--40 (1993; Zbl 0792.30015) Full Text: DOI EuDML
Iwaniec, Tadeusz; Martin, Gaven Quasiregular mappings in even dimensions. (English) Zbl 0785.30008 Acta Math. 170, No. 1, 29-81 (1993). Reviewer: M.Vuorinen (Helsinki) MSC: 30C65 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, Acta Math. 170, No. 1, 29--81 (1993; Zbl 0785.30008) Full Text: DOI
Ferrand, J.; Martin, G. J.; Vuorinen, M. Lipschitz conditions in conformally invariant metrics. (English) Zbl 0758.30018 J. Anal. Math. 56, 187-210 (1991). Reviewer: J.Ferrand (Paris) MSC: 30C65 PDFBibTeX XMLCite \textit{J. Ferrand} et al., J. Anal. Math. 56, 187--210 (1991; Zbl 0758.30018) Full Text: DOI
Iwaniec, Tadeusz; Martin, Gaven Quasiconformal mappings and capacity. (English) Zbl 0752.30009 Indiana Univ. Math. J. 40, No. 1, 101-122 (1991). Reviewer: G.Koskela (Jyväskylä ) MSC: 30C65 30C85 31B15 PDFBibTeX XMLCite \textit{T. Iwaniec} and \textit{G. Martin}, Indiana Univ. Math. J. 40, No. 1, 101--122 (1991; Zbl 0752.30009) Full Text: DOI
Martin, Gaven J.; Tukia, Pekka Convergence and Möbius groups. (English) Zbl 0659.30036 Holomorphic functions and moduli II, Proc. Workshop, Berkeley/Calif. 1986, Publ., Math. Sci. Res. Inst. 11, 113-140 (1988). Reviewer: M.Vuorinen MSC: 30F35 30C62 PDFBibTeX XML
Martin, Gaven J. Quasiconformal actions on domains in space. (English) Zbl 0654.30014 Holomorphic functions and moduli II, Proc. Workshop, Berkeley/Calif. 1986, Publ., Math. Sci. Res. Inst. 11, 87-111 (1988). Reviewer: M.Vuorinen MSC: 30C62 PDFBibTeX XML
Gehring, F. W.; Martin, G. J. Discrete quasiconformal groups. I. (English) Zbl 0628.30027 Proc. Lond. Math. Soc., III. Ser. 55, 331-358 (1987). Reviewer: J.W.Cannon MSC: 30C62 PDFBibTeX XMLCite \textit{F. W. Gehring} and \textit{G. J. Martin}, Proc. Lond. Math. Soc. (3) 55, 331--358 (1987; Zbl 0628.30027) Full Text: DOI Link
Gehring, F. W.; Martin, G. J. Discrete convergence groups. (English) Zbl 0623.30030 Complex analysis I, Proc. Spec. Year, College Park/Md. 1985-86, Lect. Notes Math. 1275, 158-167 (1987). Reviewer: J.W.Cannon MSC: 30C62 20H10 PDFBibTeX XML
Martin, Gaven J. Discrete quasiconformal groups that are not the quasiconformal conjugates of Möbius groups. (English) Zbl 0635.30021 Ann. Acad. Sci. Fenn., Ser. A I, Math. 11, 179-202 (1986). Reviewer: M.Vuorinen MSC: 30C62 PDFBibTeX XMLCite \textit{G. J. Martin}, Ann. Acad. Sci. Fenn., Ser. A I, Math. 11, 179--202 (1986; Zbl 0635.30021) Full Text: DOI
Martin, Gaven J. Quasiconformal and bi-Lipschitz homeomorphisms, uniform domains and the quasihyperbolic metric. (English) Zbl 0584.30020 Trans. Am. Math. Soc. 292, 169-191 (1985). Reviewer: D.Lesley MSC: 30C62 53C22 PDFBibTeX XMLCite \textit{G. J. Martin}, Trans. Am. Math. Soc. 292, 169--191 (1985; Zbl 0584.30020) Full Text: DOI