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## Matsumoto, Shigenori

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 Author ID: matsumoto.shigenori Published as: Matsumoto, S.; Matsumoto, Shigenori Homepage: http://kenkyu-web.cin.nihon-u.ac.jp/Profiles/40/0003901/prof_e.html
 Documents Indexed: 70 Publications since 1979, including 4 Books
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#### Co-Authors

 44 single-authored 7 Inaba, Takashi 4 Mitsumatsu, Yoshihiko 3 Nakayama, Hiromichi 2 Kamimura, Atsushi 2 Morita, Shigeyuki 2 Ohira, Toru 2 Sato, Atsushi 2 Tsuboi, Takashi 1 Asuke, Taro 1 El Kacimi Alaoui, Aziz 1 Hector, Gilbert 1 Ito, Nobuyasu 1 Kodama, Hiroki 1 Martínez, Matilde 1 Masuda, Kazuo 1 Matsuda, Yoshifumi 1 Meigniez, Gaël 1 Mizutani, Tadayoshi 1 Moussa, Tarek 1 Shishikura, Mitsuhiro 1 Tsuchiya, Nobuo 1 Verjovsky, Alberto
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#### Serials

 7 Proceedings of the American Mathematical Society 4 Hokkaido Mathematical Journal 4 Journal of the Faculty of Science. Section I A 4 Journal of the Mathematical Society of Japan 3 Inventiones Mathematicae 3 Proceedings of the Japan Academy. Series A 3 Ergodic Theory and Dynamical Systems 2 Nonlinearity 2 Kodai Mathematical Journal 2 Topology and its Applications 2 Sūgaku 2 L’Enseignement Mathématique. 2e Série 2 Journal of Mathematical Sciences. University of Tokyo 2 Journal of Modern Dynamics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Commentarii Mathematici Helvetici 1 Hiroshima Mathematical Journal 1 Japanese Journal of Mathematics. New Series 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Yokohama Mathematical Journal 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Advanced Studies in Pure Mathematics 1 Lecture Notes Series, Seoul 1 Proceedings of the American Mathematical Society. Series B
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#### Fields

 43 Dynamical systems and ergodic theory (37-XX) 31 Manifolds and cell complexes (57-XX) 14 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 183 times in 163 Documents Cited by Year
Bounded cohomology of certain groups of homeomorphisms. Zbl 0536.57023
Matsumoto, Shigenori; Morita, Shigeyuki
1985
Some remarks on foliated $$S^ 1$$ bundles. Zbl 0681.58007
Matsumoto, S.
1987
Foundations of flat conformal structure. Zbl 0816.53020
Matsumoto, Shigenori
1992
Arnold conjecture for surface homeomorphisms. Zbl 0974.37040
Matsumoto, S.
2000
Numerical invariants for semiconjugacy of homeomorphisms of the circle. Zbl 0598.57030
Matsumoto, Shigenori
1986
Prime end rotation numbers of invariant separating continua of annular homeomorphisms. Zbl 1255.37018
Matsumoto, Shigenori
2012
The unique ergodicity of equicontinuous laminations. Zbl 1213.37044
Matsumoto, Shigenori
2010
Leafwise cohomology and rigidity of certain Lie group actions. Zbl 1052.22020
Matsumoto, S.; Mitsumatsu, Y.
2003
Topological entropy and Thurston’s norm of atoroidal surface bundles over the circle. Zbl 0647.57006
Matsumoto, Shigenori
1987
There are two isotopic Morse-Smale diffeomorphisms which cannot be joined by simple arcs. Zbl 0416.58015
Matsumoto, Shigenori
1979
Ends of leaves of Lie foliations. Zbl 1083.57036
Hector, Gilbert; Matsumoto, Shigenori; Meigniez, Gaël
2005
Nonsingular expansive flows on 3-manifolds and foliations with circle prong singularities. Zbl 0729.58046
Inaba, Takashi; Matsumoto, Shigenori
1990
Measure of exceptional minimal sets of codimension one foliations. Zbl 0651.57020
Matsumoto, S.
1988
Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund’s theorem. Zbl 1379.37063
Verjovsky, Alberto; Matsumoto, Shigenori; Martínez, Matilde
2016
Continua as minimal sets of homeomorphisms of $$S^2$$. Zbl 1347.37080
Matsumoto, Shigenori; Nakayama, Hiromichi
2011
Remarks on the horocycle flows for foliations by hyperbolic surfaces. Zbl 1360.53032
Matsumoto, Shigenori
2017
Horocycle flows without minimal sets. Zbl 1370.37072
Matsumoto, Shigenori
2016
Minimal $$C^{1}$$-diffeomorphisms of the circle which admit measurable fundamental domains. Zbl 1277.37069
Kodama, Hiroki; Matsumoto, Shigenori
2013
The dichotomy of harmonic measures of compact hyperbolic laminations. Zbl 1317.53039
Matsumoto, Shigenori
2012
Codimension one Anosov flows. Zbl 0827.58044
Matsumoto, Shigenori
1995
Basic partitions and combinations of group actions on the circle: A new approach to a theorem of Kathryn Mann. Zbl 1369.37052
Matsumoto, Shigenori
2016
A generic-dimensional property of the invariant measures for circle diffeomorphisms. Zbl 1287.37027
Matsumoto, Shigenori
2013
Orbit equivalence types of circle diffeomorphisms with a Liouville rotation number. Zbl 1268.37051
Matsumoto, Shigenori
2013
A characterization of the standard Reeb flow. Zbl 1296.37034
Matsumoto, Shigenori
2013
Derivatives of rotation number of one parameter families of circle diffeomorphisms. Zbl 1244.37026
Matsumoto, Shigenori
2012
The parameter rigid flows on orientable 3-manifolds. Zbl 1180.37026
Matsumoto, Shigenori
2009
On the Ruelle invariants for diffeomorphisms of the two torus. Zbl 1015.37034
Matsumoto, Shigenori; Nakayama, Hiromichi
2002
Rotation sets of surface homeomorphisms. Zbl 0908.58032
Matsumoto, Shigenori
1997
K. M. Kuperberg’s counterexample to the Seifert conjecture. Zbl 0887.57030
Matsumoto, Shigenori
1995
Codimension one foliations on solvable manifolds. Zbl 0803.57006
Matsumoto, Shigenori
1993
Resilient leaves in transversely projective foliations. Zbl 0711.57018
Inaba, Takashi; Matsumoto, Shigenori
1990
Kinematic expansive suspensions of irrational rotations on the circle. Zbl 1379.37083
Matsumoto, Shigenori
2017
Weak form of equidistribution theorem for harmonic measures of foliations by hyperbolic surfaces. Zbl 1344.53022
Matsumoto, Shigenori
2016
The space of (contact) Anosov flows on 3-manifolds. Zbl 1347.37055
Matsumoto, Shigenori
2013
Dense properties of the space of circle diffeomorphisms with a Liouville rotation number. Zbl 1247.37036
Matsumoto, Shigenori
2012
Rigidity of locally free Lie group actions and leafwise cohomology. Zbl 05830566
Matsumoto, Shigenori
2006
Affine flows on 3-manifolds. Zbl 1026.57022
Matsumoto, Shigenori
2003
Minimal sets of certain annular homeomorphisms. Zbl 1014.37031
Matsumoto, Shigenori; Shishikura, Mitsuhiro
2002
Transverse intersections of foliations in three-manifolds. Zbl 1026.57023
Matsumoto, Shigenori; Tsuboi, Takashi
2001
Types of fixed points of index one of surface homeomorphisms. Zbl 0988.37050
Matsumoto, Shigenori
2001
Currents invariant by a Kleinian group. Zbl 0872.58003
El Kacimi Alaoui, Aziz; Matsumoto, Shigenori; Moussa, Tarek
1997
The Lie affine foliations on 4-manifolds. Zbl 0786.57010
Matsumoto, Shigenori; Tsuchiya, Nobuo
1992
Resilient leaves in transversely projective foliations. Zbl 0708.57009
Inaba, Takashi; Matsumoto, Shigenori
1990
On discrete group actions on the unit circle. Zbl 0895.57009
Matsumoto, Shigenori
1987
Foliations of Seifert fibered spaces over $$S^ 2$$. Zbl 0645.57020
Matsumoto, Shigenori
1985
Bifurcation of the periodic points of maps of the interval. Zbl 0542.58019
Matsumoto, Shigenori
1984
Bifurcation of periodic points of maps of the interval. Zbl 0519.58037
Matsumoto, Shigenori
1983
Remarks on the horocycle flows for foliations by hyperbolic surfaces. Zbl 1360.53032
Matsumoto, Shigenori
2017
Kinematic expansive suspensions of irrational rotations on the circle. Zbl 1379.37083
Matsumoto, Shigenori
2017
Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund’s theorem. Zbl 1379.37063
Verjovsky, Alberto; Matsumoto, Shigenori; Martínez, Matilde
2016
Horocycle flows without minimal sets. Zbl 1370.37072
Matsumoto, Shigenori
2016
Basic partitions and combinations of group actions on the circle: A new approach to a theorem of Kathryn Mann. Zbl 1369.37052
Matsumoto, Shigenori
2016
Weak form of equidistribution theorem for harmonic measures of foliations by hyperbolic surfaces. Zbl 1344.53022
Matsumoto, Shigenori
2016
Minimal $$C^{1}$$-diffeomorphisms of the circle which admit measurable fundamental domains. Zbl 1277.37069
Kodama, Hiroki; Matsumoto, Shigenori
2013
A generic-dimensional property of the invariant measures for circle diffeomorphisms. Zbl 1287.37027
Matsumoto, Shigenori
2013
Orbit equivalence types of circle diffeomorphisms with a Liouville rotation number. Zbl 1268.37051
Matsumoto, Shigenori
2013
A characterization of the standard Reeb flow. Zbl 1296.37034
Matsumoto, Shigenori
2013
The space of (contact) Anosov flows on 3-manifolds. Zbl 1347.37055
Matsumoto, Shigenori
2013
Prime end rotation numbers of invariant separating continua of annular homeomorphisms. Zbl 1255.37018
Matsumoto, Shigenori
2012
The dichotomy of harmonic measures of compact hyperbolic laminations. Zbl 1317.53039
Matsumoto, Shigenori
2012
Derivatives of rotation number of one parameter families of circle diffeomorphisms. Zbl 1244.37026
Matsumoto, Shigenori
2012
Dense properties of the space of circle diffeomorphisms with a Liouville rotation number. Zbl 1247.37036
Matsumoto, Shigenori
2012
Continua as minimal sets of homeomorphisms of $$S^2$$. Zbl 1347.37080
Matsumoto, Shigenori; Nakayama, Hiromichi
2011
The unique ergodicity of equicontinuous laminations. Zbl 1213.37044
Matsumoto, Shigenori
2010
The parameter rigid flows on orientable 3-manifolds. Zbl 1180.37026
Matsumoto, Shigenori
2009
Rigidity of locally free Lie group actions and leafwise cohomology. Zbl 05830566
Matsumoto, Shigenori
2006
Ends of leaves of Lie foliations. Zbl 1083.57036
Hector, Gilbert; Matsumoto, Shigenori; Meigniez, Gaël
2005
Leafwise cohomology and rigidity of certain Lie group actions. Zbl 1052.22020
Matsumoto, S.; Mitsumatsu, Y.
2003
Affine flows on 3-manifolds. Zbl 1026.57022
Matsumoto, Shigenori
2003
On the Ruelle invariants for diffeomorphisms of the two torus. Zbl 1015.37034
Matsumoto, Shigenori; Nakayama, Hiromichi
2002
Minimal sets of certain annular homeomorphisms. Zbl 1014.37031
Matsumoto, Shigenori; Shishikura, Mitsuhiro
2002
Transverse intersections of foliations in three-manifolds. Zbl 1026.57023
Matsumoto, Shigenori; Tsuboi, Takashi
2001
Types of fixed points of index one of surface homeomorphisms. Zbl 0988.37050
Matsumoto, Shigenori
2001
Arnold conjecture for surface homeomorphisms. Zbl 0974.37040
Matsumoto, S.
2000
Rotation sets of surface homeomorphisms. Zbl 0908.58032
Matsumoto, Shigenori
1997
Currents invariant by a Kleinian group. Zbl 0872.58003
El Kacimi Alaoui, Aziz; Matsumoto, Shigenori; Moussa, Tarek
1997
Codimension one Anosov flows. Zbl 0827.58044
Matsumoto, Shigenori
1995
K. M. Kuperberg’s counterexample to the Seifert conjecture. Zbl 0887.57030
Matsumoto, Shigenori
1995
Codimension one foliations on solvable manifolds. Zbl 0803.57006
Matsumoto, Shigenori
1993
Foundations of flat conformal structure. Zbl 0816.53020
Matsumoto, Shigenori
1992
The Lie affine foliations on 4-manifolds. Zbl 0786.57010
Matsumoto, Shigenori; Tsuchiya, Nobuo
1992
Nonsingular expansive flows on 3-manifolds and foliations with circle prong singularities. Zbl 0729.58046
Inaba, Takashi; Matsumoto, Shigenori
1990
Resilient leaves in transversely projective foliations. Zbl 0711.57018
Inaba, Takashi; Matsumoto, Shigenori
1990
Resilient leaves in transversely projective foliations. Zbl 0708.57009
Inaba, Takashi; Matsumoto, Shigenori
1990
Measure of exceptional minimal sets of codimension one foliations. Zbl 0651.57020
Matsumoto, S.
1988
Some remarks on foliated $$S^ 1$$ bundles. Zbl 0681.58007
Matsumoto, S.
1987
Topological entropy and Thurston’s norm of atoroidal surface bundles over the circle. Zbl 0647.57006
Matsumoto, Shigenori
1987
On discrete group actions on the unit circle. Zbl 0895.57009
Matsumoto, Shigenori
1987
Numerical invariants for semiconjugacy of homeomorphisms of the circle. Zbl 0598.57030
Matsumoto, Shigenori
1986
Bounded cohomology of certain groups of homeomorphisms. Zbl 0536.57023
Matsumoto, Shigenori; Morita, Shigeyuki
1985
Foliations of Seifert fibered spaces over $$S^ 2$$. Zbl 0645.57020
Matsumoto, Shigenori
1985
Bifurcation of the periodic points of maps of the interval. Zbl 0542.58019
Matsumoto, Shigenori
1984
Bifurcation of periodic points of maps of the interval. Zbl 0519.58037
Matsumoto, Shigenori
1983
There are two isotopic Morse-Smale diffeomorphisms which cannot be joined by simple arcs. Zbl 0416.58015
Matsumoto, Shigenori
1979
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#### Cited by 193 Authors

 7 Matsumoto, Shigenori 6 Barbot, Thierry 5 Hurder, Steven E. 4 Alcalde Cuesta, Fernando 4 Dal’bo, Françoise 4 Grines, Vyacheslav Zigmundovich 4 Iozzi, Alessandra 4 Le Calvez, Patrice 4 Mann, Kathryn 4 Martínez, Matilde 4 Pochinka, Olga Vital’evna 4 Verjovsky, Alberto 3 Goldman, William M. 3 Izeki, Hiroyasu 3 Lukina, Olga 3 Navas, Andrés 3 Passeggi, Alejandro 2 Alvarez, Sébastien 2 Artigue, Alfonso 2 Asaoka, Masayuki 2 Bonatti, Christian 2 Boyer, Steven 2 Burger, Marc 2 Calegari, Danny Matthew Cornelius 2 Clark, Alex 2 Deroin, Bertrand 2 Fidaleo, Francesco 2 Fujiwara, Koji 2 Gelfert, Katrin Grit 2 Ghys, Étienne 2 Hernández-Corbato, Luis 2 Kin, Eiko 2 Leśniak, Zbigniew 2 Maquera, Carlos 2 Margalit, Dan 2 McMullen, Curtis Tracy 2 Militon, Emmanuel 2 Morales, Carlos Arnoldo 2 Pagliantini, Cristina 2 Park, Hee Sook 2 Rivas, Cristóbal 2 Takasawa, Mitsuhiko 2 Wolff, Maxime 2 Zhukova, Nina Ivanovna 1 Abouqateb, Abdelhak 1 Agol, Ian 1 Algom-Kfir, Yael 1 Álvarez López, Jesús A. 1 Andersson, Lars Åke 1 Araki, Yoshiaki 1 Asuke, Taro 1 Atsuji, Atsushi 1 Bader, Uri 1 Barge, Jean 1 Barral Lijó, Ramón 1 Basener, William F. 1 Bavard, Juliette 1 Béguin, François 1 Belegradek, Igor 1 Bellis, Alexandre 1 Benedetti, Riccardo 1 Biringer, Ian 1 Boileau, Michel Charles 1 Bonsante, Francesco 1 Boubaker, Zouhour Rezig 1 Boucetta, Mohamed 1 Brunella, Marco 1 Bühler, Theo 1 Buhovsky, Lev 1 Cantwell, John C. 1 Carballo, Carlos Maria 1 Chatterji, Indira 1 Chen, Lei 1 Cismas, Emanuel-Ciprian 1 Conlon, Lawrence 1 Damjanović, Danijela 1 Das, Tushar Kanti 1 Dathe, Hamidou 1 Dávalos, Pablo 1 del Pino, Álvaro 1 Derbez, Pierre 1 Di Garbo, Angelo 1 dos Santos, Nathan M. 1 Duchesne, Bruno 1 Dupont, Christophe 1 Dyer, Jessica 1 Farre, James 1 Feizi, Esmaiel 1 Fernós, Talia 1 Flaminio, Livio 1 Florio, Anna 1 Forni, Giovanni 1 Furman, Alex 1 Galatolo, Stefano 1 Gaye, Masseye 1 Ghahramani, Hoger 1 Ghil, Michael 1 Grigorchuk, Rostislav Ivanovich 1 Hadfield, Charles 1 Heuer, Nicolaus ...and 93 more Authors
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#### Cited in 77 Serials

 10 Inventiones Mathematicae 10 Ergodic Theory and Dynamical Systems 9 Mathematische Zeitschrift 8 Topology and its Applications 8 Geometry & Topology 7 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 5 Annales de l’Institut Fourier 5 Geometriae Dedicata 4 Mathematical Notes 3 Israel Journal of Mathematics 3 Journal of the Mathematical Society of Japan 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Discrete and Continuous Dynamical Systems 3 Conformal Geometry and Dynamics 3 Journal of Topology 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Fundamenta Mathematicae 2 Publications Mathématiques 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Journal of the American Mathematical Society 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Annales Henri Poincaré 2 Groups, Geometry, and Dynamics 2 Journal of Modern Dynamics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Potential Analysis 1 Journal of Lie Theory 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 Complex Analysis and Operator Theory 1 Confluentes Mathematici 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Annales Mathématiques du Québec 1 Journal de l’École Polytechnique – Mathématiques 1 Nelineĭnaya Dinamika 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 1 Proceedings of the American Mathematical Society. Series B
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#### Cited in 31 Fields

 95 Dynamical systems and ergodic theory (37-XX) 71 Manifolds and cell complexes (57-XX) 34 Differential geometry (53-XX) 29 Group theory and generalizations (20-XX) 21 Global analysis, analysis on manifolds (58-XX) 16 Topological groups, Lie groups (22-XX) 12 Functions of a complex variable (30-XX) 11 Algebraic topology (55-XX) 10 General topology (54-XX) 9 Several complex variables and analytic spaces (32-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 4 Relativity and gravitational theory (83-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)