Edit Profile Sullivan, Dennis Parnell Compute Distance To: Compute 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 all top 5 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 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 Journal of Symplectic Geometry 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Journal of Topology and Analysis 1 Journal of Singularities all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0374.57002Sullivan, Dennis 524 1977 Real homotopy theory of Kähler manifolds. Zbl 0312.55011Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis 309 1975 On the dynamics of rational maps. Zbl 0524.58025Mane, R.; Sad, P.; Sullivan, D. 198 1983 The density at infinity of a discrete group of hyperbolic motions. Zbl 0439.30034Sullivan, Dennis 173 1979 Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. Zbl 0589.30022Sullivan, Dennis 165 1985 Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Zbl 0566.58022Sullivan, Dennis 149 1984 Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015Sullivan, Dennis 116 1976 Genetics of homotopy theory and the Adams conjecture. Zbl 0355.57007Sullivan, Dennis 107 1974 The convergence of circle packings to the Riemann mapping. Zbl 0694.30006Rodin, Burt; Sullivan, Dennis 102 1987 Symmetric structures on a closed curve. Zbl 0778.30045Gardiner, Frederick P.; Sullivan, Dennis P. 88 1992 String topology in dimensions two and three. Zbl 1185.55013Chas, Moira; Sullivan, Dennis 81 2009 Related aspects of positivity in Riemannian geometry. Zbl 0615.53029Sullivan, Dennis 79 1987 Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016Sullivan, Dennis 78 1992 The homology theory of the closed geodesic problem. Zbl 0361.53058Vigue-Poirrier, Micheline; Sullivan, Dennis 77 1976 Currents, flows and diffeomorphisms. Zbl 0321.58019Ruelle, David; Sullivan, Dennis 72 1975 Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. Zbl 0517.58028Sullivan, Dennis 71 1982 Function theory, random paths and covering spaces. Zbl 0554.58022Lyons, Terry; Sullivan, Dennis 70 1984 Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044Sullivan, Dennis 66 1985 On the iteration of a rational function: Computer experiments with Newton’s method. Zbl 0524.65032Curry, James H.; Garnett, Lucy; Sullivan, Dennis 66 1983 The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037Sullivan, D. 62 1983 Discrete conformal groups and measurable dynamics. Zbl 0489.58027Sullivan, Dennis 58 1982 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 57 1989 A remark on the Lefschetz fixed point formula for differentiable maps. Zbl 0291.58014Shub, M.; Sullivan, D. 55 1974 Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028McMullen, Curtis T.; Sullivan, Dennis P. 51 1998 A topological invariant of flows on 1-dimensional spaces. Zbl 0314.54045Parry, Bill; Sullivan, Dennis 51 1975 Extending holomorphic motions. Zbl 0619.30026Sullivan, Dennis P.; Thurston, William P. 49 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 Foliations with all leaves compact. Zbl 0356.57022Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 41 1977 On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. Zbl 0567.58015Sullivan, Dennis 40 1981 A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025Sullivan, Dennis 40 1979 The transversality characteristic class and linking cycles in surgery theory. Zbl 0295.57008Morgan, John W.; Sullivan, Dennis P. 39 1974 Expanding endomorphisms of the circle revisited. Zbl 0583.58022Shub, Michael; Sullivan, Dennis 37 1985 On the intersection ring of compact three manifolds. Zbl 0312.57003Sullivan, Dennis 36 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 Homology theory and dynamical systems. Zbl 0408.58023Shub, M.; Sullivan, D. 34 1975 Closed string operators in topology leading to Lie bialgebras and higher string algebra. Zbl 1068.55009Chas, Moira; Sullivan, Dennis 29 2004 Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025Sullivan, Dennis; Thurston, William 29 1983 Conformal dynamical systems. Zbl 0524.58024Sullivan, Dennis 29 1983 Axiomatic characterization of ordinary differential cohomology. Zbl 1163.57020Simons, James; Sullivan, Dennis 28 2008 Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes. Zbl 0871.57021Sullivan, D. P. 28 1996 Combinatorial invariants of analytic spaces. Zbl 0227.32005Sullivan, D. 27 1971 Differential forms and the topology of manifolds. Zbl 0319.58005Sullivan, D. 26 1975 A counterexample to the periodic orbit conjecture. Zbl 0372.58011Sullivan, Dennis 25 1976 On the Kervaire obstruction. Zbl 0227.57012Rourke, C. P.; Sullivan, D. P. 25 1971 Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009Simons, James; Sullivan, Dennis 21 2010 Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors- Bers. Zbl 0803.58018Sullivan, Dennis 21 1993 Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes. Zbl 0840.57013Connes, Alain; Sullivan, Dennis; Teleman, Nicolas 20 1994 On complexes that are Lipschitz manifolds. Zbl 0478.57008Siebenmann, L.; Sullivan, D. 18 1979 Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki. Zbl 1078.55001Sullivan, Dennis P. 17 2005 Hyperbolic geometry and homeomorphisms. Zbl 0478.57007Sullivan, Dennis 16 1979 Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis 15 1987 A finiteness theorem for cusps. Zbl 0502.57004Sullivan, Dennis 15 1981 Rufus Bowen (1947-1978). Zbl 0418.01006Sullivan, Dennis 15 1979 Fibres vectoriels complexes à groupe structural discret. Zbl 0317.55016Deligne, Pierre; Sullivan, Dennis 15 1975 On the locally branched Euclidean metric gauge. Zbl 1019.58002Heinonen, Juha; Sullivan, Dennis 14 2002 A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015Sullivan, Dennis 14 1978 The Euler characteristic of an affine space form is zero. Zbl 0313.57009Kostant, Bertram; Sullivan, D. 14 1975 Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082Sullivan, Dennis 13 2004 Topological conjugacy of circle diffeomorphisms. Zbl 0997.37010Hu, Jun; Sullivan, Dennis P. 13 1997 Geometry of leaves. Zbl 0454.57016Phillips, Anthony; Sullivan, Dennis 13 1981 Genericity theorems in topological dynamics. Zbl 0341.54053Palis, J.; Pugh, C.; Shub, M.; Sullivan, D. 13 1975 Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland 11 1986 On the Hauptvermutung for manifolds. Zbl 0153.54002Sullivan, D. 11 1967 A formula for topology/deformations and its significance. Zbl 1300.55024Lawrence, Ruth; Sullivan, Dennis 10 2014 An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045Sullivan, D.; Teleman, N. 10 1983 Itération des fonctions analytiques complexes. Zbl 0496.30016Sullivan, Dennis 10 1982 Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006Sullivan, Dennis 10 1981 A generalization of Milnor’s inequality concerning affine foliations and affine manifolds. Zbl 0335.57017Sullivan, Dennis 10 1976 Singularities in spaces. Zbl 0233.57006Sullivan, D. 9 1971 The homotopy invariance of the string topology loop product and string bracket. Zbl 1146.55002Cohen, Ralph L.; Klein, John R.; Sullivan, Dennis 8 2008 String topology background and present state. Zbl 1171.55003Sullivan, Dennis 8 2007 The circle and the solenoid. Zbl 1121.37032Pinto, A. A.; Sullivan, D. 8 2006 \(p\)-universal spaces and rational homotopy types. Zbl 0905.55008Body, Richard; Mimura, Mamoru; Shiga, Hiroo; Sullivan, Dennis 8 1998 Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070Norton, Alec; Sullivan, Dennis 8 1996 Exterior \(d\), the local degree, and smoothability. Zbl 0926.57027Sullivan, Dennis 8 1995 Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046Gambaudo, J. M.; Sullivan, D.; Tresser, C. 8 1994 Geometric periodicity and the invariants of manifolds. Zbl 0224.57002Sullivan, Dennis 8 1971 Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027Sullivan, Dennis 7 1988 On the measurable dynamics of \(z\mapsto e^ z\). Zbl 0616.58006Ghys, Etienne; Goldberg, Lisa R.; Sullivan, Dennis P. 7 1985 Division algebras and the Hausdorff-Banach-Tarski paradox. Zbl 0521.57035Deligne, Pierre; Sullivan, Dennis 7 1983 Solenoidal manifolds. Zbl 1323.57018Sullivan, Dennis 6 2014 On geometrically finite branched coverings. II. Realization of rational maps. Zbl 1201.37067Ciu, Guizhen; Jiang, Yunping; Sullivan, Dennis 6 2003 Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis 6 1996 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. 6 1990 On the homology of attractors. Zbl 0332.58011Sullivan, Dennis; Williams, R. F. 6 1976 On the regular neighborhood of a two-sided submanifold. Zbl 0177.52201Cohen, M.; Sullivan, D. 6 1970 René Thom’s work on geometric homology and bordism. Zbl 1045.57001Sullivan, Dennis 5 2004 Quasiconformal homeomorphisms in dynamics, topology, and geometry. Zbl 0698.58030Sullivan, Dennis 5 1987 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 Sigma models and string topology. Zbl 1080.53085Sullivan, Dennis 4 2005 On geometrically finite branched coverings. I. Locally combinatorial attracting. Zbl 1201.37068Cui, Guizhen; Jiang, Yunping; Sullivan, Dennis 4 2003 Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces. Zbl 0602.58046Pignataro, Thea; Sullivan, Dennis 4 1986 Nilpotent bases for distributions and control systems. Zbl 0507.58007Hermes, Henry; Lundell, Albert; Sullivan, Dennis 4 1984 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 Structured bundles define differential K-theory. Zbl 1204.57021Simons, James; Sullivan, Dennis 3 2008 Lacunary series as quadratic differentials in conformal dynamics. Zbl 0814.30027Gardiner, Frederick P.; Sullivan, Dennis 3 1994 Related aspects of positivity: \(\lambda\)-potential theory on manifolds, lowest eigenstates, Hausdorff geometry, renormalized Markoff processes. Zbl 0587.53048Sullivan, Dennis 3 1986 Marcel Berger remembered. Zbl 1377.01033LeBrun, 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 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 10 2014 Solenoidal manifolds. Zbl 1323.57018Sullivan, Dennis 6 2014 Differential characters for \(K\)-theory. Zbl 1256.19007Simons, James; Sullivan, Dennis 1 2012 A finite time blowup result for quadratic ODE’s. Zbl 1250.34029Sullivan, Dennis 1 2011 Algebra, topology and algebraic topology of 3D ideal fluids. Zbl 1238.35105Sullivan, Dennis 1 2011 Structured vector bundles define differential \(K\)-theory. Zbl 1216.19009Simons, James; Sullivan, Dennis 21 2010 String topology in dimensions two and three. Zbl 1185.55013Chas, Moira; Sullivan, Dennis 81 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 28 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 3 2008 String topology background and present state. Zbl 1171.55003Sullivan, Dennis 8 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. 17 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 29 2004 Open and closed string field theory interpreted in classical algebraic topology. Zbl 1088.81082Sullivan, Dennis 13 2004 René Thom’s work on geometric homology and bordism. Zbl 1045.57001Sullivan, Dennis 5 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 14 2002 Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system. Zbl 0926.30028McMullen, Curtis T.; Sullivan, Dennis P. 51 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 Wandering domains and invariant conformal structures for mappings of the \(2\)-torus. Zbl 0871.58070Norton, Alec; Sullivan, Dennis 8 1996 Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space. Zbl 0959.32026Biswas, Indranil; Nag, Subhashis; Sullivan, Dennis 6 1996 The Hauptvermutung book. A collection of papers of the topology of manifolds. Zbl 0853.00012Ranicki, A. A. (ed.); Casson, A. J. (ed.); Sullivan, D. P. (ed.); Armstrong, M. A. (ed.); Rourke, C. P. (ed.); Cooke, G. E. (ed.) 2 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 20 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 21 1993 Local formulas for topological Pontrjagin classes. Zbl 0782.57015Connes, Alain; Sullivan, Dennis; Teleman, Nicolas 2 1993 Symmetric structures on a closed curve. Zbl 0778.30045Gardiner, Frederick P.; Sullivan, Dennis P. 88 1992 Bounds, quadratic differentials, and renormalization conjectures. Zbl 0936.37016Sullivan, Dennis 78 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. 6 1990 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 57 1989 Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0665.58027Sullivan, Dennis 7 1988 Differentiable structures on fractal like sets, determined by intrinsic scaling functions on dual Cantor sets. Zbl 0707.58038Sullivan, Dennis 2 1988 Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture. Zbl 0735.30039Hardt, Robert; Sullivan, Dennis 2 1988 The convergence of circle packings to the Riemann mapping. Zbl 0694.30006Rodin, Burt; Sullivan, Dennis 102 1987 Related aspects of positivity in Riemannian geometry. Zbl 0615.53029Sullivan, Dennis 79 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 5 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. 49 1986 Generic dynamics and monotone complete \(C^ *\)-algebras. Zbl 0617.46069Sullivan, Dennis; Weiss, B.; Wright, J. D. Maitland 11 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 165 1985 Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups. Zbl 0606.30044Sullivan, Dennis 66 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 149 1984 Function theory, random paths and covering spaces. Zbl 0554.58022Lyons, Terry; Sullivan, Dennis 70 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. 198 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 The Dirichlet problem at infinity for a negatively curved manifold. Zbl 0541.53037Sullivan, D. 62 1983 Manifolds with canonical coordinate charts: Some examples. Zbl 0529.53025Sullivan, Dennis; Thurston, William 29 1983 Conformal dynamical systems. Zbl 0524.58024Sullivan, Dennis 29 1983 An analytic proof of Novikov’s theorem on rational Pontrjagin classes. Zbl 0531.58045Sullivan, D.; Teleman, N. 10 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 71 1982 Discrete conformal groups and measurable dynamics. Zbl 0489.58027Sullivan, Dennis 58 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 40 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 A finiteness theorem for cusps. Zbl 0502.57004Sullivan, Dennis 15 1981 Geometry of leaves. Zbl 0454.57016Phillips, Anthony; Sullivan, Dennis 13 1981 Travaux de Thurston sur les groupes quasi-Fuchsiens et les variétés hyperboliques de dimension 3 fibrees sur \(S^ 1\). Zbl 0459.57006Sullivan, Dennis 10 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 173 1979 A homological characterization of foliations consisting of minimal surfaces. Zbl 0409.57025Sullivan, Dennis 40 1979 On complexes that are Lipschitz manifolds. Zbl 0478.57008Siebenmann, L.; Sullivan, D. 18 1979 Hyperbolic geometry and homeomorphisms. Zbl 0478.57007Sullivan, Dennis 16 1979 Rufus Bowen (1947-1978). Zbl 0418.01006Sullivan, Dennis 15 1979 A foliation of geodesics is characterized by having no ”tangent homologies”. Zbl 0402.57015Sullivan, Dennis 14 1978 Infinitesimal computations in topology. Zbl 0374.57002Sullivan, Dennis 524 1977 Foliations with all leaves compact. Zbl 0356.57022Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 41 1977 Real homotopy theory of Kähler manifolds. Zbl 0355.55016Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis 3 1977 Cycles for the dynamical study of foliated manifolds and complex manifolds. Zbl 0335.57015Sullivan, Dennis 116 1976 The homology theory of the closed geodesic problem. Zbl 0361.53058Vigue-Poirrier, Micheline; Sullivan, Dennis 77 1976 A counterexample to the periodic orbit conjecture. Zbl 0372.58011Sullivan, Dennis 25 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 Cartan de Rham homotopy theory. Zbl 0326.58005Sullivan, Dennis 1 1976 Real homotopy theory of Kähler manifolds. Zbl 0312.55011Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis 309 1975 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) 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.