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Bowditch, Brian H.

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Author ID: bowditch.brian-h Recent zbMATH articles by "Bowditch, Brian H."
Published as: Bowditch, B. H.; Bowditch, Brian; Bowditch, Brian H.
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Documents Indexed: 63 Publications since 1988, including 2 Books

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 1,086 times in 753 Documents Cited by Year
Relatively hyperbolic groups. Zbl 1259.20052
Bowditch, B. H.
116
2012
Tight geodesics in the curve complex. Zbl 1185.57011
Bowditch, Brian H.
72
2008
Geometrical finiteness with variable negative curvature. Zbl 0877.57018
Bowditch, B. H.
70
1995
Cut points and canonical splittings of hyperbolic groups. Zbl 0911.57001
Bowditch, Brian H.
67
1998
Geometrical finiteness for hyperbolic groups. Zbl 0789.57007
Bowditch, B. H.
66
1993
Intersection numbers and the hyperbolicity of the curve complex. Zbl 1119.32006
Bowditch, Brian H.
52
2006
A topological characterisation of hyperbolic groups. Zbl 0906.20022
Bowditch, Brian H.
50
1998
Notes on Gromov’s hyperbolicity criterion for path-metric spaces. Zbl 0843.20031
Bowditch, B. H.
44
1991
Markoff triples and quasifuchsian groups. Zbl 0928.11030
Bowditch, B. H.
42
1998
Convergence groups and configuration spaces. Zbl 0952.20032
Bowditch, B. H.
41
1999
Uniform hyperbolicity of the curve graphs. Zbl 1330.57023
Bowditch, Brian H.
32
2014
Treelike structures arising from continua and convergence groups. Zbl 0961.20034
Bowditch, B. H.
27
1999
A proof of McShane’s identity via Markoff triples. Zbl 0854.57009
Bowditch, B. H.
26
1996
Peripheral splittings of groups. Zbl 1037.20041
Bowditch, B. H.
22
2001
A short proof that a subquadratic isoperimetric inequality implies a linear one. Zbl 0835.53051
Bowditch, B. H.
22
1995
Natural triangulations associated to a surface. Zbl 0649.32017
Bowditch, B. H.; Epstein, D. B. A.
20
1988
The Cannon-Thurston map for punctured-surface groups. Zbl 1138.57020
Bowditch, Brian H.
19
2007
Connectedness properties of limit sets. Zbl 0938.20033
Bowditch, B. H.
19
1999
Coarse median spaces and groups. Zbl 1283.20048
Bowditch, Brian H.
15
2013
Boundaries of geometrically finite groups. Zbl 0926.20027
Bowditch, B. H.
15
1999
A 4-dimensional Kleinian group. Zbl 0876.57020
Bowditch, B. H.; Mess, G.
15
1994
Embedding median algebras in products of trees. Zbl 1330.20062
Bowditch, Brian H.
13
2014
Planar groups and the Seifert conjecture. Zbl 1056.20029
Bowditch, Brian H.
13
2004
A variation of McShane’s identity for once-punctured torus bundles. Zbl 0872.57015
Bowditch, B. H.
12
1997
Boundaries of strongly accessible hyperbolic groups. Zbl 0918.20027
Bowditch, B. H.
11
1998
Large-scale rigidity properties of the mapping class groups. Zbl 1427.20056
Bowditch, Brian H.
10
2018
Archimedean actions on median pretrees. Zbl 1034.20022
Bowditch, Brian H.; Crisp, John
10
2001
Arithmetic hyperbolic surface bundles. Zbl 0830.57008
Bowditch, B. H.; Maclachlan, C.; Reid, A. W.
10
1995
Some results on the geometry of convex hulls in manifolds of pinched negative curvature. Zbl 0967.53022
Bowditch, B. H.
10
1994
Discrete parabolic groups. Zbl 0793.53029
Bowditch, B. H.
10
1993
Hyperbolic 3-manifolds and the geometry of the curve complex. Zbl 1081.53032
Bowditch, Brian H.
9
2005
A variation on the unique product property. Zbl 1033.20040
Bowditch, B. H.
9
2000
Some properties of median metric spaces. Zbl 1376.20044
Bowditch, Brian H.
8
2016
Stacks of hyperbolic spaces and ends of 3-manifolds. Zbl 1297.57044
Bowditch, B. H.
8
2013
Continuously many quasiisometry classes of \(2\)-generator groups. Zbl 0924.20032
Bowditch, B. H.
8
1998
Notes on locally CAT(1) spaces. Zbl 0865.53035
Bowditch, B. H.
8
1995
Large-scale rank and rigidity of the Teichmüller metric. Zbl 1398.32014
Bowditch, Brian H.
7
2016
Atoroidal surface bundles over surfaces. Zbl 1195.20045
Bowditch, Brian H.
7
2009
Length bounds on curves arising from tight geodesics. Zbl 1148.57024
Bowditch, Brian H.
7
2007
Singular Euclidean structures on surfaces. Zbl 0748.57003
Bowditch, Brian H.
7
1991
A course on geometric group theory. Zbl 1103.20037
Bowditch, Brian H.
6
2006
Hausdorff dimension and dendritic limit sets. Zbl 1077.57014
Bowditch, Brian H.
6
2005
Splittings of finitely generated groups over two-ended subgroups. Zbl 0988.20027
Bowditch, Brian H.
6
2002
Minkowskian subspaces of non-positively curved metric spaces. Zbl 0843.53040
Bowditch, B. H.
6
1995
Notes on Tameness. Zbl 1222.57012
Bowditch, Brian H.
5
2010
Group actions on trees and dendrons. Zbl 1128.57300
Bowditch, B. H.
5
1998
Invariance of coarse median spaces under relative hyperbolicity. Zbl 1275.20045
Bowditch, Brian H.
4
2013
Systems of bands in hyperbolic 3-manifolds. Zbl 1154.57015
Bowditch, Brian H.
4
2007
Rigidity of the strongly separating curve graph. Zbl 1441.30059
Bowditch, Brian
3
2016
Quasi-isometric maps between direct products of hyperbolic spaces. Zbl 1367.20051
Bowditch, Brian H.
2
2016
The angel game in the plane. Zbl 1222.91011
Bowditch, Brian H.
2
2007
The minimal volume of the plane. Zbl 0796.53038
Bowditch, B. H.
2
1993
The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. Zbl 1456.20042
Bowditch, Brian H.; Sakuma, Makoto
1
2018
Projections of the sphere graph to the arc graph of a surface. Zbl 06883454
Bowditch, Brian H.; Iezzi, Francesca
1
2018
Quasiconvexity of bands in hyperbolic 3-manifolds. Zbl 1361.57020
Bowditch, Brian H.
1
2014
An upper bound for injectivity radii in convex cores. Zbl 1272.57012
Bowditch, Brian H.
1
2013
Groups acting on Cantor sets and the end structure of graphs. Zbl 1050.57002
Bowditch, Brian H.
1
2002
A class of incomplete non-positively curved manifolds. Zbl 0867.53039
Bowditch, B. H.
1
1996
Large-scale rigidity properties of the mapping class groups. Zbl 1427.20056
Bowditch, Brian H.
10
2018
The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. Zbl 1456.20042
Bowditch, Brian H.; Sakuma, Makoto
1
2018
Projections of the sphere graph to the arc graph of a surface. Zbl 06883454
Bowditch, Brian H.; Iezzi, Francesca
1
2018
Some properties of median metric spaces. Zbl 1376.20044
Bowditch, Brian H.
8
2016
Large-scale rank and rigidity of the Teichmüller metric. Zbl 1398.32014
Bowditch, Brian H.
7
2016
Rigidity of the strongly separating curve graph. Zbl 1441.30059
Bowditch, Brian
3
2016
Quasi-isometric maps between direct products of hyperbolic spaces. Zbl 1367.20051
Bowditch, Brian H.
2
2016
Uniform hyperbolicity of the curve graphs. Zbl 1330.57023
Bowditch, Brian H.
32
2014
Embedding median algebras in products of trees. Zbl 1330.20062
Bowditch, Brian H.
13
2014
Quasiconvexity of bands in hyperbolic 3-manifolds. Zbl 1361.57020
Bowditch, Brian H.
1
2014
Coarse median spaces and groups. Zbl 1283.20048
Bowditch, Brian H.
15
2013
Stacks of hyperbolic spaces and ends of 3-manifolds. Zbl 1297.57044
Bowditch, B. H.
8
2013
Invariance of coarse median spaces under relative hyperbolicity. Zbl 1275.20045
Bowditch, Brian H.
4
2013
An upper bound for injectivity radii in convex cores. Zbl 1272.57012
Bowditch, Brian H.
1
2013
Relatively hyperbolic groups. Zbl 1259.20052
Bowditch, B. H.
116
2012
Notes on Tameness. Zbl 1222.57012
Bowditch, Brian H.
5
2010
Atoroidal surface bundles over surfaces. Zbl 1195.20045
Bowditch, Brian H.
7
2009
Tight geodesics in the curve complex. Zbl 1185.57011
Bowditch, Brian H.
72
2008
The Cannon-Thurston map for punctured-surface groups. Zbl 1138.57020
Bowditch, Brian H.
19
2007
Length bounds on curves arising from tight geodesics. Zbl 1148.57024
Bowditch, Brian H.
7
2007
Systems of bands in hyperbolic 3-manifolds. Zbl 1154.57015
Bowditch, Brian H.
4
2007
The angel game in the plane. Zbl 1222.91011
Bowditch, Brian H.
2
2007
Intersection numbers and the hyperbolicity of the curve complex. Zbl 1119.32006
Bowditch, Brian H.
52
2006
A course on geometric group theory. Zbl 1103.20037
Bowditch, Brian H.
6
2006
Hyperbolic 3-manifolds and the geometry of the curve complex. Zbl 1081.53032
Bowditch, Brian H.
9
2005
Hausdorff dimension and dendritic limit sets. Zbl 1077.57014
Bowditch, Brian H.
6
2005
Planar groups and the Seifert conjecture. Zbl 1056.20029
Bowditch, Brian H.
13
2004
Splittings of finitely generated groups over two-ended subgroups. Zbl 0988.20027
Bowditch, Brian H.
6
2002
Groups acting on Cantor sets and the end structure of graphs. Zbl 1050.57002
Bowditch, Brian H.
1
2002
Peripheral splittings of groups. Zbl 1037.20041
Bowditch, B. H.
22
2001
Archimedean actions on median pretrees. Zbl 1034.20022
Bowditch, Brian H.; Crisp, John
10
2001
A variation on the unique product property. Zbl 1033.20040
Bowditch, B. H.
9
2000
Convergence groups and configuration spaces. Zbl 0952.20032
Bowditch, B. H.
41
1999
Treelike structures arising from continua and convergence groups. Zbl 0961.20034
Bowditch, B. H.
27
1999
Connectedness properties of limit sets. Zbl 0938.20033
Bowditch, B. H.
19
1999
Boundaries of geometrically finite groups. Zbl 0926.20027
Bowditch, B. H.
15
1999
Cut points and canonical splittings of hyperbolic groups. Zbl 0911.57001
Bowditch, Brian H.
67
1998
A topological characterisation of hyperbolic groups. Zbl 0906.20022
Bowditch, Brian H.
50
1998
Markoff triples and quasifuchsian groups. Zbl 0928.11030
Bowditch, B. H.
42
1998
Boundaries of strongly accessible hyperbolic groups. Zbl 0918.20027
Bowditch, B. H.
11
1998
Continuously many quasiisometry classes of \(2\)-generator groups. Zbl 0924.20032
Bowditch, B. H.
8
1998
Group actions on trees and dendrons. Zbl 1128.57300
Bowditch, B. H.
5
1998
A variation of McShane’s identity for once-punctured torus bundles. Zbl 0872.57015
Bowditch, B. H.
12
1997
A proof of McShane’s identity via Markoff triples. Zbl 0854.57009
Bowditch, B. H.
26
1996
A class of incomplete non-positively curved manifolds. Zbl 0867.53039
Bowditch, B. H.
1
1996
Geometrical finiteness with variable negative curvature. Zbl 0877.57018
Bowditch, B. H.
70
1995
A short proof that a subquadratic isoperimetric inequality implies a linear one. Zbl 0835.53051
Bowditch, B. H.
22
1995
Arithmetic hyperbolic surface bundles. Zbl 0830.57008
Bowditch, B. H.; Maclachlan, C.; Reid, A. W.
10
1995
Notes on locally CAT(1) spaces. Zbl 0865.53035
Bowditch, B. H.
8
1995
Minkowskian subspaces of non-positively curved metric spaces. Zbl 0843.53040
Bowditch, B. H.
6
1995
A 4-dimensional Kleinian group. Zbl 0876.57020
Bowditch, B. H.; Mess, G.
15
1994
Some results on the geometry of convex hulls in manifolds of pinched negative curvature. Zbl 0967.53022
Bowditch, B. H.
10
1994
Geometrical finiteness for hyperbolic groups. Zbl 0789.57007
Bowditch, B. H.
66
1993
Discrete parabolic groups. Zbl 0793.53029
Bowditch, B. H.
10
1993
The minimal volume of the plane. Zbl 0796.53038
Bowditch, B. H.
2
1993
Notes on Gromov’s hyperbolicity criterion for path-metric spaces. Zbl 0843.20031
Bowditch, B. H.
44
1991
Singular Euclidean structures on surfaces. Zbl 0748.57003
Bowditch, Brian H.
7
1991
Natural triangulations associated to a surface. Zbl 0649.32017
Bowditch, B. H.; Epstein, D. B. A.
20
1988
all top 5

Cited by 696 Authors

19 Bowditch, Brian H.
16 Osin, Denis V.
16 Sisto, Alessandro
15 Dahmani, François
15 Mj, Mahan
14 Rodríguez García, José Manuel
12 Guirardel, Vincent
11 Groves, Daniel P.
11 Tan, Ser Peow
10 Kapovich, Ilya
10 Kapovich, Michael
10 Papasoglu, Panos
10 Paulin, Frédéric
10 Sigarreta Almira, José María
9 Fujiwara, Koji
8 Hamenstädt, Ursula
8 Levitt, Gilbert
8 Martínez-Pedroza, Eduardo
8 Peigné, Marc
7 Abbott, Carolyn R.
7 Behrstock, Jason A.
7 Bestvina, Mladen
7 Bromberg, Kenneth W.
7 Druţu, Cornelia
7 Hruska, G. Christopher
7 Oh, Hee
7 Przytycki, Piotr
7 Rafi, Kasra
7 Swenson, Eric L.
7 Wise, Daniel T.
6 Hillman, Jonathan Arthur
6 Manning, Jason Fox
6 Parkkonen, Jouni
6 Sapir, Mark Valentinovich
6 Simmons, David
6 Yang, Wenyuan
5 Belegradek, Igor
5 Brock, Jeffrey F.
5 Canary, Richard D.
5 Cashen, Christopher H.
5 Dal’bo, Françoise
5 Gruber, Dominik
5 Hume, David
5 Kleiner, Bruce
5 Maher, Joseph
5 Minsky, Yair N.
5 Ohshika, Ken’ichi
5 Parker, John R.
5 Potyagailo, Leonid
5 Sakuma, Makoto
5 Shi, Enhui
4 Aougab, Tarik
4 Arzhantseva, Goulnara N.
4 Bermudo, Sergio
4 Cooper, Daryl
4 Coulon, Rémi B.
4 Gerasimov, Victor N.
4 Hagen, Mark F.
4 Hull, Michael B.
4 Ivanov, Aleksander A.
4 Kim, Inkang
4 Koberda, Thomas
4 Leininger, Christopher J.
4 Ma, Jiming
4 Minasyan, Ashot
4 Mohammadi, Amir
4 Mosher, Lee
4 Pal, Abhijit
4 Pestana, Domingo
4 Rivin, Igor
4 Rosenberger, Gerhard
4 Sambusetti, Andrea
4 Schleimer, Saul
4 Swarup, Gadde A.
4 Taylor, Samuel Joseph
4 Urbański, Mariusz
4 Wilton, Henry John Rutley
4 Wright, Nick J.
4 Zhang, Ying
3 Agol, Ian
3 Baker, Mark D.
3 Bartels, Arthur C.
3 Bonfert-Taylor, Petra
3 Bumagin, Inna
3 Calegari, Danny Matthew Cornelius
3 Carballosa, Walter
3 Charitos, Charalampos
3 Chepoi, Victor D.
3 de Cornulier, Yves
3 Delzant, Thomas
3 Dicks, Warren
3 Durham, Matthew Gentry
3 Fang, Ainong
3 Gadgil, Siddhartha
3 Gekhtman, Ilya
3 Genevois, Anthony
3 Goldman, William M.
3 Granados, Ana
3 Guéritaud, François
3 Haïssinsky, Peter
...and 596 more Authors
all top 5

Cited in 147 Serials

52 Geometriae Dedicata
50 Geometry & Topology
47 Algebraic & Geometric Topology
39 Transactions of the American Mathematical Society
37 Groups, Geometry, and Dynamics
27 Topology and its Applications
21 Proceedings of the American Mathematical Society
20 International Journal of Algebra and Computation
19 Inventiones Mathematicae
19 Geometric and Functional Analysis. GAFA
18 Israel Journal of Mathematics
18 Duke Mathematical Journal
15 Advances in Mathematics
15 Annales de l’Institut Fourier
14 Mathematische Annalen
13 Ergodic Theory and Dynamical Systems
12 Mathematische Zeitschrift
12 Journal of the American Mathematical Society
11 Journal of Topology and Analysis
10 Journal of Algebra
8 Conformal Geometry and Dynamics
7 Journal of Pure and Applied Algebra
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of the European Mathematical Society (JEMS)
7 Journal of Topology
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Acta Mathematica
5 Bulletin of the London Mathematical Society
5 Compositio Mathematica
5 Discrete & Computational Geometry
5 L’Enseignement Mathématique. 2e Série
5 Experimental Mathematics
4 Discrete Mathematics
4 Journal of the London Mathematical Society. Second Series
4 Journal für die Reine und Angewandte Mathematik
4 Michigan Mathematical Journal
4 The Journal of Geometric Analysis
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of Knot Theory and its Ramifications
4 Electronic Research Announcements of the American Mathematical Society
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Journal of Group Theory
4 Annals of Mathematics. Second Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Communications in Algebra
3 Communications in Mathematical Physics
3 Commentarii Mathematici Helvetici
3 Publications Mathématiques
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Results in Mathematics
3 International Journal of Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Transformation Groups
3 Journal de l’École Polytechnique – Mathématiques
2 American Mathematical Monthly
2 Discrete Applied Mathematics
2 Journal of Geometry and Physics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Functional Analysis
2 Monatshefte für Mathematik
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the London Mathematical Society. Third Series
2 Tohoku Mathematical Journal. Second Series
2 Tokyo Journal of Mathematics
2 Acta Mathematica Hungarica
2 Revista Matemática Iberoamericana
2 Differential Geometry and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Mathematical Sciences (New York)
2 Acta Mathematica Sinica. English Series
2 Journal of the Australian Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
2 Complex Variables and Elliptic Equations
2 Science China. Mathematics
2 Symmetry
2 Forum of Mathematics, Pi
2 Analysis and Geometry in Metric Spaces
2 Winter Braids Lecture Notes
1 International Journal of Modern Physics B
1 Computers & Mathematics with Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
1 Acta Arithmetica
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Combinatorial Theory. Series B
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Theoretical Computer Science
1 European Journal of Combinatorics
...and 47 more Serials
all top 5

Cited in 44 Fields

444 Group theory and generalizations (20-XX)
353 Manifolds and cell complexes (57-XX)
128 Differential geometry (53-XX)
118 Functions of a complex variable (30-XX)
96 Dynamical systems and ergodic theory (37-XX)
71 Topological groups, Lie groups (22-XX)
59 Combinatorics (05-XX)
45 Several complex variables and analytic spaces (32-XX)
32 Number theory (11-XX)
31 General topology (54-XX)
27 Geometry (51-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Measure and integration (28-XX)
16 Convex and discrete geometry (52-XX)
15 Functional analysis (46-XX)
15 Probability theory and stochastic processes (60-XX)
12 Algebraic geometry (14-XX)
12 Algebraic topology (55-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
10 Mathematical logic and foundations (03-XX)
10 Computer science (68-XX)
9 Abstract harmonic analysis (43-XX)
6 Partial differential equations (35-XX)
5 Associative rings and algebras (16-XX)
5 \(K\)-theory (19-XX)
4 Category theory; homological algebra (18-XX)
4 Biology and other natural sciences (92-XX)
3 Real functions (26-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Numerical analysis (65-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Potential theory (31-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 General algebraic systems (08-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Special functions (33-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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