Recent Papers

• K. Matsuzaki, Weil-Petersson curves and Dirichlet finite harmonic functions on Riemann surfaces arXiv
  



• K. Matsuzaki, The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class II arXiv
  



• K. Matsuzaki, Simultaneous uniformazation of chord-arc curves and BMO Teichmüller space arXiv
  



• K. Matsuzaki, Integrable Teichmüller spaces for analysis on Weil-Petersson curves Kokyuroku
  



• H. Wei and K. Matsuzaki, Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces arXiv
  



• H. Wei and K. Matsuzaki, Chordal Loewner chains and Teichmüller spaces on the half-plane arXiv
  



• K. Matsuzaki, Bi-Lipschitz quasiconformal extensions
  Complex Geometric Analysis, Springer Proceedings in Mathematics & Statistics 481(2025), 145--160. arXiv Link
  



• K. Matsuzaki, The complex structure of the Teichmüller space of circle diffeomorphisms in the Zygmund smooth class
  J. Math. Anal. Appl. 540 (2024), #128593. arXiv Link
  



• H. Wei and K. Matsuzaki, Strongly symmetric homeomorphisms on the real line with uniform continuity
  Indiana Univ. Math. J. 72 (2023), 1553--1576. arXiv Link
  



• H. Wei and K. Matsuzaki, Parametrization of the p-Weil-Petersson curves: holomorphic dependence
  J. Geom. Anal. 33 (2023) #292. arXiv Link
  



• H. Wei and K. Matsuzaki, The p-integrable Teichmüller space for p ≥ 1
  Proc. Japan. Acad. Ser. A Math. Sci. 99 (2023), 37--42. arXiv Link
  



• H. Wei and K. Matsuzaki, BMO embeddings, chord-arc curves, and Riemann mapping parametrization
  Adv. Math. 417 (2023) #108933. arXiv Link
  



• K. Matsuzaki and H. Wei, Space of chord-arc curves and BMO/VMO Teichmüller space
  Ann. Fenn. Math. 48 (2023), 27--42. arXiv Link
  



• H. Wei and K. Matsuzaki, The VMO-Teichmüller space and the variant of Beurling-Ahlfors extension by heat kernel
  Math. Z. 302 (2022), 1739--1760. arXiv Link
  



• H. Wei and K. Matsuzaki, The p-Weil-Petersson Teichmüller space and the quasiconformal extension of curves
  J. Geom. Anal. 32 (2022) #213. arXiv Link
  



• H. Wei and K. Matsuzaki, Teichmüller spaces of piecewise symmetric homeomorphisms on the unit circle
  Pacific J. Math. 314 (2021), 495--514. arXiv Link
  



• H. Wei and K. Matsuzaki, Beurling-Ahlfors extension by heat kernel, A_∞ -weights for VMO, and vanishing Carleson measures
  Bull. London Math. Soc. 53 (2021), 723--739. arXiv Link
  



• H. Wei and K. Matsuzaki, Symmetric and strongly symmetric homeomorphisms on the real line with non-symmetric inversion
  Anal. Math. Phys. 11, 79 (2021). arXiv Link
  



• K. Matsuzaki, Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives
  Rev. Mat. Iberoam. 36 (2020), 1333--1374. arXiv Link
  



• K. Falk and K. Matsuzaki, On horospheric limit sets of Kleinian groups
  J. Fractal. Geom. 7 (2020), 329--350. arXiv Link
  



• J. Jaerisch and K. Matsuzaki, Weighted cogrowth formula for free groups
  Groups, Geometry, and Dynamics 14 (2020), 349--368. arXiv Link
  



• K. Matsuzaki, Y. Yabuki and J. Jaerisch, Normalizer, divergence type and Patterson measure for discrete groups of the Gromov hyperbolic space
  Groups, Geometry, and Dynamics 14 (2020), 369--411. arXiv Link
  



• K. Matsuzaki, Rigidity of groups of circle diffeomorphisms and Teichmüller spaces
  J. Anal. Math. 40 (2020), 511--548. arXiv Link
  



• H. Wei and K. Matsuzaki, Teichmüller spaces of generalized symmetric homeomorphisms
  Proc. Amer. Math. Soc. Ser. B 7 (2020), 52--66. Link
  



• K. Matsuzaki, Injectivity of the quotient Bers embedding of Teichmüller spaces
  Ann. Acad. Sci. Fenn. Math. 44 (2019), 657--679. Link
  



• K. Matsuzaki, Dynamics of Teichmüller modular groups and topology of moduli spaces of Riemann surfaces of infinite type
  Groups, Geometry, and Dynamics 12 (2018), 1--64. Preprint Link
  



• K. Matsuzaki, Growth and cogrowth tightness of Kleinian and hyperbolic groups
  Geometry and Analysis of Discrete Groups and Hyperbolic Spaces, 21--36, RIMS Kokyuroku Bessatsu B66, Research Institute of Mathematical Sciences, 2017. Preprint Link
  



• K. Matsuzaki, Circle diffeomorphisms, rigidity of symmetric conjugation and affine foliation of the universal Teichmüller space
  Geometry, Dynamics, and Foliations 2013, 145--180, Advanced Studies in Pure Mathematics 72, Mathematical Society of Japan, 2017. Link
  



• K. Matsuzaki, Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative
  Trans. London Math. Soc. 4 (2017), 129--147. Link
  



• K. Matsuzaki, The Teichmüller space of group invariant symmetric structures on the circle
  Ann. Acad. Sci. Fenn. Math. 42 (2017), 535--550. Link
  



• J. Jaerisch and K. Matsuzaki, Growth and cogrowth of normal subgroups of a free group
  Proc. Amer. Math. Soc. 145 (2017), 4141--4149. arXiv Link
  



• K. Matsuzaki and J. M. Rodriguez, Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity
  Math. Nachr. 290 (2017), 1097--1112. Preprint Link
  



• K. Matsuzaki, The hyperbolic metric on the complement of the integer lattice points in the plane
  New Trends in Analysis and Interdisciplinary Applications, 247--252, Trends in Mathematics, Birkhäuser, 2017. Preprint Link
  



• K. Matsuzaki and M. Yanagishita, Asymptotic conformality of the barycentric extension of quasiconformal maps
  Filomat 31 (2017), 85--90. Link
  



• K. Matsuzaki, The Chabauty and the Thurston topologies on the hyperspace of closed subsets
  J. Math. Soc. Japan 69 (2017), 263--292. Preprint Link
  



• K. Matsuzaki, Uniform convexity, normal structure and the fixed point property of metric spaces
  Topology Appl. 196 (2015), part B, 684--695. Preprint Link
  



• K. Matsuzaki, The universal Teichmüller space and diffeomorphisms of the circle with Hölder continuous derivatives
  Handbook of group actions. Vol. I, 333--372, Adv. Lect. Math. (ALM), 31, Int. Press, Somerville, MA, 2015. Preprint Link
  



• K. Falk and K. Matsuzaki, The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group
  Conform. Geom. Dyn. 19 (2015), 159--196. arXiv Link
  



• K. Matsuzaki, Infinite-dimensional Teichmüller spaces and modular groups
  Handbook of Teichmüller theory. Vol. IV, 681--716, IRMA Lect. Math. Theor. Phys., 19, Eur. Math. Soc., Zürich, 2014. Preprint Link
  



• K. Matsuzaki, Certain integrability of quasisymmetric automorphisms of the circle
  Comput. Methods Funct. Theory 14 (2014), 487-503. Preprint Link