Recent Papers

K. Matsuzaki, BiLipschitz quasiconformal extensions.
arXiv

H. Wei and K. Matsuzaki, Chordal Loewner chains and Teichmüller spaces on the halfplane.
arXiv

H. Wei and K. Matsuzaki, Parametrization of the pWeilPetersson curves: holomorphic dependence.
arXiv

H. Wei and K. Matsuzaki, Strongly symmetric homeomorphisms on the real line with uniform continuity
Indiana Univ. Math. J.
arXiv

H. Wei and K. Matsuzaki, The pintegrable Teichmüller space for p ≥ 1.
arXiv

H. Wei and K. Matsuzaki, BMO embeddings, chordarc curves, and Riemann mapping parametrization
Adv. Math. 417 (2023) 108933.
arXiv
Link

K. Matsuzaki and H. Wei, Space of chordarc curves and BMO/VMO Teichmüller space
Ann. Fenn. Math. 48 (2023), 2742.
arXiv
Link

H. Wei and K. Matsuzaki, The VMOTeichmüller space and the variant of BeurlingAhlfors extension by heat kernel
Math. Z. 302 (2022), 17391760.
arXiv
Link

H. Wei and K. Matsuzaki, The pWeilPetersson Teichmüller space and the quasiconformal extension of curves
J. Geom. Anal. 32, 213 (2022).
arXiv
Link

H. Wei and K. Matsuzaki, Teichmüller spaces of piecewise symmetric homeomorphisms on the unit circle
Pacific J. Math. 314 (2021), 495514.
arXiv
Link

H. Wei and K. Matsuzaki, BeurlingAhlfors extension by heat kernel, A_{∞} weights for VMO, and vanishing Carleson measures
Bull. London Math. Soc. 53 (2021), 723739.
arXiv
Link

H. Wei and K. Matsuzaki, Symmetric and strongly symmetric homeomorphisms on the real line with nonsymmetric 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), 13331374.
arXiv
Link

K. Falk and K. Matsuzaki, On horospheric limit sets of Kleinian groups
J. Fractal. Geom. 7 (2020), 329350.
arXiv
Link

J. Jaerisch and K. Matsuzaki, Weighted cogrowth formula for free groups
Groups, Geometry, and Dynamics 14 (2020), 349368.
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), 369411.
arXiv
Link

K. Matsuzaki, Rigidity of groups of circle diffeomorphisms and Teichmüller spaces
J. Anal. Math. 40 (2020), 511548.
arXiv
Link

H. Wei and K. Matsuzaki, Teichmüller spaces of generalized symmetric homeomorphisms
Proc. Amer. Math. Soc. Ser. B 7 (2020), 5266.
Link

K. Matsuzaki, Injectivity of the quotient Bers embedding of Teichmüller spaces
Ann. Acad. Sci. Fenn. Math. 44 (2019), 657679.
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), 164.
Preprint
Link

K. Matsuzaki, Growth and cogrowth tightness of Kleinian and hyperbolic groups
Geometry and Analysis of Discrete Groups
and Hyperbolic Spaces, 2136,
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, 145180,
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), 129147.
Link

K. Matsuzaki, The Teichmüller space of
group invariant symmetric structures on the circle
Ann. Acad. Sci. Fenn. Math. 42 (2017), 535550.
Link

J. Jaerisch and K. Matsuzaki, Growth and cogrowth of normal subgroups of a free group
Proc. Amer. Math. Soc. 145 (2017), 41414149.
arXiv
Link

K. Matsuzaki and J. M. Rodriguez, Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity
Math. Nachr. 290 (2017), 10971112.
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, 247252, Trends in Mathematics, Birkhäuser, 2017.
Preprint
Link

K. Matsuzaki and M. Yanagishita, Asymptotic conformality of the barycentric extension of quasiconformal maps
Filomat 31 (2017), 8590.
Link

K. Matsuzaki, The Chabauty and the Thurston topologies on the hyperspace of closed subsets
J. Math. Soc. Japan 69 (2017), 263292.
Preprint
Link

K. Matsuzaki, Uniform convexity, normal structure and the fixed point property of metric spaces
Topology Appl. 196 (2015), part B, 684695.
Preprint
Link

K. Matsuzaki, The universal Teichmüller space and diffeomorphisms of the circle with Hölder continuous derivatives
Handbook of group actions. Vol. I,
333372, 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), 159196.
arXiv
Link

K. Matsuzaki, Infinitedimensional Teichmüller spaces and modular groups
Handbook of Teichmüller theory. Vol. IV,
681716, 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), 487503.
Preprint
Link