Miyachi, Hideki Pluripotential theory on Teichmüller space. II: Poisson integral formula. (English) Zbl 07748448 Adv. Math. 432, Article ID 109265, 64 p. (2023). MSC: 32G05 32G15 32U15 32U35 57M50 26B20 30E20 PDFBibTeX XMLCite \textit{H. Miyachi}, Adv. Math. 432, Article ID 109265, 64 p. (2023; Zbl 07748448) Full Text: DOI arXiv
Miyachi, Hideki Bounded pluriharmonic functions and holomorphic functions on Teichmüller space. arXiv:2312.13535 Preprint, arXiv:2312.13535 [math.CV] (2023). MSC: 32G05 32G15 32U35 57M50 BibTeX Cite \textit{H. Miyachi}, ``Bounded pluriharmonic functions and holomorphic functions on Teichm\"uller space'', Preprint, arXiv:2312.13535 [math.CV] (2023) Full Text: arXiv OA License
Miyachi, Hideki Teichmüller theory, Thurston theory, extremal length geometry and complex analysis. (English) Zbl 1482.30113 Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston. Geometry and topology. Cham: Springer. 497-526 (2020). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, in: In the tradition of Thurston. Geometry and topology. Cham: Springer. 497--526 (2020; Zbl 1482.30113) Full Text: DOI
Miyachi, Hideki Pluripotential theory on Teichmüller space. I: Pluricomplex Green function. (English) Zbl 1472.30018 Conform. Geom. Dyn. 23, 221-250 (2019). Reviewer: Yuliang Shen (Suzhou) MSC: 30F60 32G15 57M50 31B05 32U05 32U35 PDFBibTeX XMLCite \textit{H. Miyachi}, Conform. Geom. Dyn. 23, 221--250 (2019; Zbl 1472.30018) Full Text: DOI arXiv
Miyachi, Hideki A dynamical approach to the infinitesimal spaces of quasiconformal mappings. (English) Zbl 1414.30026 Proc. Am. Math. Soc. 147, No. 1, 215-227 (2019). Reviewer: Olli Martio (Helsinki) MSC: 30C62 54H20 37B35 PDFBibTeX XMLCite \textit{H. Miyachi}, Proc. Am. Math. Soc. 147, No. 1, 215--227 (2019; Zbl 1414.30026) Full Text: DOI
Miyachi, Hideki Action at infinity of quasi-isometries on Teichmüller space and the geometry of the Gromov product. (English) Zbl 1415.30029 Ji, Lizhen (ed.) et al., Handbook of group actions. Volume III. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 40, 3-12 (2018). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, Adv. Lect. Math. (ALM) 40, 3--12 (2018; Zbl 1415.30029)
Miyachi, Hideki Extremal length functions are log-plurisubharmonic. (English) Zbl 1391.32016 Basmajian, Ara S. (ed.) et al., In the tradition of Ahlfors-Bers, VII. Proceedings of the 6th Ahlfors-Bers colloquium, Yale University, New Haven, CT, USA, October 23–26, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2651-4/pbk; 978-1-4704-4198-2/ebook). Contemporary Mathematics 696, 225-250 (2017). MSC: 32G15 30F60 30F45 31C10 PDFBibTeX XMLCite \textit{H. Miyachi}, Contemp. Math. 696, 225--250 (2017; Zbl 1391.32016) Full Text: DOI arXiv
Miyachi, Hideki Geometry of the Gromov product: geometry at infinity of Teichmüller space. (English) Zbl 1378.30018 J. Math. Soc. Japan 69, No. 3, 995-1049 (2017). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, J. Math. Soc. Japan 69, No. 3, 995--1049 (2017; Zbl 1378.30018) Full Text: DOI arXiv Euclid
Miyachi, Hideki A criterion for holomorphic families of Riemann surfaces to be virtually isomorphic. (English) Zbl 1348.30024 Proc. Japan Acad., Ser. A 91, No. 10, 151-154 (2015). Reviewer: V. V. Chueshev (Kemerovo) MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, Proc. Japan Acad., Ser. A 91, No. 10, 151--154 (2015; Zbl 1348.30024) Full Text: DOI Euclid
Miyachi, Hideki A rigidity theorem for holomorphic disks in Teichmüller space. (English) Zbl 1442.32021 Proc. Am. Math. Soc. 143, No. 7, 2949-2957 (2015). MSC: 32G15 32F10 32T15 32E35 PDFBibTeX XMLCite \textit{H. Miyachi}, Proc. Am. Math. Soc. 143, No. 7, 2949--2957 (2015; Zbl 1442.32021) Full Text: DOI arXiv
Miyachi, Hideki Lipschitz algebras and compactifications of Teichmüller space. (English) Zbl 1311.30024 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, 375-413 (2014). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, IRMA Lect. Math. Theor. Phys. 19, 375--413 (2014; Zbl 1311.30024)
Miyachi, Hideki Extremal length geometry. (English) Zbl 1312.30055 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, 197-234 (2014). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, IRMA Lect. Math. Theor. Phys. 19, 197--234 (2014; Zbl 1312.30055)
Miyachi, Hideki Spirals and the asymptotic Teichmüller space. (English) Zbl 1317.30069 Comput. Methods Funct. Theory 14, No. 2-3, 609-622 (2014). MSC: 30F60 32G15 30C62 30C65 PDFBibTeX XMLCite \textit{H. Miyachi}, Comput. Methods Funct. Theory 14, No. 2--3, 609--622 (2014; Zbl 1317.30069) Full Text: DOI
Miyachi, Hideki Unification of extremal length geometry on Teichmüller space via intersection number. (English) Zbl 1308.30054 Math. Z. 278, No. 3-4, 1065-1095 (2014). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 30F60 32G15 31B15 51F99 57M99 20F38 PDFBibTeX XMLCite \textit{H. Miyachi}, Math. Z. 278, No. 3--4, 1065--1095 (2014; Zbl 1308.30054) Full Text: DOI arXiv
Miyachi, Hideki Extremal length boundary of the Teichmüller space contains non-Busemann points. (English) Zbl 1318.32020 Trans. Am. Math. Soc. 366, No. 10, 5409-5430 (2014). Reviewer: Yuliang Shen (Suzhou) MSC: 32G15 30F60 PDFBibTeX XMLCite \textit{H. Miyachi}, Trans. Am. Math. Soc. 366, No. 10, 5409--5430 (2014; Zbl 1318.32020) Full Text: DOI arXiv
Miyachi, Hideki A differential formula for extremal length. (English) Zbl 1351.32022 Hamenstädt, Ursula (ed.) et al., In the tradition of Ahlfors-Bers, VI. Proceedings of the 5th triennial Ahlfors-Bers colloquium, Houston, TX, USA, March 24–27, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7427-1/pbk; 978-1-4704-0941-8/ebook). Contemporary Mathematics 590, 137-152 (2013). Reviewer: Gou Nakamura (Toyota) MSC: 32G15 30F60 53C22 PDFBibTeX XMLCite \textit{H. Miyachi}, Contemp. Math. 590, 137--152 (2013; Zbl 1351.32022) Full Text: DOI
Miyachi, Hideki Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space. II. (English) Zbl 1257.30048 Geom. Dedicata 162, 283-304 (2013). MSC: 30F60 32G15 32F45 57M50 PDFBibTeX XMLCite \textit{H. Miyachi}, Geom. Dedicata 162, 283--304 (2013; Zbl 1257.30048) Full Text: DOI
Miyachi, Hideki Quasiarcs and the outside of the asymptotic Teichmüller space. (English) Zbl 1237.30016 RIMS Kôkyûroku Bessatsu B17, 85-103 (2010). Reviewer: Chaohui Zhang (Atlanta) MSC: 30F60 30C62 32G05 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, RIMS Kôkyûroku Bessatsu B17, 85--103 (2010; Zbl 1237.30016)
Miyachi, Hideki WITHDRAWN: Gardiner-Masur boundary of Teichmuller space : Vanishing subsurfaces and Uniquely ergodic boundary points. arXiv:1002.1982 Preprint, arXiv:1002.1982 [math.GT] (2010); retraction notice ibid. MSC: 30F60 32G15 57M50 BibTeX Cite \textit{H. Miyachi}, ``WITHDRAWN: Gardiner-Masur boundary of Teichmuller space : Vanishing subsurfaces and Uniquely ergodic boundary points'', Preprint, arXiv:1002.1982 [math.GT] (2010); retraction notice ibid. Full Text: arXiv OA License
Miyachi, Hideki Image of asymptotic Bers map. (English) Zbl 1165.30024 J. Math. Soc. Japan 60, No. 4, 1255-1276 (2008). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 30F60 32G15 30C62 30C65 PDFBibTeX XMLCite \textit{H. Miyachi}, J. Math. Soc. Japan 60, No. 4, 1255--1276 (2008; Zbl 1165.30024) Full Text: DOI
Miyachi, Hideki Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space. (English) Zbl 1165.30023 Geom. Dedicata 137, 113-141 (2008). Reviewer: Gabriele Mondello (London) MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, Geom. Dedicata 137, 113--141 (2008; Zbl 1165.30023) Full Text: DOI
Miyachi, Hideki The inner and outer radii of asymptotic Teichmüller spaces. (English) Zbl 1161.30034 Complex Var. Elliptic Equ. 53, No. 2, 139-158 (2008). Reviewer: V. V. Chueshev (Kemerovo) MSC: 30F60 30F30 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, Complex Var. Elliptic Equ. 53, No. 2, 139--158 (2008; Zbl 1161.30034) Full Text: DOI
Miyachi, Hideki On Gardiner-Masur boundary of Teichmüller space. (English) Zbl 1147.30031 Imayoshi, Yoichi (ed.) et al., Complex analysis and applications. Proceedings of the 15th international conference on finite or infinite dimensional complex analysis and applications, Osaka, Japan, July 30–August 3, 2007. Osaka: Osaka Municipal Universities Press (ISBN 978-4-901409-37-7/hbk). OCAMI Studies 2, 295-300 (2007). Reviewer: Mehdi Hassani (Zanjan) MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, OCAMI Stud. 2, 295--300 (2007; Zbl 1147.30031)
Miyachi, Hideki A reduction for asymptotic Teichmüller spaces. (English) Zbl 1116.32007 Ann. Acad. Sci. Fenn., Math. 32, No. 1, 55-71 (2007). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 32G15 30F25 30F60 PDFBibTeX XMLCite \textit{H. Miyachi}, Ann. Acad. Sci. Fenn., Math. 32, No. 1, 55--71 (2007; Zbl 1116.32007) Full Text: EuDML
Miyachi, Hideki Moduli of continuity of Cannon-Thurston maps. (English) Zbl 1098.30032 Minsky, Yair (ed.) et al., Spaces of Kleinian groups. Proceedings of the programme ‘Spaces of Kleinian groups and hyperbolic 3-manifolds’, Cambridge, UK, July 21–August 15, 2003. Cambridge: Cambridge University Press (ISBN 0-521-61797-9/pbk). London Mathematical Society Lecture Note Series 329, 121-149 (2006). MSC: 30F40 57M50 30C20 PDFBibTeX XMLCite \textit{H. Miyachi}, Lond. Math. Soc. Lect. Note Ser. 329, 121--149 (2006; Zbl 1098.30032)
Miyachi, Hideki On invariant distances on asymptotic Teichmüller spaces. (English) Zbl 1090.32003 Proc. Am. Math. Soc. 134, No. 7, 1917-1925 (2006). Reviewer: Gregor Herbort (Wuppertal) MSC: 32F45 32G15 30F60 PDFBibTeX XMLCite \textit{H. Miyachi}, Proc. Am. Math. Soc. 134, No. 7, 1917--1925 (2006; Zbl 1090.32003) Full Text: DOI
Miyachi, Hideki The limit sets of quasifuchsian punctured surface groups and the Teichmüller distances. (English) Zbl 1086.30041 Kodai Math. J. 28, No. 2, 301-309 (2005). Reviewer: Yuliang Shen (Suzhou) MSC: 30F60 PDFBibTeX XMLCite \textit{H. Miyachi}, Kodai Math. J. 28, No. 2, 301--309 (2005; Zbl 1086.30041) Full Text: DOI
Miyachi, Hideki Cusps in complex boundaries of one-dimensional Teichmüller space. (English) Zbl 1054.30041 Conform. Geom. Dyn. 7, 103-151 (2003). Reviewer: Jianming Chang (Changshu) MSC: 30F40 30F60 37F30 37F45 PDFBibTeX XMLCite \textit{H. Miyachi}, Conform. Geom. Dyn. 7, 103--151 (2003; Zbl 1054.30041) Full Text: DOI
Miyachi, Hideki Quasi-arcs in the limit set of a singly degenerate group with bounded geometry. (English) Zbl 1079.20066 Komori, Y. (ed.) et al., Kleinian groups and hyperbolic 3-manifolds. Proceedings of the Warwick workshop, Warwick, UK, September 11–14, 2001. Cambridge: Cambridge University Press (ISBN 0-521-54013-5/pbk). Lond. Math. Soc. Lect. Note Ser. 299, 131-144 (2003). MSC: 20H10 30F40 57M07 57S30 PDFBibTeX XMLCite \textit{H. Miyachi}, Lond. Math. Soc. Lect. Note Ser. 299, 131--144 (2003; Zbl 1079.20066)
Miyachi, Hideki On the horocyclic coordinate for the Teichmüller space of once punctured tori. (English) Zbl 1005.30031 Proc. Am. Math. Soc. 130, No. 4, 1019-1029 (2002). Reviewer: Steffen Timmann (Hannover) MSC: 30F40 32G15 PDFBibTeX XMLCite \textit{H. Miyachi}, Proc. Am. Math. Soc. 130, No. 4, 1019--1029 (2002; Zbl 1005.30031) Full Text: DOI
Miyachi, Hideki On the horocyclic coordinate for the Teichmüller space of once punctured tori. (English) Zbl 1075.30511 Math. Rep., Bucur. 2(52), No. 4, 527-532 (2000). MSC: 30F60 PDFBibTeX XMLCite \textit{H. Miyachi}, Math. Rep., Buchar. 2(52), No. 4, 527--532 (2000; Zbl 1075.30511)
Miyachi, Hideki On cusps in the boundary of the Maskit slice for once punctured torus groups. (English) Zbl 0968.30508 RIMS Kokyuroku 1153, 20-28 (2000). MSC: 30F60 57M99 PDFBibTeX XMLCite \textit{H. Miyachi}, RIMS Kokyuroku 1153, 20--28 (2000; Zbl 0968.30508)
Miyachi, Hideki On the area of the complement of the invariant component of certain \(b\)-groups and on sequences of terminal regular \(b\)-groups. (English) Zbl 0958.30030 J. Math. Kyoto Univ. 39, No. 3, 421-434 (1999). Reviewer: J.W.Cannon (Provo) MSC: 30F40 30F60 PDFBibTeX XMLCite \textit{H. Miyachi}, J. Math. Kyoto Univ. 39, No. 3, 421--434 (1999; Zbl 0958.30030) Full Text: DOI
Miyachi, Hideki On the existence of certain quadratic differentials on four times punctured spheres and once punctured tori. (English) Zbl 0955.30034 Kodai Math. J. 22, No. 2, 187-207 (1999). Reviewer: J.A.Jenkins (St.Louis) MSC: 30F30 30F60 PDFBibTeX XMLCite \textit{H. Miyachi}, Kodai Math. J. 22, No. 2, 187--207 (1999; Zbl 0955.30034) Full Text: DOI
Miyachi, Hideki Euclidean areas of complementary sets of invariant components of some \(b\)-groups and their application. (Japanese) Zbl 0938.30553 RIMS Kokyuroku 1065, 88-105 (1998). MSC: 30F40 PDFBibTeX XMLCite \textit{H. Miyachi}, RIMS Kokyuroku 1065, 88--105 (1998; Zbl 0938.30553)