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Sullivan, Dennis Parnell

Author ID: sullivan.dennis-p Recent zbMATH articles by "Sullivan, Dennis Parnell"
Published as: Sullivan, Dennis; Sullivan, D.; Sullivan, Dennis P.; Sullivan, D. P.
Homepage: https://www.math.stonybrook.edu/~dennis/
External Links: MacTutor · MGP · Wikidata · Google Scholar · ResearchGate · MathOverflow · Math-Net.Ru · dblp · GND · IdRef
Videos: carmin.tv
Awards: Wolf Prize (2010) · Abel Prize (2022)
all top 5

Co-Authors

66 single-authored
9 Simons, James
4 Deligne, Pierre
4 Nag, Subhashis
4 Ranicki, Andrew Alexander
4 Shub, Michael
3 Jiang, Yunping
3 Morgan, John W.
3 Ranade, Nissim
3 Teleman, Nicolae Sinel
3 Wright, John David Maitland
2 Atiyah, Michael Francis
2 Biswas, Indranil
2 Chas, Moira
2 Connes, Alain
2 Dundas, Bjørn Ian
2 Gardiner, Frederick P.
2 Griffiths, Phillip Augustus
2 Lawrence, Ruth J.
2 Pignataro, Thea
2 Pinto, Alberto Adrego
2 Rourke, Colin P.
2 Skau, Christian Fredrik
2 Thurston, William Paul
2 Tradler, Thomas
2 Vigué-Poirrier, Micheline
2 Zeinalian, Mahmoud
1 Aaronson, Jon
1 Armstrong, Mark Anthony
1 Bar-Natan, Dror
1 Bass, Hyman
1 Basu, Somnath
1 Besson, Gérard
1 Body, Richard
1 Bott, Raoul Harry
1 Bourguignon, Jean-Pierre
1 Brown, Ken
1 Casson, Andrew J.
1 Cattaneo, Alberto Sergio
1 Cheeger, Jeff
1 Ciu, Guizhen
1 Cohen, Marshall M.
1 Cohen, Ralph L.
1 Cooke, G. E.
1 Cui, Guizhen
1 Cuntz, Joachim
1 Curry, James H.
1 de Faria, Edson
1 de Melo, Welington
1 Dodziuk, Jozef
1 Donaldson, Simon Kirwan
1 Duflot, Jeanne
1 Earle, Clifford J.
1 Ebin, David G.
1 Edwards, Robert Duncan
1 Epstein, David Bernard Alper
1 Friedlander, Eric Mark
1 Gabai, David
1 Gambaudo, Jean-Marc
1 Garnett, Lucy
1 Ghys, Étienne
1 Goldberg, Lisa Robin
1 Goodwillie, Thomas Gehret
1 Gorokhovsky, Alexander
1 Grayson, Daniel Richard
1 Gromov, Mikhael Leonidovich
1 Grove, Karsten
1 Haefliger, André
1 Hardt, Robert M.
1 Heinonen, Juha
1 Hejhal, Dennis A.
1 Hermes, Henry
1 Hu, Jun
1 Jeffrey, Lisa Claire
1 Jenkins, James Allister
1 Jørgensen, Troels
1 Katznelson, Yitzhak
1 Kazdan, Jerry L.
1 Kerckhoff, Steve
1 Klein, John Robert
1 Kostant, Bertram
1 Krantz, Steven George
1 Kwon, Alice
1 Lafontaine, Jacques
1 LeBrun, Claude R.
1 Lehmann, Daniel
1 Loday, Jean-Louis
1 Lundell, Albert T.
1 Mañé, Ricardo
1 Marden, Albert
1 Mazur, Barry
1 McGibbon, Jason
1 McKean, Henry P. jun.
1 McMullen, Curtis Tracy
1 Michelsohn, Marie-Louise
1 Millett, Kenneth C.
1 Mimura, Mamoru
1 Morita, Takehiko
1 Norton Kercheval, Alec
1 Osserman, Robert
1 Palis, Jacob jun.
...and 33 more Co-Authors
all top 5

Serials

11 Topology
8 Journal of Differential Geometry
7 Acta Mathematica
6 Publications Mathématiques
4 Ergodic Theory and Dynamical Systems
4 Notices of the American Mathematical Society
4 Annals of Mathematics. Second Series
3 Communications in Mathematical Physics
3 Commentarii Mathematici Helvetici
3 L’Enseignement Mathématique. 2e Série
3 Bulletin of the American Mathematical Society. New Series
3 Bulletin of the American Mathematical Society
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Advances in Mathematics
2 Applied Mathematics Notes
2 Inventiones Mathematicae
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Pure and Applied Mathematics Quarterly
2 K-Monographs in Mathematics
2 Journal of Topology
1 International Journal of Mathematical Education in Science and Technology
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 American Journal of Mathematics
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Osaka Journal of Mathematics
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Discrete and Continuous Dynamical Systems
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 The Quarterly Journal of Mathematics
1 Algebraic & Geometric Topology
1 The Journal of Symplectic Geometry
1 Oberwolfach Reports
1 Astérisque
1 Cambridge Studies in Advanced Mathematics
1 Journal of Topology and Analysis
1 Journal of Singularities
1 Contemporary Mathematicians
1 European Mathematical Society Magazine

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 5,363 times in 4,272 Documents Cited by Year
Infinitesimal computations in topology. Zbl 0374.57002
Sullivan, Dennis
659
1977
Real homotopy theory of Kähler manifolds. Zbl 0312.55011
Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis
386
1975
On the dynamics of rational maps. Zbl 0524.58025
Mane, R.; Sad, P.; Sullivan, D.
252
1983
The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034
Sullivan, Dennis
245
1979
Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022
Sullivan, Dennis
222
1985
Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022
Sullivan, Dennis
196
1984
Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015
Sullivan, Dennis
156
1976
Genetics of homotopy theory and the Adams conjecture. Zbl 0355.57007
Sullivan, Dennis
125
1974
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
123
1987
Related aspects of positivity in Riemannian geometry. Zbl 0615.53029
Sullivan, Dennis
110
1987
Symmetric structures on a closed curve. Zbl 0778.30045
Gardiner, Frederick P.; Sullivan, Dennis P.
104
1992
The homology theory of the closed geodesic problem. Zbl 0361.53058
Vigue-Poirrier, Micheline; Sullivan, Dennis
103
1976
String topology in dimensions two and three. Zbl 1185.55013
Chas, Moira; Sullivan, Dennis
100
2009
Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016
Sullivan, Dennis
100
1992
Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028
Sullivan, Dennis
95
1982
Function theory, random paths and covering spaces. Zbl 0554.58022
Lyons, Terry; Sullivan, Dennis
89
1984
Currents, flows and diffeomorphisms. Zbl 0321.58019
Ruelle, David; Sullivan, Dennis
83
1975
Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044
Sullivan, Dennis
82
1985
On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015
Sullivan, Dennis
80
1981
The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037
Sullivan, D.
79
1983
Conformal dynamical systems. Zbl 0524.58024
Sullivan, Dennis
71
1983
On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032
Curry, James H.; Garnett, Lucy; Sullivan, Dennis
69
1983
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
67
1989
A topological invariant of flows on 1-dimensional spaces. Zbl 0314.54045
Parry, Bill; Sullivan, Dennis
65
1975
Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028
McMullen, Curtis T.; Sullivan, Dennis P.
64
1998
Discrete conformal groups and measurable dynamics. Zbl 0489.58027
Sullivan, Dennis
62
1982
A remark on the Lefschetz fixed point formula for differentiable maps. Zbl 0291.58014
Shub, M.; Sullivan, D.
62
1974
Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle. Zbl 0820.30027
Nag, Subhashis; Sullivan, Dennis
59
1995
Extending holomorphic motions. Zbl 0619.30026
Sullivan, Dennis P.; Thurston, William P.
55
1986
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
49
1985
A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025
Sullivan, Dennis
48
1979
Hyperbolic geometry and homeomorphisms. Zbl 0478.57007
Sullivan, Dennis
46
1979
Combinatorial invariants of analytic spaces. Zbl 0227.32005
Sullivan, D.
45
1971
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
44
1977
The transversality characteristic class and linking cycles in surgery theory. Zbl 0295.57008
Morgan, John W.; Sullivan, Dennis P.
41
1974
On the intersection ring of compact three manifolds. Zbl 0312.57003
Sullivan, Dennis
41
1975
Differential forms and the topology of manifolds. Zbl 0319.58005
Sullivan, D.
40
1975
Homology theory and dynamical systems. Zbl 0408.58023
Shub, M.; Sullivan, D.
39
1975
For \(n>3\) there is only one finitely additive rotationally invariant measure on the n-sphere defined on all Lebesgue measurable subsets. Zbl 0459.28009
Sullivan, Dennis
39
1981
Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009
Chas, Moira; Sullivan, Dennis
38
2004
Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020
Simons, James; Sullivan, Dennis
36
2008
Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025
Sullivan, Dennis; Thurston, William
36
1983
Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001
Sullivan, Dennis P.
35
2005
A counterexample to the periodic orbit conjecture. Zbl 0372.58011
Sullivan, Dennis
33
1976
Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021
Sullivan, D. P.
31
1996
Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018
Sullivan, Dennis
30
1993
Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
29
2010
Rufus Bowen (1947-1978). Zbl 0418.01006
Sullivan, Dennis
28
1979
Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013
Connes, Alain; Sullivan, Dennis; Teleman, Nicolas
28
1994
Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082
Sullivan, Dennis
25
2004
On the Kervaire obstruction. Zbl 0227.57012
Rourke, C. P.; Sullivan, D. P.
25
1971
A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015
Sullivan, Dennis
24
1978
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
22
1987
On complexes that are Lipschitz manifolds. Zbl 0478.57008
Siebenmann, L.; Sullivan, D.
22
1979
Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030
Sullivan, Dennis
20
1987
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
19
1981
Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006
Sullivan, Dennis
18
1981
Fibres vectoriels complexes à groupe structural discret. Zbl 0317.55016
Deligne, Pierre; Sullivan, Dennis
18
1975
A finiteness theorem for cusps. Zbl 0502.57004
Sullivan, Dennis
17
1981
A formula for topology/deformations and its significance. Zbl 1300.55024
Lawrence, Ruth; Sullivan, Dennis
17
2014
On the locally branched Euclidean metric gauge. Zbl 1019.58002
Heinonen, Juha; Sullivan, Dennis
16
2002
Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025
Tradler, Thomas; Zeinalian, Mahmoud
16
2007
Genericity theorems in topological dynamics. Zbl 0341.54053
Palis, J.; Pugh, C.; Shub, M.; Sullivan, D.
16
1975
Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010
Hu, Jun; Sullivan, Dennis P.
15
1997
Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069
Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland
14
1986
The Euler characteristic of an affine space form is zero. Zbl 0313.57009
Kostant, Bertram; Sullivan, D.
14
1975
On the Hauptvermutung for manifolds. Zbl 0153.54002
Sullivan, D.
14
1967
Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070
Norton, Alec; Sullivan, Dennis
13
1996
Solenoidal manifolds. Zbl 1323.57018
Sullivan, Dennis
13
2014
Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027
Sullivan, Dennis
13
1988
String topology background and present state. Zbl 1171.55003
Sullivan, Dennis
12
2007
Itération des fonctions analytiques complexes. Zbl 0496.30016
Sullivan, Dennis
12
1982
A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017
Sullivan, Dennis
12
1976
On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003
Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P.
11
1990
\(p\)-universal spaces and rational homotopy types. Zbl 0905.55008
Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis
11
1998
An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045
Sullivan, D.; Teleman, N.
11
1983
The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002
Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis
10
2008
Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026
Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis
10
1996
Singularities in spaces. Zbl 0233.57006
Sullivan, D.
10
1971
The circle and the solenoid. Zbl 1121.37032
Pinto, A. A.; Sullivan, D.
9
2006
Geometric periodicity and the invariants of manifolds. Zbl 0224.57002
Sullivan, Dennis
9
1971
On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006
Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P.
8
1985
Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046
Gambaudo, J. M.; Sullivan, D.; Tresser, C.
8
1994
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
8
1976
Exterior \(d\), the local degree, and smoothability. Zbl 0926.57027
Sullivan, Dennis
8
1995
Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035
Deligne, Pierre; Sullivan, Dennis
8
1983
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis
7
1984
René Thom’s work on geometric homology and bordism. Zbl 1045.57001
Sullivan, Dennis
7
2004
Expanding direction of the period doubling operator. Zbl 0761.58038
Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis
6
1992
Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and Hausdorff dimension two. Zbl 0486.30035
Sullivan, Dennis
6
1981
On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067
Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis
6
2003
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
6
2008
Geometric topology. Localization, periodicity and Galois symmetry. (Geometriceskaja topologija. Lokalizacija, periodicnost’ i simmetrija Galua.) Translated from the English and edited by D. B. Fuks. Zbl 0366.57003
Sullivan, Dennis
6
1975
On the regular neighborhood of a two-sided submanifold. Zbl 0177.52201
Cohen, M.; Sullivan, D.
6
1970
The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012
5
1996
On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068
Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis
5
2003
Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture. Zbl 0735.30039
Hardt, Robert; Sullivan, Dennis
4
1988
Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046
Pignataro, Thea; Sullivan, Dennis
4
1986
Lacunary series as quadratic differentials in conformal dynamics. Zbl 0814.30027
Gardiner, Frederick P.; Sullivan, Dennis
4
1994
Differentiable structures on fractal like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0707.58038
Sullivan, Dennis
4
1988
Lattice hydrodynamics. Zbl 1467.76042
Sullivan, Dennis
1
2020
A decade of Thurston stories. Zbl 1452.57002
Sullivan, Dennis
1
2020
Generalized Euler classes, differential forms and commutative DGAs. Zbl 1461.55009
Gorokhovsky, Alexander; Sullivan, Dennis; Xie, Zhizhang
1
2019
Marcel Berger remembered. Zbl 1377.01033
Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten
1
2017
A discourse on the measurable Riemann mapping theorem & incompressible fluid motion. Zbl 1361.30016
Sullivan, Dennis
1
2016
William P. Thurston, 1946–2012. Zbl 1338.55002
Haefliger, André; Epstein, David; Sullivan, Dennis P.
3
2015
Transverse string topology and the cord algebra. Zbl 1320.57013
Basu, Somnath; McGibbon, Jason; Sullivan, Dennis; Sullivan, Michael
1
2015
A formula for topology/deformations and its significance. Zbl 1300.55024
Lawrence, Ruth; Sullivan, Dennis
17
2014
Solenoidal manifolds. Zbl 1323.57018
Sullivan, Dennis
13
2014
3D incompressible fluids: combinatorial models, eigenspace models, and a conjecture about well-posedness of the 3D zero viscosity limit. Zbl 1300.35104
Sullivan, Dennis
1
2014
Differential characters for \(K\)-theory. Zbl 1256.19007
Simons, James; Sullivan, Dennis
1
2012
Algebra, topology and algebraic topology of 3D ideal fluids. Zbl 1238.35105
Sullivan, Dennis
2
2011
A finite time blowup result for quadratic ODE’s. Zbl 1250.34029
Sullivan, Dennis
2
2011
Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
29
2010
Mathematical aspects of quantum field theory. With foreword by Dennis Sullivan. Zbl 1200.81001
de Faria, Edson; de Melo, Welington
4
2010
String topology in dimensions two and three. Zbl 1185.55013
Chas, Moira; Sullivan, Dennis
100
2009
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs. Zbl 1197.55007
Sullivan, Dennis
2
2009
Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020
Simons, James; Sullivan, Dennis
36
2008
The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002
Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis
10
2008
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
6
2008
Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025
Tradler, Thomas; Zeinalian, Mahmoud
16
2007
String topology background and present state. Zbl 1171.55003
Sullivan, Dennis
12
2007
The circle and the solenoid. Zbl 1121.37032
Pinto, A. A.; Sullivan, D.
9
2006
Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001
Sullivan, Dennis P.
35
2005
Sigma models and string topology. Zbl 1080.53085
Sullivan, Dennis
4
2005
Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009
Chas, Moira; Sullivan, Dennis
38
2004
Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082
Sullivan, Dennis
25
2004
René Thom’s work on geometric homology and bordism. Zbl 1045.57001
Sullivan, Dennis
7
2004
On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067
Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis
6
2003
On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068
Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis
5
2003
On the locally branched Euclidean metric gauge. Zbl 1019.58002
Heinonen, Juha; Sullivan, Dennis
16
2002
fn the foundation of geometry, analysis, and the differentiable structure for manifolds. Zbl 1019.58001
Sullivan, Dennis
1
1999
Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028
McMullen, Curtis T.; Sullivan, Dennis P.
64
1998
\(p\)-universal spaces and rational homotopy types. Zbl 0905.55008
Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis
11
1998
Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010
Hu, Jun; Sullivan, Dennis P.
15
1997
Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021
Sullivan, D. P.
31
1996
Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070
Norton, Alec; Sullivan, Dennis
13
1996
Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026
Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis
10
1996
The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012
5
1996
Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle. Zbl 0820.30027
Nag, Subhashis; Sullivan, Dennis
59
1995
Exterior \(d\), the local degree, and smoothability. Zbl 0926.57027
Sullivan, Dennis
8
1995
Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013
Connes, Alain; Sullivan, Dennis; Teleman, Nicolas
28
1994
Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046
Gambaudo, J. M.; Sullivan, D.; Tresser, C.
8
1994
Lacunary series as quadratic differentials in conformal dynamics. Zbl 0814.30027
Gardiner, Frederick P.; Sullivan, Dennis
4
1994
Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018
Sullivan, Dennis
30
1993
Local formulas for topological Pontrjagin classes. (Formules locales pour les classes de Pontrjagin topologiques.) Zbl 0782.57015
Connes, Alain; Sullivan, Dennis; Teleman, Nicolas
2
1993
Symmetric structures on a closed curve. Zbl 0778.30045
Gardiner, Frederick P.; Sullivan, Dennis P.
104
1992
Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016
Sullivan, Dennis
100
1992
Expanding direction of the period doubling operator. Zbl 0761.58038
Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis
6
1992
On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003
Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P.
11
1990
Théorie homotopique des formes différentielles (d’après D. Sullivan). 2nd éd. revue et augmentée. Bibliographie complétée et mise à jour par Daniel Tanré. (Homotopy theory of differential forms). 2nd éd. revue et augmentée. Bibliographie complétée et mise à jour par Daniel Tanré. Zbl 0705.55001
Lehmann, Daniel
1
1990
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
67
1989
Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027
Sullivan, Dennis
13
1988
Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture. Zbl 0735.30039
Hardt, Robert; Sullivan, Dennis
4
1988
Differentiable structures on fractal like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0707.58038
Sullivan, Dennis
4
1988
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
123
1987
Related aspects of positivity in Riemannian geometry. Zbl 0615.53029
Sullivan, Dennis
110
1987
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
22
1987
Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030
Sullivan, Dennis
20
1987
Series in binomial and factorial coefficients. Zbl 0654.40001
Sullivan, D.; Sullivan, Jillian C. F.
1
1987
Extending holomorphic motions. Zbl 0619.30026
Sullivan, Dennis P.; Thurston, William P.
55
1986
Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069
Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland
14
1986
Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046
Pignataro, Thea; Sullivan, Dennis
4
1986
Related aspects of positivity: \(\lambda\)-potential theory on manifolds, lowest eigenstates, Hausdorff geometry, renormalized Markoff processes.. Zbl 0587.53048
Sullivan, Dennis
3
1986
Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022
Sullivan, Dennis
222
1985
Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044
Sullivan, Dennis
82
1985
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
49
1985
On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006
Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P.
8
1985
Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022
Sullivan, Dennis
196
1984
Function theory, random paths and covering spaces. Zbl 0554.58022
Lyons, Terry; Sullivan, Dennis
89
1984
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis
7
1984
Brownian motion and harmonic functions on the class surface of the thrice punctured sphere. Zbl 0541.60076
McKean, H. P.; Sullivan, D.
4
1984
Nilpotent bases for distributions and control systems. Zbl 0507.58007
Hermes, Henry; Lundell, Albert; Sullivan, Dennis
4
1984
The wave equation and periodicity. Zbl 0547.35061
Sullivan, D.
1
1984
On the dynamics of rational maps. Zbl 0524.58025
Mane, R.; Sad, P.; Sullivan, D.
252
1983
The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037
Sullivan, D.
79
1983
Conformal dynamical systems. Zbl 0524.58024
Sullivan, Dennis
71
1983
On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032
Curry, James H.; Garnett, Lucy; Sullivan, Dennis
69
1983
Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025
Sullivan, Dennis; Thurston, William
36
1983
An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045
Sullivan, D.; Teleman, N.
11
1983
Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035
Deligne, Pierre; Sullivan, Dennis
8
1983
Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028
Sullivan, Dennis
95
1982
Discrete conformal groups and measurable dynamics. Zbl 0489.58027
Sullivan, Dennis
62
1982
Itération des fonctions analytiques complexes. Zbl 0496.30016
Sullivan, Dennis
12
1982
On lifting automorphisms. Zbl 0514.46042
Sullivan, Dennis; Wright, J. D. Maitland
1
1982
On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015
Sullivan, Dennis
80
1981
For \(n>3\) there is only one finitely additive rotationally invariant measure on the n-sphere defined on all Lebesgue measurable subsets. Zbl 0459.28009
Sullivan, Dennis
39
1981
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
19
1981
Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006
Sullivan, Dennis
18
1981
A finiteness theorem for cusps. Zbl 0502.57004
Sullivan, Dennis
17
1981
Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and Hausdorff dimension two. Zbl 0486.30035
Sullivan, Dennis
6
1981
On lifting automorphisms of monotone sigma-complete C*-algebras. Zbl 0477.46049
Sullivan, Dennis; Wright, J. D. Maitland
2
1981
The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034
Sullivan, Dennis
245
1979
A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025
Sullivan, Dennis
48
1979
Hyperbolic geometry and homeomorphisms. Zbl 0478.57007
Sullivan, Dennis
46
1979
Rufus Bowen (1947-1978). Zbl 0418.01006
Sullivan, Dennis
28
1979
On complexes that are Lipschitz manifolds. Zbl 0478.57008
Siebenmann, L.; Sullivan, D.
22
1979
A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015
Sullivan, Dennis
24
1978
Infinitesimal computations in topology. Zbl 0374.57002
Sullivan, Dennis
659
1977
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
44
1977
...and 30 more Documents
all top 5

Cited by 3,605 Authors

40 Félix, Yves
28 Jiang, Yunping
28 Papadima, Ștefan
27 Lyubich, Mikhail
27 Oh, Hee
27 Sullivan, Dennis Parnell
25 Suciu, Alexander I.
25 Tomassini, Adriano
23 Halperin, Stephen
23 Matsuzaki, Katsuhiko
22 Thomas, Jean-Claude
20 Urbański, Mariusz
19 Angella, Daniele
19 Sati, Hisham
18 Shen, Yuliang
17 Blokh, Alexander M.
17 Gatsinzi, Jean-Baptiste
17 Murillo-Mas, Aniceto
17 Yamaguchi, Toshihiro
16 Buijs, Urtzi
16 Muñoz Velázquez, Vicente
16 Oversteegen, Lex G.
16 Pollicott, Mark
16 Tanré, Daniel
15 Sibony, Nessim
14 Fagella, Núria
14 Goldman, William M.
14 Hurder, Steven E.
13 Dujardin, Romain
13 Jezierski, Jerzy
13 Lambrechts, Pascal
13 Levin, Genadi M.
13 Matsumoto, Kengo
13 McMullen, Curtis Tracy
13 Peters, Han
13 Plaza, Sergio
13 Šarić, Dragomir
13 Sergeev, Armen Glebovich
12 Devaney, Robert L.
12 Graff, Grzegorz
12 Kasuya, Hisashi
12 Kontorovich, Alex V.
12 Schreiber, Urs
12 Stephenson, Kenneth
12 Wei, Huaying
11 Bishop, Christopher James
11 Fraser, Jonathan MacDonald
11 Grines, Vyacheslav Zigmundovich
11 Hain, Richard M.
11 Kaimanovich, Vadim A.
11 Ledrappier, François
11 Sukochev, Fedor Anatol’evich
10 Bunke, Ulrich
10 Canary, Richard D.
10 Fernández Rodríguez, Marisa
10 Heinonen, Juha
10 Kapovich, Michael
10 Martin, Gaven J.
10 Minsky, Yair N.
10 Mj, Mahan
10 Pinto, Alberto Adrego
10 Rodríguez García, José Manuel
10 Yampolsky, Michael
9 Alvarez, Sébastien
9 Amat Plata, Sergio
9 Berteloot, François
9 Busquier, Sonia
9 Cieliebak, Kai
9 Cirici, Joana
9 de Faria, Edson
9 de Melo, Welington
9 DeMarco, Laura Grace
9 Deroin, Bertrand
9 Fiorenza, Domenico
9 Graczyk, Jacek
9 He, Zheng-Xu
9 Iwaniec, Tadeusz
9 Kaufmann, Ralph M.
9 Liu, Jinsong
9 Llibre, Jaume
9 Makienko, Peter M.
9 Markl, Martin
9 Martens, Marco
9 Penner, Robert C.
9 Schippers, Eric D.
9 Skvortsov, Evgeny D.
9 Stanley, Donald
9 Stasheff, James D.
9 Świątek, Grzegorz
9 van Strien, Sebastian J.
9 Verjovsky, Alberto
9 Vigué-Poirrier, Micheline
9 Zanin, Dmitriy V.
9 Zeinalian, Mahmoud
8 Avkhadiev, Farit Gabidinovich
8 Bazzoni, Giovanni
8 Bianchi, Fabrizio
8 Bobenko, Alexander Ivanovich
8 Canela, Jordi
8 Carlsen, Toke Meier
...and 3,505 more Authors
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Cited in 411 Serials

207 Transactions of the American Mathematical Society
139 Proceedings of the American Mathematical Society
139 Ergodic Theory and Dynamical Systems
124 Inventiones Mathematicae
118 Advances in Mathematics
107 Topology and its Applications
96 Journal of Pure and Applied Algebra
90 Mathematische Annalen
85 Communications in Mathematical Physics
84 Mathematische Zeitschrift
78 Israel Journal of Mathematics
76 Annales de l’Institut Fourier
73 Algebraic & Geometric Topology
66 Duke Mathematical Journal
62 The Journal of Geometric Analysis
60 Geometriae Dedicata
60 Geometry & Topology
59 Conformal Geometry and Dynamics
57 Journal of Geometry and Physics
53 Acta Mathematica
52 Bulletin of the American Mathematical Society. New Series
46 Geometric and Functional Analysis. GAFA
42 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
40 Journal of Mathematical Analysis and Applications
38 Compositio Mathematica
38 Journal of Functional Analysis
37 Manuscripta Mathematica
35 Journal d’Analyse Mathématique
34 Publications Mathématiques
32 Discrete and Continuous Dynamical Systems
28 Tôhoku Mathematical Journal. Second Series
28 Journal of the American Mathematical Society
27 Journal of High Energy Physics
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Journal of Modern Dynamics
24 Mathematical Proceedings of the Cambridge Philosophical Society
24 Annals of Mathematics. Second Series
24 Journal of Topology
23 Journal of Homotopy and Related Structures
22 Journal of Algebra
22 Forum Mathematicum
22 Journal of Difference Equations and Applications
21 Bulletin de la Société Mathématique de France
21 Annals of Global Analysis and Geometry
21 Journal of Fixed Point Theory and Applications
20 Differential Geometry and its Applications
20 Journal of the European Mathematical Society (JEMS)
19 Nuclear Physics. B
19 Journal of the London Mathematical Society. Second Series
19 Journal für die Reine und Angewandte Mathematik
19 Journal of Mathematical Sciences (New York)
19 Acta Mathematica Sinica. English Series
18 Nonlinearity
18 International Journal of Mathematics
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
18 EMS Surveys in Mathematical Sciences
17 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Journal of Differential Equations
17 Monatshefte für Mathematik
17 Qualitative Theory of Dynamical Systems
17 Bulletin of the American Mathematical Society
16 Proceedings of the London Mathematical Society. Third Series
15 Calculus of Variations and Partial Differential Equations
15 Selecta Mathematica. New Series
15 Journal of Topology and Analysis
15 Science China. Mathematics
14 Computational Methods and Function Theory
13 Journal of Mathematical Physics
13 Bulletin of the London Mathematical Society
13 Michigan Mathematical Journal
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Discrete & Computational Geometry
12 Bulletin of the Australian Mathematical Society
12 Memoirs of the American Mathematical Society
12 Nagoya Mathematical Journal
12 Potential Analysis
12 Annales Academiae Scientiarum Fennicae. Mathematica
12 Journal of Noncommutative Geometry
12 Complex Manifolds
11 Letters in Mathematical Physics
11 Journal of the Mathematical Society of Japan
11 Kodai Mathematical Journal
11 Proceedings of the Japan Academy. Series A
11 Revista Matemática Iberoamericana
11 Science in China. Series A
11 Expositiones Mathematicae
11 Oberwolfach Reports
11 European Journal of Mathematics
10 Journal of Statistical Physics
10 Mathematical Notes
10 Reviews in Mathematical Physics
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Proceedings of the Steklov Institute of Mathematics
10 Groups, Geometry, and Dynamics
9 Arkiv för Matematik
9 Functional Analysis and its Applications
9 \(K\)-Theory
9 Experimental Mathematics
9 Communications in Contemporary Mathematics
...and 311 more Serials
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Cited in 61 Fields

1,357 Dynamical systems and ergodic theory (37-XX)
922 Manifolds and cell complexes (57-XX)
889 Algebraic topology (55-XX)
802 Functions of a complex variable (30-XX)
781 Differential geometry (53-XX)
512 Several complex variables and analytic spaces (32-XX)
501 Global analysis, analysis on manifolds (58-XX)
293 Group theory and generalizations (20-XX)
269 Algebraic geometry (14-XX)
204 Topological groups, Lie groups (22-XX)
189 Measure and integration (28-XX)
178 Number theory (11-XX)
168 Category theory; homological algebra (18-XX)
155 Quantum theory (81-XX)
126 Convex and discrete geometry (52-XX)
125 Nonassociative rings and algebras (17-XX)
121 Associative rings and algebras (16-XX)
121 Functional analysis (46-XX)
116 Probability theory and stochastic processes (60-XX)
111 General topology (54-XX)
105 Partial differential equations (35-XX)
82 \(K\)-theory (19-XX)
72 Potential theory (31-XX)
67 Combinatorics (05-XX)
63 Relativity and gravitational theory (83-XX)
62 Numerical analysis (65-XX)
51 Commutative algebra (13-XX)
39 Computer science (68-XX)
38 Abstract harmonic analysis (43-XX)
38 Geometry (51-XX)
36 Real functions (26-XX)
36 Operator theory (47-XX)
27 History and biography (01-XX)
27 Mathematical logic and foundations (03-XX)
27 Ordinary differential equations (34-XX)
27 Difference and functional equations (39-XX)
26 General and overarching topics; collections (00-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
23 Mechanics of particles and systems (70-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Field theory and polynomials (12-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
10 Fluid mechanics (76-XX)
8 Approximations and expansions (41-XX)
7 Special functions (33-XX)
6 Systems theory; control (93-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Mechanics of deformable solids (74-XX)
5 Operations research, mathematical programming (90-XX)
4 Information and communication theory, circuits (94-XX)
3 Integral transforms, operational calculus (44-XX)
3 Integral equations (45-XX)
3 Statistics (62-XX)
3 Optics, electromagnetic theory (78-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Biology and other natural sciences (92-XX)
1 General algebraic systems (08-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)

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