# zbMATH — the first resource for mathematics

## Matsuzaki, Katsuhiko

Compute Distance To:
 Author ID: matsuzaki.katsuhiko Published as: Matsuzaki, K.; Matsuzaki, Katsuhiko Homepage: http://www.f.waseda.jp/matsuzak/ External Links: ResearchGate
 Documents Indexed: 86 Publications since 1990, including 4 Books
all top 5

#### Co-Authors

 48 single-authored 8 Fujikawa, Ege 4 Yabuki, Yasuhiro 3 Falk, Kurt 3 Jaerisch, Johannes 3 Taniguchi, Masahiko 3 Velling, John A. 2 Rodríguez García, José Manuel 1 Bonfert-Taylor, Petra 1 Kato, Mikio 1 Shiga, Hiroo 1 Stratmann, Bernd O. 1 Sugawa, Toshiyuki 1 Takahashi, Yasuji
all top 5

#### Serials

 6 RIMS Kokyuroku 3 Kodai Mathematical Journal 3 RIMS Kôkyûroku Bessatsu 2 Journal of Mathematics of Kyoto University 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Sūgaku 2 Conformal Geometry and Dynamics 2 Computational Methods and Function Theory 2 Groups, Geometry, and Dynamics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 American Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Complex Variables. Theory and Application 1 The Journal of Geometric Analysis 1 New Zealand Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Science Bulletin of Josai University 1 Acta Mathematica Sinica. English Series 1 Complex Variables and Elliptic Equations 1 Journal of Fractal Geometry 1 Oxford Mathematical Monographs
all top 5

#### Fields

 71 Functions of a complex variable (30-XX) 21 Dynamical systems and ergodic theory (37-XX) 16 Several complex variables and analytic spaces (32-XX) 12 Group theory and generalizations (20-XX) 7 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

46 Publications have been cited 217 times in 147 Documents Cited by Year
Hyperbolic manifolds and Kleinian groups. Zbl 0892.30035
Matsuzaki, Katsuhiko; Taniguchi, Masahiko
1998
A countable Teichmüller modular group. Zbl 1136.30011
Matsuzaki, Katsuhiko
2005
Inclusion relations between the Bers embeddings of Teichmüller spaces. Zbl 1056.30046
Matsuzaki, Katsuhiko
2004
The Patterson-Sullivan measure and proper conjugation for Kleinian groups of divergence type. Zbl 1160.37371
Matsuzaki, Katsuhiko; Yabuki, Yasuhiro
2009
Isoperimetric constants for conservative Fuchsian groups. Zbl 1088.30041
Matsuzaki, Katsuhiko
2005
Large and small covers of a hyperbolic manifold. Zbl 1272.30062
Bonfert-Taylor, Petra; Matsuzaki, Katsuhiko
2012
Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces. Zbl 1134.30036
Matsuzaki, Katsuhiko
2007
The infinite direct product of Dehn twists acting on infinite dimensional Teichmüller spaces. Zbl 1051.30042
Matsuzaki, Katsuhiko
2003
Conservative action of Kleinian groups with respect to the Patterson-Sullivan measure. Zbl 1062.30052
Matsuzaki, Katsuhiko
2002
The Hausdorff dimension of the limit sets of infinitely generated Kleinian groups. Zbl 0947.30034
Matsuzaki, Katsuhiko
2000
Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative. Zbl 1397.30019
Matsuzaki, Katsuhiko
2017
The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group. Zbl 1323.30057
Falk, Kurt; Matsuzaki, Katsuhiko
2015
Twists and Gromov hyperbolicity of Riemann surfaces. Zbl 1218.30125
Matsuzaki, Katsuhiko; Rodríguez, José M.
2011
A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space. Zbl 1111.30023
Matsuzaki, Katsuhiko
2007
Bounded and integrable quadratic differentials: Hyperbolic and extremal lengths on Riemann surfaces. Zbl 0920.30035
Matsuzaki, Katsuhiko
1996
Ergodic properties of discrete groups; inheritance to normal subgroups and invariance under quasiconformal deformations. Zbl 0782.30037
Matsuzaki, Katsuhiko
1993
Circle diffeomorphisms, rigidity of symmetric conjugation and affine foliation of the universal Teichmüller space. Zbl 1387.30064
Matsuzaki, Katsuhiko
2017
Infinite-dimensional Teichmüller spaces and modular groups. Zbl 1311.30023
Matsuzaki, Katsuhiko
2014
The action of elliptic modular transformations on asymptotic Teichmüller spaces. Zbl 1202.30072
Matsuzaki, Katsuhiko
2010
Non-stationary and discontinuous quasiconformal mapping class groups. Zbl 1119.30023
Fujikawa, Ege; Matsuzaki, Katsuhiko
2007
Recurrent and periodic points for isometries of $$L^\infty$$ spaces. Zbl 1097.37005
Fujikawa, Ege; Matsuzaki, Katsuhiko
2006
The Teichmüller space of group invariant symmetric structures on the circle. Zbl 1391.30057
Matsuzaki, Katsuhiko
2017
No proper conjugation for quasiconvex cocompact groups of Gromov hyperbolic spaces. Zbl 1325.20037
Matsuzaki, Katsuhiko; Yabuki, Yasuhiro
2013
Stable quasiconformal mapping class groups and asymptotic Teichmüller spaces. Zbl 1238.30033
Fujikawa, Ege; Matsuzaki, Katsuhiko
2011
Checking atomicity of conformal ending measures for Kleinian groups. Zbl 1218.30121
Falk, Kurt; Matsuzaki, Katsuhiko; Stratmann, Bernd O.
2010
A classification of the modular transformations of infinite dimensional Teichmüller spaces. Zbl 1170.30020
Matsuzaki, Katsuhiko
2007
Notes on projective structures and Kleinian groups. Zbl 0804.30033
Matsuzaki, Katsuhiko; Velling, John A.
1994
A characterization of extended Schottky type groups with a remark to Ahlfors’ conjecture. Zbl 0727.30035
Matsuzaki, Katsuhiko
1991
Injectivity of the quotient Bers embedding of Teichmüller spaces. Zbl 1422.30068
Matsuzaki, Katsuhiko
2019
Dynamics of Teichmüller modular groups and topology of moduli spaces of Riemann surfaces of infinite type. Zbl 1388.30054
Matsuzaki, Katsuhiko
2018
Growth and cogrowth of normal subgroups of a free group. Zbl 06767074
Jaerisch, Johannes; Matsuzaki, Katsuhiko
2017
Uniform convexity, normal structure and the fixed point property of metric spaces. Zbl 1331.54060
Matsuzaki, Katsuhiko
2015
Certain integrability of quasisymmetric automorphisms of the circle. Zbl 1307.30047
Matsuzaki, Katsuhiko
2014
Structure theorem for holomorphic self-covers of Riemann surfaces and its applications. Zbl 1220.30059
Fujikawa, Ege; Matsuzaki, Katsuhiko; Taniguchi, Masahiko
2010
Dynamics on Teichmüller spaces and self-covering of Riemann surfaces. Zbl 1151.37046
Fujikawa, Ege; Matsuzaki, Katsuhiko; Taniguchi, Masahiko
2008
Invariance of the Nayatani metrics for Kleinian manifolds. Zbl 1145.53027
Matsuzaki, Katsuhiko; Yabuki, Yasuhiro
2008
The interior of discrete projective structures in the Bers fiber. Zbl 1114.30046
Matsuzaki, Katsuhiko
2007
Indecomposable continua and the limit sets of Kleinian groups. Zbl 1073.30035
Matsuzaki, Katsuhiko
2004
Convergence of the Hausdorff dimension of the limit sets of Kleinian groups. Zbl 0973.30030
Matsuzaki, Katsuhiko
2000
Introducing two of the Fields Medalists: The work of C. T. McMullen and W. T. Gowers. Zbl 0936.01018
Matsuzaki, Katsuhiko; Takahashi, Yasuji; Katō, Mikio
1999
Dynamical systems of Kleinian groups – the Hausdorff dimensions of limit sets. Zbl 0931.57034
Matsuzaki, Katsuhiko
1999
A remark on the critical exponent of Kleinian groups. Zbl 0938.30552
Matsuzaki, Katsuhiko
1998
The Petersson series for short geodesics. Zbl 0945.30036
Matsuzaki, Katsuhiko
1996
Simply connected invariant domains of Kleinian groups not in the closures of Teichmüller spaces. Zbl 0793.30039
Matsuzaki, Katsuhiko
1993
Geometric finiteness, quasiconformal stability and surjectivity of the Bers map for Kleinian groups. Zbl 0762.30019
Matsuzaki, Katsuhiko
1991
The action at infinity of conservative groups of hyperbolic motions need not have atoms. Zbl 0736.30032
Velling, John A.; Matsuzaki, Katsuhiko
1991
Injectivity of the quotient Bers embedding of Teichmüller spaces. Zbl 1422.30068
Matsuzaki, Katsuhiko
2019
Dynamics of Teichmüller modular groups and topology of moduli spaces of Riemann surfaces of infinite type. Zbl 1388.30054
Matsuzaki, Katsuhiko
2018
Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative. Zbl 1397.30019
Matsuzaki, Katsuhiko
2017
Circle diffeomorphisms, rigidity of symmetric conjugation and affine foliation of the universal Teichmüller space. Zbl 1387.30064
Matsuzaki, Katsuhiko
2017
The Teichmüller space of group invariant symmetric structures on the circle. Zbl 1391.30057
Matsuzaki, Katsuhiko
2017
Growth and cogrowth of normal subgroups of a free group. Zbl 06767074
Jaerisch, Johannes; Matsuzaki, Katsuhiko
2017
The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group. Zbl 1323.30057
Falk, Kurt; Matsuzaki, Katsuhiko
2015
Uniform convexity, normal structure and the fixed point property of metric spaces. Zbl 1331.54060
Matsuzaki, Katsuhiko
2015
Infinite-dimensional Teichmüller spaces and modular groups. Zbl 1311.30023
Matsuzaki, Katsuhiko
2014
Certain integrability of quasisymmetric automorphisms of the circle. Zbl 1307.30047
Matsuzaki, Katsuhiko
2014
No proper conjugation for quasiconvex cocompact groups of Gromov hyperbolic spaces. Zbl 1325.20037
Matsuzaki, Katsuhiko; Yabuki, Yasuhiro
2013
Large and small covers of a hyperbolic manifold. Zbl 1272.30062
Bonfert-Taylor, Petra; Matsuzaki, Katsuhiko
2012
Twists and Gromov hyperbolicity of Riemann surfaces. Zbl 1218.30125
Matsuzaki, Katsuhiko; Rodríguez, José M.
2011
Stable quasiconformal mapping class groups and asymptotic Teichmüller spaces. Zbl 1238.30033
Fujikawa, Ege; Matsuzaki, Katsuhiko
2011
The action of elliptic modular transformations on asymptotic Teichmüller spaces. Zbl 1202.30072
Matsuzaki, Katsuhiko
2010
Checking atomicity of conformal ending measures for Kleinian groups. Zbl 1218.30121
Falk, Kurt; Matsuzaki, Katsuhiko; Stratmann, Bernd O.
2010
Structure theorem for holomorphic self-covers of Riemann surfaces and its applications. Zbl 1220.30059
Fujikawa, Ege; Matsuzaki, Katsuhiko; Taniguchi, Masahiko
2010
The Patterson-Sullivan measure and proper conjugation for Kleinian groups of divergence type. Zbl 1160.37371
Matsuzaki, Katsuhiko; Yabuki, Yasuhiro
2009
Dynamics on Teichmüller spaces and self-covering of Riemann surfaces. Zbl 1151.37046
Fujikawa, Ege; Matsuzaki, Katsuhiko; Taniguchi, Masahiko
2008
Invariance of the Nayatani metrics for Kleinian manifolds. Zbl 1145.53027
Matsuzaki, Katsuhiko; Yabuki, Yasuhiro
2008
Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces. Zbl 1134.30036
Matsuzaki, Katsuhiko
2007
A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space. Zbl 1111.30023
Matsuzaki, Katsuhiko
2007
Non-stationary and discontinuous quasiconformal mapping class groups. Zbl 1119.30023
Fujikawa, Ege; Matsuzaki, Katsuhiko
2007
A classification of the modular transformations of infinite dimensional Teichmüller spaces. Zbl 1170.30020
Matsuzaki, Katsuhiko
2007
The interior of discrete projective structures in the Bers fiber. Zbl 1114.30046
Matsuzaki, Katsuhiko
2007
Recurrent and periodic points for isometries of $$L^\infty$$ spaces. Zbl 1097.37005
Fujikawa, Ege; Matsuzaki, Katsuhiko
2006
A countable Teichmüller modular group. Zbl 1136.30011
Matsuzaki, Katsuhiko
2005
Isoperimetric constants for conservative Fuchsian groups. Zbl 1088.30041
Matsuzaki, Katsuhiko
2005
Inclusion relations between the Bers embeddings of Teichmüller spaces. Zbl 1056.30046
Matsuzaki, Katsuhiko
2004
Indecomposable continua and the limit sets of Kleinian groups. Zbl 1073.30035
Matsuzaki, Katsuhiko
2004
The infinite direct product of Dehn twists acting on infinite dimensional Teichmüller spaces. Zbl 1051.30042
Matsuzaki, Katsuhiko
2003
Conservative action of Kleinian groups with respect to the Patterson-Sullivan measure. Zbl 1062.30052
Matsuzaki, Katsuhiko
2002
The Hausdorff dimension of the limit sets of infinitely generated Kleinian groups. Zbl 0947.30034
Matsuzaki, Katsuhiko
2000
Convergence of the Hausdorff dimension of the limit sets of Kleinian groups. Zbl 0973.30030
Matsuzaki, Katsuhiko
2000
Introducing two of the Fields Medalists: The work of C. T. McMullen and W. T. Gowers. Zbl 0936.01018
Matsuzaki, Katsuhiko; Takahashi, Yasuji; Katō, Mikio
1999
Dynamical systems of Kleinian groups – the Hausdorff dimensions of limit sets. Zbl 0931.57034
Matsuzaki, Katsuhiko
1999
Hyperbolic manifolds and Kleinian groups. Zbl 0892.30035
Matsuzaki, Katsuhiko; Taniguchi, Masahiko
1998
A remark on the critical exponent of Kleinian groups. Zbl 0938.30552
Matsuzaki, Katsuhiko
1998
Bounded and integrable quadratic differentials: Hyperbolic and extremal lengths on Riemann surfaces. Zbl 0920.30035
Matsuzaki, Katsuhiko
1996
The Petersson series for short geodesics. Zbl 0945.30036
Matsuzaki, Katsuhiko
1996
Notes on projective structures and Kleinian groups. Zbl 0804.30033
Matsuzaki, Katsuhiko; Velling, John A.
1994
Ergodic properties of discrete groups; inheritance to normal subgroups and invariance under quasiconformal deformations. Zbl 0782.30037
Matsuzaki, Katsuhiko
1993
Simply connected invariant domains of Kleinian groups not in the closures of Teichmüller spaces. Zbl 0793.30039
Matsuzaki, Katsuhiko
1993
A characterization of extended Schottky type groups with a remark to Ahlfors’ conjecture. Zbl 0727.30035
Matsuzaki, Katsuhiko
1991
Geometric finiteness, quasiconformal stability and surjectivity of the Bers map for Kleinian groups. Zbl 0762.30019
Matsuzaki, Katsuhiko
1991
The action at infinity of conservative groups of hyperbolic motions need not have atoms. Zbl 0736.30032
Velling, John A.; Matsuzaki, Katsuhiko
1991
all top 5

#### Cited by 132 Authors

 23 Matsuzaki, Katsuhiko 7 Fujikawa, Ege 6 Souto, Juan 5 Falk, Kurt 5 Jaerisch, Johannes 5 Miyachi, Hideki 5 Parkkonen, Jouni 5 Rodríguez García, José Manuel 5 Taniguchi, Masahiko 4 Hidalgo, Rubén Antonio 4 Papadopoulos, Athanase 4 Paulin, Frédéric 3 Biringer, Ian 3 Hooper, W. Patrick 3 Ito, Kentaro 3 Liu, Lixin 3 Namazi, Hossein 3 Stratmann, Bernd O. 3 Yabuki, Yasuhiro 2 Anderson, James W. 2 Heydarpour, Majid 2 Hu, Yun 2 Huang, Zheng 2 Kaimanovich, Vadim A. 2 Lazowski, Andrew 2 Lee, Donghi 2 Mejía, Diego Alejandro 2 Pommerenke, Christian 2 Sakuma, Makoto 2 Šarić, Dragomir 2 Shen, Yuliang 2 Sugawa, Toshiyuki 2 Wang, Biao 2 Yao, Guowu 1 Aldrovandi, Ettore 1 Alessandrini, Daniele 1 Arzhantseva, Goulnara N. 1 Asuke, Taro 1 Baba, Shinpei 1 Baker, Mark D. 1 Basmajian, Ara S. 1 Bonfert-Taylor, Petra 1 Brock, Jeffrey F. 1 Buser, Peter 1 Cabrera, Carlos 1 Calegari, Danny Matthew Cornelius 1 Cantón, Alicia 1 Cashen, Christopher H. 1 Charitos, Charalampos 1 Chen, Qiyu 1 Cheng, Lixin 1 Cooper, Daryl 1 Cremaschi, Tommaso 1 Easson, Vivien R. 1 Evans, Richard Allen 1 Evren, Özgür 1 Fraser, Jonathan MacDonald 1 Gardiner, Frederick P. 1 Gekhtman, Ilya 1 Granados, Ana 1 Grigorchuk, Rostislav Ivanovich 1 Hernández, Verónica 1 Heusener, Michael 1 Hong, Sungbok 1 Hu, Jun 1 Irie, Yosuke 1 Izeki, Hiroyasu 1 Jiang, Yunping 1 Kapovich, Michael 1 Kato, Masahide 1 Kawahira, Tomoki 1 Kholodenko, Arkady L. 1 Kim, Inkang 1 Komori, Yohei 1 Kraußhar, Rolf Sören 1 Lecuire, Cyril 1 Levit, Arie 1 Liu, Beibei 1 Lopez, Luis-Miguel 1 Ly, Olivier 1 Maghsoudi, Saeid 1 Makienko, Peter M. 1 Makover, Eran 1 Maloni, Sara 1 Manning, Jason Fox 1 Masters, Joseph D. 1 Matthews, Charles Allen 1 McMullen, Curtis Tracy 1 Mineyama, Ryosuke 1 Minsky, Yair N. 1 Mohammadi, Amir 1 Morosawa, Shunsuke 1 Mützel, Björn 1 Nagnibeda, Tatiana 1 Narbel, Philippe 1 Nogi, Toshihiro 1 Oh, Hee 1 Ohshika, Ken’ichi 1 Papadoperakis, Ioannis 1 Park, Jihoon ...and 32 more Authors
all top 5

#### Cited in 60 Serials

 12 Transactions of the American Mathematical Society 11 Conformal Geometry and Dynamics 8 Proceedings of the American Mathematical Society 8 Geometry & Topology 7 Geometriae Dedicata 7 Computational Methods and Function Theory 5 The Journal of Geometric Analysis 5 Acta Mathematica Sinica. English Series 4 Mathematische Zeitschrift 4 Ergodic Theory and Dynamical Systems 4 Annales Academiae Scientiarum Fennicae. Mathematica 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Duke Mathematical Journal 3 Osaka Journal of Mathematics 3 Tokyo Journal of Mathematics 3 Geometric and Functional Analysis. GAFA 2 Journal of Geometry and Physics 2 Inventiones Mathematicae 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Topology and its Applications 2 Algebraic & Geometric Topology 2 Journal of Topology 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Hiroshima Mathematical Journal 1 Illinois Journal of Mathematics 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Revista Matemática Iberoamericana 1 Information and Computation 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Differential Geometry and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Kyushu Journal of Mathematics 1 Revista Matemática Complutense 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Dynamical Systems and Geometric Theories 1 Complex Variables and Elliptic Equations 1 Groups, Geometry, and Dynamics 1 Transactions of the London Mathematical Society 1 Journal of Fractal Geometry
all top 5

#### Cited in 25 Fields

 102 Functions of a complex variable (30-XX) 43 Manifolds and cell complexes (57-XX) 33 Dynamical systems and ergodic theory (37-XX) 31 Several complex variables and analytic spaces (32-XX) 23 Group theory and generalizations (20-XX) 21 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Number theory (11-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)