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## Sullivan, Dennis Parnell

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 Author ID: sullivan.dennis-p Published as: Sullivan, D.; Sullivan, D. P.; Sullivan, Dennis; Sullivan, Dennis P. Homepage: http://www.math.stonybrook.edu/~dennis/ External Links: MGP · Math-Net.Ru · Wikidata · MathOverflow · GND · MacTutor Awards: Wolf Prize (2010)
 Documents Indexed: 137 Publications since 1967, including 3 Books Biographic References: 5 Publications
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#### Co-Authors

 63 single-authored 6 Simons, James 4 Deligne, Pierre René 4 Shub, Michael 3 Jiang, Yunping 3 Morgan, John W. 3 Nag, Subhashis 3 Ranicki, Andrew A. 3 Teleman, Nicolae Sinel 3 Wright, John David Maitland 2 Chas, Moira 2 Connes, Alain 2 Gardiner, Frederick P. 2 Griffiths, Phillip Augustus 2 Pignataro, Thea 2 Rourke, Colin P. 2 Thurston, William Paul 2 Vigué-Poirrier, Micheline 1 Aaronson, Jon 1 Armstrong, Mark Anthony 1 Atiyah, Michael Francis 1 Bass, Hyman 1 Basu, Somnath 1 Besson, Gérard 1 Biswas, Indranil 1 Body, Richard 1 Bourguignon, Jean-Pierre 1 Brown, Ken 1 Casson, Andrew J. 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 Dodziuk, Jozef 1 Donaldson, Simon Kirwan 1 Duflot, Jeanne 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 Gorokhovsky, Alexander 1 Grayson, Daniel Richard 1 Gromov, Mikhael Leonidovich 1 Grove, Karsten 1 Haefliger, André 1 Hardt, Robert M. 1 Heinonen, Juha 1 Hermes, Henry 1 Hu, Jun 1 Katznelson, Yitzhak 1 Kazdan, Jerry L. 1 Kerckhoff, Steve 1 Klein, John Robert 1 Kostant, Bertram 1 Lafontaine, Jacques 1 Lawrence, Ruth J. 1 LeBrun, Claude R. 1 Loday, Jean-Louis 1 Lundell, Albert T. 1 Lyons, Terry G. 1 Mañé, Ricardo 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 Palis, Jacob jun. 1 Pansu, Pierre 1 Parry, William 1 Phillips, Anthony V. 1 Pinto, Alberto Adrego 1 Pugh, Charles Chapman 1 Quillen, Jean 1 Ranade, Nissim 1 Randol, Burton 1 Rodin, Burton 1 Ruelle, David Pierre 1 Sad, Paulo Roberto 1 Sadanand, Chandrika 1 Segal, Graeme B. 1 Shiga, Hiroo 1 Siebenmann, Laurence C. 1 Stolz, Stephan A. 1 Sullivan, Jillian C. F. 1 Sullivan, Michael A. 1 Teichner, Peter 1 Tillmann, Ulrike 1 Tresser, Charles Philippe ...and 3 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 Journal of Symplectic Geometry 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Journal of Topology and Analysis 1 Journal of Singularities
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#### Fields

 52 Manifolds and cell complexes (57-XX) 34 Dynamical systems and ergodic theory (37-XX) 32 Algebraic topology (55-XX) 29 Functions of a complex variable (30-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Differential geometry (53-XX) 14 General topology (54-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Measure and integration (28-XX) 7 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 4 Number theory (11-XX) 4 $$K$$-theory (19-XX) 4 Partial differential equations (35-XX) 4 Geometry (51-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Functional analysis (46-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

119 Publications have been cited 4,127 times in 3,345 Documents Cited by Year
Infinitesimal computations in topology. Zbl 0374.57002
Sullivan, Dennis
1977
Real homotopy theory of Kähler manifolds. Zbl 0312.55011
Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis
1975
On the dynamics of rational maps. Zbl 0524.58025
Mane, R.; Sad, P.; Sullivan, D.
1983
The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034
Sullivan, Dennis
1979
Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022
Sullivan, Dennis
1985
Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022
Sullivan, Dennis
1984
Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015
Sullivan, Dennis
1976
Genetics of homotopy theory and the Adams conjecture. Zbl 0355.57007
Sullivan, Dennis
1974
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
1987
Symmetric structures on a closed curve. Zbl 0778.30045
Gardiner, Frederick P.; Sullivan, Dennis P.
1992
String topology in dimensions two and three. Zbl 1185.55013
Chas, Moira; Sullivan, Dennis
2009
Related aspects of positivity in Riemannian geometry. Zbl 0615.53029
Sullivan, Dennis
1987
Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016
Sullivan, Dennis
1992
The homology theory of the closed geodesic problem. Zbl 0361.53058
Vigue-Poirrier, Micheline; Sullivan, Dennis
1976
Currents, flows and diffeomorphisms. Zbl 0321.58019
Ruelle, David; Sullivan, Dennis
1975
Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028
Sullivan, Dennis
1982
Function theory, random paths and covering spaces. Zbl 0554.58022
Lyons, Terry; Sullivan, Dennis
1984
Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044
Sullivan, Dennis
1985
On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032
Curry, James H.; Garnett, Lucy; Sullivan, Dennis
1983
The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037
Sullivan, D.
1983
Discrete conformal groups and measurable dynamics. Zbl 0489.58027
Sullivan, Dennis
1982
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
1989
A remark on the Lefschetz fixed point formula for differentiable maps. Zbl 0291.58014
Shub, M.; Sullivan, D.
1974
Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028
McMullen, Curtis T.; Sullivan, Dennis P.
1998
A topological invariant of flows on 1-dimensional spaces. Zbl 0314.54045
Parry, Bill; Sullivan, Dennis
1975
Extending holomorphic motions. Zbl 0619.30026
Sullivan, Dennis P.; Thurston, William P.
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
1995
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
1977
On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015
Sullivan, Dennis
1981
A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025
Sullivan, Dennis
1979
The transversality characteristic class and linking cycles in surgery theory. Zbl 0295.57008
Morgan, John W.; Sullivan, Dennis P.
1974
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
1985
On the intersection ring of compact three manifolds. Zbl 0312.57003
Sullivan, Dennis
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
1981
Homology theory and dynamical systems. Zbl 0408.58023
Shub, M.; Sullivan, D.
1975
Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009
Chas, Moira; Sullivan, Dennis
2004
Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025
Sullivan, Dennis; Thurston, William
1983
Conformal dynamical systems. Zbl 0524.58024
Sullivan, Dennis
1983
Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020
Simons, James; Sullivan, Dennis
2008
Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021
Sullivan, D. P.
1996
Combinatorial invariants of analytic spaces. Zbl 0227.32005
Sullivan, D.
1971
Differential forms and the topology of manifolds. Zbl 0319.58005
Sullivan, D.
1975
A counterexample to the periodic orbit conjecture. Zbl 0372.58011
Sullivan, Dennis
1976
On the Kervaire obstruction. Zbl 0227.57012
Rourke, C. P.; Sullivan, D. P.
1971
Structured vector bundles define differential $$K$$-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
2010
Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018
Sullivan, Dennis
1993
Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013
Connes, Alain; Sullivan, Dennis; Teleman, Nicolas
1994
On complexes that are Lipschitz manifolds. Zbl 0478.57008
Siebenmann, L.; Sullivan, D.
1979
Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001
Sullivan, Dennis P.
2005
Hyperbolic geometry and homeomorphisms. Zbl 0478.57007
Sullivan, Dennis
1979
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
1987
A finiteness theorem for cusps. Zbl 0502.57004
Sullivan, Dennis
1981
Rufus Bowen (1947-1978). Zbl 0418.01006
Sullivan, Dennis
1979
Fibres vectoriels complexes à groupe structural discret. Zbl 0317.55016
Deligne, Pierre; Sullivan, Dennis
1975
On the locally branched Euclidean metric gauge. Zbl 1019.58002
Heinonen, Juha; Sullivan, Dennis
2002
A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015
Sullivan, Dennis
1978
The Euler characteristic of an affine space form is zero. Zbl 0313.57009
Kostant, Bertram; Sullivan, D.
1975
Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082
Sullivan, Dennis
2004
Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010
Hu, Jun; Sullivan, Dennis P.
1997
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
1981
Genericity theorems in topological dynamics. Zbl 0341.54053
Palis, J.; Pugh, C.; Shub, M.; Sullivan, D.
1975
Generic dynamics and monotone complete $$C^ *$$-algebras. Zbl 0617.46069
Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland
1986
On the Hauptvermutung for manifolds. Zbl 0153.54002
Sullivan, D.
1967
A formula for topology/deformations and its significance. Zbl 1300.55024
Lawrence, Ruth; Sullivan, Dennis
2014
An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045
Sullivan, D.; Teleman, N.
1983
Itération des fonctions analytiques complexes. Zbl 0496.30016
Sullivan, Dennis
1982
Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur $$S^ 1$$. Zbl 0459.57006
Sullivan, Dennis
1981
A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017
Sullivan, Dennis
1976
Singularities in spaces. Zbl 0233.57006
Sullivan, D.
1971
The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002
Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis
2008
String topology background and present state. Zbl 1171.55003
Sullivan, Dennis
2007
The circle and the solenoid. Zbl 1121.37032
Pinto, A. A.; Sullivan, D.
2006
$$p$$-universal spaces and rational homotopy types. Zbl 0905.55008
Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis
1998
Wandering domains and invariant conformal structures for mappings of the $$2$$-torus. Zbl 0871.58070
Norton, Alec; Sullivan, Dennis
1996
Exterior $$d$$, the local degree, and smoothability. Zbl 0926.57027
Sullivan, Dennis
1995
Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046
Gambaudo, J. M.; Sullivan, D.; Tresser, C.
1994
Geometric periodicity and the invariants of manifolds. Zbl 0224.57002
Sullivan, Dennis
1971
Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027
Sullivan, Dennis
1988
On the measurable dynamics of $$z\mapsto e^ z$$. Zbl 0616.58006
Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P.
1985
Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035
Deligne, Pierre; Sullivan, Dennis
1983
Solenoidal manifolds. Zbl 1323.57018
Sullivan, Dennis
2014
On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067
Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis
2003
Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026
Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis
1996
Expanding direction of the period doubling operator. Zbl 0761.58038
Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis
1992
On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003
Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P.
1990
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
1976
On the regular neighborhood of a two-sided submanifold. Zbl 0177.52201
Cohen, M.; Sullivan, D.
1970
René Thom’s work on geometric homology and bordism. Zbl 1045.57001
Sullivan, Dennis
2004
Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030
Sullivan, Dennis
1987
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis
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
1975
Sigma models and string topology. Zbl 1080.53085
Sullivan, Dennis
2005
On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068
Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis
2003
Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046
Pignataro, Thea; Sullivan, Dennis
1986
Nilpotent bases for distributions and control systems. Zbl 0507.58007
Hermes, Henry; Lundell, Albert; Sullivan, Dennis
1984
A new flow. Zbl 0344.58017
Sullivan, Dennis
1976
A semi-local combinatorial formula for the signature of a 4kmanifold. Zbl 0328.57003
Ranicki, Andrew; Sullivan, Dennis
1976
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
2008
Lacunary series as quadratic differentials in conformal dynamics. Zbl 0814.30027
Gardiner, Frederick P.; Sullivan, Dennis
1994
Related aspects of positivity: $$\lambda$$-potential theory on manifolds, lowest eigenstates, Hausdorff geometry, renormalized Markoff processes. Zbl 0587.53048
Sullivan, Dennis
1986
Marcel Berger remembered. Zbl 1377.01033
LeBrun, Claude (ed.); 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
2017
Transverse string topology and the cord algebra. Zbl 1320.57013
Basu, Somnath; McGibbon, Jason; Sullivan, Dennis; Sullivan, Michael
2015
A formula for topology/deformations and its significance. Zbl 1300.55024
Lawrence, Ruth; Sullivan, Dennis
2014
Solenoidal manifolds. Zbl 1323.57018
Sullivan, Dennis
2014
Differential characters for $$K$$-theory. Zbl 1256.19007
Simons, James; Sullivan, Dennis
2012
A finite time blowup result for quadratic ODE’s. Zbl 1250.34029
Sullivan, Dennis
2011
Algebra, topology and algebraic topology of 3D ideal fluids. Zbl 1238.35105
Sullivan, Dennis
2011
Structured vector bundles define differential $$K$$-theory. Zbl 1216.19009
Simons, James; Sullivan, Dennis
2010
String topology in dimensions two and three. Zbl 1185.55013
Chas, Moira; Sullivan, Dennis
2009
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs. Zbl 1197.55007
Sullivan, Dennis
2009
Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020
Simons, James; Sullivan, Dennis
2008
The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002
Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis
2008
Structured bundles define differential K-theory. Zbl 1204.57021
Simons, James; Sullivan, Dennis
2008
String topology background and present state. Zbl 1171.55003
Sullivan, Dennis
2007
The circle and the solenoid. Zbl 1121.37032
Pinto, A. A.; Sullivan, D.
2006
Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001
Sullivan, Dennis P.
2005
Sigma models and string topology. Zbl 1080.53085
Sullivan, Dennis
2005
Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009
Chas, Moira; Sullivan, Dennis
2004
Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082
Sullivan, Dennis
2004
René Thom’s work on geometric homology and bordism. Zbl 1045.57001
Sullivan, Dennis
2004
On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067
Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis
2003
On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068
Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis
2003
On the locally branched Euclidean metric gauge. Zbl 1019.58002
Heinonen, Juha; Sullivan, Dennis
2002
Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028
McMullen, Curtis T.; Sullivan, Dennis P.
1998
$$p$$-universal spaces and rational homotopy types. Zbl 0905.55008
Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis
1998
Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010
Hu, Jun; Sullivan, Dennis P.
1997
Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021
Sullivan, D. P.
1996
Wandering domains and invariant conformal structures for mappings of the $$2$$-torus. Zbl 0871.58070
Norton, Alec; Sullivan, Dennis
1996
Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026
Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis
1996
The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012
Ranicki, A. A. (ed.); Casson, A. J. (ed.); Sullivan, D. P. (ed.); Armstrong, M. A. (ed.); Rourke, C. P. (ed.); Cooke, G. E. (ed.)
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
1995
Exterior $$d$$, the local degree, and smoothability. Zbl 0926.57027
Sullivan, Dennis
1995
Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013
Connes, Alain; Sullivan, Dennis; Teleman, Nicolas
1994
Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046
Gambaudo, J. M.; Sullivan, D.; Tresser, C.
1994
Lacunary series as quadratic differentials in conformal dynamics. Zbl 0814.30027
Gardiner, Frederick P.; Sullivan, Dennis
1994
Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018
Sullivan, Dennis
1993
Local formulas for topological Pontrjagin classes. Zbl 0782.57015
Connes, Alain; Sullivan, Dennis; Teleman, Nicolas
1993
Symmetric structures on a closed curve. Zbl 0778.30045
Gardiner, Frederick P.; Sullivan, Dennis P.
1992
Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016
Sullivan, Dennis
1992
Expanding direction of the period doubling operator. Zbl 0761.58038
Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis
1992
On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003
Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P.
1990
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
1989
Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027
Sullivan, Dennis
1988
Differentiable structures on fractal like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0707.58038
Sullivan, Dennis
1988
Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture. Zbl 0735.30039
Hardt, Robert; Sullivan, Dennis
1988
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
1987
Related aspects of positivity in Riemannian geometry. Zbl 0615.53029
Sullivan, Dennis
1987
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
1987
Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030
Sullivan, Dennis
1987
Series in binomial and factorial coefficients. Zbl 0654.40001
Sullivan, D.; Sullivan, Jillian C. F.
1987
Extending holomorphic motions. Zbl 0619.30026
Sullivan, Dennis P.; Thurston, William P.
1986
Generic dynamics and monotone complete $$C^ *$$-algebras. Zbl 0617.46069
Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland
1986
Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046
Pignataro, Thea; Sullivan, Dennis
1986
Related aspects of positivity: $$\lambda$$-potential theory on manifolds, lowest eigenstates, Hausdorff geometry, renormalized Markoff processes. Zbl 0587.53048
Sullivan, Dennis
1986
Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022
Sullivan, Dennis
1985
Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044
Sullivan, Dennis
1985
Expanding endomorphisms of the circle revisited. Zbl 0583.58022
Shub, Michael; Sullivan, Dennis
1985
On the measurable dynamics of $$z\mapsto e^ z$$. Zbl 0616.58006
Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P.
1985
Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022
Sullivan, Dennis
1984
Function theory, random paths and covering spaces. Zbl 0554.58022
Lyons, Terry; Sullivan, Dennis
1984
Rational ergodicity of geodesic flows. Zbl 0599.58029
Aaronson, Jon; Sullivan, Dennis
1984
Nilpotent bases for distributions and control systems. Zbl 0507.58007
Hermes, Henry; Lundell, Albert; Sullivan, Dennis
1984
Brownian motion and harmonic functions on the class surface of the thrice punctured sphere. Zbl 0541.60076
McKean, H. P.; Sullivan, D.
1984
The wave equation and periodicity. Zbl 0547.35061
Sullivan, D.
1984
On the dynamics of rational maps. Zbl 0524.58025
Mane, R.; Sad, P.; Sullivan, D.
1983
On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032
Curry, James H.; Garnett, Lucy; Sullivan, Dennis
1983
The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037
Sullivan, D.
1983
Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025
Sullivan, Dennis; Thurston, William
1983
Conformal dynamical systems. Zbl 0524.58024
Sullivan, Dennis
1983
An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045
Sullivan, D.; Teleman, N.
1983
Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035
Deligne, Pierre; Sullivan, Dennis
1983
Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028
Sullivan, Dennis
1982
Discrete conformal groups and measurable dynamics. Zbl 0489.58027
Sullivan, Dennis
1982
Itération des fonctions analytiques complexes. Zbl 0496.30016
Sullivan, Dennis
1982
On lifting automorphisms. Zbl 0514.46042
Sullivan, Dennis; Wright, J. D. Maitland
1982
On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015
Sullivan, Dennis
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
1981
A finiteness theorem for cusps. Zbl 0502.57004
Sullivan, Dennis
1981
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
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
1981
On lifting automorphisms of monotone sigma-complete C*-algebras. Zbl 0477.46049
Sullivan, Dennis; Wright, J. D. Maitland
1981
Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and Hausdorff dimension two. Zbl 0486.30035
Sullivan, Dennis
1981
The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034
Sullivan, Dennis
1979
A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025
Sullivan, Dennis
1979
On complexes that are Lipschitz manifolds. Zbl 0478.57008
Siebenmann, L.; Sullivan, D.
1979
Hyperbolic geometry and homeomorphisms. Zbl 0478.57007
Sullivan, Dennis
1979
Rufus Bowen (1947-1978). Zbl 0418.01006
Sullivan, Dennis
1979
A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015
Sullivan, Dennis
1978
Infinitesimal computations in topology. Zbl 0374.57002
Sullivan, Dennis
1977
Foliations with all leaves compact. Zbl 0356.57022
Edwards, Robert; Millett, Kenneth; Sullivan, Dennis
1977
Real homotopy theory of Kähler manifolds. Zbl 0355.55016
Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis
1977
Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015
Sullivan, Dennis
1976
The homology theory of the closed geodesic problem. Zbl 0361.53058
Vigue-Poirrier, Micheline; Sullivan, Dennis
1976
A counterexample to the periodic orbit conjecture. Zbl 0372.58011
Sullivan, Dennis
1976
A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017
Sullivan, Dennis
1976
On the homology of attractors. Zbl 0332.58011
Sullivan, Dennis; Williams, R. F.
1976
A new flow. Zbl 0344.58017
Sullivan, Dennis
1976
A semi-local combinatorial formula for the signature of a 4kmanifold. Zbl 0328.57003
Ranicki, Andrew; Sullivan, Dennis
1976
Cartan de Rham homotopy theory. Zbl 0326.58005
Sullivan, Dennis
1976
Real homotopy theory of Kähler manifolds. Zbl 0312.55011
Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis
1975
...and 19 more Documents
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#### Cited by 2,984 Authors

 33 Félix, Yves 27 Papadima, Ștefan 24 Jiang, Yunping 23 Lyubich, Mikhail Yur’evich 23 Sullivan, Dennis Parnell 22 Suciu, Alexander I. 22 Tomassini, Adriano 21 Halperin, Stephen 21 Thomas, Jean-Claude 19 Matsuzaki, Katsuhiko 17 Angella, Daniele 15 Buijs, Urtzi 15 Shen, Yuliang 14 Goldman, William M. 14 Murillo-Mas, Aniceto 14 Urbański, Mariusz 14 Yamaguchi, Toshihiro 13 Hurder, Steven E. 13 McMullen, Curtis Tracy 13 Muñoz Velázquez, Vicente 13 Oh, Hee 13 Plaza, Sergio 13 Pollicott, Mark 13 Sibony, Nessim 12 Devaney, Robert L. 12 Fagella, Núria 12 Lambrechts, Pascal 12 Levin, Genadi M. 12 Sergeev, Armen Glebovich 12 Stephenson, Kenneth 12 Tanré, Daniel 11 Blokh, Alexander M. 11 Gatsinzi, Jean-Baptiste 11 Graff, Grzegorz 11 Oversteegen, Lex G. 11 Šarić, Dragomir 11 Sati, Hisham 10 Fernández Rodríguez, Marisa 10 Hain, Richard M. 10 He, Zheng-Xu 10 Heinonen, Juha 10 Jezierski, Jerzy 10 Martin, Gaven J. 10 Matsumoto, Kengo 9 Bishop, Christopher James 9 Bunke, Ulrich 9 Dujardin, Romain 9 Iwaniec, Tadeusz 9 Kaimanovich, Vadim A. 9 Liu, Jinsong 9 Peters, Han 9 Pinto, Alberto Adrego 9 Stasheff, James D. 9 Stratmann, Bernd O. 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 Fornæss, John Erik 8 Holopainen, Ilkka 8 Jessup, Barry 8 Kontorovich, Alex V. 8 Ledrappier, François 8 Martens, Marco 8 Schramm, Oded 8 Souto, Juan 8 Stanley, Donald A. 8 Tang, ShuAn 8 Triantafillou, Georgia Visnjic 8 Weinberger, Shmuel 8 Wolak, Robert A. 7 Bazzoni, Giovanni 7 Bourgain, Jean 7 Canary, Richard D. 7 Carlsen, Toke Meier 7 Clark, Alex 7 Cui, Guizhen 7 Eilers, Søren 7 Freed, Daniel Stuart 7 Grines, Vyacheslav Zigmundovich 7 Guillarmou, Colin 7 Kasuya, Hisashi 7 Kaufmann, Ralph M. 7 Llibre, Jaume 7 Long, Yiming 7 Lupton, Gregory M. 7 Madsen, Ib Henning 7 Makienko, Peter M. 7 Markl, Martin 7 Minsky, Yair N. 7 Mitra, Sudeb 7 Oprea, John F. 7 Penner, Robert C. 7 Schippers, Eric D. 7 Schreiber, Urs 7 Sharp, Richard W. 7 Shiga, Hiroo ...and 2,884 more Authors
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#### Cited in 334 Serials

 185 Transactions of the American Mathematical Society 122 Proceedings of the American Mathematical Society 111 Inventiones Mathematicae 107 Ergodic Theory and Dynamical Systems 99 Topology and its Applications 90 Advances in Mathematics 88 Journal of Pure and Applied Algebra 78 Mathematische Annalen 76 Communications in Mathematical Physics 71 Mathematische Zeitschrift 69 Annales de l’Institut Fourier 68 Israel Journal of Mathematics 62 Algebraic & Geometric Topology 57 Duke Mathematical Journal 54 Conformal Geometry and Dynamics 53 Acta Mathematica 51 Geometry & Topology 49 Bulletin of the American Mathematical Society. New Series 48 The Journal of Geometric Analysis 46 Geometriae Dedicata 43 Journal of Geometry and Physics 38 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 37 Journal of Mathematical Analysis and Applications 37 Geometric and Functional Analysis. GAFA 35 Manuscripta Mathematica 33 Publications Mathématiques 31 Journal d’Analyse Mathématique 30 Journal of Functional Analysis 29 Compositio Mathematica 28 Tohoku Mathematical Journal. Second Series 26 Journal of the American Mathematical Society 25 Discrete and Continuous Dynamical Systems 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Journal of Algebra 22 Annals of Mathematics. Second Series 21 Mathematical Proceedings of the Cambridge Philosophical Society 20 Journal of Difference Equations and Applications 18 Journal of Mathematical Sciences (New York) 18 Journal of High Energy Physics 17 Forum Mathematicum 17 Differential Geometry and its Applications 17 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 17 Bulletin of the American Mathematical Society 16 Journal of Differential Equations 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Journal of Homotopy and Related Structures 15 Nuclear Physics. B 15 Monatshefte für Mathematik 15 Annals of Global Analysis and Geometry 15 Acta Mathematica Sinica. English Series 14 Journal of Modern Dynamics 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 International Journal of Mathematics 13 Journal of the European Mathematical Society (JEMS) 13 Computational Methods and Function Theory 12 Journal of Mathematical Physics 12 Journal für die Reine und Angewandte Mathematik 12 Discrete & Computational Geometry 12 Annales Academiae Scientiarum Fennicae. Mathematica 11 Bulletin de la Société Mathématique de France 11 Kodai Mathematical Journal 11 Science in China. Series A 11 Qualitative Theory of Dynamical Systems 11 Science China. Mathematics 10 Bulletin of the Australian Mathematical Society 10 Letters in Mathematical Physics 10 Mathematical Notes 10 Michigan Mathematical Journal 10 Nagoya Mathematical Journal 10 Proceedings of the Japan Academy. Series A 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Potential Analysis 10 Calculus of Variations and Partial Differential Equations 10 Selecta Mathematica. New Series 10 Proceedings of the Steklov Institute of Mathematics 10 Journal of Topology 10 Journal of Topology and Analysis 9 Journal of Statistical Physics 9 Arkiv för Matematik 9 Memoirs of the American Mathematical Society 9 $$K$$-Theory 9 Revista Matemática Iberoamericana 9 Indagationes Mathematicae. New Series 9 Journal of Noncommutative Geometry 8 Functional Analysis and its Applications 8 Journal of the Mathematical Society of Japan 8 Siberian Mathematical Journal 8 Expositiones Mathematicae 8 Journal of Fixed Point Theory and Applications 8 European Journal of Mathematics 7 Reviews in Mathematical Physics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Experimental Mathematics 7 Boletín de la Sociedad Matemática Mexicana. Third Series 7 Annales Henri Poincaré 6 Applied Mathematics and Computation 6 Archiv der Mathematik ...and 234 more Serials
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#### Cited in 58 Fields

 1,013 Dynamical systems and ergodic theory (37-XX) 750 Manifolds and cell complexes (57-XX) 714 Algebraic topology (55-XX) 651 Functions of a complex variable (30-XX) 602 Differential geometry (53-XX) 405 Global analysis, analysis on manifolds (58-XX) 387 Several complex variables and analytic spaces (32-XX) 213 Group theory and generalizations (20-XX) 190 Algebraic geometry (14-XX) 147 Topological groups, Lie groups (22-XX) 147 Measure and integration (28-XX) 129 Category theory; homological algebra (18-XX) 124 Number theory (11-XX) 120 Quantum theory (81-XX) 98 Associative rings and algebras (16-XX) 98 Nonassociative rings and algebras (17-XX) 94 Functional analysis (46-XX) 94 General topology (54-XX) 93 Convex and discrete geometry (52-XX) 88 Probability theory and stochastic processes (60-XX) 73 Partial differential equations (35-XX) 59 $$K$$-theory (19-XX) 55 Numerical analysis (65-XX) 54 Potential theory (31-XX) 48 Relativity and gravitational theory (83-XX) 46 Combinatorics (05-XX) 39 Commutative algebra (13-XX) 30 Abstract harmonic analysis (43-XX) 30 Computer science (68-XX) 27 Ordinary differential equations (34-XX) 26 Real functions (26-XX) 26 Operator theory (47-XX) 24 Difference and functional equations (39-XX) 23 Geometry (51-XX) 22 Statistical mechanics, structure of matter (82-XX) 20 Field theory and polynomials (12-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 History and biography (01-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Mechanics of particles and systems (70-XX) 16 Mathematical logic and foundations (03-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 General and overarching topics; collections (00-XX) 8 Approximations and expansions (41-XX) 7 Fluid mechanics (76-XX) 7 Systems theory; control (93-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Operations research, mathematical programming (90-XX) 4 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)

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