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Sullivan, Dennis Parnell

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

Co-Authors

63 single-authored
6 Simons, James
4 Deligne, Pierre René
4 Ranicki, Andrew Alexander
4 Shub, Michael
3 Jiang, Yunping
3 Morgan, John W.
3 Nag, Subhashis
3 Teleman, Nicolae Sinel
3 Wright, John David Maitland
2 Atiyah, Michael Francis
2 Chas, Moira
2 Connes, Alain
2 Gardiner, Frederick P.
2 Griffiths, Phillip Augustus
2 Lawrence, Ruth J.
2 Pignataro, Thea
2 Ranade, Nissim
2 Rourke, Colin P.
2 Thurston, William Paul
2 Vigué-Poirrier, Micheline
1 Aaronson, Jon
1 Armstrong, Mark Anthony
1 Bar-Natan, Dror
1 Bass, Hyman
1 Basu, Somnath
1 Besson, Gérard
1 Biswas, Indranil
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 Lafontaine, Jacques
1 LeBrun, Claude R.
1 Lehmann, Daniel J.
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.
1 Pansu, Pierre
1 Parry, William
1 Penner, Robert C.
1 Phillips, Anthony V.
1 Pinto, Alberto Adrego
1 Pugh, Charles Chapman
...and 30 more Co-Authors
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Serials

11 Topology
8 Journal of Differential Geometry
7 Acta Mathematica
6 Publications Mathématiques
4 Ergodic Theory and Dynamical Systems
4 Annals of Mathematics. Second Series
3 Communications in Mathematical Physics
3 Commentarii Mathematici Helvetici
3 Bulletin of the American Mathematical Society. New Series
3 Notices of the American Mathematical Society
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 L’Enseignement Mathématique. 2e Série
2 Comptes Rendus de l’Académie des Sciences. Série I
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 Pure and Applied Mathematics Quarterly
1 Astérisque
1 Cambridge Studies in Advanced Mathematics
1 Journal of Topology and Analysis
1 Journal of Singularities
1 Contemporary Mathematicians

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 4,378 times in 3,540 Documents Cited by Year
Infinitesimal computations in topology. Zbl 0374.57002
Sullivan, Dennis
546
1977
Real homotopy theory of Kähler manifolds. Zbl 0312.55011
Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis
329
1975
On the dynamics of rational maps. Zbl 0524.58025
Mane, R.; Sad, P.; Sullivan, D.
213
1983
The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034
Sullivan, Dennis
189
1979
Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022
Sullivan, Dennis
172
1985
Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022
Sullivan, Dennis
161
1984
Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015
Sullivan, Dennis
125
1976
Genetics of homotopy theory and the Adams conjecture. Zbl 0355.57007
Sullivan, Dennis
113
1974
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
107
1987
Symmetric structures on a closed curve. Zbl 0778.30045
Gardiner, Frederick P.; Sullivan, Dennis P.
90
1992
Related aspects of positivity in Riemannian geometry. Zbl 0615.53029
Sullivan, Dennis
87
1987
The homology theory of the closed geodesic problem. Zbl 0361.53058
Vigue-Poirrier, Micheline; Sullivan, Dennis
86
1976
Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016
Sullivan, Dennis
83
1992
String topology in dimensions two and three. Zbl 1185.55013
Chas, Moira; Sullivan, Dennis
80
2009
Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028
Sullivan, Dennis
76
1982
Currents, flows and diffeomorphisms. Zbl 0321.58019
Ruelle, David; Sullivan, Dennis
76
1975
Function theory, random paths and covering spaces. Zbl 0554.58022
Lyons, Terry; Sullivan, Dennis
75
1984
Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044
Sullivan, Dennis
71
1985
The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037
Sullivan, D.
66
1983
On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032
Curry, James H.; Garnett, Lucy; Sullivan, Dennis
65
1983
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
61
1989
Discrete conformal groups and measurable dynamics. Zbl 0489.58027
Sullivan, Dennis
59
1982
A remark on the Lefschetz fixed point formula for differentiable maps. Zbl 0291.58014
Shub, M.; Sullivan, D.
57
1974
Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028
McMullen, Curtis T.; Sullivan, Dennis P.
56
1998
A topological invariant of flows on 1-dimensional spaces. Zbl 0314.54045
Parry, Bill; Sullivan, Dennis
56
1975
Extending holomorphic motions. Zbl 0619.30026
Sullivan, Dennis P.; Thurston, William P.
50
1986
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
46
1995
A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025
Sullivan, Dennis
43
1979
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
42
1977
The transversality characteristic class and linking cycles in surgery theory. Zbl 0295.57008
Morgan, John W.; Sullivan, Dennis P.
39
1974
On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015
Sullivan, Dennis
38
1981
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
37
1985
Homology theory and dynamical systems. Zbl 0408.58023
Shub, M.; Sullivan, D.
37
1975
On the intersection ring of compact three manifolds. Zbl 0312.57003
Sullivan, Dennis
37
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
35
1981
Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009
Chas, Moira; Sullivan, Dennis
34
2004
Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020
Simons, James; Sullivan, Dennis
32
2008
Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025
Sullivan, Dennis; Thurston, William
32
1983
A counterexample to the periodic orbit conjecture. Zbl 0372.58011
Sullivan, Dennis
29
1976
Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021
Sullivan, D. P.
28
1996
Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
27
2010
On the Kervaire obstruction. Zbl 0227.57012
Rourke, C. P.; Sullivan, D. P.
25
1971
Combinatorial invariants of analytic spaces. Zbl 0227.32005
Sullivan, D.
25
1971
Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018
Sullivan, Dennis
25
1993
Conformal dynamical systems. Zbl 0524.58024
Sullivan, Dennis
25
1983
Rufus Bowen (1947-1978). Zbl 0418.01006
Sullivan, Dennis
21
1979
Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013
Connes, Alain; Sullivan, Dennis; Teleman, Nicolas
21
1994
Differential forms and the topology of manifolds. Zbl 0319.58005
Sullivan, D.
21
1975
Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001
Sullivan, Dennis P.
20
2005
A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015
Sullivan, Dennis
19
1978
On complexes that are Lipschitz manifolds. Zbl 0478.57008
Siebenmann, L.; Sullivan, D.
18
1979
Hyperbolic geometry and homeomorphisms. Zbl 0478.57007
Sullivan, Dennis
17
1979
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
16
1981
On the locally branched Euclidean metric gauge. Zbl 1019.58002
Heinonen, Juha; Sullivan, Dennis
15
2002
A finiteness theorem for cusps. Zbl 0502.57004
Sullivan, Dennis
15
1981
Fibres vectoriels complexes à groupe structural discret. Zbl 0317.55016
Deligne, Pierre; Sullivan, Dennis
15
1975
Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082
Sullivan, Dennis
14
2004
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
14
1987
The Euler characteristic of an affine space form is zero. Zbl 0313.57009
Kostant, Bertram; Sullivan, D.
14
1975
Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010
Hu, Jun; Sullivan, Dennis P.
13
1997
A formula for topology/deformations and its significance. Zbl 1300.55024
Lawrence, Ruth; Sullivan, Dennis
13
2014
Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069
Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland
12
1986
Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025
Tradler, Thomas; Zeinalian, Mahmoud
12
2007
Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006
Sullivan, Dennis
12
1981
Genericity theorems in topological dynamics. Zbl 0341.54053
Palis, J.; Pugh, C.; Shub, M.; Sullivan, D.
12
1975
An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045
Sullivan, D.; Teleman, N.
11
1983
On the Hauptvermutung for manifolds. Zbl 0153.54002
Sullivan, D.
11
1967
Itération des fonctions analytiques complexes. Zbl 0496.30016
Sullivan, Dennis
10
1982
A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017
Sullivan, Dennis
10
1976
String topology background and present state. Zbl 1171.55003
Sullivan, Dennis
10
2007
On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003
Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P.
9
1990
Singularities in spaces. Zbl 0233.57006
Sullivan, D.
9
1971
\(p\)-universal spaces and rational homotopy types. Zbl 0905.55008
Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis
8
1998
The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002
Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis
8
2008
Exterior \(d\), the local degree, and smoothability. Zbl 0926.57027
Sullivan, Dennis
8
1995
Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026
Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis
8
1996
Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046
Gambaudo, J. M.; Sullivan, D.; Tresser, C.
8
1994
Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070
Norton, Alec; Sullivan, Dennis
8
1996
The circle and the solenoid. Zbl 1121.37032
Pinto, A. A.; Sullivan, D.
8
2006
On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006
Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P.
7
1985
Geometric periodicity and the invariants of manifolds. Zbl 0224.57002
Sullivan, Dennis
7
1971
Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030
Sullivan, Dennis
7
1987
Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035
Deligne, Pierre; Sullivan, Dennis
7
1983
Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027
Sullivan, Dennis
7
1988
Solenoidal manifolds. Zbl 1323.57018
Sullivan, Dennis
7
2014
Expanding direction of the period doubling operator. Zbl 0761.58038
Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis
6
1992
On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067
Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis
6
2003
René Thom’s work on geometric homology and bordism. Zbl 1045.57001
Sullivan, Dennis
6
2004
On the regular neighborhood of a two-sided submanifold. Zbl 0177.52201
Cohen, M.; Sullivan, D.
6
1970
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
6
1976
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis
5
1984
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
5
1975
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
On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068
Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis
4
2003
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
4
2008
A new flow. Zbl 0344.58017
Sullivan, Dennis
4
1976
Nilpotent bases for distributions and control systems. Zbl 0507.58007
Hermes, Henry; Lundell, Albert; Sullivan, Dennis
4
1984
A semi-local combinatorial formula for the signature of a 4kmanifold. Zbl 0328.57003
Ranicki, Andrew; Sullivan, Dennis
4
1976
Sigma models and string topology. Zbl 1080.53085
Sullivan, Dennis
4
2005
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
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
13
2014
Solenoidal manifolds. Zbl 1323.57018
Sullivan, Dennis
7
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
1
2011
A finite time blowup result for quadratic ODE’s. Zbl 1250.34029
Sullivan, Dennis
1
2011
Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
27
2010
Mathematical aspects of quantum field theory. With foreword by Dennis Sullivan. Zbl 1200.81001
de Faria, Edson; de Melo, Welington
2
2010
String topology in dimensions two and three. Zbl 1185.55013
Chas, Moira; Sullivan, Dennis
80
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
32
2008
The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002
Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis
8
2008
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
4
2008
Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025
Tradler, Thomas; Zeinalian, Mahmoud
12
2007
String topology background and present state. Zbl 1171.55003
Sullivan, Dennis
10
2007
The circle and the solenoid. Zbl 1121.37032
Pinto, A. A.; Sullivan, D.
8
2006
Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001
Sullivan, Dennis P.
20
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
34
2004
Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082
Sullivan, Dennis
14
2004
René Thom’s work on geometric homology and bordism. Zbl 1045.57001
Sullivan, Dennis
6
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
4
2003
On the locally branched Euclidean metric gauge. Zbl 1019.58002
Heinonen, Juha; Sullivan, Dennis
15
2002
Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028
McMullen, Curtis T.; Sullivan, Dennis P.
56
1998
\(p\)-universal spaces and rational homotopy types. Zbl 0905.55008
Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis
8
1998
Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010
Hu, Jun; Sullivan, Dennis P.
13
1997
Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021
Sullivan, D. P.
28
1996
Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026
Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis
8
1996
Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070
Norton, Alec; Sullivan, Dennis
8
1996
The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012
3
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
46
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
21
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
3
1994
Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018
Sullivan, Dennis
25
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.
90
1992
Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016
Sullivan, Dennis
83
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.
9
1990
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
61
1989
Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027
Sullivan, Dennis
7
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
3
1988
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
107
1987
Related aspects of positivity in Riemannian geometry. Zbl 0615.53029
Sullivan, Dennis
87
1987
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
14
1987
Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030
Sullivan, Dennis
7
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.
50
1986
Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069
Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland
12
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
172
1985
Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044
Sullivan, Dennis
71
1985
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
37
1985
On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006
Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P.
7
1985
Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022
Sullivan, Dennis
161
1984
Function theory, random paths and covering spaces. Zbl 0554.58022
Lyons, Terry; Sullivan, Dennis
75
1984
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis
5
1984
Nilpotent bases for distributions and control systems. Zbl 0507.58007
Hermes, Henry; Lundell, Albert; Sullivan, Dennis
4
1984
Brownian motion and harmonic functions on the class surface of the thrice punctured sphere. Zbl 0541.60076
McKean, H. P.; Sullivan, D.
3
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.
213
1983
The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037
Sullivan, D.
66
1983
On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032
Curry, James H.; Garnett, Lucy; Sullivan, Dennis
65
1983
Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025
Sullivan, Dennis; Thurston, William
32
1983
Conformal dynamical systems. Zbl 0524.58024
Sullivan, Dennis
25
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
7
1983
Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028
Sullivan, Dennis
76
1982
Discrete conformal groups and measurable dynamics. Zbl 0489.58027
Sullivan, Dennis
59
1982
Itération des fonctions analytiques complexes. Zbl 0496.30016
Sullivan, Dennis
10
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
38
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
35
1981
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
16
1981
A finiteness theorem for cusps. Zbl 0502.57004
Sullivan, Dennis
15
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
12
1981
On lifting automorphisms of monotone sigma-complete C*-algebras. Zbl 0477.46049
Sullivan, Dennis; Wright, J. D. Maitland
2
1981
Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and Hausdorff dimension two. Zbl 0486.30035
Sullivan, Dennis
1
1981
The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034
Sullivan, Dennis
189
1979
A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025
Sullivan, Dennis
43
1979
Rufus Bowen (1947-1978). Zbl 0418.01006
Sullivan, Dennis
21
1979
On complexes that are Lipschitz manifolds. Zbl 0478.57008
Siebenmann, L.; Sullivan, D.
18
1979
Hyperbolic geometry and homeomorphisms. Zbl 0478.57007
Sullivan, Dennis
17
1979
A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015
Sullivan, Dennis
19
1978
Infinitesimal computations in topology. Zbl 0374.57002
Sullivan, Dennis
546
1977
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
42
1977
Real homotopy theory of Kähler manifolds. Zbl 0355.55016
Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis
2
1977
Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015
Sullivan, Dennis
125
1976
The homology theory of the closed geodesic problem. Zbl 0361.53058
Vigue-Poirrier, Micheline; Sullivan, Dennis
86
1976
A counterexample to the periodic orbit conjecture. Zbl 0372.58011
Sullivan, Dennis
29
1976
A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017
Sullivan, Dennis
10
1976
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
6
1976
A new flow. Zbl 0344.58017
Sullivan, Dennis
4
1976
A semi-local combinatorial formula for the signature of a 4kmanifold. Zbl 0328.57003
Ranicki, Andrew; Sullivan, Dennis
4
1976
...and 22 more Documents
all top 5

Cited by 3,067 Authors

35 Félix, Yves
27 Papadima, Ștefan
26 Lyubich, Mikhail
24 Jiang, Yunping
24 Suciu, Alexander I.
24 Sullivan, Dennis Parnell
23 Tomassini, Adriano
21 Thomas, Jean-Claude
20 Halperin, Stephen
18 Angella, Daniele
17 Shen, Yuliang
16 Matsuzaki, Katsuhiko
16 Murillo-Mas, Aniceto
16 Urbański, Mariusz
15 Buijs, Urtzi
15 Muñoz Velázquez, Vicente
15 Yamaguchi, Toshihiro
14 Goldman, William M.
14 Oh, Hee
14 Sati, Hisham
14 Sibony, Nessim
13 Hurder, Steven E.
13 Lambrechts, Pascal
13 McMullen, Curtis Tracy
13 Plaza, Sergio
13 Pollicott, Mark
13 Tanré, Daniel
12 Devaney, Robert L.
12 Fagella, Núria
12 Graff, Grzegorz
12 Jezierski, Jerzy
12 Matsumoto, Kengo
12 Sergeev, Armen Glebovich
12 Stephenson, Kenneth
11 Gatsinzi, Jean-Baptiste
11 Levin, Genadi M.
11 Šarić, Dragomir
10 Blokh, Alexander M.
10 Fernández Rodríguez, Marisa
10 Hain, Richard M.
10 Heinonen, Juha
10 Kasuya, Hisashi
10 Ledrappier, François
10 Martin, Gaven J.
10 Oversteegen, Lex G.
10 Peters, Han
9 Bishop, Christopher James
9 Bunke, Ulrich
9 Dujardin, Romain
9 He, Zheng-Xu
9 Iwaniec, Tadeusz
9 Kaimanovich, Vadim A.
9 Liu, Jinsong
9 Martens, Marco
9 Pinto, Alberto Adrego
9 Stanley, Donald A.
9 Vigué-Poirrier, Micheline
8 Amat, Sergio P.
8 Bobenko, Alexander Ivanovich
8 Busquier, Sonia
8 de Melo, Welington
8 Deroin, Bertrand
8 Dimca, Alexandru
8 Eilers, Søren
8 Fornæss, John Erik
8 Holopainen, Ilkka
8 Jessup, Barry
8 Kontorovich, Alex V.
8 Llibre, Jaume
8 Makienko, Peter M.
8 Markl, Martin
8 Ohshika, Ken’ichi
8 Penner, Robert C.
8 Rodríguez García, José Manuel
8 Schramm, Oded
8 Schreiber, Urs
8 Souto, Juan
8 Stasheff, James D.
8 Stratmann, Bernd O.
8 Tang, ShuAn
8 Triantafillou, Georgia Visnjic
8 Verjovsky, Alberto
8 Weinberger, Shmuel
7 Avkhadiev, Farit Gabidinovich
7 Bazzoni, Giovanni
7 Bourgain, Jean
7 Cabrera, Carlos
7 Canary, Richard D.
7 Carlsen, Toke Meier
7 Cieliebak, Kai
7 Clark, Alex
7 Cui, Guizhen
7 DeMarco, Laura Grace
7 Fiorenza, Domenico
7 Freed, Daniel Stuart
7 Grines, Vyacheslav Zigmundovich
7 Guillarmou, Colin
7 Kaufmann, Ralph M.
7 Long, Yiming
7 Lupton, Gregory M.
...and 2,967 more Authors
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Cited in 355 Serials

192 Transactions of the American Mathematical Society
128 Proceedings of the American Mathematical Society
116 Ergodic Theory and Dynamical Systems
113 Inventiones Mathematicae
97 Topology and its Applications
94 Advances in Mathematics
88 Journal of Pure and Applied Algebra
81 Mathematische Annalen
79 Communications in Mathematical Physics
75 Mathematische Zeitschrift
72 Annales de l’Institut Fourier
70 Israel Journal of Mathematics
62 Algebraic & Geometric Topology
61 Duke Mathematical Journal
54 Conformal Geometry and Dynamics
53 Acta Mathematica
51 Geometry & Topology
50 Bulletin of the American Mathematical Society. New Series
49 Geometriae Dedicata
48 Journal of Geometry and Physics
48 The Journal of Geometric Analysis
40 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
39 Geometric and Functional Analysis. GAFA
36 Journal of Mathematical Analysis and Applications
36 Manuscripta Mathematica
33 Publications Mathématiques
31 Journal d’Analyse Mathématique
30 Compositio Mathematica
30 Journal of Functional Analysis
28 Tohoku Mathematical Journal. Second Series
27 Discrete and Continuous Dynamical Systems
26 Journal of the American Mathematical Society
24 Annals of Mathematics. Second Series
23 Mathematical Proceedings of the Cambridge Philosophical Society
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Journal of Algebra
21 Journal of Difference Equations and Applications
20 Forum Mathematicum
20 Differential Geometry and its Applications
18 Journal of Mathematical Sciences (New York)
18 Acta Mathematica Sinica. English Series
18 Journal of Homotopy and Related Structures
17 Bulletin of the American Mathematical Society
17 Journal of Fixed Point Theory and Applications
17 Journal of Modern Dynamics
16 Annals of Global Analysis and Geometry
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
15 Nuclear Physics. B
15 Journal of Differential Equations
15 Monatshefte für Mathematik
15 International Journal of Mathematics
15 Journal of the European Mathematical Society (JEMS)
14 Annali di Matematica Pura ed Applicata. Serie Quarta
14 Journal für die Reine und Angewandte Mathematik
14 Journal of High Energy Physics
14 Qualitative Theory of Dynamical Systems
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Computational Methods and Function Theory
13 Science China. Mathematics
12 Journal of Mathematical Physics
12 Discrete & Computational Geometry
12 Annales Academiae Scientiarum Fennicae. Mathematica
11 Bulletin de la Société Mathématique de France
11 Kodai Mathematical Journal
11 Michigan Mathematical Journal
11 Nagoya Mathematical Journal
11 Proceedings of the Japan Academy. Series A
11 Science in China. Series A
11 Potential Analysis
11 Calculus of Variations and Partial Differential Equations
11 Selecta Mathematica. New Series
11 Journal of Topology and Analysis
10 Bulletin of the Australian Mathematical Society
10 Journal of Statistical Physics
10 Letters in Mathematical Physics
10 Mathematical Notes
10 Nonlinearity
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Proceedings of the Steklov Institute of Mathematics
10 Journal of Noncommutative Geometry
10 Groups, Geometry, and Dynamics
10 Journal of Topology
9 Arkiv för Matematik
9 Functional Analysis and its Applications
9 Memoirs of the American Mathematical Society
9 \(K\)-Theory
9 Revista Matemática Iberoamericana
9 Expositiones Mathematicae
8 Journal of the Mathematical Society of Japan
8 Siberian Mathematical Journal
8 Indagationes Mathematicae. New Series
8 Boletín de la Sociedad Matemática Mexicana. Third Series
8 Communications in Contemporary Mathematics
8 European Journal of Mathematics
8 Higher Structures
7 Reviews in Mathematical Physics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Archiv der Mathematik
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 255 more Serials
all top 5

Cited in 60 Fields

1,087 Dynamical systems and ergodic theory (37-XX)
783 Manifolds and cell complexes (57-XX)
760 Algebraic topology (55-XX)
683 Functions of a complex variable (30-XX)
646 Differential geometry (53-XX)
432 Global analysis, analysis on manifolds (58-XX)
419 Several complex variables and analytic spaces (32-XX)
227 Group theory and generalizations (20-XX)
207 Algebraic geometry (14-XX)
158 Measure and integration (28-XX)
157 Topological groups, Lie groups (22-XX)
138 Category theory; homological algebra (18-XX)
135 Number theory (11-XX)
119 Quantum theory (81-XX)
106 Nonassociative rings and algebras (17-XX)
103 Associative rings and algebras (16-XX)
102 Functional analysis (46-XX)
101 Convex and discrete geometry (52-XX)
94 Probability theory and stochastic processes (60-XX)
91 General topology (54-XX)
79 Partial differential equations (35-XX)
71 \(K\)-theory (19-XX)
58 Potential theory (31-XX)
54 Numerical analysis (65-XX)
51 Combinatorics (05-XX)
48 Relativity and gravitational theory (83-XX)
44 Commutative algebra (13-XX)
33 Computer science (68-XX)
30 Real functions (26-XX)
30 Abstract harmonic analysis (43-XX)
27 Ordinary differential equations (34-XX)
27 Operator theory (47-XX)
25 Difference and functional equations (39-XX)
23 Geometry (51-XX)
21 Statistical mechanics, structure of matter (82-XX)
20 History and biography (01-XX)
20 Field theory and polynomials (12-XX)
19 Mathematical logic and foundations (03-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
17 Mechanics of particles and systems (70-XX)
16 General and overarching topics; collections (00-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
8 Approximations and expansions (41-XX)
8 Fluid mechanics (76-XX)
6 Systems theory; control (93-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Special functions (33-XX)
5 Operations research, mathematical programming (90-XX)
4 Mechanics of deformable solids (74-XX)
4 Information and communication theory, circuits (94-XX)
3 Integral transforms, operational calculus (44-XX)
3 Integral equations (45-XX)
2 Statistics (62-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

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