松崎 克彦

研究成果

年別の研究成果 1990 2007 2008 2011 2017 2020 2021 2022 2023 2023

• 54 Article

年別の研究成果

年別の研究成果

検索結果

• 2023

  BMO embeddings, chord-arc curves, and Riemann mapping parametrization

  Wei, H. & Matsuzaki, K., 2023 3月 15, In: Advances in Mathematics. 417, 108933.

  研究成果: Article › 査読

  • Chord or secant line 100%
  • Parametrization 90%
  • Arc of a curve 77%
  • Curve 56%
  • BMO Space 41%
  1 被引用数 (Scopus)

• Parametrization of the p-Weil–Petersson Curves: Holomorphic Dependence

  Wei, H. & Matsuzaki, K., 2023 9月, In: Journal of Geometric Analysis. 33, 9, 292.

  研究成果: Article › 査読

  Open Access

  • Holomorphic Curve 100%
  • Parametrization 73%
  • Curve 45%
  • Correspondence 40%
  • Arc length 30%
  1 被引用数 (Scopus)

• The p-integrable Teichmüller space for p > 1

  Wei, H. & Matsuzaki, K., 2023, In: Proceedings of the Japan Academy Series A: Mathematical Sciences. 99, 6, p. 37-42 6 p.

  研究成果: Article › 査読

  Open Access

  • Banach Manifold 100%
  • Complex Manifolds 76%
  • Besov Spaces 74%
  • Homeomorphism 66%
  • Verify 58%
  1 被引用数 (Scopus)
• 2022

  Jännekaarikäyrien avaruus ja Teichmüllerin BMO/VMO-avaruus

  Matsuzaki, K. & Wei, H., 2022, In: Annales Fennici Mathematici. 48, 1, p. 27-42 16 p.

  研究成果: Article › 査読

  Open Access

  • Chord or secant line 100%
  • Arc of a curve 77%
  • Quotient Space 72%
  • Complex Structure 66%
  • Curve 56%
  1 被引用数 (Scopus)

• The p-Weil–Petersson Teichmüller Space and the Quasiconformal Extension of Curves

  Wei, H. & Matsuzaki, K., 2022 8月, In: Journal of Geometric Analysis. 32, 8, 213.

  研究成果: Article › 査読

  Open Access

  • Quasiconformal 100%
  • Curve 49%
  • Besov Spaces 42%
  • Holomorphic Maps 24%
  • Heat Kernel 22%
  6 被引用数 (Scopus)

• The VMO-Teichmüller space and the variant of Beurling–Ahlfors extension by heat kernel

  Wei, H. & Matsuzaki, K., 2022 11月, In: Mathematische Zeitschrift. 302, 3, p. 1739-1760 22 p.

  研究成果: Article › 査読

  Open Access

  • Heat Kernel 100%
  • Banach Manifold 86%
  • Contraction Mapping 35%
  • Complex Manifolds 32%
  • Projection 22%
  3 被引用数 (Scopus)
• 2021

  Beurling–Ahlfors extension by heat kernel, A_∞-weights for VMO, and vanishing Carleson measures

  Wei, H. & Matsuzaki, K., 2021 6月, In: Bulletin of the London Mathematical Society. 53, 3, p. 723-739 17 p.

  研究成果: Article › 査読

  • Carleson Measure 100%
  • Heat Kernel 82%
  • Homeomorphism 70%
  • Dilatation 47%
  • Quasiconformal 46%
  5 被引用数 (Scopus)

• Symmetric and strongly symmetric homeomorphisms on the real line with non-symmetric inversion

  Wei, H. & Matsuzaki, K., 2021 6月, In: Analysis and Mathematical Physics. 11, 2, 79.

  研究成果: Article › 査読

  • harmonic analysis 100%
  • Homeomorphism 67%
  • Real Line 66%
  • Inversion 64%
  • inversions 58%

• Teichmüller Spaces Of Piecewise Symmetric Homeomorphisms On The Unit Circle

  Wei, H. & Matsuzaki, K., 2021, In: Pacific Journal of Mathematics. 314, 2, p. 495-514 20 p.

  研究成果: Article › 査読

  • Unit circle 100%
  • Homeomorphism 95%
  • Universal Space 44%
  • Exceptional Sets 43%
  • Quasiconformal 42%
• 2020

  Normalizer, divergence type, and Patterson measure for discrete groups of the Gromov hyperbolic space

  Matsuzaki, K., Yabuki, Y. & Jaerisch, J., 2020, In: Groups, Geometry, and Dynamics. 14, 2, p. 369-411 43 p.

  研究成果: Article › 査読

  • Hyperbolic Space 89%
  • Discrete Group 89%
  • Divergence 73%
  • Isometry Group 50%
  • Critical Exponents 44%
  2 被引用数 (Scopus)

• On horospheric limit sets of Kleinian groups

  Falk, K. & Matsuzaki, K., 2020, In: Journal of Fractal Geometry. 7, 4, p. 329-350 22 p.

  研究成果: Article › 査読

  • Kleinian Groups 100%
  • Limit Set 86%
  • Normal subgroup 38%
  • Conformal Measure 27%
  • Divergence 16%

• Rigidity of groups of circle diffeomorphisms and teichmüller spaces

  Matsuzaki, K., 2020 3月 1, In: Journal d'Analyse Mathematique. 140, 2, p. 511-548 38 p.

  研究成果: Article › 査読

  • Diffeomorphism 99%
  • Circle 86%
  • Diffeomorphism Group 49%
  • Quasiconformal 43%
  • Conjugation 37%
  6 被引用数 (Scopus)

• Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives

  Matsuzaki, K., 2020 2月 10, In: Revista Matematica Iberoamericana. 36, 5, p. 1333-1374 42 p.

  研究成果: Article › 査読

  • Universal Space 100%
  • Quasiconformal 93%
  • Diffeomorphism 71%
  • Circle 62%
  • Topology 54%
  5 被引用数 (Scopus)

• TEICHMÜLLER SPACES OF GENERALIZED SYMMETRIC HOMEOMORPHISMS

  Wei, H. & Matsuzaki, K., 2020, In: Proceedings of the American Mathematical Society, Series B. 7, p. 52-66 15 p.

  研究成果: Article › 査読

  Open Access

  • Homeomorphism 100%
  • Banach Manifold 37%
  • Schwarzian Derivative 36%
  • Centrobaric 35%
  • Complex Manifolds 28%
  1 被引用数 (Scopus)

• Weighted cogrowth formula for free groups

  Jaerisch, J. & Matsuzaki, K., 2020, In: Groups, Geometry, and Dynamics. 14, 2, p. 349-368 20 p.

  研究成果: Article › 査読

  • Free Group 100%
  • Cayley Graph 54%
  • Exponent 40%
  • Quotient 39%
  • Subgroup 34%
• 2019

  Injectivity of the quotient Bers embedding of Teichmüller spaces

  Matsuzaki, K., 2019, In: Annales Academiae Scientiarum Fennicae Mathematica. 44, 2, p. 657-679 23 p.

  研究成果: Article › 査読

  Open Access

  • Quotient 67%
  • Subspace 62%
  • Universal Space 57%
  • Diffeomorphism 41%
  • Circle 35%
  5 被引用数 (Scopus)
• 2018

  Dynamics of teichmüller modular groups and topology of moduli spaces of Riemann surfaces of infinite type

  Matsuzaki, K., 2018, In: Groups, Geometry, and Dynamics. 12, 1, p. 1-64 64 p.

  研究成果: Article › 査読

  • Modular Group 100%
  • Riemann Surface 82%
  • Moduli Space 78%
  • Topology 60%
  • Geometric object 34%
  2 被引用数 (Scopus)
• 2017

  Asymptotic conformality of the Barycentric extension of quasiconformal maps

  Matsuzaki, K. & Yanagishita, M., 2017, In: Filomat. 31, 1, p. 85-90 6 p.

  研究成果: Article › 査読

  • Quasiconformal Maps 100%
  • Centrobaric 90%
  • Quasiconformal 84%
  • Homeomorphism 64%
  • Dilatation 43%
  5 被引用数 (Scopus)

• Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative

  Matsuzaki, K., 2017 12月 1, In: Transactions of the London Mathematical Society. 4, 1, p. 129-147 19 p.

  研究成果: Article › 査読

  Open Access

  • Centrobaric 100%
  • Diffeomorphism 71%
  • Homeomorphism 70%
  • Circle 61%
  • Derivative 47%
  5 被引用数 (Scopus)

• Growth and cogrowth of normal subgroups of a free group

  Jaerisch, J. & Matsuzaki, K., 2017, In: Proceedings of the American Mathematical Society. 145, 10, p. 4141-4149 9 p.

  研究成果: Article › 査読

  • Normal subgroup 100%
  • Free Group 95%
  • Tend 73%
  • Quotient Graph 71%
  • Planarity 60%
  1 被引用数 (Scopus)

• Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity

  Matsuzaki, K. & Rodríguez, J. M., 2017 5月, In: Mathematische Nachrichten. 290, 7, p. 1097-1112 16 p.

  研究成果: Article › 査読

  • Hyperbolicity 100%
  • Cusp 96%
  • Riemann Surface 87%
  • Euclidean geometry 58%
  • Voronoi Diagram 55%
  2 被引用数 (Scopus)

• The Chabauty and the Thurston topologies on the hyperspace of closed subsets

  Matsuzaki, K., 2017, In: Journal of the Mathematical Society of Japan. 69, 1, p. 263-292 30 p.

  研究成果: Article › 査読

  Open Access

  • Hyperspace 100%
  • Topology 59%
  • Closed 48%
  • Subset 46%
  • Homeomorphism 31%
  1 被引用数 (Scopus)

• The teichmüller space of group invariant symmetric structures on the circle

  Matsuzaki, K., 2017, In: Annales Academiae Scientiarum Fennicae Mathematica. 42, p. 535-550 16 p.

  研究成果: Article › 査読

  Open Access

  • Circle 100%
  • Fuchsian Group 78%
  • Invariant 68%
  • Nonseparable 35%
  • Homeomorphism 28%
  2 被引用数 (Scopus)
• 2015

  The critical exponent, the hausdorff dimension of the limit set and the convex core entropy of a Kleinian group

  Falk, K. & Matsuzaki, K., 2015, In: Conformal Geometry and Dynamics. 19, 8, p. 159-196 38 p.

  研究成果: Article › 査読

  • Kleinian Groups 100%
  • Limit Set 86%
  • Critical Exponents 81%
  • Entropy 61%
  • Box-counting Dimension 36%
  5 被引用数 (Scopus)

• Uniform convexity, normal structure and the fixed point property of metric spaces

  Matsuzaki, K., 2015 12月, In: Topology and its Applications. 196, p. 684-695 12 p.

  研究成果: Article › 査読

  • Normal Structure 100%
  • Uniform Convexity 99%
  • Fixed Point Property 88%
  • Metric space 58%
  • Uniformly Convex 28%
  2 被引用数 (Scopus)
• 2014

  Certain Integrability of Quasisymmetric Automorphisms of the Circle

  Matsuzaki, K., 2014 10月 31, In: Computational Methods and Function Theory. 14, 2-3, p. 487-503 17 p.

  研究成果: Article › 査読

  • Integrability 100%
  • Circle 90%
  • Automorphism 87%
  • Cross ratio 37%
  • Dilatation 34%
  1 被引用数 (Scopus)
• 2013

  An estimate of the maximal dilatations of quasiconformal automorphisms of annuli

  Matsuzaki, K., 2013 7月, In: Complex Variables and Elliptic Equations. 58, 7, p. 923-932 10 p.

  研究成果: Article › 査読

  • Dilatation 100%
  • Quasiconformal 98%
  • Extremal Problems 89%
  • Ring or annulus 86%
  • Automorphism 62%

• The nielsen realization problem for asymptotic teichm̈uller modular groups

  Fujikawa, E. & Matsuzaki, K., 2013, In: Transactions of the American Mathematical Society. 365, 6, p. 3309-3327 19 p.

  研究成果: Article › 査読

  • Modular Group 100%
  • Subgroup 28%
  • Riemann Surface 27%
  • Hyperbolic Surface 17%
  • Quasiconformal 17%
• 2012

  Large and small covers of a hyperbolic manifold

  Bonfert-Taylor, P., Matsuzaki, K. & Taylor, E. C., 2012 4月, In: Journal of Geometric Analysis. 22, 2, p. 455-470 16 p.

  研究成果: Article › 査読

  • Hyperbolic Manifold 100%
  • Exponent 65%
  • Cover 60%
  • Limit Set 31%
  • Kleinian Groups 18%
  7 被引用数 (Scopus)
• 2011

  Polycyclic quasiconformal mapping class subgroups

  Matsuzaki, K., 2011, In: Pacific Journal of Mathematics. 251, 2, p. 361-374 14 p.

  研究成果: Article › 査読

  • Compact-open Topology 100%
  • Quasiconformal Mapping 96%
  • Mapping Class Group 88%
  • Riemann Surface 72%
  • Subgroup 50%

• Stable quasiconformal mapping class groups and asymptotic teichmü ller spaces

  Fujikawa, E. & Matsuzaki, K., 2011 6月, In: American Journal of Mathematics. 133, 3, p. 637-675 39 p.

  研究成果: Article › 査読

  • Quasiconformal Mapping 100%
  • Mapping Class Group 91%
  • Riemann Surface 25%
  • Trivial 20%
  • Coincident 17%
  5 被引用数 (Scopus)

• Twists and Gromov hyperbolicity of riemann surfaces

  Matsuzaki, K. & Rodríguez, J. M., 2011 1月, In: Acta Mathematica Sinica, English Series. 27, 1, p. 29-44 16 p.

  研究成果: Article › 査読

  • Hyperbolicity 100%
  • Riemann Surface 87%
  • Quasiconformal Maps 65%
  • Closed Geodesics 56%
  • Metric 29%
  4 被引用数 (Scopus)
• 2010

  Checking atomicity of conformal ending measures for kleinian groups

  Falk, K., Matsuzaki, K. & Stratmann, B. O., 2010, In: Conformal Geometry and Dynamics. 14, p. 167-183 17 p.

  研究成果: Article › 査読

  Open Access

  • Atomicity 100%
  • Conformal Measure 94%
  • Kleinian Groups 84%
  • Limit Set 24%
  • Fixed point 15%
  5 被引用数 (Scopus)
• 2009

  The Patterson-Sullivan measure and proper conjugation for Kleinian groups of divergence type

  Matsuzaki, K. & Yabuki, Y., 2009 4月 1, In: Ergodic Theory and Dynamical Systems. 29, 2, p. 657-665 9 p.

  研究成果: Article › 査読

  • Kleinian Groups 100%
  • Conjugation 80%
  • Divergence 67%
  • Automorphism 39%
  • Discrete Subgroup 32%
  10 被引用数 (Scopus)
• 2008

  Dynamics on teichmüller spaces and self-covering of riemann surfaces

  Fujikawa, E., Matsuzaki, K. & Taniguchi, M., 2008 12月, In: Mathematische Zeitschrift. 260, 4, p. 865-888 24 p.

  研究成果: Article › 査読

  • Riemann Surface 100%
  • Cover 76%
  • Quasiconformal 42%
  • Tangent Bundle 38%
  • Structure Theorem 37%
  1 被引用数 (Scopus)

• Invariance of the Nayatani metrics for Kleinian manifolds

  Matsuzaki, K. & Yabuki, Y., 2008 8月, In: Geometriae Dedicata. 135, 1, p. 147-155 9 p.

  研究成果: Article › 査読

  • Kleinian Groups 100%
  • Invariance 66%
  • Conformal Transformation 50%
  • Metric 50%
  • Isometry Group 45%
  2 被引用数 (Scopus)

• On quasiconformal invariance of convergence and divergence types for Fuchsian groups

  Matsuzaki, K., 2008, In: Illinois Journal of Mathematics. 52, 4, p. 1249-1258 10 p.

  研究成果: Article › 査読

  Open Access

  • Fuchsian Group 100%
  • Quasiconformal 95%
  • Divergence 69%
  • Invariance 68%
  • Critical Exponents 28%
• 2007

  A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space

  Matsuzaki, K., 2007 8月, In: Proceedings of the American Mathematical Society. 135, 8, p. 2573-2579 7 p.

  研究成果: Article › 査読

  • Quasiconformal Mapping 100%
  • Mapping Class Group 91%
  • Riemann Surface 37%
  4 被引用数 (Scopus)

• Non-stationary and discontinuous quasiconformal mapping class groups

  Fujikawa, E. & Matsuzaki, K., 2007 3月 1, In: Osaka Journal of Mathematics. 44, 1, p. 173-185 13 p.

  研究成果: Article › 査読

  • Quasiconformal Mapping 100%
  • Mapping Class Group 91%
  • Riemann Surface 75%
  • Subgroup 26%
  3 被引用数 (Scopus)

• Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces

  Matsuzaki, K., 2007 8月 1, In: Journal d'Analyse Mathematique. 102, 1, p. 1-28 28 p.

  研究成果: Article › 査読

  • Quasiconformal Mapping 100%
  • Mapping Class Group 91%
  • Riemann Surface 75%
  • Common Fixed Point 75%
  • Fiber 67%
  6 被引用数 (Scopus)

• The interior of discrete projective structures in the Bers fiber

  Matsuzaki, K., 2007 12月 1, In: Annales Academiae Scientiarum Fennicae Mathematica. 32, 1, p. 3-12 10 p.

  研究成果: Article › 査読

  • Projective Structure 100%
  • Fiber 61%
  • Interior 58%
  • Holonomy 27%
  • Complex Structure 25%
  1 被引用数 (Scopus)
• 2006

  Recurrent and periodic points for isometries of L^∞ spaces

  Fujikawa, E. & Matsuzaki, K., 2006, In: Indiana University Mathematics Journal. 55, 3, p. 975-997 23 p.

  研究成果: Article › 査読

  • Recurrent Point 100%
  • L-space 91%
  • Periodic Points 75%
  • Isometry 65%
  • Modular Group 27%
  4 被引用数 (Scopus)
• 2005

  A countable Teichmüller modular group

  Matsuzaki, K., 2005 8月, In: Transactions of the American Mathematical Society. 357, 8, p. 3119-3131 13 p.

  研究成果: Article › 査読

  • Modular Group 100%
  • Riemann Surface 82%
  • Countable 69%
  13 被引用数 (Scopus)

• Isoperimetric constants for conservative fuchsian groups

  Matsuzaki, K., 2005, In: Kodai Mathematical Journal. 28, 2, p. 292-300 9 p.

  研究成果: Article › 査読

  Open Access

  • Fuchsian Group 100%
  • Isoperimetric 93%
  • Critical Exponents 56%
  • Hyperbolic Surface 32%
  • Converge 16%
  9 被引用数 (Scopus)
• 2004

  Inclusion relations between the Bers embeddings of Teichmüller spaces

  Matsuzaki, K., 2004, In: Israel Journal of Mathematics. 140, p. 113-123 11 p.

  研究成果: Article › 査読

  • Fuchsian Group 100%
  • Inclusion Relations 93%
  • Coincident 51%
  13 被引用数 (Scopus)
• 2003

  The Infinite Direct Product of Dehn Twists Acting on Infinite Dimensional Teichmuller Spaces

  Matsuzaki, K., 2003, In: Kodai Mathematical Journal. 26, 3, p. 279-287 9 p.

  研究成果: Article › 査読

  Open Access
  7 被引用数 (Scopus)
• 2000

  The Hausdorff dimension of the limit sets of infinitely generated Kleinian groups

  Matsuzaki, K., 2000 1月, In: Mathematical Proceedings of the Cambridge Philosophical Society. 128, 1, p. 123-139 17 p.

  研究成果: Article › 査読

  • Kleinian Groups 100%
  • Limit Set 86%
  • Discrete Subgroup 48%
  • Isometry 35%
  7 被引用数 (Scopus)
• 1997

  Structural stability of Kleinian groups

  Matsuzaki, K., 1997, In: Michigan Mathematical Journal. 44, 1, p. 21-36 16 p.

  研究成果: Article › 査読

  Open Access
  1 被引用数 (Scopus)
• 1996

  Conformal conjugation of Fuchsian groups from the first kind to the second kind

  Matsuzaki, K. & Shiga, H., 1996 12月 1, In: Journal fur die Reine und Angewandte Mathematik. 476, p. 191-200 10 p.

  研究成果: Article › 査読
  1 被引用数 (Scopus)
• 1995

  Projective structures inducing covering maps

  Matsuzaki, K., 1995, In: Duke Mathematical Journal. 78, 2, p. 413-425 13 p.

  研究成果: Article › 査読
  1 被引用数 (Scopus)