Edit Profile (opens in new tab) Sigmund, Karl Compute Distance To: Compute Author ID: sigmund.karl Published as: Sigmund, Karl; Sigmund, K. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 111 Publications since 1969, including 10 Books 10 Contributions as Editor Co-Authors: 58 Co-Authors with 68 Joint Publications 1,489 Co-Co-Authors all top 5 Co-Authors 52 single-authored 15 Schuster, Peter 14 Hofbauer, Josef 10 Nowak, Martin Andreas 7 Wolff, Robert 4 Dawson, John W. jun. 4 Hauert, Christoph 4 Traulsen, Arne 3 Brandt, Hannelore 3 Dieckmann, Ulf 3 Kurzhanskiĭ, Aleksandr Borisovich 3 Michor, Peter Wolfram 2 Aubin, Jean-Pierre 2 Beham, Bernhard 2 Boerlijst, Maarten C. 2 De Silva, Hannelore 2 Hilbe, Christian 2 Hlawka, Edmund 2 Menger, Karl 2 Sigmund, Anna Maria 1 Alt, Franz L. 1 Bauer, Walter 1 Binder, Christa 1 Brännström, Åke 1 Čap, Andreas 1 Debreu, Gérard 1 Demetrius, Lloyd A. 1 Denker, Manfred 1 Diekmann, Odo 1 Dierker, Egbert 1 El-Sedy, Esam. A. S. 1 Engelking, Ryszard 1 Enzensberger, Hans Magnus 1 Feichtinger, Hans Georg 1 Gaunersdorfer, Andrea 1 Golland, Louise Ahrndt 1 Gottlieb, Ramon 1 Grillenberger, Christian 1 Gruber, Peter Manfred 1 Haiden, Nina 1 Hauser, Herwig 1 Helmberg, Gilbert 1 Hildenbrand, Werner 1 Hofstadter, Douglas R. 1 Iwasa, Yoh 1 Jansen, Vincent A. A. 1 Koth, Maria 1 Lamel, Bernhard 1 Lee, Joung Hun 1 Merz, Philip 1 Metz, Johan A. Jacob 1 Mühlberger, Kurt 1 Reich, Ludwig 1 Saari, Donald Gene 1 Sabelis, Maurice W. 1 Sasaki, Tatsuya 1 Schachermayer, Walter 1 Schmetterer, Leopold 1 Schuder, P. 1 Schweizer, Berthold 1 Shigesada, Nanako 1 Sklar, Abe 1 Takeuchi, Yasuhiro 1 Teichmann, Josef 1 Teschl, Gerald 1 Uchida, Satoshi all top 5 Serials 9 Internationale Mathematische Nachrichten 8 The Mathematical Intelligencer 5 Theoretical Population Biology 4 Biological Cybernetics 4 Journal of Mathematical Biology 4 Journal of Theoretical Biology 3 Mathematical Biosciences 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 3 Bulletin of Mathematical Biology 3 Monatshefte für Mathematik 3 Proceedings of the National Academy of Sciences of the United States of America 2 Games and Economic Behavior 2 SIAM Journal on Applied Mathematics 2 Lecture Notes in Economics and Mathematical Systems 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 American Journal of Mathematics 1 Applied Mathematics and Computation 1 Compositio Mathematica 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Annals of Operations Research 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Complexity 1 Documenta Mathematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Lecture Notes in Mathematics 1 London Mathematical Society Student Texts 1 Proceedings of Symposia in Applied Mathematics 1 Science 1 Dynamic Games and Applications all top 5 Fields 42 Biology and other natural sciences (92-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 History and biography (01-XX) 24 Dynamical systems and ergodic theory (37-XX) 14 General and overarching topics; collections (00-XX) 13 Measure and integration (28-XX) 11 Ordinary differential equations (34-XX) 7 General topology (54-XX) 7 Probability theory and stochastic processes (60-XX) 3 Mathematical logic and foundations (03-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 3,266 times in 2,428 Documents Cited by ▼ Year ▼ Evolutionary games and population dynamics. Zbl 0914.90287Hofbauer, Josef; Sigmund, Karl 1,101 1998 Ergodic theory on compact spaces. Zbl 0328.28008Denker, Manfred; Grillenberger, Christian; Sigmund, Karl 370 1976 The theory of evolution and dynamical systems. Mathematical aspects of selection. Zbl 0678.92010Hofbauer, Josef; Sigmund, Karl 229 1988 Evolutionary game dynamics. Zbl 1049.91025Hofbauer, Josef; Sigmund, Karl 221 2003 The calculus of selfishness. Zbl 1189.91010Sigmund, Karl 147 2010 Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl 109 2007 On dynamical systems with the specification property. Zbl 0286.28010Sigmund, Karl 79 1974 Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502Sigmund, Karl 70 1970 Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042Bauer, Walter; Sigmund, Karl 65 1975 Adaptive dynamics and evolutionary stability. Zbl 0709.92015Hofbauer, J.; Sigmund, K. 65 1990 The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092Nowak, Martin; Sigmund, Karl 54 1990 Exploration dynamics in evolutionary games. Zbl 1202.91029Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl 44 2009 Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles. Zbl 0384.34029Schuster, P.; Sigmund, K.; Wolff, R. 40 1979 On \(\omega\)-limits for competition between three species. Zbl 0418.92016Schuster, P.; Sigmund, K.; Wolff, R. 40 1979 Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl 34 2013 On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024Hofbauer, J.; Sigmund, K. 25 1989 The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Zbl 1355.91045Sasaki, Tatsuya; Brännström, Åke; Dieckmann, Ulf; Sigmund, Karl 25 2012 Selfregulation of behaviour in animal societies. I. Symmetric contests. Zbl 0465.92016Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert 23 1981 Selfregulation of behaviour in animal societies. II. Games between two populations without selfinteraction. Zbl 0465.92017Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert 23 1981 Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles. Zbl 0384.34028Schuster, P.; Sigmund, K.; Wolff, R. 23 1978 Automata, repeated games and noise. Zbl 0837.90140Nowak, Martin A.; Sigmund, Karl; El-Sedy, Esam 23 1995 Polynucleotide evolution and branching processes. Zbl 0576.92020Demetrius, Lloyd; Schuster, Peter; Sigmund, Karl 21 1985 Permanence for replicator equations. Zbl 0638.92012Hofbauer, J.; Sigmund, K. 21 1987 On the space of invariant measures for hyperbolic flows. Zbl 0242.28014Sigmund, Karl 21 1972 Shaken not stirred: On permanence in ecological communities. Zbl 0963.92505Jansen, Vincent A. A.; Sigmund, Karl 20 1998 Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050 19 2002 Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023Schuster, Peter; Sigmund, Karl; Wolff, Robert 16 1980 Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R. 16 1980 The competition of assessment rules for indirect reciprocity. Zbl 1406.91055Uchida, Satoshi; Sigmund, Karl 16 2010 Game-dynamical aspects of the prisoner’s dilemma. Zbl 0673.90104Nowak, Martin; Sigmund, Karl 16 1989 Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029Hilbe, Christian; Traulsen, Arne; Sigmund, Karl 16 2015 Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction. Zbl 0465.92018Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Gottlieb, Ramon; Merz, Philip 15 1981 Game dynamics, mixed strategies, and gradient systems. Zbl 0618.92013Sigmund, Karl 15 1987 Competition and cooperation in catalytic selfreplication. Zbl 0448.92011Hofbauer, J.; Schuster, P.; Sigmund, K. 14 1981 On the dynamics of asymmetric games. Zbl 0732.92031Gaunersdorfer, Andrea; Hofbauer, Josef; Sigmund, Karl 14 1991 Permanence and uninvadability for deterministic population models. Zbl 0538.92018Sigmund, K.; Schuster, P. 13 1984 Evolutionstheorie und dynamische Systeme. Mathematische Aspekte der Selektion. Zbl 0578.92015Hofbauer, Josef; Sigmund, Karl 13 1984 Game dynamics in Mendelian populations. Zbl 0473.92015Hofbauer, Josef; Schuster, Peter; Sigmund, Karl 12 1982 On minimal centers of attraction and generic points. Zbl 0354.54025Sigmund, Karl 11 1977 Social control and the social contract: the emergence of sanctioning systems for collective action. Zbl 1214.91011Sigmund, Karl; Hauert, Christoph; Traulsen, Arne; De Silva, Hannelore 11 2011 Time averages for unpredictable orbits of deterministic systems. Zbl 0778.58050Sigmund, Karl 10 1992 On mixing measures for axiom A diffeomorphisms. Zbl 0225.28013Sigmund, Karl 10 1973 The calculus of selfishness. Reprint of the 2010 hardback edition. Zbl 1338.91008Sigmund, Karl 9 2016 On the connectedness of ergodic systems. Zbl 0365.28014Sigmund, Karl 8 1977 Equal pay for all prisoners. Zbl 1044.91500Boerlijst, Maarten C.; Nowak, Martin A.; Sigmund, Karl 8 1997 The dynamics of public goods. Zbl 1154.91398Hauert, Christoph; Haiden, Nina; Sigmund, Karl 8 2004 Games of corruption: how to suppress illegal logging. Zbl 1412.91008Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh 7 2015 On the distribution of periodic points for \(\beta\)-shifts. Zbl 0333.58008Sigmund, Karl 7 1976 A maximum principle for frequency dependent selection. Zbl 0617.92013Sigmund, Karl 6 1987 The population dynamics of conflict and cooperation. Zbl 0907.92027Sigmund, Karl 6 1998 Kolmogorov and population dynamics. Zbl 1222.01036Sigmund, Karl 6 2007 The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022Brandt, Hannelore; Sigmund, Karl 6 2006 A survey of replicator equations. Zbl 0606.92001Sigmund, Karl 5 1986 A philosopher’s mathematician: Hans Hahn and the Vienna circle. Zbl 0841.01012Sigmund, Karl 5 1995 Results of a mathematical colloquium. (Ergebnisse eines Mathematischen Kolloquiums. Mit Beiträgen von J. W. Dawson jun., R. Engelking, W. Hildenbrand, Geleitwort von G. Debreu, Nachwort von F. Alt. Hrsg. von E. Dierker und K. Sigmund.) Zbl 0917.01024Menger, Karl 4 1998 Exact thought in a demented time: Karl Menger and his Viennese Mathematical Colloquium. Zbl 1052.01522Golland, Louise; Sigmund, Karl 4 2000 Ergodic averages for Axiom A diffeomorphisms. Zbl 0214.15901Sigmund, K. 4 1971 On the prevalence of zero entropy. Zbl 0225.28012Sigmund, Karl 4 1971 The maximum principle for replicator equations. Zbl 0576.92023Sigmund, Karl 3 1985 Gradients for the evolution of bimatrix games. Zbl 0642.92010Koth, Maria; Sigmund, Karl 3 1987 A mathematical model of the hypercycle. Zbl 0437.92015Schuster, P.; Sigmund, K. 3 1980 On the time evolution of statistical states for Anosov systems. Zbl 0283.58012Sigmund, Karl 3 1974 Normal and quasiregular points for automorphisms of the torus. Zbl 0297.28020Sigmund, Karl 3 1975 Invasion dynamics of the finitely repeated prisoner’s dilemma. Zbl 0840.90143Nowak, Martin A.; Sigmund, Karl 3 1995 The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182Brandt, Hannelore; Sigmund, Karl 3 2004 Random selection. A simple model based on linear birth and death processes. Zbl 0525.92013Schuster, P.; Sigmund, K. 2 1984 Permanence and viability. Zbl 0659.93059Aubin, Jean-Pierre; Sigmund, Karl 2 1988 Affine transformations on the space of probability measures. Zbl 0385.28010Sigmund, Karl 2 1978 Leray in Edelbach. Zbl 1189.01064Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl 2 2005 Introduction to evolutionary game theory. Zbl 1241.91021Sigmund, Karl 2 2011 Random selection and the neutral theory. Sources of stochasticity in replication. Zbl 0541.60092Schuster, P.; Sigmund, K. 1 1984 Dynamics of macrosystems. Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, September 3-7, 1984. Zbl 0572.00024 1 1985 Permanence and heteroclinic cycles for ecological equations. Zbl 0665.92018Sigmund, Karl 1 1987 Fixation probabilities for advantageous mutants: A note on multiplication and sampling. Zbl 0669.92008Schuster, Peter; Sigmund, Karl 1 1989 Kepler in Eferding. Zbl 1055.01522Sigmund, Karl 1 2001 Exact thinking in demented times. The Vienna Circle and the epic quest for the foundations of science. With a preface by Douglas Hofstadter. Translated from the German by the author. Revised edition of the German original. Zbl 1404.03003Sigmund, Karl 1 2017 Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018Binder, Christa; Hlawka, Edmund; Sigmund, Karl 1 2006 Pictures at an exhibition. Zbl 1104.01318Sigmund, Karl 1 2006 Exact thinking in demented times. The Vienna Circle and the epic quest for the foundations of science. With a preface by Douglas Hofstadter. Translated from the German by the author. Revised edition of the German original. Zbl 1404.03003Sigmund, Karl 1 2017 The calculus of selfishness. Reprint of the 2010 hardback edition. Zbl 1338.91008Sigmund, Karl 9 2016 Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029Hilbe, Christian; Traulsen, Arne; Sigmund, Karl 16 2015 Games of corruption: how to suppress illegal logging. Zbl 1412.91008Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh 7 2015 Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl 34 2013 The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Zbl 1355.91045Sasaki, Tatsuya; Brännström, Åke; Dieckmann, Ulf; Sigmund, Karl 25 2012 Social control and the social contract: the emergence of sanctioning systems for collective action. Zbl 1214.91011Sigmund, Karl; Hauert, Christoph; Traulsen, Arne; De Silva, Hannelore 11 2011 Introduction to evolutionary game theory. Zbl 1241.91021Sigmund, Karl 2 2011 The calculus of selfishness. Zbl 1189.91010Sigmund, Karl 147 2010 The competition of assessment rules for indirect reciprocity. Zbl 1406.91055Uchida, Satoshi; Sigmund, Karl 16 2010 Exploration dynamics in evolutionary games. Zbl 1202.91029Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl 44 2009 Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl 109 2007 Kolmogorov and population dynamics. Zbl 1222.01036Sigmund, Karl 6 2007 The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022Brandt, Hannelore; Sigmund, Karl 6 2006 Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018Binder, Christa; Hlawka, Edmund; Sigmund, Karl 1 2006 Pictures at an exhibition. Zbl 1104.01318Sigmund, Karl 1 2006 Leray in Edelbach. Zbl 1189.01064Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl 2 2005 The dynamics of public goods. Zbl 1154.91398Hauert, Christoph; Haiden, Nina; Sigmund, Karl 8 2004 The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182Brandt, Hannelore; Sigmund, Karl 3 2004 Evolutionary game dynamics. Zbl 1049.91025Hofbauer, Josef; Sigmund, Karl 221 2003 Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050 19 2002 Kepler in Eferding. Zbl 1055.01522Sigmund, Karl 1 2001 Exact thought in a demented time: Karl Menger and his Viennese Mathematical Colloquium. Zbl 1052.01522Golland, Louise; Sigmund, Karl 4 2000 Evolutionary games and population dynamics. Zbl 0914.90287Hofbauer, Josef; Sigmund, Karl 1,101 1998 Shaken not stirred: On permanence in ecological communities. Zbl 0963.92505Jansen, Vincent A. A.; Sigmund, Karl 20 1998 The population dynamics of conflict and cooperation. Zbl 0907.92027Sigmund, Karl 6 1998 Results of a mathematical colloquium. (Ergebnisse eines Mathematischen Kolloquiums. Mit Beiträgen von J. W. Dawson jun., R. Engelking, W. Hildenbrand, Geleitwort von G. Debreu, Nachwort von F. Alt. Hrsg. von E. Dierker und K. Sigmund.) Zbl 0917.01024Menger, Karl 4 1998 Equal pay for all prisoners. Zbl 1044.91500Boerlijst, Maarten C.; Nowak, Martin A.; Sigmund, Karl 8 1997 Automata, repeated games and noise. Zbl 0837.90140Nowak, Martin A.; Sigmund, Karl; El-Sedy, Esam 23 1995 A philosopher’s mathematician: Hans Hahn and the Vienna circle. Zbl 0841.01012Sigmund, Karl 5 1995 Invasion dynamics of the finitely repeated prisoner’s dilemma. Zbl 0840.90143Nowak, Martin A.; Sigmund, Karl 3 1995 Time averages for unpredictable orbits of deterministic systems. Zbl 0778.58050Sigmund, Karl 10 1992 On the dynamics of asymmetric games. Zbl 0732.92031Gaunersdorfer, Andrea; Hofbauer, Josef; Sigmund, Karl 14 1991 Adaptive dynamics and evolutionary stability. Zbl 0709.92015Hofbauer, J.; Sigmund, K. 65 1990 The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092Nowak, Martin; Sigmund, Karl 54 1990 On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024Hofbauer, J.; Sigmund, K. 25 1989 Game-dynamical aspects of the prisoner’s dilemma. Zbl 0673.90104Nowak, Martin; Sigmund, Karl 16 1989 Fixation probabilities for advantageous mutants: A note on multiplication and sampling. Zbl 0669.92008Schuster, Peter; Sigmund, Karl 1 1989 The theory of evolution and dynamical systems. Mathematical aspects of selection. Zbl 0678.92010Hofbauer, Josef; Sigmund, Karl 229 1988 Permanence and viability. Zbl 0659.93059Aubin, Jean-Pierre; Sigmund, Karl 2 1988 Permanence for replicator equations. Zbl 0638.92012Hofbauer, J.; Sigmund, K. 21 1987 Game dynamics, mixed strategies, and gradient systems. Zbl 0618.92013Sigmund, Karl 15 1987 A maximum principle for frequency dependent selection. Zbl 0617.92013Sigmund, Karl 6 1987 Gradients for the evolution of bimatrix games. Zbl 0642.92010Koth, Maria; Sigmund, Karl 3 1987 Permanence and heteroclinic cycles for ecological equations. Zbl 0665.92018Sigmund, Karl 1 1987 A survey of replicator equations. Zbl 0606.92001Sigmund, Karl 5 1986 Polynucleotide evolution and branching processes. Zbl 0576.92020Demetrius, Lloyd; Schuster, Peter; Sigmund, Karl 21 1985 The maximum principle for replicator equations. Zbl 0576.92023Sigmund, Karl 3 1985 Dynamics of macrosystems. Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, September 3-7, 1984. Zbl 0572.00024 1 1985 Permanence and uninvadability for deterministic population models. Zbl 0538.92018Sigmund, K.; Schuster, P. 13 1984 Evolutionstheorie und dynamische Systeme. Mathematische Aspekte der Selektion. Zbl 0578.92015Hofbauer, Josef; Sigmund, Karl 13 1984 Random selection. A simple model based on linear birth and death processes. Zbl 0525.92013Schuster, P.; Sigmund, K. 2 1984 Random selection and the neutral theory. Sources of stochasticity in replication. Zbl 0541.60092Schuster, P.; Sigmund, K. 1 1984 Game dynamics in Mendelian populations. Zbl 0473.92015Hofbauer, Josef; Schuster, Peter; Sigmund, Karl 12 1982 Selfregulation of behaviour in animal societies. I. Symmetric contests. Zbl 0465.92016Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert 23 1981 Selfregulation of behaviour in animal societies. II. Games between two populations without selfinteraction. Zbl 0465.92017Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert 23 1981 Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction. Zbl 0465.92018Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Gottlieb, Ramon; Merz, Philip 15 1981 Competition and cooperation in catalytic selfreplication. Zbl 0448.92011Hofbauer, J.; Schuster, P.; Sigmund, K. 14 1981 Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023Schuster, Peter; Sigmund, Karl; Wolff, Robert 16 1980 Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R. 16 1980 A mathematical model of the hypercycle. Zbl 0437.92015Schuster, P.; Sigmund, K. 3 1980 Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles. Zbl 0384.34029Schuster, P.; Sigmund, K.; Wolff, R. 40 1979 On \(\omega\)-limits for competition between three species. Zbl 0418.92016Schuster, P.; Sigmund, K.; Wolff, R. 40 1979 Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles. Zbl 0384.34028Schuster, P.; Sigmund, K.; Wolff, R. 23 1978 Affine transformations on the space of probability measures. Zbl 0385.28010Sigmund, Karl 2 1978 On minimal centers of attraction and generic points. Zbl 0354.54025Sigmund, Karl 11 1977 On the connectedness of ergodic systems. Zbl 0365.28014Sigmund, Karl 8 1977 Ergodic theory on compact spaces. Zbl 0328.28008Denker, Manfred; Grillenberger, Christian; Sigmund, Karl 370 1976 On the distribution of periodic points for \(\beta\)-shifts. Zbl 0333.58008Sigmund, Karl 7 1976 Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042Bauer, Walter; Sigmund, Karl 65 1975 Normal and quasiregular points for automorphisms of the torus. Zbl 0297.28020Sigmund, Karl 3 1975 On dynamical systems with the specification property. Zbl 0286.28010Sigmund, Karl 79 1974 On the time evolution of statistical states for Anosov systems. Zbl 0283.58012Sigmund, Karl 3 1974 On mixing measures for axiom A diffeomorphisms. Zbl 0225.28013Sigmund, Karl 10 1973 On the space of invariant measures for hyperbolic flows. Zbl 0242.28014Sigmund, Karl 21 1972 Ergodic averages for Axiom A diffeomorphisms. Zbl 0214.15901Sigmund, K. 4 1971 On the prevalence of zero entropy. Zbl 0225.28012Sigmund, Karl 4 1971 Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502Sigmund, Karl 70 1970 all cited Publications top 5 cited Publications all top 5 Cited by 3,011 Authors 49 Nowak, Martin Andreas 36 Hofbauer, Josef 36 Sigmund, Karl 32 Cressman, Ross 31 Wang, Yuanshi 30 Traulsen, Arne 24 Oprocha, Piotr 22 Chen, Xiaojie 20 Ohtsuki, Hisashi 20 Wang, Long 17 Hauert, Christoph 17 Křivan, Vlastimil 17 Schuster, Peter 17 Wu, Hong 16 Schreiber, Sebastian J. 15 Broom, Mark 15 Perc, Matjaž 15 Tian, Xueting 14 Szolnoki, Attila 13 Kurokawa, Shun 13 Rand, David G. 13 Stadler, Peter F. 13 Takeuchi, Yasuhiro 12 Allen, Benjamin L. 12 Bomze, Immanuel M. 12 Lessard, Sabin 11 Ahmed, Elsayed 11 Hofbauer, Franz 11 Wang, Xianjia 11 Wang, Zhen 10 Ashwin, Peter 10 Boyle, Mike 10 Fu, Feng 10 Garay, József 10 Lu, Zhengyi 10 Pacheco, Jorge M. 10 Santos, Francisco C. 10 Sun, Wenxiang 10 Tao, Yi 10 van Veelen, Matthijs 10 Wu, Bin 10 Xia, Chengyi 10 Zhang, Boyu 9 Bratus, Alexander S. 9 Denker, Manfred 9 Gokhale, Chaitanya S. 9 He, Mingfeng 9 Jiang, Jifa 9 McAvoy, Alex 9 Mertikopoulos, Panayotis 9 Mukhamedov, Farruh Maksutovich 9 Pan, Qiuhui 9 Shi, Lei 9 Smith, Hal Leslie 9 Varandas, Paulo 9 Wang, Zhen 9 Ye, Xiangdong 8 Argasinski, Krzysztof 8 Bellomo, Nicola 8 Dieckmann, Ulf 8 Gyllenberg, Mats 8 Lind, Douglas A. 8 Liu, Linjie 8 Park, Junpyo 8 Radi, Davide 8 Rychtár, Jan 8 Sasaki, Tatsuya 8 Shaiju, A. J. 8 Shen, Chen 8 Souza, Max O. 7 Alsedà, Lluís 7 Auger, Pierre M. 7 Benaïm, Michel 7 Berger, Ulrich 7 Bischi, Gian-Italo 7 Chalub, Fabio A. C. C. 7 Das, Ruchi 7 Dercole, Fabio 7 Freedman, Herbert Irving 7 Hilbe, Christian 7 Huttegger, Simon M. 7 Imhof, Lorens A. 7 Karev, Georgiĭ Petrovich 7 Li, Mingchu 7 Liu, Chao 7 Masuda, Naoki 7 Mobilia, Mauro 7 Płatkowski, Tadeusz 7 Spirakis, Paul G. 7 Tanimoto, Jun 7 Tarniţǎ, Corina E. 7 Yamamoto, Kenichiro 6 Baake, Michael 6 Baigent, Stephen A. 6 Bauch, Chris T. 6 Blanchard, François 6 Bürger, Reinhard 6 Castro, Sofia B. S. D. 6 Champagnat, Nicolas 6 Chu, Chen ...and 2,911 more Authors all top 5 Cited in 326 Serials 281 Journal of Theoretical Biology 142 Journal of Mathematical Biology 100 Applied Mathematics and Computation 83 Chaos, Solitons and Fractals 79 Theoretical Population Biology 69 Bulletin of Mathematical Biology 66 Dynamic Games and Applications 61 Mathematical Biosciences 59 Ergodic Theory and Dynamical Systems 48 Games 45 Physica A 43 Journal of Mathematical Analysis and Applications 39 Transactions of the American Mathematical Society 37 Journal of Differential Equations 36 Monatshefte für Mathematik 35 Games and Economic Behavior 28 Israel Journal of Mathematics 27 Proceedings of the American Mathematical Society 27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Chaos 26 Physica D 22 Journal of Difference Equations and Applications 20 Journal of Statistical Physics 20 Physics Letters. A 19 Discrete and Continuous Dynamical Systems 18 International Journal of Game Theory 18 Nonlinear Analysis. Real World Applications 17 Dynamical Systems 16 Journal of Economic Theory 16 Topology and its Applications 16 Journal of Dynamics and Games 13 Theoretical Computer Science 13 International Journal of Modern Physics C 13 Discrete and Continuous Dynamical Systems. Series B 13 Journal of Biological Dynamics 12 Inventiones Mathematicae 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 The Annals of Applied Probability 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Proceedings of the National Academy of Sciences of the United States of America 11 Journal of Dynamics and Differential Equations 11 International Game Theory Review 11 Stochastics and Dynamics 10 Nonlinearity 10 Communications in Nonlinear Science and Numerical Simulation 10 Advances in Complex Systems 9 Computers & Mathematics with Applications 9 Communications in Mathematical Physics 9 Advances in Mathematics 9 Mathematische Zeitschrift 9 Journal of Economic Dynamics & Control 8 Acta Applicandae Mathematicae 8 Linear Algebra and its Applications 8 Stochastic Processes and their Applications 8 Journal of Nonlinear Science 8 Qualitative Theory of Dynamical Systems 8 SIAM Journal on Applied Dynamical Systems 8 Mathematical Biosciences and Engineering 8 The European Physical Journal B. Condensed Matter and Complex Systems 8 Mathematical Modelling of Natural Phenomena 7 Automatica 7 Journal of Computational and Applied Mathematics 7 The Journal of Mathematical Sociology 7 Theory and Decision 7 Complexity 7 Nonlinear Dynamics 7 Advances in Difference Equations 6 Biological Cybernetics 6 Physics Reports 6 The Mathematical Intelligencer 6 Systems & Control Letters 6 Annals of Operations Research 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Mathematical Analysis 6 Acta Mathematica Sinica. English Series 6 Nonlinear Analysis. Theory, Methods & Applications 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Applicable Analysis 5 Journal of the Franklin Institute 5 Mathematical Methods in the Applied Sciences 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of Applied Probability 5 Journal of Computer and System Sciences 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Mathematical Social Sciences 5 Mathematical and Computer Modelling 5 Japan Journal of Industrial and Applied Mathematics 5 European Journal of Operational Research 5 Abstract and Applied Analysis 5 New Journal of Physics 5 International Journal of Biomathematics 4 Rocky Mountain Journal of Mathematics 4 Bulletin de la Société Mathématique de France 4 Mathematics of Operations Research 4 Forum Mathematicum 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Economic Theory 4 Differential Equations and Dynamical Systems 4 Discrete Dynamics in Nature and Society 4 Journal of Dynamical and Control Systems ...and 226 more Serials all top 5 Cited in 55 Fields 1,092 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 987 Biology and other natural sciences (92-XX) 704 Dynamical systems and ergodic theory (37-XX) 325 Ordinary differential equations (34-XX) 176 Probability theory and stochastic processes (60-XX) 147 General topology (54-XX) 139 Measure and integration (28-XX) 85 Partial differential equations (35-XX) 76 Computer science (68-XX) 69 Systems theory; control (93-XX) 54 Operations research, mathematical programming (90-XX) 53 Statistical mechanics, structure of matter (82-XX) 39 Combinatorics (05-XX) 34 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 30 Operator theory (47-XX) 29 Number theory (11-XX) 27 Information and communication theory, circuits (94-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 Difference and functional equations (39-XX) 19 Statistics (62-XX) 15 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 13 Topological groups, Lie groups (22-XX) 13 Functional analysis (46-XX) 13 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 General and overarching topics; collections (00-XX) 10 Integral equations (45-XX) 10 Mechanics of particles and systems (70-XX) 10 Quantum theory (81-XX) 9 Real functions (26-XX) 9 Functions of a complex variable (30-XX) 9 Manifolds and cell complexes (57-XX) 8 Convex and discrete geometry (52-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Group theory and generalizations (20-XX) 5 Fluid mechanics (76-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Algebraic geometry (14-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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