Concurrent Post
-
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Details of a Researcher
Updated on 2022/05/21
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Kyoto University Graduate School, Division of Natural Science
Kyoto University Faculty of Science
1992.03 京都大学博士(理学)
Waseda University Faculty of Education and Integrated Arts and Sciences
岡山大学自然科学研究科教授
Ochanomizu University Faculty of Science
Ochanomizu University Faculty of Science
Tokyo Institute of Technology School of Science
日本数学会
Geometry
Basic analysis
複素解析学
Hyperbolic Geometry
TEICHMULLER SPACES OF PIECEWISE SYMMETRIC HOMEOMORPHISMS ON THE UNIT CIRCLE
Huaying Wei, Katsuhiko Matsuzaki
PACIFIC JOURNAL OF MATHEMATICS 314 ( 2 ) 495 - 514 2021.10
Symmetric and strongly symmetric homeomorphisms on the real line with non-symmetric inversion
Huaying Wei, Katsuhiko Matsuzaki
Analysis and Mathematical Physics 11 ( 2 ) 2021.06
Beurling–Ahlfors extension by heat kernel, A<inf>∞</inf>-weights for VMO, and vanishing Carleson measures
Huaying Wei, Katsuhiko Matsuzaki
Bulletin of the London Mathematical Society 53 ( 3 ) 723 - 739 2021.06
Teichmüller spaces of generalized symmetric homeomorphisms
Huaying Wei, Katsuhiko Matsuzaki
Proc. Amer. Math. Soc. Ser. B 7 52 - 66 2020.05 [Refereed]
Rigidity of groups of circle diffeomorphisms and teichmüller spaces
Katsuhiko Matsuzaki
Journal d'Analyse Mathematique 140 ( 2 ) 511 - 548 2020.03 [Refereed]
Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives
Katsuhiko Matsuzaki
Revista Matematica Iberoamericana 36 ( 5 ) 1333 - 1374 2020.02 [Refereed]
Normalizer, divergence type, and Patterson measure for discrete groups of the Gromov hyperbolic space
Katsuhiko Matsuzaki, Yasuhiro Yabuki, Johannes Jaerisch
Groups, Geometry, and Dynamics 14 ( 2 ) 369 - 411 2020 [Refereed]
Weighted cogrowth formula for free groups
Johannes Jaerisch, Katsuhiko Matsuzaki
Groups, Geometry, and Dynamics 14 ( 2 ) 349 - 368 2020 [Refereed]
On horospheric limit sets of Kleinian groups
Kurt Falk, Katsuhiko Matsuzaki
Journal of Fractal Geometry 7 ( 4 ) 329 - 350 2020 [Refereed]
Injectivity of the quotient Bers embedding of Teichmüller spaces
Katsuhiko Matsuzaki
Annales Academiae Scientiarum Fennicae Mathematica 44 ( 2 ) 657 - 679 2019 [Refereed]
Dynamics of teichmüller modular groups and topology of moduli spaces of Riemann surfaces of infinite type
Katsuhiko Matsuzaki
Groups, Geometry, and Dynamics 12 ( 1 ) 1 - 64 2018 [Refereed]
Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative
Katsuhiko Matsuzaki
Transactions of the London Mathematical Society 4 ( 1 ) 129 - 147 2017.12 [Refereed]
Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity
Katsuhiko Matsuzaki, José M. Rodríguez
Mathematische Nachrichten 290 ( 7 ) 1097 - 1112 2017.05 [Refereed]
The Hyperbolic Metric on the Complement of the Integer Lattice Points in the Plane
Matsuzaki Katsuhiko
NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS 247 - 252 2017 [Refereed]
The teichmüller space of group invariant symmetric structures on the circle
Katsuhiko Matsuzaki
Annales Academiae Scientiarum Fennicae Mathematica 42 ( 2 ) 535 - 550 2017 [Refereed]
The Chabauty and the Thurston topologies on the hyperspace of closed subsets
Katsuhiko Matsuzaki
Journal of the Mathematical Society of Japan 69 ( 1 ) 263 - 292 2017 [Refereed]
Asymptotic conformality of the Barycentric extension of quasiconformal maps
Katsuhiko Matsuzaki, Masahiro Yanagishita
Filomat 31 ( 1 ) 85 - 90 2017 [Refereed]
Growth and cogrowth of normal subgroups of a free group
Johannes Jaerisch, Katsuhiko Matsuzaki
Proceedings of the American Mathematical Society 145 ( 10 ) 4141 - 4149 2017 [Refereed]
Uniform convexity, normal structure and the fixed point property of metric spaces
Katsuhiko Matsuzaki
Topology and its Applications 196 684 - 695 2015.12 [Refereed]
Kurt Falk, Katsuhiko Matsuzaki
Conformal Geometry and Dynamics 19 ( 8 ) 159 - 196 2015 [Refereed]
Certain Integrability of Quasisymmetric Automorphisms of the Circle
Katsuhiko Matsuzaki
Computational Methods and Function Theory 14 ( 2-3 ) 487 - 503 2014.10 [Refereed]
An estimate of the maximal dilatations of quasiconformal automorphisms of annuli
Katsuhiko Matsuzaki
Complex Variables and Elliptic Equations 58 ( 7 ) 923 - 932 2013.07 [Refereed]
Non-divergent infinitely discrete Teichmüller modular transformation
E. Fujikawa, K. Matsuzaki
Topics in finite or infinite dimensional complex analysis, Tohoku Univ. Press 97 - 102 2013 [Refereed]
No proper conjugation for quasiconvex cocompact groups of Gromov hyperbolic spaces
Katsuhiko Matsuzaki, Yasuhiro Yabuki
IN THE TRADITION OF AHLFORS-BERS, VI 590 125 - 136 2013 [Refereed]
The nielsen realization problem for asymptotic teichm̈uller modular groups
Ege Fujikawa, Katsuhiko Matsuzaki
Transactions of the American Mathematical Society 365 ( 6 ) 3309 - 3327 2013 [Refereed]
Large and small covers of a hyperbolic manifold
Petra Bonfert-Taylor, Katsuhiko Matsuzaki, Edward C. Taylor
Journal of Geometric Analysis 22 ( 2 ) 455 - 470 2012.04 [Refereed]
The Petersson series vanishes at infinity
Katsuhiko Matsuzaki
QUASICONFORMAL MAPPINGS, RIEMANN SURFACES, AND TEICHMULLER SPACES 575 299 - 311 2012 [Refereed]
Stable quasiconformal mapping class groups and asymptotic teichmü ller spaces
Ege Fujikawa, Katsuhiko Matsuzaki
American Journal of Mathematics 133 ( 3 ) 637 - 675 2011.06 [Refereed]
Polycyclic quasiconformal mapping class subgroups
Katsuhiko Matsuzaki
Pacific Journal of Mathematics 251 ( 2 ) 361 - 374 2011 [Refereed]
Twists and Gromov hyperbolicity of riemann surfaces
Katsuhiko Matsuzaki, José M. Rodríguez
Acta Mathematica Sinica, English Series 27 ( 1 ) 29 - 44 2011.01 [Refereed]
Checking atomicity of conformal ending measures for kleinian groups
Kurt Falk, Katsuhiko Matsuzaki, Bernd O. Stratmann
Conformal Geometry and Dynamics 3 ( 8 ) 116 - 150 2010.06 [Refereed]
The action of elliptic modular transformations on asymptotic Teichmüller spaces
Katsuhiko Matsuzaki
Teichmüller Theory and Moduli Problem, Ramanujan Math. Soc. Lecture Notes Series 10 481 - 488 2010 [Refereed] [Invited]
Symmetric groups that are not the symmetric conjugates of Fuchsian groups
Katsuhiko Matsuzaki
IN THE TRADITION OF AHLFORS-BERS, V 510 239 - 247 2010 [Refereed]
The Patterson-Sullivan measure and proper conjugation for Kleinian groups of divergence type
Katsuhiko Matsuzaki, Yasuhiro Yabuki
Ergodic Theory and Dynamical Systems 29 ( 2 ) 657 - 665 2009.04 [Refereed]
Dynamics on teichmüller spaces and self-covering of riemann surfaces
Ege Fujikawa, Katsuhiko Matsuzaki, Masahiko Taniguchi
Mathematische Zeitschrift 260 ( 4 ) 865 - 888 2008.12 [Refereed]
Invariance of the Nayatani metrics for Kleinian manifolds
Katsuhiko Matsuzaki, Yasuhiro Yabuki
Geometriae Dedicata 135 ( 1 ) 147 - 155 2008.08 [Refereed]
Elliptic quasiconformal mapping classes acting on asymptotic Teichmüller spaces
E. Fujikawa, K. Matsuzaki
Complex Analysis and its Applications, Proceedings of the 15th ICFIDCAA at Osaka City University, OCAMI Studies 2 169 - 173 2008 [Refereed]
On quasiconformal invariance of convergence and divergence types for Fuchsian groups
Katsuhiko Matsuzaki
Illinois Journal of Mathematics 52 ( 4 ) 1249 - 1258 2008 [Refereed]
Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces
Katsuhiko Matsuzaki
Journal d'Analyse Mathematique 102 ( 1 ) 1 - 28 2007.08 [Refereed]
A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space
Katsuhiko Matsuzaki
Proceedings of the American Mathematical Society 135 ( 8 ) 2573 - 2579 2007.08 [Refereed]
Non-stationary and discontinuous quasiconformal mapping class groups
Ege Fujikawa, Katsuhiko Matsuzaki
Osaka Journal of Mathematics 44 ( 1 ) 173 - 185 2007.03 [Refereed]
The interior of discrete projective structures in the Bers fiber
Katsuhiko Matsuzaki
Annales Academiae Scientiarum Fennicae Mathematica 32 ( 1 ) 3 - 12 2007 [Refereed]
A classification of the modular transformations of infinite dimensional Teichmuller spaces
Katsuhiko Matsuzaki
In the Tradition of Ahlfors-Bers, IV 432 167 - 177 2007 [Refereed]
Recurrent and periodic points for isometries of L∞ spaces
Ege Fujikawa, Katsuhiko Matsuzaki
Indiana University Mathematics Journal 55 ( 3 ) 975 - 997 2006 [Refereed]
A countable Teichmüller modular group
Katsuhiko Matsuzaki
Transactions of the American Mathematical Society 357 ( 8 ) 3119 - 3131 2005.08 [Refereed]
Isoperimetric constants for conservative fuchsian groups
Katsuhiko Matsuzaki
Kodai Mathematical Journal 28 ( 2 ) 292 - 300 2005 [Refereed]
Indecomposable continua and the limit sets of Kleinian groups
Katsuhiko Matsuzaki
In the tradition of Ahlfors and Bers, III, Contemporary Math. 355 321 - 332 2004 [Refereed]
Inclusion relations between the Bers embeddings of Teichmüller spaces
Katsuhiko Matsuzaki
Israel Journal of Mathematics 140 113 - 123 2004 [Refereed]
The Infinite Direct Product of Dehn Twists Acting on Infinite Dimensional Teichmuller Spaces
Katsuhiko Matsuzaki
Kodai Mathematical Journal 26 ( 3 ) 279 - 287 2003 [Refereed]
Conservative action of Kleinian groups with respect to the Patterson-Sullivan measure
Katsuhiko Matsuzaki
Computational Methods and Function Theory 2 469 - 479 2002 [Refereed]
Simply connected domains on a hyperbolic surface
Katsuhiko Matsuzaki
New Zealand Journal of Mathematics 31 159 - 164 2002 [Refereed]
Dynamics of Kleinian groups --- the Hausdorff dimesion of limit sets
Katsuhiko Matsuzaki
Selected papers on classical analysis, AMS Translations 204 23 - 44 2001 [Refereed] [Invited]
Convergence of the Hausdorff dimension of the limit sets of Kleinian groups
Katsuhiko Matsuzaki
In the tradition of Ahlfors and Bers, Contemporary Math. 256 243 - 254 2000 [Refereed]
The Hausdorff dimension of the limit sets of infinitely generated Kleinian groups
Katsuhiko Matsuzaki
Mathematical Proceedings of the Cambridge Philosophical Society 128 ( 1 ) 123 - 139 2000.01 [Refereed]
The isomorphism theorem of Kleinian groups
Katsuhiko Matsuzaki
Analysis and Topology, World Scientific 507 - 513 1998 [Refereed]
Structural stability of Kleinian groups
K Matsuzaki
MICHIGAN MATHEMATICAL JOURNAL 44 ( 1 ) 21 - 36 1997 [Refereed]
The Petersson series for short geodesics
Katsuhiko Matsuzaki
Proceedings of the XVI Rolf Nevanlinna Colloquium, Walter de Gruyter 143 - 150 1996 [Refereed]
Bounded and integrable quadratic differentials: hyperbolic and extremal lengths on Riemann surfaces
Katsuhiko Matsuzaki
Geometric Complex Analysis, World Scientific 443 - 450 1996 [Refereed] [Invited]
Conformal conjugation of Fuchsian groups from the first kind to the second kind
K Matsuzaki, H Shiga
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 476 ( 476 ) 191 - 200 1996 [Refereed]
TEICHMULLER-SPACES WITH VARIABLE BASES IN THE UNIVERSAL TEICHMULLER SPACE
K MATSUZAKI
ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 20 ( 1 ) 27 - 36 1995 [Refereed]
The conservative-dissipative dichotomy for geometric covers of Riemann surfaces
Katsuhiko Matsuzaki
Revue Roumaine de Mathématiques Pures et Appliquées 40 77 - 80 1995 [Refereed]
Projective structures inducing covering maps
Katsuhiko Matsuzaki
Duke Mathematical Journal 78 ( 2 ) 413 - 425 1995 [Refereed]
NOTES ON PROJECTIVE-STRUCTURES AND KLEINIAN-GROUPS
K MATSUZAKI, JA VELLING
OSAKA JOURNAL OF MATHEMATICS 31 ( 1 ) 165 - 175 1994.03 [Refereed]
ERGODIC PROPERTIES OF DISCRETE-GROUPS - INHERITANCE TO NORMAL-SUBGROUPS AND INVARIANCE UNDER QUASI-CONFORMAL DEFORMATIONS
K MATSUZAKI
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 33 ( 1 ) 205 - 226 1993.02 [Refereed]
Simply connected invariant domains of Kleinian groups not in the closures of Teichmüller spaces
Katsuhiko Matsuzaki
Complex Variables 22 93 - 100 1993 [Refereed]
THE ACTION AT INFINITY OF CONSERVATIVE GROUPS OF HYPERBOLIC MOTIONS NEED NOT HAVE ATOMS
JA VELLING, K MATSUZAKI
ERGODIC THEORY AND DYNAMICAL SYSTEMS 11 ( 3 ) 577 - 582 1991.09 [Refereed]
A CHARACTERIZATION OF EXTENDED SCHOTTKY TYPE-GROUPS WITH A REMARK TO AHLFORS CONJECTURE
K MATSUZAKI
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 31 ( 1 ) 259 - 264 1991.02 [Refereed]
Geometric finiteness, quasiconformal stability and surjectivity of the bers map for kleinian groups
Katsuhiko Matsuzaki
Tohoku Mathematical Journal 43 ( 3 ) 327 - 336 1991 [Refereed]
Certain estimates on kleinian groups by the core of their quotient 3-manifold
Katsuhiko Matsuzaki
Kodai Mathematical Journal 13 ( 3 ) 377 - 385 1990 [Refereed]
Topics in finite or infinite dimensional complex analysis : proceedings of the 19th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, December 11-15, 2011, Aster Plaza, Hiroshima, Japan
Katsuhiko Matsuzaki, Toshiyuki Sugawa
Tohoku University Press 2013 ISBN: 9784861632198
Hyperbolic Manifolds and Kleinian Groups
Katsuhiko Matsuzaki, Masahiko Taniguchi
Oxford University Press 1998.04 ISBN: 9780198500629
双曲的多様体とクライン群
谷口 雅彦, 松崎 克彦
日本評論社 1993 ISBN: 9784535782020
書評 L.V.アールフォルス(谷口雅彦訳) : 擬等角写像講義,数学クラシックス,29,丸善出版,2015年,168ページ
松崎 克彦
数学 72 ( 1 ) 94 - 98 2020 [Refereed] [Invited]
Book review, literature introduction, etc.
Appendix G. The Denjoy-Wolff theorem
Katsuhiko Matsuzaki
Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942, American Mthematical Society 303 - 305 2011 [Invited]
Article, review, commentary, editorial, etc. (other)
Appendix D. Kleinian groups
Katsuhiko Matsuzaki
Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942, American Mthematical Society 295 - 296 2011 [Invited]
Article, review, commentary, editorial, etc. (other)
Structure theorem for holomorphic self-covers of Riemann surfaces and its applications (Infinite dimensional Teichmuller spaces and moduli spaces)
FUJIKAWA Ege, MATSUZAKI Katsuhiko, TANIGUCHI Masahiko
RIMS Kokyuroku Bessatsu 17 21 - 36 2010.06 [Refereed]
An averaging operator and non-separability of certain Banach spaces of holomorphic automorphic forms (Infinite dimensional Teichmuller spaces and moduli spaces)
MATSUZAKI Katsuhiko
RIMS Kokyuroku Bessatsu 17 65 - 72 2010.06 [Refereed]
Properties of asymptotically elliptic modular transformations of Teichmuller spaces (Infinite dimensional Teichmuller spaces and moduli spaces)
MATSUZAKI Katsuhiko
RIMS Kokyuroku Bessatsu 17 73 - 84 2010.06 [Refereed]
The projection of limit sets of modular groups on asymptotic Teichmüller spaces
E. Fujikawa, K. Matsuzaki
Proceedings of the 16th ICFIDCAA, Dongguk Univ., Daeyang Printing 86 - 92 2009
Article, review, commentary, editorial, etc. (international conference proceedings)
An example of self-covering of Riemann surface
K. Matsuzaki, Y. Yabuki
Proceedings of the 16th ICFIDCAA, Dongguk Univ., Daeyang Printing 86 - 92 2009
Article, review, commentary, editorial, etc. (international conference proceedings)
A remark on quadratic differentials vanishing at infinity(Complex Analysis and Geometry of Hyperbolic Spaces)
MATSUZAKI KATSUHIKO
RIMS Kokyuroku 1518 144 - 145 2006.10
The dynamics on Teichmuller spaces induced by holomorphic self-coverings(Complex Dynamics and its Related Fields)
Fujikawa Ege, Matsuzaki Katsuhiko, Taniguchi Masahiko
RIMS Kokyuroku 1494 44 - 48 2006.05
Dynamics of Teichmuller modular groups and general topology of moduli spaces : Announcement (Perspectives of Hyperbolic Spaces II)
Matsuzaki Katsuhiko
RIMS Kokyuroku 1387 81 - 94 2004.07
An extension of the collar lemma (Perspectives of Hyperbolic Spaces)
Matsuzaki Katsuhiko
RIMS Kokyuroku 1329 58 - 61 2003.06
The action of isotropy subgroups of the modular groups on infinite dimensional Teichmuller spaces (Hyperbolic Spaces and Discrete Groups II)
Matsuzaki Katsuhiko
RIMS Kokyuroku 1270 84 - 87 2002.06
Locally connected tree-like invariant continua under Kleinian groups (Hyperbolic Spaces and Discrete Groups)
Matsuzaki Katsuhiko
RIMS Kokyuroku 1223 31 - 32 2001.07
LOCAL GEOMETRIC FINITENESS OF KLEINIAN GROUPS (Hyperbolic Spaces and Related Topics II)
Matsuzaki Katsuhiko
RIMS Kokyuroku 1163 42 - 45 2000.07
A remark on the critical exponent of Kleinian groups (Analysis and Geometry of Hyperbolic Spaces)
Matsuzaki Katsuhiko
RIMS Kokyuroku 1065 106 - 107 1998.10
Conditional stability of Kleinian groups
松崎 克彦
Science bulletin of Josai University, Special Issue 4 25 - 28 1998
Stability of Kleinian groups(Analysis of Discrete Groups II)
Matsuzaki Katsuhiko
RIMS Kokyuroku 1022 87 - 92 1997.12
THE RATIO OF TWO NORMS OF QUADRATIC DIFFERENTIALS(Analysis of Discrete Groups)
MATSUZAKI KATSUHIKO
RIMS Kokyuroku 967 117 - 120 1996.10
SEVERAL CHARACTERIZATIONS OF FUCHSIAN GROUPS OF DIVERGENCE TYPE(Complex Analysis on Hyperbolic 3-Manifolds)
MATSUZAKI KATSUHIKO
数理解析研究所講究録 882 51 - 56 1994.08
日本数学会建部賢弘賞
1996.11
微分幾何的擬等角拡張と調和解析的普遍タイヒミュラー空間論
早稲田大学 科学研究費 基盤研究(B)
Project Year :
松崎克彦
双曲性をもつ離散群の正規部分群に関する収束指数スペクトルと余増大度剛性の研究
早稲田大学’ 科学研究費 挑戦的萌芽研究
Project Year :
松崎克彦
無限次元タイヒミュラー空間上のヴェイユ・ピーターソン計量の研究
早稲田大学 科学研究費 基盤研究(B)
Project Year :
松崎克彦
円周上の微分同相写像群の共役問題の解決
早稲田大学 科学研究費 挑戦的萌芽研究
Project Year :
松崎克彦
熱力学形式によるクライン群の幾何の研究
早稲田大学 科学研究費 特別研究員奨励費
Project Year :
松崎克彦
Teichmuller spaces of symmetric structures and the rigidity and fixed-point problems of quasiconformal mapping class groups
Project Year :
複素力学系の群論への応用:Burnside問題とHopf問題
岡山大学・早稲田大学 科学研究費 萌芽研究
Project Year :
松崎克彦
Researches on quasiconformal groups and the modular group of the universal Teichmuller space
Project Year :
Dynamics of modular groups on infinite dimensional Teichmuller spaces
Project Year :
リーマン面上の射影構造の離散的ホロノミー表現の研究
お茶の水女子大学 科学研究費 奨励研究(A)
Project Year :
松崎克彦
クライン群の離散表現の集合の構造
日本学術振興会 海外特別研究員
Project Year :
松崎克彦
Deformation theory of Kleinian groups
Project Year :
クライン群と複素力学系の研究
お茶の水女子大学 科学研究費 奨励研究(A)
Project Year :
松崎克彦
リーマン面のスペクトル理論
日本学術振興会 特定国派遣研究員
Project Year :
松崎克彦
双曲的多様体の剛性と離散群のエルゴード性の研究
東京工業大学 科学研究費 奨励研究(A)
Project Year :
松崎克彦
双曲的三次元多様体とクライン群
東京工業大学 科学研究費 奨励研究(A)
Project Year :
松崎克彦
複素構造の解析学的・幾何学的研究
科学研究費助成事業(東京工業大学) 科学研究費助成事業(一般研究(B))
多様体上の複素解析
科学研究費助成事業(東京工業大学) 科学研究費助成事業(一般研究(C))
複素多様体からの群の表現の解析
科学研究費助成事業(東京工業大学)
Study of various problems in mathematical physics
幾何学的複素解析とポテンシャル論
科学研究費助成事業(東京工業大学) 科学研究費助成事業(総合研究(A))
STUDY OF SELF-SIMILAR PROCESSES
Potential theory in a domain with fractal boundary
Analysis of Complex Dynamics
New development of geometric function theory focused on conformal invariants
Research on deformations of real and complex manifolds and variations of invariants
グロタンディークデッサンと非合同的タイヒミュラー被覆の数論
科学研究費助成事業(岡山大学) 科学研究費助成事業(萌芽研究)
幾何学的函数論の多面的研究
科学研究費助成事業(東北大学) 科学研究費助成事業(基盤研究(B))
2020 ヨハネス イェーリッシュ
2019 Huaying WEI
ケーリーグラフの等長変換群の収束指数と重みが変動する離散ラプラシアンのスペクトル
2017 ヨハネス イェーリッシュ
Seminar on Hyperbolic Geometry D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Hyperbolic Geometry C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Hyperbolic Geometry B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Hyperbolic Geometry A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Lectures for Hyperbolic Geometry B
Graduate School of Fundamental Science and Engineering
2022 spring semester
Research on Hyperbolic Geometry
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Research on Hyperbolic Geometry
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Seminar on Hyperbolic Geometry D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Hyperbolic Geometry C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Hyperbolic Geometry B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Hyperbolic Geometry A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Research on Hyperbolic Geometry
Graduate School of Fundamental Science and Engineering
2022 full year