Edit Profile (opens in new tab) Manning, Anthony Compute Distance To: Compute Author ID: manning.anthony Published as: Manning, Anthony; Manning, A. External Links: MGP Documents Indexed: 33 Publications since 1971 1 Contribution as Editor Co-Authors: 9 Co-Authors with 10 Joint Publications 389 Co-Co-Authors all top 5 Co-Authors 24 single-authored 3 Simon, Károly 2 Humphries, Stephen P. 1 Brin, Michael 1 Chen, Su-Shing 1 Duan, Jinqiao 1 Fu, Xinchu 1 Liu, Peide 1 McCluskey, Heather 1 Schmidt, Klaus all top 5 Serials 5 Ergodic Theory and Dynamical Systems 3 Bulletin of the London Mathematical Society 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 2 Annals of Mathematics. Second Series 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Nonlinearity 1 American Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Applied Mathematics Letters 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Lecture Notes in Mathematics all top 5 Fields 28 Dynamical systems and ergodic theory (37-XX) 9 Measure and integration (28-XX) 8 Differential geometry (53-XX) 6 General topology (54-XX) 5 Manifolds and cell complexes (57-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 496 times in 452 Documents Cited by ▼ Year ▼ Topological entropy for geodesic flows. Zbl 0426.58016Manning, Anthony 106 1979 There are no new Anosov diffeomorphisms on tori. Zbl 0242.58003Manning, Anthony 91 1974 Hausdorff dimension for horseshoes. Zbl 0529.58022McCluskey, Heather; Manning, Anthony 68 1983 Axiom A diffeomorphisms have rational zeta functions. Zbl 0219.58007Manning, A. 63 1971 The dimension of the maximal measure for a polynomial map. Zbl 0551.30021Manning, Anthony 25 1984 A relation between Lyapunov exponents, Hausdorff dimension and entropy. Zbl 0487.58011Manning, Anthony 23 1981 A linear chaotic quantum harmonic oscillator. Zbl 0956.37057Duan, J.; Fu, X.-C.; Liu, P.-D.; Manning, A. 20 1999 Dimension of slices through the Sierpinski carpet. Zbl 1273.28005Manning, Anthony; Simon, Károly 13 2013 Curvature bounds for the entropy of the geodesic flow on a surface. Zbl 0443.53035Manning, Anthony 12 1981 Topological entropy and the first homology group. Zbl 0307.54042Manning, Anthony 9 1975 Anosov diffeomorphisms on nilmanifolds. Zbl 0242.58004Manning, Anthony 9 1973 The convergence of zeta functions for certain geodesic flows depends on their pressure. Zbl 0437.58016Chen, Su-shing; Manning, Anthony 6 1981 Subadditive pressure for triangular maps. Zbl 1147.37014Manning, A.; Simon, K. 6 2007 How to be sure of finding a root of a complex polynomial using Newton’s method. Zbl 0776.65035Manning, Anthony 5 1992 The volume entropy of a surface decreases along the Ricci flow. Zbl 1115.37027Manning, Anthony 5 2004 Anosov diffeomorphisms with pinched spectrum. Zbl 0486.58023Brin, M.; Manning, A. 5 1981 Dynamics of geodesic and horocycle flows on surfaces of constant negative curvature. Zbl 0753.58023Manning, Anthony 4 1991 Curves of fixed points of trace maps. Zbl 1143.37031Humphries, Stephen; Manning, Anthony 4 2007 A Markov partition that reflects the geometry of a hyperbolic toral automorphism. Zbl 1042.37023Manning, Anthony 3 2002 A short existence proof for correlation dimension. Zbl 0959.37006Manning, Anthony; Simon, Károly 3 1998 The limit of a pedal sequence of triangles. Zbl 1214.37028Manning, Anthony 3 2010 Relating exponential growth in a manifold and its fundamental group. Zbl 1108.37027Manning, Anthony 2 2005 Irrationality of linear combinations of eigenvectors. Zbl 0853.15004Manning, Anthony 2 1995 Logarithmic capacity and renormalizability for landing on the Mandelbrot set. Zbl 0853.58089Manning, Anthony 2 1996 More topological entropy for geodesic flows. Zbl 0489.58025Manning, Anthony 2 1981 Dynamical systems - Warwick 1974. Proceedings of a symposium held at the University of Warwick 1973/74. Zbl 0299.00031 2 1975 Toral automorphisms, topological entropy and the fundamental group. Zbl 0383.54027Manning, Anthony 1 1978 Classification of Anosov diffeomorphisms on tori. Zbl 0307.58014Manning, Anthony 1 1975 Errata to “Hausdorff dimension for horseshoes”. Zbl 0566.58027Manning, Anthony 1 1985 Dimension of slices through the Sierpinski carpet. Zbl 1273.28005Manning, Anthony; Simon, Károly 13 2013 The limit of a pedal sequence of triangles. Zbl 1214.37028Manning, Anthony 3 2010 Subadditive pressure for triangular maps. Zbl 1147.37014Manning, A.; Simon, K. 6 2007 Curves of fixed points of trace maps. Zbl 1143.37031Humphries, Stephen; Manning, Anthony 4 2007 Relating exponential growth in a manifold and its fundamental group. Zbl 1108.37027Manning, Anthony 2 2005 The volume entropy of a surface decreases along the Ricci flow. Zbl 1115.37027Manning, Anthony 5 2004 A Markov partition that reflects the geometry of a hyperbolic toral automorphism. Zbl 1042.37023Manning, Anthony 3 2002 A linear chaotic quantum harmonic oscillator. Zbl 0956.37057Duan, J.; Fu, X.-C.; Liu, P.-D.; Manning, A. 20 1999 A short existence proof for correlation dimension. Zbl 0959.37006Manning, Anthony; Simon, Károly 3 1998 Logarithmic capacity and renormalizability for landing on the Mandelbrot set. Zbl 0853.58089Manning, Anthony 2 1996 Irrationality of linear combinations of eigenvectors. Zbl 0853.15004Manning, Anthony 2 1995 How to be sure of finding a root of a complex polynomial using Newton’s method. Zbl 0776.65035Manning, Anthony 5 1992 Dynamics of geodesic and horocycle flows on surfaces of constant negative curvature. Zbl 0753.58023Manning, Anthony 4 1991 Errata to “Hausdorff dimension for horseshoes”. Zbl 0566.58027Manning, Anthony 1 1985 The dimension of the maximal measure for a polynomial map. Zbl 0551.30021Manning, Anthony 25 1984 Hausdorff dimension for horseshoes. Zbl 0529.58022McCluskey, Heather; Manning, Anthony 68 1983 A relation between Lyapunov exponents, Hausdorff dimension and entropy. Zbl 0487.58011Manning, Anthony 23 1981 Curvature bounds for the entropy of the geodesic flow on a surface. Zbl 0443.53035Manning, Anthony 12 1981 The convergence of zeta functions for certain geodesic flows depends on their pressure. Zbl 0437.58016Chen, Su-shing; Manning, Anthony 6 1981 Anosov diffeomorphisms with pinched spectrum. Zbl 0486.58023Brin, M.; Manning, A. 5 1981 More topological entropy for geodesic flows. Zbl 0489.58025Manning, Anthony 2 1981 Topological entropy for geodesic flows. Zbl 0426.58016Manning, Anthony 106 1979 Toral automorphisms, topological entropy and the fundamental group. Zbl 0383.54027Manning, Anthony 1 1978 Topological entropy and the first homology group. Zbl 0307.54042Manning, Anthony 9 1975 Dynamical systems - Warwick 1974. Proceedings of a symposium held at the University of Warwick 1973/74. Zbl 0299.00031 2 1975 Classification of Anosov diffeomorphisms on tori. Zbl 0307.58014Manning, Anthony 1 1975 There are no new Anosov diffeomorphisms on tori. Zbl 0242.58003Manning, Anthony 91 1974 Anosov diffeomorphisms on nilmanifolds. Zbl 0242.58004Manning, Anthony 9 1973 Axiom A diffeomorphisms have rational zeta functions. Zbl 0219.58007Manning, A. 63 1971 all cited Publications top 5 cited Publications all top 5 Cited by 528 Authors 11 Katok, Anatole B. 11 Pollicott, Mark 9 Knieper, Gerhard 8 Damanik, David 8 Gorodetskii, Anton Semenovich 7 Barreira, Luis Manuel 6 Hammerlindl, Andy 6 Kostić, Marko 6 Ruelle, David Pierre 6 Sharp, Richard W. 6 Weiss, Howard 5 Burns, Keith 5 Fried, David 5 Manning, Anthony 5 Potrie, Rafael 5 Sambusetti, Andrea 5 Urbański, Mariusz 5 Wolf, Christian K. 5 Wu, Xinxing 4 Besson, Gérard 4 Courtois, Gilles 4 Dekimpe, Karel 4 Gallot, Sylvestre 4 Gelfert, Katrin Grit 4 Haydn, Nicolai T. A. 4 Lopes, Artur Oscar 4 Pesin, Yakov Borisovich 4 Spatzier, Ralf J. 4 Yessen, William N. 3 Bedford, Eric 3 Bray, Harrison 3 Buzzi, Jérôme 3 Climenhaga, Vaughn 3 Contreras, Gonzalo 3 Damjanović, Danijela 3 Falconer, Kenneth J. 3 Fel’shtyn, Alexander 3 Gogolev, Andrey 3 Hou, Bingzhe 3 Hu, Huyi 3 Kalinin, Boris 3 Mañé, Ricardo 3 Martínez-Giménez, Félix 3 Mihailescu, Eugen Gh. 3 Miles, Richard B. 3 Moriyón, Roberto 3 Parry, William 3 Peris, Alfredo 3 Przytycki, Feliks 3 Rand, David A. 3 Smillie, John 3 Wang, Fang 3 Wilkinson, Amie 3 Xi, Lifeng 3 Xu, Disheng 3 Zhao, Yun 3 Zhu, Peiyong 2 Adachi, Toshiaki 2 Aoki, Nobuo 2 Arnoux, Pierre 2 Barthelmé, Thomas 2 Béal, Marie-Pierre 2 Boyland, Philip L. 2 Brown, Aaron W. 2 Cao, Yongluo 2 Cerbelli, Stefano 2 Cerocchi, Filippo 2 Chen, Su-Shing 2 Chung, Yong Moo 2 Constantine, David 2 Coornaert, Michel 2 Coven, Ethan M. 2 Davidovic, Branko 2 de Carvalho, Maria Pires 2 Deré, Jonas 2 Donnay, Victor J. 2 Dougall, Rhiannon 2 Farrell, F. Thomas 2 Fisher, David Michael 2 Fraser, Jonathan MacDonald 2 Fu, Xinchu 2 Gan, Shaobo 2 Giona, Massimiliano 2 Grines, Vyacheslav Zigmundovich 2 Gutkin, Eugene 2 Hirayama, Michihiro 2 Hu, Wen-Guei 2 Hurder, Steven E. 2 Oertel-Jäger, Tobias Hendrik 2 Jane, Dan 2 Jin, Xiong 2 Lafont, Jean-François 2 Lauret, Jorge 2 Leplaideur, Renaud 2 Lerman, Lev 2 Letić, Duško 2 Liao, Gang 2 Lim, Seonhee 2 Lin, Song-Sun 2 Lyubich, Mikhail ...and 428 more Authors all top 5 Cited in 132 Serials 54 Ergodic Theory and Dynamical Systems 27 Inventiones Mathematicae 19 Communications in Mathematical Physics 18 Transactions of the American Mathematical Society 16 Proceedings of the American Mathematical Society 15 Israel Journal of Mathematics 14 Discrete and Continuous Dynamical Systems 13 Advances in Mathematics 9 Journal of Statistical Physics 9 Monatshefte für Mathematik 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Duke Mathematical Journal 7 Mathematische Annalen 7 Mathematische Zeitschrift 7 Journal of Modern Dynamics 6 Dynamical Systems 5 Annales de l’Institut Fourier 5 Topology and its Applications 5 The Journal of Geometric Analysis 4 Mathematical Notes 4 Nonlinearity 4 Acta Mathematica 4 Geometric and Functional Analysis. GAFA 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Annals of Mathematics. Second Series 4 Annales Henri Poincaré 4 Algebraic & Geometric Topology 4 Science China. Mathematics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Chaos, Solitons and Fractals 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Geometriae Dedicata 3 Journal of the London Mathematical Society. Second Series 3 Memoirs of the American Mathematical Society 3 Physica D 3 Differential Geometry and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Abstract and Applied Analysis 3 Geometry & Topology 3 Chaos 3 Acta Mathematica Sinica. English Series 2 Archiv der Mathematik 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Journal of Algebra 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Results in Mathematics 2 Advances in Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Dynamics and Differential Equations 2 Indagationes Mathematicae. New Series 2 Journal of Difference Equations and Applications 2 Novi Sad Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Dynamical and Control Systems 2 Qualitative Theory of Dynamical Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Bulletin of the American Mathematical Society 2 Journal of Fixed Point Theory and Applications 2 Journal of Topology and Analysis 2 Arnold Mathematical Journal 1 International Journal of Modern Physics B 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Le Matematiche 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Discrete & Computational Geometry 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques ...and 32 more Serials all top 5 Cited in 39 Fields 355 Dynamical systems and ergodic theory (37-XX) 102 Differential geometry (53-XX) 64 Measure and integration (28-XX) 38 Manifolds and cell complexes (57-XX) 34 General topology (54-XX) 30 Global analysis, analysis on manifolds (58-XX) 26 Functions of a complex variable (30-XX) 23 Group theory and generalizations (20-XX) 23 Topological groups, Lie groups (22-XX) 22 Number theory (11-XX) 18 Operator theory (47-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Several complex variables and analytic spaces (32-XX) 12 Algebraic topology (55-XX) 12 Quantum theory (81-XX) 9 Probability theory and stochastic processes (60-XX) 7 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 6 Computer science (68-XX) 5 Nonassociative rings and algebras (17-XX) 5 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year