Edit Profile (opens in new tab) Sullivan, Dennis Parnell Compute Distance To: Compute Author ID: sullivan.dennis-p 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) Documents Indexed: 137 Publications since 1967, including 2 Books 2 Contributions as Editor · 4 Further Contributions Biographic References: 5 Publications Co-Authors: 96 Co-Authors with 76 Joint Publications 2,077 Co-Co-Authors 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 all top 5 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 all top 5 Fields 54 Manifolds and cell complexes (57-XX) 34 Dynamical systems and ergodic theory (37-XX) 34 Algebraic topology (55-XX) 29 Functions of a complex variable (30-XX) 29 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) 8 History and biography (01-XX) 6 Associative rings and algebras (16-XX) 6 Quantum theory (81-XX) 5 Algebraic geometry (14-XX) 4 Number theory (11-XX) 4 \(K\)-theory (19-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Fluid mechanics (76-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 Numerical analysis (65-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 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 0374.57002Sullivan, Dennis 546 1977 Real homotopy theory of Kähler manifolds. Zbl 0312.55011Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis 329 1975 On the dynamics of rational maps. Zbl 0524.58025Mane, R.; Sad, P.; Sullivan, D. 213 1983 The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034Sullivan, Dennis 189 1979 Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022Sullivan, Dennis 172 1985 Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022Sullivan, Dennis 161 1984 Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015Sullivan, Dennis 125 1976 Genetics of homotopy theory and the Adams conjecture. Zbl 0355.57007Sullivan, Dennis 113 1974 The convergence of circle packings to the Riemann mapping. Zbl 0694.30006Rodin, Burt; Sullivan, Dennis 107 1987 Symmetric structures on a closed curve. Zbl 0778.30045Gardiner, Frederick P.; Sullivan, Dennis P. 90 1992 Related aspects of positivity in Riemannian geometry. Zbl 0615.53029Sullivan, Dennis 87 1987 The homology theory of the closed geodesic problem. Zbl 0361.53058Vigue-Poirrier, Micheline; Sullivan, Dennis 86 1976 Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016Sullivan, Dennis 83 1992 String topology in dimensions two and three. Zbl 1185.55013Chas, Moira; Sullivan, Dennis 80 2009 Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028Sullivan, Dennis 76 1982 Currents, flows and diffeomorphisms. Zbl 0321.58019Ruelle, David; Sullivan, Dennis 76 1975 Function theory, random paths and covering spaces. Zbl 0554.58022Lyons, Terry; Sullivan, Dennis 75 1984 Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044Sullivan, Dennis 71 1985 The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037Sullivan, D. 66 1983 On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032Curry, James H.; Garnett, Lucy; Sullivan, Dennis 65 1983 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 61 1989 Discrete conformal groups and measurable dynamics. Zbl 0489.58027Sullivan, Dennis 59 1982 A remark on the Lefschetz fixed point formula for differentiable maps. Zbl 0291.58014Shub, M.; Sullivan, D. 57 1974 Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028McMullen, Curtis T.; Sullivan, Dennis P. 56 1998 A topological invariant of flows on 1-dimensional spaces. Zbl 0314.54045Parry, Bill; Sullivan, Dennis 56 1975 Extending holomorphic motions. Zbl 0619.30026Sullivan, 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 0820.30027Nag, Subhashis; Sullivan, Dennis 46 1995 A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025Sullivan, Dennis 43 1979 Foliations with all leaves compact. Zbl 0356.57022Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 42 1977 The transversality characteristic class and linking cycles in surgery theory. Zbl 0295.57008Morgan, John W.; Sullivan, Dennis P. 39 1974 On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015Sullivan, Dennis 38 1981 Expanding endomorphisms of the circle revisited. Zbl 0583.58022Shub, Michael; Sullivan, Dennis 37 1985 Homology theory and dynamical systems. Zbl 0408.58023Shub, M.; Sullivan, D. 37 1975 On the intersection ring of compact three manifolds. Zbl 0312.57003Sullivan, 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 0459.28009Sullivan, Dennis 35 1981 Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009Chas, Moira; Sullivan, Dennis 34 2004 Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020Simons, James; Sullivan, Dennis 32 2008 Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025Sullivan, Dennis; Thurston, William 32 1983 A counterexample to the periodic orbit conjecture. Zbl 0372.58011Sullivan, Dennis 29 1976 Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021Sullivan, D. P. 28 1996 Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009Simons, James; Sullivan, Dennis 27 2010 On the Kervaire obstruction. Zbl 0227.57012Rourke, C. P.; Sullivan, D. P. 25 1971 Combinatorial invariants of analytic spaces. Zbl 0227.32005Sullivan, D. 25 1971 Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018Sullivan, Dennis 25 1993 Conformal dynamical systems. Zbl 0524.58024Sullivan, Dennis 25 1983 Rufus Bowen (1947-1978). Zbl 0418.01006Sullivan, Dennis 21 1979 Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013Connes, Alain; Sullivan, Dennis; Teleman, Nicolas 21 1994 Differential forms and the topology of manifolds. Zbl 0319.58005Sullivan, D. 21 1975 Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001Sullivan, Dennis P. 20 2005 A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015Sullivan, Dennis 19 1978 On complexes that are Lipschitz manifolds. Zbl 0478.57008Siebenmann, L.; Sullivan, D. 18 1979 Hyperbolic geometry and homeomorphisms. Zbl 0478.57007Sullivan, Dennis 17 1979 Geometry of leaves. Zbl 0454.57016Phillips, Anthony; Sullivan, Dennis 16 1981 On the locally branched Euclidean metric gauge. Zbl 1019.58002Heinonen, Juha; Sullivan, Dennis 15 2002 A finiteness theorem for cusps. Zbl 0502.57004Sullivan, Dennis 15 1981 Fibres vectoriels complexes à groupe structural discret. Zbl 0317.55016Deligne, Pierre; Sullivan, Dennis 15 1975 Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082Sullivan, Dennis 14 2004 Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis 14 1987 The Euler characteristic of an affine space form is zero. Zbl 0313.57009Kostant, Bertram; Sullivan, D. 14 1975 Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010Hu, Jun; Sullivan, Dennis P. 13 1997 A formula for topology/deformations and its significance. Zbl 1300.55024Lawrence, Ruth; Sullivan, Dennis 13 2014 Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland 12 1986 Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025Tradler, 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 0459.57006Sullivan, Dennis 12 1981 Genericity theorems in topological dynamics. Zbl 0341.54053Palis, J.; Pugh, C.; Shub, M.; Sullivan, D. 12 1975 An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045Sullivan, D.; Teleman, N. 11 1983 On the Hauptvermutung for manifolds. Zbl 0153.54002Sullivan, D. 11 1967 Itération des fonctions analytiques complexes. Zbl 0496.30016Sullivan, Dennis 10 1982 A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017Sullivan, Dennis 10 1976 String topology background and present state. Zbl 1171.55003Sullivan, Dennis 10 2007 On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P. 9 1990 Singularities in spaces. Zbl 0233.57006Sullivan, D. 9 1971 \(p\)-universal spaces and rational homotopy types. Zbl 0905.55008Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis 8 1998 The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis 8 2008 Exterior \(d\), the local degree, and smoothability. Zbl 0926.57027Sullivan, Dennis 8 1995 Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis 8 1996 Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046Gambaudo, J. M.; Sullivan, D.; Tresser, C. 8 1994 Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070Norton, Alec; Sullivan, Dennis 8 1996 The circle and the solenoid. Zbl 1121.37032Pinto, A. A.; Sullivan, D. 8 2006 On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P. 7 1985 Geometric periodicity and the invariants of manifolds. Zbl 0224.57002Sullivan, Dennis 7 1971 Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030Sullivan, Dennis 7 1987 Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035Deligne, Pierre; Sullivan, Dennis 7 1983 Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027Sullivan, Dennis 7 1988 Solenoidal manifolds. Zbl 1323.57018Sullivan, Dennis 7 2014 Expanding direction of the period doubling operator. Zbl 0761.58038Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis 6 1992 On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis 6 2003 René Thom’s work on geometric homology and bordism. Zbl 1045.57001Sullivan, Dennis 6 2004 On the regular neighborhood of a two-sided submanifold. Zbl 0177.52201Cohen, M.; Sullivan, D. 6 1970 On the homology of attractors. Zbl 0332.58011Sullivan, Dennis; Williams, R. F. 6 1976 Rational ergodicity of geodesic flows. Zbl 0599.58029Aaronson, 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 0366.57003Sullivan, Dennis 5 1975 Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture. Zbl 0735.30039Hardt, Robert; Sullivan, Dennis 4 1988 Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046Pignataro, Thea; Sullivan, Dennis 4 1986 On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis 4 2003 Structured bundles define differential K-theory. Zbl 1204.57021Simons, James; Sullivan, Dennis 4 2008 A new flow. Zbl 0344.58017Sullivan, Dennis 4 1976 Nilpotent bases for distributions and control systems. Zbl 0507.58007Hermes, Henry; Lundell, Albert; Sullivan, Dennis 4 1984 A semi-local combinatorial formula for the signature of a 4kmanifold. Zbl 0328.57003Ranicki, Andrew; Sullivan, Dennis 4 1976 Sigma models and string topology. Zbl 1080.53085Sullivan, Dennis 4 2005 Marcel Berger remembered. Zbl 1377.01033Besson, 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 1320.57013Basu, Somnath; McGibbon, Jason; Sullivan, Dennis; Sullivan, Michael 1 2015 A formula for topology/deformations and its significance. Zbl 1300.55024Lawrence, Ruth; Sullivan, Dennis 13 2014 Solenoidal manifolds. Zbl 1323.57018Sullivan, Dennis 7 2014 Differential characters for \(K\)-theory. Zbl 1256.19007Simons, James; Sullivan, Dennis 1 2012 Algebra, topology and algebraic topology of 3D ideal fluids. Zbl 1238.35105Sullivan, Dennis 1 2011 A finite time blowup result for quadratic ODE’s. Zbl 1250.34029Sullivan, Dennis 1 2011 Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009Simons, James; Sullivan, Dennis 27 2010 Mathematical aspects of quantum field theory. With foreword by Dennis Sullivan. Zbl 1200.81001de Faria, Edson; de Melo, Welington 2 2010 String topology in dimensions two and three. Zbl 1185.55013Chas, Moira; Sullivan, Dennis 80 2009 Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs. Zbl 1197.55007Sullivan, Dennis 2 2009 Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020Simons, James; Sullivan, Dennis 32 2008 The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis 8 2008 Structured bundles define differential K-theory. Zbl 1204.57021Simons, James; Sullivan, Dennis 4 2008 Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025Tradler, Thomas; Zeinalian, Mahmoud 12 2007 String topology background and present state. Zbl 1171.55003Sullivan, Dennis 10 2007 The circle and the solenoid. Zbl 1121.37032Pinto, A. A.; Sullivan, D. 8 2006 Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001Sullivan, Dennis P. 20 2005 Sigma models and string topology. Zbl 1080.53085Sullivan, Dennis 4 2005 Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009Chas, Moira; Sullivan, Dennis 34 2004 Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082Sullivan, Dennis 14 2004 René Thom’s work on geometric homology and bordism. Zbl 1045.57001Sullivan, Dennis 6 2004 On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis 6 2003 On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis 4 2003 On the locally branched Euclidean metric gauge. Zbl 1019.58002Heinonen, Juha; Sullivan, Dennis 15 2002 Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028McMullen, Curtis T.; Sullivan, Dennis P. 56 1998 \(p\)-universal spaces and rational homotopy types. Zbl 0905.55008Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis 8 1998 Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010Hu, Jun; Sullivan, Dennis P. 13 1997 Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021Sullivan, D. P. 28 1996 Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis 8 1996 Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070Norton, 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 0820.30027Nag, Subhashis; Sullivan, Dennis 46 1995 Exterior \(d\), the local degree, and smoothability. Zbl 0926.57027Sullivan, Dennis 8 1995 Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013Connes, Alain; Sullivan, Dennis; Teleman, Nicolas 21 1994 Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046Gambaudo, J. M.; Sullivan, D.; Tresser, C. 8 1994 Lacunary series as quadratic differentials in conformal dynamics. Zbl 0814.30027Gardiner, Frederick P.; Sullivan, Dennis 3 1994 Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018Sullivan, Dennis 25 1993 Local formulas for topological Pontrjagin classes. (Formules locales pour les classes de Pontrjagin topologiques.) Zbl 0782.57015Connes, Alain; Sullivan, Dennis; Teleman, Nicolas 2 1993 Symmetric structures on a closed curve. Zbl 0778.30045Gardiner, Frederick P.; Sullivan, Dennis P. 90 1992 Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016Sullivan, Dennis 83 1992 Expanding direction of the period doubling operator. Zbl 0761.58038Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis 6 1992 On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P. 9 1990 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 61 1989 Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027Sullivan, Dennis 7 1988 Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture. Zbl 0735.30039Hardt, Robert; Sullivan, Dennis 4 1988 Differentiable structures on fractal like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0707.58038Sullivan, Dennis 3 1988 The convergence of circle packings to the Riemann mapping. Zbl 0694.30006Rodin, Burt; Sullivan, Dennis 107 1987 Related aspects of positivity in Riemannian geometry. Zbl 0615.53029Sullivan, Dennis 87 1987 Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis 14 1987 Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030Sullivan, Dennis 7 1987 Series in binomial and factorial coefficients. Zbl 0654.40001Sullivan, D.; Sullivan, Jillian C. F. 1 1987 Extending holomorphic motions. Zbl 0619.30026Sullivan, Dennis P.; Thurston, William P. 50 1986 Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland 12 1986 Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046Pignataro, Thea; Sullivan, Dennis 4 1986 Related aspects of positivity: \(\lambda\)-potential theory on manifolds, lowest eigenstates, Hausdorff geometry, renormalized Markoff processes.. Zbl 0587.53048Sullivan, Dennis 3 1986 Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022Sullivan, Dennis 172 1985 Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044Sullivan, Dennis 71 1985 Expanding endomorphisms of the circle revisited. Zbl 0583.58022Shub, Michael; Sullivan, Dennis 37 1985 On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P. 7 1985 Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022Sullivan, Dennis 161 1984 Function theory, random paths and covering spaces. Zbl 0554.58022Lyons, Terry; Sullivan, Dennis 75 1984 Rational ergodicity of geodesic flows. Zbl 0599.58029Aaronson, Jon; Sullivan, Dennis 5 1984 Nilpotent bases for distributions and control systems. Zbl 0507.58007Hermes, Henry; Lundell, Albert; Sullivan, Dennis 4 1984 Brownian motion and harmonic functions on the class surface of the thrice punctured sphere. Zbl 0541.60076McKean, H. P.; Sullivan, D. 3 1984 The wave equation and periodicity. Zbl 0547.35061Sullivan, D. 1 1984 On the dynamics of rational maps. Zbl 0524.58025Mane, R.; Sad, P.; Sullivan, D. 213 1983 The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037Sullivan, D. 66 1983 On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032Curry, James H.; Garnett, Lucy; Sullivan, Dennis 65 1983 Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025Sullivan, Dennis; Thurston, William 32 1983 Conformal dynamical systems. Zbl 0524.58024Sullivan, Dennis 25 1983 An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045Sullivan, D.; Teleman, N. 11 1983 Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035Deligne, Pierre; Sullivan, Dennis 7 1983 Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028Sullivan, Dennis 76 1982 Discrete conformal groups and measurable dynamics. Zbl 0489.58027Sullivan, Dennis 59 1982 Itération des fonctions analytiques complexes. Zbl 0496.30016Sullivan, Dennis 10 1982 On lifting automorphisms. Zbl 0514.46042Sullivan, Dennis; Wright, J. D. Maitland 1 1982 On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015Sullivan, 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 0459.28009Sullivan, Dennis 35 1981 Geometry of leaves. Zbl 0454.57016Phillips, Anthony; Sullivan, Dennis 16 1981 A finiteness theorem for cusps. Zbl 0502.57004Sullivan, Dennis 15 1981 Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006Sullivan, Dennis 12 1981 On lifting automorphisms of monotone sigma-complete C*-algebras. Zbl 0477.46049Sullivan, 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 0486.30035Sullivan, Dennis 1 1981 The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034Sullivan, Dennis 189 1979 A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025Sullivan, Dennis 43 1979 Rufus Bowen (1947-1978). Zbl 0418.01006Sullivan, Dennis 21 1979 On complexes that are Lipschitz manifolds. Zbl 0478.57008Siebenmann, L.; Sullivan, D. 18 1979 Hyperbolic geometry and homeomorphisms. Zbl 0478.57007Sullivan, Dennis 17 1979 A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015Sullivan, Dennis 19 1978 Infinitesimal computations in topology. Zbl 0374.57002Sullivan, Dennis 546 1977 Foliations with all leaves compact. Zbl 0356.57022Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 42 1977 Real homotopy theory of Kähler manifolds. Zbl 0355.55016Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis 2 1977 Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015Sullivan, Dennis 125 1976 The homology theory of the closed geodesic problem. Zbl 0361.53058Vigue-Poirrier, Micheline; Sullivan, Dennis 86 1976 A counterexample to the periodic orbit conjecture. Zbl 0372.58011Sullivan, Dennis 29 1976 A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017Sullivan, Dennis 10 1976 On the homology of attractors. Zbl 0332.58011Sullivan, Dennis; Williams, R. F. 6 1976 A new flow. Zbl 0344.58017Sullivan, Dennis 4 1976 A semi-local combinatorial formula for the signature of a 4kmanifold. Zbl 0328.57003Ranicki, Andrew; Sullivan, Dennis 4 1976 ...and 22 more Documents all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.