Edit Profile (opens in new tab) Sullivan, Dennis Parnell Co-Author Distance Author ID: sullivan.dennis-p Published as: Sullivan, Dennis; Sullivan, D.; Sullivan, Dennis P.; Sullivan, D. P. more...less Homepage: https://www.math.stonybrook.edu/~dennis/ External Links: MacTutor · MGP · Wikidata · Google Scholar · ResearchGate · MathOverflow · Math-Net.Ru · dblp · GND · IdRef Awards: Wolf Prize (2010) · Abel Prize (2022) Documents Indexed: 139 Publications since 1967, including 2 Books 2 Contributions as Editor · 6 Further Contributions Biographic References: 8 Publications Co-Authors: 97 Co-Authors with 77 Joint Publications 2,242 Co-Co-Authors all top 5 Co-Authors 64 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 Dundas, Bjørn Ian 2 Gardiner, Frederick P. 2 Griffiths, Phillip Augustus 2 Lawrence, Ruth J. 2 Pignataro, Thea 2 Ranade, Nissim 2 Rourke, Colin P. 2 Skau, Christian Fredrik 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 Kwon, Alice 1 Lafontaine, Jacques 1 LeBrun, Claude R. 1 Lehmann, Daniel 1 Loday, Jean-Louis 1 Lundell, Albert T. 1 Mañé, Ricardo 1 Marden, Albert 1 Mazur, Barry 1 McGibbon, Jason 1 McKean, Henry P. jun. 1 McMullen, Curtis Tracy 1 Michelsohn, Marie-Louise 1 Millett, Kenneth C. 1 Mimura, Mamoru 1 Morita, Takehiko 1 Norton Kercheval, Alec 1 Osserman, Robert 1 Palis, Jacob jun. 1 Pansu, Pierre 1 Parry, William 1 Penner, Robert C. ...and 33 more Co-Authors all top 5 Serials 11 Topology 8 Journal of Differential Geometry 7 Acta Mathematica 6 Publications Mathématiques 4 Ergodic Theory and Dynamical Systems 4 Notices of the American Mathematical Society 4 Annals of Mathematics. Second Series 3 Communications in Mathematical Physics 3 Commentarii Mathematici Helvetici 3 L’Enseignement Mathématique. 2e Série 3 Bulletin of the American Mathematical Society. New Series 3 Bulletin of the American Mathematical Society 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Advances in Mathematics 2 Applied Mathematics Notes 2 Inventiones Mathematicae 2 Comptes Rendus de l’Académie des Sciences. Série I 2 K-Monographs in Mathematics 2 Journal of Topology 1 International Journal of Mathematical Education in Science and Technology 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 American Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Journal of Differential Equations 1 Journal of Pure and Applied Algebra 1 Osaka Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 The Quarterly Journal of Mathematics 1 Algebraic & Geometric Topology 1 The Journal of Symplectic Geometry 1 Oberwolfach Reports 1 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 1 European Mathematical Society Magazine all top 5 Fields 56 Manifolds and cell complexes (57-XX) 35 Algebraic topology (55-XX) 34 Dynamical systems and ergodic theory (37-XX) 30 Global analysis, analysis on manifolds (58-XX) 29 Functions of a complex variable (30-XX) 27 Differential geometry (53-XX) 14 General topology (54-XX) 11 History and biography (01-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Measure and integration (28-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 126 Publications have been cited 4,894 times in 3,951 Documents Cited by ▼ Year ▼ Infinitesimal computations in topology. Zbl 0374.57002Sullivan, Dennis 612 1977 Real homotopy theory of Kähler manifolds. Zbl 0312.55011Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis 363 1975 On the dynamics of rational maps. Zbl 0524.58025Mane, R.; Sad, P.; Sullivan, D. 238 1983 The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034Sullivan, Dennis 224 1979 Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022Sullivan, Dennis 204 1985 Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022Sullivan, Dennis 183 1984 Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015Sullivan, Dennis 145 1976 Genetics of homotopy theory and the Adams conjecture. Zbl 0355.57007Sullivan, Dennis 120 1974 The convergence of circle packings to the Riemann mapping. Zbl 0694.30006Rodin, Burt; Sullivan, Dennis 117 1987 Related aspects of positivity in Riemannian geometry. Zbl 0615.53029Sullivan, Dennis 100 1987 String topology in dimensions two and three. Zbl 1185.55013Chas, Moira; Sullivan, Dennis 100 2009 Symmetric structures on a closed curve. Zbl 0778.30045Gardiner, Frederick P.; Sullivan, Dennis P. 98 1992 The homology theory of the closed geodesic problem. Zbl 0361.53058Vigue-Poirrier, Micheline; Sullivan, Dennis 95 1976 Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016Sullivan, Dennis 94 1992 Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028Sullivan, Dennis 89 1982 Function theory, random paths and covering spaces. Zbl 0554.58022Lyons, Terry; Sullivan, Dennis 87 1984 Currents, flows and diffeomorphisms. Zbl 0321.58019Ruelle, David; Sullivan, Dennis 82 1975 Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044Sullivan, Dennis 79 1985 The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037Sullivan, D. 74 1983 On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032Curry, James H.; Garnett, Lucy; Sullivan, Dennis 66 1983 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 64 1989 A topological invariant of flows on 1-dimensional spaces. Zbl 0314.54045Parry, Bill; Sullivan, Dennis 62 1975 Discrete conformal groups and measurable dynamics. Zbl 0489.58027Sullivan, Dennis 61 1982 Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028McMullen, Curtis T.; Sullivan, Dennis P. 61 1998 A remark on the Lefschetz fixed point formula for differentiable maps. Zbl 0291.58014Shub, M.; Sullivan, D. 60 1974 Extending holomorphic motions. Zbl 0619.30026Sullivan, Dennis P.; Thurston, William P. 52 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 52 1995 A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025Sullivan, Dennis 46 1979 Expanding endomorphisms of the circle revisited. Zbl 0583.58022Shub, Michael; Sullivan, Dennis 45 1985 On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015Sullivan, Dennis 44 1981 Foliations with all leaves compact. Zbl 0356.57022Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 43 1977 The transversality characteristic class and linking cycles in surgery theory. Zbl 0295.57008Morgan, John W.; Sullivan, Dennis P. 40 1974 On the intersection ring of compact three manifolds. Zbl 0312.57003Sullivan, Dennis 39 1975 Homology theory and dynamical systems. Zbl 0408.58023Shub, M.; Sullivan, D. 39 1975 Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020Simons, James; Sullivan, Dennis 36 2008 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 36 1981 Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009Chas, Moira; Sullivan, Dennis 36 2004 Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025Sullivan, Dennis; Thurston, William 34 1983 A counterexample to the periodic orbit conjecture. Zbl 0372.58011Sullivan, Dennis 32 1976 Conformal dynamical systems. Zbl 0524.58024Sullivan, Dennis 32 1983 Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001Sullivan, Dennis P. 31 2005 Combinatorial invariants of analytic spaces. Zbl 0227.32005Sullivan, D. 31 1971 Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009Simons, James; Sullivan, Dennis 29 2010 Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021Sullivan, D. P. 29 1996 Rufus Bowen (1947-1978). Zbl 0418.01006Sullivan, Dennis 27 1979 Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018Sullivan, Dennis 27 1993 Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013Connes, Alain; Sullivan, Dennis; Teleman, Nicolas 25 1994 On the Kervaire obstruction. Zbl 0227.57012Rourke, C. P.; Sullivan, D. P. 25 1971 A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015Sullivan, Dennis 23 1978 Differential forms and the topology of manifolds. Zbl 0319.58005Sullivan, D. 22 1975 Hyperbolic geometry and homeomorphisms. Zbl 0478.57007Sullivan, Dennis 20 1979 Geometry of leaves. Zbl 0454.57016Phillips, Anthony; Sullivan, Dennis 19 1981 On complexes that are Lipschitz manifolds. Zbl 0478.57008Siebenmann, L.; Sullivan, D. 19 1979 Fibres vectoriels complexes à groupe structural discret. Zbl 0317.55016Deligne, Pierre; Sullivan, Dennis 18 1975 Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082Sullivan, Dennis 18 2004 A finiteness theorem for cusps. Zbl 0502.57004Sullivan, Dennis 16 1981 On the locally branched Euclidean metric gauge. Zbl 1019.58002Heinonen, Juha; Sullivan, Dennis 16 2002 Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis 15 1987 Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010Hu, Jun; Sullivan, Dennis P. 14 1997 The Euler characteristic of an affine space form is zero. Zbl 0313.57009Kostant, Bertram; Sullivan, D. 14 1975 Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006Sullivan, Dennis 14 1981 On the Hauptvermutung for manifolds. Zbl 0153.54002Sullivan, D. 14 1967 A formula for topology/deformations and its significance. Zbl 1300.55024Lawrence, Ruth; Sullivan, Dennis 14 2014 Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025Tradler, Thomas; Zeinalian, Mahmoud 14 2007 Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland 13 1986 Genericity theorems in topological dynamics. Zbl 0341.54053Palis, J.; Pugh, C.; Shub, M.; Sullivan, D. 13 1975 Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030Sullivan, Dennis 13 1987 An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045Sullivan, D.; Teleman, N. 11 1983 A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017Sullivan, Dennis 11 1976 Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027Sullivan, Dennis 11 1988 On conformal welding homeomorphisms associated to Jordan curves. Zbl 0688.30003Katznelson, Y.; Nag, Subhashis; Sullivan, Dennis P. 11 1990 Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070Norton, Alec; Sullivan, Dennis 11 1996 String topology background and present state. Zbl 1171.55003Sullivan, Dennis 10 2007 Itération des fonctions analytiques complexes. Zbl 0496.30016Sullivan, Dennis 10 1982 Solenoidal manifolds. Zbl 1323.57018Sullivan, Dennis 10 2014 Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis 9 1996 The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis 9 2008 \(p\)-universal spaces and rational homotopy types. Zbl 0905.55008Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis 9 1998 On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P. 8 1985 Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046Gambaudo, J. M.; Sullivan, D.; Tresser, C. 8 1994 Exterior \(d\), the local degree, and smoothability. Zbl 0926.57027Sullivan, Dennis 8 1995 The circle and the solenoid. Zbl 1121.37032Pinto, A. A.; Sullivan, D. 8 2006 Singularities in spaces. Zbl 0233.57006Sullivan, D. 8 1971 Rational ergodicity of geodesic flows. Zbl 0599.58029Aaronson, Jon; Sullivan, Dennis 7 1984 Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035Deligne, Pierre; Sullivan, Dennis 7 1983 On the homology of attractors. Zbl 0332.58011Sullivan, Dennis; Williams, R. F. 7 1976 René Thom’s work on geometric homology and bordism. Zbl 1045.57001Sullivan, Dennis 7 2004 Geometric periodicity and the invariants of manifolds. Zbl 0224.57002Sullivan, Dennis 7 1971 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 6 1975 On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis 6 2003 Structured bundles define differential K-theory. Zbl 1204.57021Simons, James; Sullivan, Dennis 6 2008 On the regular neighborhood of a two-sided submanifold. Zbl 0177.52201Cohen, M.; Sullivan, D. 6 1970 Expanding direction of the period doubling operator. Zbl 0761.58038Jiang, Yunping; Morita, Takehiko; Sullivan, Dennis 6 1992 On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis 5 2003 Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046Pignataro, Thea; Sullivan, Dennis 4 1986 A semi-local combinatorial formula for the signature of a 4kmanifold. Zbl 0328.57003Ranicki, Andrew; Sullivan, Dennis 4 1976 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 Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture. Zbl 0735.30039Hardt, Robert; Sullivan, Dennis 4 1988 The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012 4 1996 A decade of Thurston stories. Zbl 1452.57002Sullivan, Dennis 1 2020 Generalized Euler classes, differential forms and commutative DGAs. Zbl 1461.55009Gorokhovsky, Alexander; Sullivan, Dennis; Xie, Zhizhang 1 2019 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 William P. Thurston, 1946–2012. Zbl 1338.55002Haefliger, André; Epstein, David; Sullivan, Dennis P. 2 2015 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 14 2014 Solenoidal manifolds. Zbl 1323.57018Sullivan, Dennis 10 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 29 2010 Mathematical aspects of quantum field theory. With foreword by Dennis Sullivan. Zbl 1200.81001de Faria, Edson; de Melo, Welington 3 2010 String topology in dimensions two and three. Zbl 1185.55013Chas, Moira; Sullivan, Dennis 100 2009 Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs. Zbl 1197.55007Sullivan, Dennis 2 2009 Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020Simons, James; Sullivan, Dennis 36 2008 The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis 9 2008 Structured bundles define differential K-theory. Zbl 1204.57021Simons, James; Sullivan, Dennis 6 2008 Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan. Zbl 1137.57025Tradler, Thomas; Zeinalian, Mahmoud 14 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. 31 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 36 2004 Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082Sullivan, Dennis 18 2004 René Thom’s work on geometric homology and bordism. Zbl 1045.57001Sullivan, Dennis 7 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 5 2003 On the locally branched Euclidean metric gauge. Zbl 1019.58002Heinonen, Juha; Sullivan, Dennis 16 2002 fn the foundation of geometry, analysis, and the differentiable structure for manifolds. Zbl 1019.58001Sullivan, Dennis 1 1999 Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028McMullen, Curtis T.; Sullivan, Dennis P. 61 1998 \(p\)-universal spaces and rational homotopy types. Zbl 0905.55008Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis 9 1998 Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010Hu, Jun; Sullivan, Dennis P. 14 1997 Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021Sullivan, D. P. 29 1996 Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070Norton, Alec; Sullivan, Dennis 11 1996 Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis 9 1996 The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012 4 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 52 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 25 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 27 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. 98 1992 Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016Sullivan, Dennis 94 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. 11 1990 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 64 1989 Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027Sullivan, Dennis 11 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 117 1987 Related aspects of positivity in Riemannian geometry. Zbl 0615.53029Sullivan, Dennis 100 1987 Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis 15 1987 Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030Sullivan, Dennis 13 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. 52 1986 Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland 13 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 204 1985 Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044Sullivan, Dennis 79 1985 Expanding endomorphisms of the circle revisited. Zbl 0583.58022Shub, Michael; Sullivan, Dennis 45 1985 On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P. 8 1985 Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022Sullivan, Dennis 183 1984 Function theory, random paths and covering spaces. Zbl 0554.58022Lyons, Terry; Sullivan, Dennis 87 1984 Rational ergodicity of geodesic flows. Zbl 0599.58029Aaronson, Jon; Sullivan, Dennis 7 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. 238 1983 The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037Sullivan, D. 74 1983 On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032Curry, James H.; Garnett, Lucy; Sullivan, Dennis 66 1983 Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025Sullivan, Dennis; Thurston, William 34 1983 Conformal dynamical systems. Zbl 0524.58024Sullivan, Dennis 32 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 89 1982 Discrete conformal groups and measurable dynamics. Zbl 0489.58027Sullivan, Dennis 61 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 44 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 36 1981 Geometry of leaves. Zbl 0454.57016Phillips, Anthony; Sullivan, Dennis 19 1981 A finiteness theorem for cusps. Zbl 0502.57004Sullivan, Dennis 16 1981 Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006Sullivan, Dennis 14 1981 Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and Hausdorff dimension two. Zbl 0486.30035Sullivan, Dennis 3 1981 On lifting automorphisms of monotone sigma-complete C*-algebras. Zbl 0477.46049Sullivan, Dennis; Wright, J. D. Maitland 2 1981 The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034Sullivan, Dennis 224 1979 A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025Sullivan, Dennis 46 1979 Rufus Bowen (1947-1978). Zbl 0418.01006Sullivan, Dennis 27 1979 Hyperbolic geometry and homeomorphisms. Zbl 0478.57007Sullivan, Dennis 20 1979 On complexes that are Lipschitz manifolds. Zbl 0478.57008Siebenmann, L.; Sullivan, D. 19 1979 A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015Sullivan, Dennis 23 1978 Infinitesimal computations in topology. Zbl 0374.57002Sullivan, Dennis 612 1977 Foliations with all leaves compact. Zbl 0356.57022Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 43 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 145 1976 The homology theory of the closed geodesic problem. Zbl 0361.53058Vigue-Poirrier, Micheline; Sullivan, Dennis 95 1976 A counterexample to the periodic orbit conjecture. Zbl 0372.58011Sullivan, Dennis 32 1976 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,386 Authors 37 Félix, Yves 28 Papadima, Ștefan 27 Jiang, Yunping 26 Lyubich, Mikhail 26 Sullivan, Dennis Parnell 25 Tomassini, Adriano 24 Suciu, Alexander I. 22 Thomas, Jean-Claude 21 Halperin, Stephen 19 Angella, Daniele 19 Oh, Hee 19 Sati, Hisham 17 Shen, Yuliang 17 Urbański, Mariusz 16 Matsuzaki, Katsuhiko 16 Muñoz Velázquez, Vicente 16 Murillo-Mas, Aniceto 16 Pollicott, Mark 15 Buijs, Urtzi 15 Sibony, Nessim 15 Yamaguchi, Toshihiro 14 Blokh, Alexander M. 14 Fagella, Núria 14 Gatsinzi, Jean-Baptiste 14 Goldman, William M. 14 Oversteegen, Lex G. 13 Hurder, Steven E. 13 Lambrechts, Pascal 13 Levin, Genadi M. 13 McMullen, Curtis Tracy 13 Plaza, Sergio 13 Sergeev, Armen Glebovich 13 Tanré, Daniel 12 Devaney, Robert L. 12 Graff, Grzegorz 12 Jezierski, Jerzy 12 Matsumoto, Kengo 12 Peters, Han 12 Šarić, Dragomir 12 Schreiber, Urs 12 Stephenson, Kenneth 11 Dujardin, Romain 11 Hain, Richard M. 11 Kaimanovich, Vadim A. 11 Wei, Huaying 10 Bunke, Ulrich 10 Fernández Rodríguez, Marisa 10 Fraser, Jonathan MacDonald 10 Heinonen, Juha 10 Kasuya, Hisashi 10 Ledrappier, François 10 Martin, Gaven J. 9 Amat, Sergio P. 9 Bishop, Christopher James 9 Busquier, Sonia 9 Cirici, Joana 9 de Melo, Welington 9 Fiorenza, Domenico 9 Graczyk, Jacek 9 Grines, Vyacheslav Zigmundovich 9 He, Zheng-Xu 9 Iwaniec, Tadeusz 9 Kontorovich, Alex V. 9 Liu, Jinsong 9 Makienko, Peter M. 9 Martens, Marco 9 Pinto, Alberto Adrego 9 Skvortsov, Evgeny D. 9 Stanley, Donald 9 Sukochev, Fedor Anatol’evich 9 Świątek, Grzegorz 9 Vigué-Poirrier, Micheline 9 Yampolsky, Michael 9 Zeinalian, Mahmoud 8 Alvarez, Sébastien 8 Avkhadiev, Farit Gabidinovich 8 Bobenko, Alexander Ivanovich 8 Cabrera, Carlos 8 Carlsen, Toke Meier 8 Cieliebak, Kai 8 Cui, Guizhen 8 Deroin, Bertrand 8 Dimca, Alexandru 8 Eilers, Søren 8 Fornæss, John Erik 8 Freed, Daniel Stuart 8 Holopainen, Ilkka 8 Jessup, Barry 8 Kapovich, Michael 8 Kaufmann, Ralph M. 8 Llibre, Jaume 8 Markl, Martin 8 Minsky, Yair N. 8 Mj, Mahan 8 Ohshika, Ken’ichi 8 Penner, Robert C. 8 Rodríguez García, José Manuel 8 Schramm, Oded 8 Smania, Daniel 8 Souto, Juan ...and 3,286 more Authors all top 5 Cited in 389 Serials 203 Transactions of the American Mathematical Society 134 Proceedings of the American Mathematical Society 131 Ergodic Theory and Dynamical Systems 121 Inventiones Mathematicae 107 Advances in Mathematics 101 Topology and its Applications 91 Journal of Pure and Applied Algebra 84 Communications in Mathematical Physics 83 Mathematische Annalen 82 Mathematische Zeitschrift 74 Israel Journal of Mathematics 74 Annales de l’Institut Fourier 71 Algebraic & Geometric Topology 65 Duke Mathematical Journal 57 Conformal Geometry and Dynamics 57 Geometry & Topology 54 Geometriae Dedicata 53 Journal of Geometry and Physics 53 Acta Mathematica 53 The Journal of Geometric Analysis 50 Bulletin of the American Mathematical Society. New Series 43 Geometric and Functional Analysis. GAFA 40 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 37 Journal of Mathematical Analysis and Applications 35 Compositio Mathematica 35 Manuscripta Mathematica 33 Publications Mathématiques 33 Journal of Functional Analysis 32 Journal d’Analyse Mathématique 31 Discrete and Continuous Dynamical Systems 28 Tôhoku Mathematical Journal. Second Series 28 Journal of the American Mathematical Society 25 Journal of High Energy Physics 24 Annals of Mathematics. Second Series 24 Journal of Modern Dynamics 23 Mathematical Proceedings of the Cambridge Philosophical Society 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Journal of Algebra 22 Forum Mathematicum 22 Journal of Difference Equations and Applications 21 Journal of Homotopy and Related Structures 20 Bulletin de la Société Mathématique de France 20 Differential Geometry and its Applications 20 Journal of Fixed Point Theory and Applications 19 Journal of Mathematical Sciences (New York) 19 Acta Mathematica Sinica. English Series 18 Journal für die Reine und Angewandte Mathematik 18 Journal of the European Mathematical Society (JEMS) 17 Annals of Global Analysis and Geometry 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Bulletin of the American Mathematical Society 16 Nuclear Physics. B 16 Journal of Differential Equations 16 Journal of the London Mathematical Society. Second Series 16 Monatshefte für Mathematik 16 International Journal of Mathematics 16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 16 Qualitative Theory of Dynamical Systems 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Journal of Topology 14 Nonlinearity 14 Calculus of Variations and Partial Differential Equations 14 Journal of Topology and Analysis 13 Michigan Mathematical Journal 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 Memoirs of the American Mathematical Society 12 Nagoya Mathematical Journal 12 Discrete & Computational Geometry 12 Potential Analysis 12 Selecta Mathematica. New Series 12 Annales Academiae Scientiarum Fennicae. Mathematica 11 Bulletin of the Australian Mathematical Society 11 Kodai Mathematical Journal 11 Proceedings of the Japan Academy. Series A 11 Science in China. Series A 11 Expositiones Mathematicae 11 Journal of Noncommutative Geometry 11 Complex Manifolds 10 Journal of Statistical Physics 10 Letters in Mathematical Physics 10 Mathematical Notes 10 Reviews in Mathematical Physics 10 Journal of the Mathematical Society of Japan 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Revista Matemática Iberoamericana 10 Proceedings of the Steklov Institute of Mathematics 10 Groups, Geometry, and Dynamics 10 European Journal of Mathematics 9 Arkiv för Matematik 9 Functional Analysis and its Applications 9 Proceedings of the London Mathematical Society. Third Series 9 \(K\)-Theory 9 Experimental Mathematics 9 Communications in Contemporary Mathematics 9 Forum of Mathematics, Sigma 8 Archiv der Mathematik 8 Bulletin of the London Mathematical Society ...and 289 more Serials all top 5 Cited in 60 Fields 1,238 Dynamical systems and ergodic theory (37-XX) 858 Manifolds and cell complexes (57-XX) 834 Algebraic topology (55-XX) 747 Functions of a complex variable (30-XX) 722 Differential geometry (53-XX) 474 Several complex variables and analytic spaces (32-XX) 466 Global analysis, analysis on manifolds (58-XX) 269 Group theory and generalizations (20-XX) 240 Algebraic geometry (14-XX) 186 Topological groups, Lie groups (22-XX) 176 Measure and integration (28-XX) 156 Number theory (11-XX) 156 Category theory; homological algebra (18-XX) 143 Quantum theory (81-XX) 120 Nonassociative rings and algebras (17-XX) 114 Associative rings and algebras (16-XX) 114 Convex and discrete geometry (52-XX) 110 Functional analysis (46-XX) 107 Probability theory and stochastic processes (60-XX) 102 General topology (54-XX) 94 Partial differential equations (35-XX) 80 \(K\)-theory (19-XX) 69 Potential theory (31-XX) 58 Combinatorics (05-XX) 58 Numerical analysis (65-XX) 56 Relativity and gravitational theory (83-XX) 48 Commutative algebra (13-XX) 38 Computer science (68-XX) 35 Abstract harmonic analysis (43-XX) 33 Real functions (26-XX) 31 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 25 Geometry (51-XX) 24 Difference and functional equations (39-XX) 23 Mathematical logic and foundations (03-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 History and biography (01-XX) 21 Field theory and polynomials (12-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 21 Mechanics of particles and systems (70-XX) 19 General and overarching topics; collections (00-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 9 Fluid mechanics (76-XX) 8 Approximations and expansions (41-XX) 6 Special functions (33-XX) 6 Systems theory; control (93-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 5 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. 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