宮地 秀樹（Hideki Miyachi）

    研究論文リスト(査読付き)

    [1] Hideki Miyachi. Pluripotential theory on Teichmüller space II -- Poisson integral formula, 2022. To appear in Advances in Mathematics. [ bib | arXiv ]
    [2] Guangming Hu and Hideki Miyachi. Estimates of the Bergman kernel on Teichmüller space. Proc. Amer. Math. Soc., 151(7):2895--2905, 2023. [ bib | DOI | http ]
    [3] Hideki Miyachi, Ken'ichi Ohshika, and Athanase Papadopoulos. Tangent spaces of the Teichmüller space of the torus with Thurston's weak metric. Ann. Fenn. Math., 47(1):325--334, 2022. [ bib | DOI | http ]
    [4] Guangming Hu, Hideki Miyachi, and Yi Qi. Universal commensurability augmented Teichmüller space and moduli space. Ann. Fenn. Math., 46(2):897--907, 2021. [ bib | DOI | http ]
    [5] Hideki Miyachi. Teichmüller theory, Thurston theory, extremal length geometry and complex analysis. In In the tradition of Thurston---geometry and topology, pages 497--526. Springer, Cham, [2020] (c)2020. [ bib | DOI | http ]
    [6] Hideki Miyachi. Pluripotential theory on Teichmüller space I: Pluricomplex Green function. Conform. Geom. Dyn., 23:221--250, 2019. [ bib | DOI | http ]
    [7] Hideki Miyachi and Dragomir Šarić. Convergence of Teichmüller deformations in the universal Teichmüller space. Proc. Amer. Math. Soc., 147(11):4877--4889, 2019. [ bib | DOI | http ]
    [8] Hideki Miyachi. A dynamical approach to the infinitesimal spaces of quasiconformal mappings. Proc. Amer. Math. Soc., 147(1):215--227, 2019. [ bib | DOI | http ]
    [9] Hideki Miyachi. Action at infinity of quasi-isometries on Teichmüller space and the geometry of the Gromov product. In Handbook of group actions. Vol. III, volume 40 of Adv. Lect. Math. (ALM), pages 3--12. Int. Press, Somerville, MA, 2018. [ bib ]
    [10] Hideki Miyachi. Extremal length functions are log-plurisubharmonic. In In the tradition of Ahlfors-Bers. VII, volume 696 of Contemp. Math., pages 225--250. Amer. Math. Soc., Providence, RI, 2017. [ bib | DOI | http ]
    [11] Hideki Miyachi and Ken'ichi Ohshika. Une formule différentielle de la longueur extrémale et ses applications. Ann. Math. Blaise Pascal, 24(1):115--133, 2017. [ bib | http ]
    [12] Hideki Miyachi. Geometry of the Gromov product: geometry at infinity of Teichmüller space. J. Math. Soc. Japan, 69(3):995--1049, 2017. [ bib | DOI | http ]
    [13] Vincent Alberge, Hideki Miyachi, and Ken'ichi Ohshika. Null-set compactifications of Teichmüller spaces. In Handbook of Teichmüller theory. Vol. VI, volume 27 of IRMA Lect. Math. Theor. Phys., pages 71--94. Eur. Math. Soc., Zürich, 2016. [ bib ]
    [14] Hideki Miyachi. A criterion for holomorphic families of Riemann surfaces to be virtually isomorphic. Proc. Japan Acad. Ser. A Math. Sci., 91(10):151--154, 2015. [ bib | DOI | http ]
    [15] Hideki Miyachi. A rigidity theorem for holomorphic disks in Teichmüller space. Proc. Amer. Math. Soc., 143(7):2949--2957, 2015. [ bib | DOI | http ]
    [16] Hideki Miyachi, Ken'ichi Ohshika, and Sumio Yamada. Weil-Petersson Funk metric on Teichmüller space. In Handbook of Hilbert geometry, volume 22 of IRMA Lect. Math. Theor. Phys., pages 339--352. Eur. Math. Soc., Zürich, 2014. [ bib ]
    [17] Hideki Miyachi. Lipschitz algebras and compactifications of Teichmüller space. In Handbook of Teichmüller theory. Vol. IV, volume 19 of IRMA Lect. Math. Theor. Phys., pages 375--413. Eur. Math. Soc., Zürich, 2014. [ bib | DOI | http ]
    [18] Hideki Miyachi. Extremal length geometry. In Handbook of Teichmüller theory. Vol. IV, volume 19 of IRMA Lect. Math. Theor. Phys., pages 197--234. Eur. Math. Soc., Zürich, 2014. [ bib | DOI | http ]
    [19] Hideki Miyachi. Unification of extremal length geometry on Teichmüller space via intersection number. Math. Z., 278(3-4):1065--1095, 2014. [ bib | DOI | http ]
    [20] Hideki Miyachi and Toshihiro Nogi. On extendibility of a map induced by the Bers isomorphism. Proc. Amer. Math. Soc., 142(12):4181--4189, 2014. [ bib | DOI | http ]
    [21] Hideki Miyachi. Spirals and the asymptotic Teichmüller space. Comput. Methods Funct. Theory, 14(2-3):609--622, 2014. [ bib | DOI | http ]
    [22] Hideki Miyachi. Extremal length boundary of the Teichmüller space contains non-Busemann points. Trans. Amer. Math. Soc., 366(10):5409--5430, 2014. [ bib | DOI | http ]
    [23] Hideki Miyachi. A differential formula for extremal length. In In the tradition of Ahlfors-Bers. VI, volume 590 of Contemp. Math., pages 137--152. Amer. Math. Soc., Providence, RI, 2013. [ bib | DOI | http ]
    [24] Hideki Miyachi. Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space II. Geom. Dedicata, 162:283--304, 2013. [ bib | DOI | http ]
    [25] Ryosuke Mineyama and Hideki Miyachi. A characterization of biholomorphic automorphisms of Teichmüller space. Math. Proc. Cambridge Philos. Soc., 154(1):71--83, 2013. [ bib | DOI | http ]
    [26] Hideki Miyachi and Dragomir Šarić. Uniform weak* topology and earthquakes in the hyperbolic plane. Proc. Lond. Math. Soc. (3), 105(6):1123--1148, 2012. [ bib | DOI | http ]
    [27] Hideki Miyachi and Hiroshige Shiga. Holonomies and the slope inequality of Lefschetz fibrations. Proc. Amer. Math. Soc., 139(4):1299--1307, 2011. [ bib | DOI | http ]
    [28] Ken'ichi Ohshika and Hideki Miyachi. Uniform models for the closure of the Riley slice. In In the tradition of Ahlfors-Bers. V, volume 510 of Contemp. Math., pages 249--306. Amer. Math. Soc., Providence, RI, 2010. [ bib | DOI | http ]
    [29] Hideki Miyachi. Quasiarcs and the outside of the asymptotic Teichmüller space. In Infinite dimensional Teichmüller spaces and moduli spaces, RIMS Kôkyûroku Bessatsu, B17, pages 85--103. Res. Inst. Math. Sci. (RIMS), Kyoto, 2010. [ bib ]
    [30] Hideki Miyachi. Image of asymptotic Bers map. J. Math. Soc. Japan, 60(4):1255--1276, 2008. [ bib | http ]
    [31] Hideki Miyachi. Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space. Geom. Dedicata, 137:113--141, 2008. [ bib | DOI | http ]
    [32] Hideki Miyachi. The inner and outer radii of asymptotic Teichmüller spaces. Complex Var. Elliptic Equ., 53(2):139--158, 2008. [ bib | DOI | http ]
    [33] Hideki Miyachi. On Gardiner-Masur boundary of Teichmüller space. In Complex analysis and its applications, volume 2 of OCAMI Stud., pages 295--300. Osaka Munic. Univ. Press, Osaka, 2007. [ bib ]
    [34] Hideki Miyachi. A reduction for asymptotic Teichmüller spaces. Ann. Acad. Sci. Fenn. Math., 32(1):55--71, 2007. [ bib ]
    [35] Hirotaka Akiyoshi, Hideki Miyachi, and Makoto Sakuma. Variations of McShane's identity for punctured surface groups. In Spaces of Kleinian groups, volume 329 of London Math. Soc. Lecture Note Ser., pages 151--185. Cambridge Univ. Press, Cambridge, 2006. [ bib ]
    [36] Hideki Miyachi. Moduli of continuity of Cannon-Thurston maps. In Spaces of Kleinian groups, volume 329 of London Math. Soc. Lecture Note Ser., pages 121--149. Cambridge Univ. Press, Cambridge, 2006. [ bib ]
    [37] Ken'ichi Ohshika and Hideki Miyachi. On topologically tame Kleinian groups with bounded geometry. In Spaces of Kleinian groups, volume 329 of London Math. Soc. Lecture Note Ser., pages 29--48. Cambridge Univ. Press, Cambridge, 2006. [ bib ]
    [38] Hideki Miyachi. On invariant distances on asymptotic Teichmüller spaces. Proc. Amer. Math. Soc., 134(7):1917--1925, 2006. [ bib | DOI | http ]
    [39] Hideki Miyachi. The limit sets of quasifuchsian punctured surface groups and the Teichmüller distances. Kodai Math. J., 28(2):301--309, 2005. [ bib | DOI | http ]
    [40] Hirotaka Akiyoshi, Hideki Miyachi, and Makoto Sakuma. A refinement of McShane's identity for quasifuchsian punctured torus groups. In In the tradition of Ahlfors and Bers, III, volume 355 of Contemp. Math., pages 21--40. Amer. Math. Soc., Providence, RI, 2004. [ bib | DOI | http ]
    [41] Hideki Miyachi. Quasi-arcs in the limit set of a singly degenerate group with bounded geometry. In Kleinian groups and hyperbolic 3-manifolds (Warwick, 2001), volume 299 of London Math. Soc. Lecture Note Ser., pages 131--144. Cambridge Univ. Press, Cambridge, 2003. [ bib | DOI | http ]
    [42] Hideki Miyachi. Cusps in complex boundaries of one-dimensional Teichmüller space. Conform. Geom. Dyn., 7:103--151, 2003. [ bib | DOI | http ]
    [43] Hideki Miyachi. On the horocyclic coordinate for the Teichmüller space of once punctured tori. Proc. Amer. Math. Soc., 130(4):1019--1029, 2002. [ bib | DOI | http ]
    [44] Hideki Miyachi. On the horocyclic coordinate for the Teichmüller space of once punctured tori. volume 2(52), pages 527--532 (2001). 2000. Travaux de la Conférence Internationale d'Analyse Complexe et du 8e Séminaire Roumano-Finlandais (Iassy, 1999). [ bib ]
    [45] Hideki Miyachi. On cusps in the boundary of the Maskit slice for once punctured torus groups. Number 1153, pages 20--28. 2000. Comprehensive research on complex dynamical systems and related fields (Japanese) (Kyoto, 1999). [ bib ]
    [46] Hideki Miyachi. On the area of the complement of the invariant component of certain b-groups and on sequences of terminal regular b-groups. J. Math. Kyoto Univ., 39(3):421--434, 1999. [ bib | DOI | http ]
    [47] Hideki Miyachi. On the existence of certain quadratic differentials on four times punctured spheres and once punctured tori. Kodai Math. J., 22(2):187--207, 1999. [ bib | DOI | http ]
    [48] Hideki Miyachi. Euclidean areas of complementary sets of invariant components of some b-groups and their application. Number 1065, pages 88--105. 1998. Analysis and geometry of hyperbolic spaces (Kyoto, 1997). [ bib ]

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      投稿中の論文・プレプリント・準備中の論文

      1. Athanase Papadopoulos, Ken'ichi Ohshika, Hideki Miyachi,
        Teichmüller Randars metric
        submitted (ArXiv)

      2. Hideki Miyachi,
        The L1-L∞-geometry of Teichmüller space -- Second order infinitesimal structures
        Preprint (ArXiv)

      3. Hideki Miyachi,
        Bounded pluriharmonic functions and holomorphic functions on Teichmüller space
        Preprint (ArXiv)

      4. Athanase Papadopoulos, Ken'ichi Ohshika, Hideki Miyachi,
        On the Teichmüller space of acute triangles
        Preprint (ArXiv)


作成日：2008/04/01