Edit Profile (opens in new tab) Sigmund, Karl Co-Author Distance 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 1,525 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 80 Publications have been cited 3,616 times in 2,673 Documents Cited by ▼ Year ▼ Evolutionary games and population dynamics. Zbl 0914.90287Hofbauer, Josef; Sigmund, Karl 1,219 1998 Ergodic theory on compact spaces. Zbl 0328.28008Denker, Manfred; Grillenberger, Christian; Sigmund, Karl 397 1976 Evolutionary game dynamics. Zbl 1049.91025Hofbauer, Josef; Sigmund, Karl 251 2003 The theory of evolution and dynamical systems. Mathematical aspects of selection. Zbl 0678.92010Hofbauer, Josef; Sigmund, Karl 247 1988 The calculus of selfishness. Zbl 1189.91010Sigmund, Karl 162 2010 Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl 121 2007 On dynamical systems with the specification property. Zbl 0286.28010Sigmund, Karl 91 1974 Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502Sigmund, Karl 78 1970 Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042Bauer, Walter; Sigmund, Karl 72 1975 Adaptive dynamics and evolutionary stability. Zbl 0709.92015Hofbauer, J.; Sigmund, K. 68 1990 The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092Nowak, Martin; Sigmund, Karl 57 1990 Exploration dynamics in evolutionary games. Zbl 1202.91029Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl 48 2009 Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl 42 2013 Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles. Zbl 0384.34029Schuster, P.; Sigmund, K.; Wolff, R. 41 1979 On \(\omega\)-limits for competition between three species. Zbl 0418.92016Schuster, P.; Sigmund, K.; Wolff, R. 40 1979 The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Zbl 1355.91045Sasaki, Tatsuya; Brännström, Åke; Dieckmann, Ulf; Sigmund, Karl 27 2012 The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022Brandt, Hannelore; Sigmund, Karl 26 2006 On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024Hofbauer, J.; Sigmund, K. 26 1989 Automata, repeated games and noise. Zbl 0837.90140Nowak, Martin A.; Sigmund, Karl; El-Sedy, Esam 25 1995 The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182Brandt, Hannelore; Sigmund, Karl 24 2004 Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050 24 2002 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 Permanence for replicator equations. Zbl 0638.92012Hofbauer, J.; Sigmund, K. 22 1987 On the space of invariant measures for hyperbolic flows. Zbl 0242.28014Sigmund, Karl 22 1972 Polynucleotide evolution and branching processes. Zbl 0576.92020Demetrius, Lloyd; Schuster, Peter; Sigmund, Karl 21 1985 Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029Hilbe, Christian; Traulsen, Arne; Sigmund, Karl 20 2015 Shaken not stirred: On permanence in ecological communities. Zbl 0963.92505Jansen, Vincent A. A.; Sigmund, Karl 20 1998 The competition of assessment rules for indirect reciprocity. Zbl 1406.91055Uchida, Satoshi; Sigmund, Karl 20 2010 Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R. 17 1980 Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023Schuster, Peter; Sigmund, Karl; Wolff, Robert 16 1980 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 16 1981 Game-dynamical aspects of the prisoner’s dilemma. Zbl 0673.90104Nowak, Martin; Sigmund, Karl 16 1989 Game dynamics, mixed strategies, and gradient systems. Zbl 0618.92013Sigmund, Karl 15 1987 Permanence and uninvadability for deterministic population models. Zbl 0538.92018Sigmund, K.; Schuster, P. 14 1984 On the dynamics of asymmetric games. Zbl 0732.92031Gaunersdorfer, Andrea; Hofbauer, Josef; Sigmund, Karl 14 1991 Competition and cooperation in catalytic selfreplication. Zbl 0448.92011Hofbauer, J.; Schuster, P.; Sigmund, K. 14 1981 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 13 1982 On minimal centers of attraction and generic points. Zbl 0354.54025Sigmund, Karl 13 1977 Games of corruption: how to suppress illegal logging. Zbl 1412.91008Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh 12 2015 On mixing measures for axiom A diffeomorphisms. Zbl 0225.28013Sigmund, Karl 11 1973 Time averages for unpredictable orbits of deterministic systems. Zbl 0778.58050Sigmund, Karl 11 1992 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 The calculus of selfishness. Reprint of the 2010 hardback edition. Zbl 1338.91008Sigmund, Karl 10 2016 The dynamics of public goods. Zbl 1154.91398Hauert, Christoph; Haiden, Nina; Sigmund, Karl 10 2004 On the connectedness of ergodic systems. Zbl 0365.28014Sigmund, Karl 9 1977 Kolmogorov and population dynamics. Zbl 1222.01036Sigmund, Karl 8 2007 On the distribution of periodic points for \(\beta\)-shifts. Zbl 0333.58008Sigmund, Karl 8 1976 Equal pay for all prisoners. Zbl 1044.91500Boerlijst, Maarten C.; Nowak, Martin A.; Sigmund, Karl 8 1997 A survey of replicator equations. Zbl 0606.92001Sigmund, Karl 7 1986 The population dynamics of conflict and cooperation. Zbl 0907.92027Sigmund, Karl 6 1998 A maximum principle for frequency dependent selection. Zbl 0617.92013Sigmund, Karl 6 1987 On the prevalence of zero entropy. Zbl 0225.28012Sigmund, Karl 6 1971 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 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 Introduction to evolutionary game theory. Zbl 1241.91021Sigmund, Karl 3 2011 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 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 Pictures at an exhibition. Zbl 1104.01318Sigmund, Karl 1 2006 “A cool farewell to Europe” – Vienna 1938 and the exodus of mathematics. Exhibition catalogue. (“Kühler Abschied von Europa” – Wien 1938 und der Exodus der Mathematik. Ausstellungskatalog, Arkadenhof der Universität Wien, 17. September–20. Oktober 2001.) Zbl 0999.01024 1 2001 Kepler in Eferding. Zbl 1055.01522Sigmund, Karl 1 2001 Random selection and the neutral theory. Sources of stochasticity in replication. Zbl 0541.60092Schuster, P.; Sigmund, K. 1 1984 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 Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018Binder, Christa; Hlawka, Edmund; Sigmund, Karl 1 2006 Failing Phoenix: Tauber, Helly, and Viennese life insurance. Zbl 1056.01008Sigmund, Karl 1 2004 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 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 10 2016 Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029Hilbe, Christian; Traulsen, Arne; Sigmund, Karl 20 2015 Games of corruption: how to suppress illegal logging. Zbl 1412.91008Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh 12 2015 Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl 42 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 27 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 3 2011 The calculus of selfishness. Zbl 1189.91010Sigmund, Karl 162 2010 The competition of assessment rules for indirect reciprocity. Zbl 1406.91055Uchida, Satoshi; Sigmund, Karl 20 2010 Exploration dynamics in evolutionary games. Zbl 1202.91029Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl 48 2009 Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl 121 2007 Kolmogorov and population dynamics. Zbl 1222.01036Sigmund, Karl 8 2007 The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022Brandt, Hannelore; Sigmund, Karl 26 2006 Pictures at an exhibition. Zbl 1104.01318Sigmund, Karl 1 2006 Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018Binder, Christa; Hlawka, Edmund; Sigmund, Karl 1 2006 Leray in Edelbach. Zbl 1189.01064Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl 2 2005 The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182Brandt, Hannelore; Sigmund, Karl 24 2004 The dynamics of public goods. Zbl 1154.91398Hauert, Christoph; Haiden, Nina; Sigmund, Karl 10 2004 Failing Phoenix: Tauber, Helly, and Viennese life insurance. Zbl 1056.01008Sigmund, Karl 1 2004 Evolutionary game dynamics. Zbl 1049.91025Hofbauer, Josef; Sigmund, Karl 251 2003 Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050 24 2002 “A cool farewell to Europe” – Vienna 1938 and the exodus of mathematics. Exhibition catalogue. (“Kühler Abschied von Europa” – Wien 1938 und der Exodus der Mathematik. Ausstellungskatalog, Arkadenhof der Universität Wien, 17. September–20. Oktober 2001.) Zbl 0999.01024 1 2001 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 1,219 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 25 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 11 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. 68 1990 The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092Nowak, Martin; Sigmund, Karl 57 1990 On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024Hofbauer, J.; Sigmund, K. 26 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 247 1988 Permanence and viability. Zbl 0659.93059Aubin, Jean-Pierre; Sigmund, Karl 2 1988 Permanence for replicator equations. Zbl 0638.92012Hofbauer, J.; Sigmund, K. 22 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 7 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. 14 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 13 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 16 1981 Competition and cooperation in catalytic selfreplication. Zbl 0448.92011Hofbauer, J.; Schuster, P.; Sigmund, K. 14 1981 Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R. 17 1980 Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023Schuster, Peter; Sigmund, Karl; Wolff, Robert 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. 41 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 13 1977 On the connectedness of ergodic systems. Zbl 0365.28014Sigmund, Karl 9 1977 Ergodic theory on compact spaces. Zbl 0328.28008Denker, Manfred; Grillenberger, Christian; Sigmund, Karl 397 1976 On the distribution of periodic points for \(\beta\)-shifts. Zbl 0333.58008Sigmund, Karl 8 1976 Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042Bauer, Walter; Sigmund, Karl 72 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 91 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 11 1973 On the space of invariant measures for hyperbolic flows. Zbl 0242.28014Sigmund, Karl 22 1972 On the prevalence of zero entropy. Zbl 0225.28012Sigmund, Karl 6 1971 Ergodic averages for Axiom A diffeomorphisms. Zbl 0214.15901Sigmund, K. 4 1971 Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502Sigmund, Karl 78 1970 all cited Publications top 5 cited Publications all top 5 Cited by 3,321 Authors 49 Nowak, Martin Andreas 39 Hofbauer, Josef 37 Sigmund, Karl 35 Wang, Yuanshi 34 Cressman, Ross 30 Traulsen, Arne 24 Oprocha, Piotr 22 Chen, Xiaojie 22 Wang, Long 20 Ohtsuki, Hisashi 18 Křivan, Vlastimil 18 Perc, Matjaž 17 Hauert, Christoph 17 Schuster, Peter 17 Tian, Xueting 17 Wang, Xianjia 17 Wu, Hong 16 Broom, Mark 16 Schreiber, Sebastian J. 15 Kurokawa, Shun 15 Szolnoki, Attila 14 Lessard, Sabin 13 He, Mingfeng 13 Pan, Qiuhui 13 Rand, David G. 13 Stadler, Peter F. 13 Takeuchi, Yasuhiro 12 Ahmed, Elsayed 12 Allen, Benjamin L. 12 Bomze, Immanuel M. 12 Tao, Yi 12 Wu, Bin 11 Hofbauer, Franz 11 Masuda, Naoki 11 Pacheco, Jorge M. 11 Varandas, Paulo 11 Wang, Zhen 11 Xia, Chengyi 11 Zhang, Boyu 10 Ashwin, Peter 10 Boyle, Mike 10 Bratus, Alexander S. 10 Fu, Feng 10 Garay, József 10 Gelfert, Katrin Grit 10 Gokhale, Chaitanya S. 10 Lu, Zhengyi 10 Mertikopoulos, Panayotis 10 Quan, Ji 10 Santos, Francisco C. 10 Sun, Wenxiang 10 van Veelen, Matthijs 10 Ye, Xiangdong 9 Buzzi, Jérôme 9 Denker, Manfred 9 Jiang, Jifa 9 McAvoy, Alex 9 Mukhamedov, Farruh Maksutovich 9 Park, Junpyo 9 Shaiju, A. J. 9 Shi, Lei 9 Smith, Hal Leslie 9 Souza, Max O. 9 Wang, Zhen 8 Argasinski, Krzysztof 8 Bellomo, Nicola 8 Das, Ruchi 8 Díaz, Lorenzo Justiniano 8 Dieckmann, Ulf 8 Gyllenberg, Mats 8 Lind, Douglas A. 8 Liu, Chao 8 Liu, Linjie 8 Płatkowski, Tadeusz 8 Radi, Davide 8 Rychtár, Jan 8 Sasaki, Tatsuya 8 Shen, Chen 8 Spirakis, Paul G. 8 Tanimoto, Jun 8 Yamamoto, Kenichiro 7 Alsedà, Lluís 7 Auger, Pierre M. 7 Benaïm, Michel 7 Berger, Ulrich 7 Bischi, Gian-Italo 7 Chalub, Fabio A. C. C. 7 Dercole, Fabio 7 Freedman, Herbert Irving 7 Griffin, Christopher 7 Hilbe, Christian 7 Huang, Wen 7 Huttegger, Simon M. 7 Imhof, Lorens A. 7 Karev, Georgiĭ Petrovich 7 Kwietniak, Dominik 7 Li, Cong 7 Li, Mingchu 7 Liu, Xuesong 7 Mobilia, Mauro ...and 3,221 more Authors all top 5 Cited in 347 Serials 300 Journal of Theoretical Biology 150 Journal of Mathematical Biology 124 Applied Mathematics and Computation 94 Chaos, Solitons and Fractals 84 Theoretical Population Biology 72 Dynamic Games and Applications 70 Bulletin of Mathematical Biology 65 Physica A 63 Mathematical Biosciences 63 Ergodic Theory and Dynamical Systems 49 Games 45 Journal of Mathematical Analysis and Applications 39 Transactions of the American Mathematical Society 38 Journal of Differential Equations 36 Monatshefte für Mathematik 36 Games and Economic Behavior 30 Israel Journal of Mathematics 28 Chaos 27 Proceedings of the American Mathematical Society 27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Physica D 22 Journal of Statistical Physics 22 Journal of Difference Equations and Applications 21 Physics Letters. A 21 Discrete and Continuous Dynamical Systems 20 Dynamical Systems 19 International Journal of Game Theory 19 Journal of Dynamics and Games 18 Topology and its Applications 18 Nonlinear Analysis. Real World Applications 17 Journal of Economic Theory 15 Discrete and Continuous Dynamical Systems. Series B 14 Theoretical Computer Science 14 The Annals of Applied Probability 14 Communications in Nonlinear Science and Numerical Simulation 13 Nonlinearity 13 Inventiones Mathematicae 13 International Journal of Modern Physics C 13 Journal of Biological Dynamics 13 The European Physical Journal B. Condensed Matter and Complex Systems 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Stochastic Processes and their Applications 12 Journal of Dynamics and Differential Equations 11 Proceedings of the National Academy of Sciences of the United States of America 11 International Game Theory Review 11 Stochastics and Dynamics 10 Advances in Mathematics 10 Mathematische Zeitschrift 10 Advances in Complex Systems 9 Computers & Mathematics with Applications 9 Communications in Mathematical Physics 9 Journal of Economic Dynamics & Control 9 Journal of Nonlinear Science 9 Qualitative Theory of Dynamical Systems 9 Mathematical Biosciences and Engineering 8 Automatica 8 The Journal of Mathematical Sociology 8 Theory and Decision 8 Acta Applicandae Mathematicae 8 Linear Algebra and its Applications 8 SIAM Journal on Applied Dynamical Systems 8 Mathematical Modelling of Natural Phenomena 7 The Mathematical Intelligencer 7 Journal of Computational and Applied Mathematics 7 Annals of Operations Research 7 Complexity 7 Nonlinear Dynamics 7 Advances in Difference Equations 6 Biological Cybernetics 6 Physics Reports 6 Journal of Computer and System Sciences 6 Systems & Control Letters 6 European Journal of Operational Research 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Mathematical Analysis 6 Acta Mathematica Sinica. English Series 6 International Journal of Biomathematics 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 d’Analyse Mathématique 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 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Mathematical Social Sciences 5 Mathematical and Computer Modelling 5 Japan Journal of Industrial and Applied Mathematics 5 Applied Mathematical Modelling 5 Abstract and Applied Analysis 5 New Journal of Physics 5 Journal of Dynamical and Control Systems 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Statistical Mechanics: Theory and Experiment 5 Journal of Physics A: Mathematical and Theoretical 4 Rocky Mountain Journal of Mathematics 4 Bulletin de la Société Mathématique de France 4 Journal of Functional Analysis ...and 247 more Serials all top 5 Cited in 56 Fields 1,221 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,072 Biology and other natural sciences (92-XX) 768 Dynamical systems and ergodic theory (37-XX) 352 Ordinary differential equations (34-XX) 198 Probability theory and stochastic processes (60-XX) 158 General topology (54-XX) 144 Measure and integration (28-XX) 94 Partial differential equations (35-XX) 78 Computer science (68-XX) 78 Systems theory; control (93-XX) 62 Statistical mechanics, structure of matter (82-XX) 51 Operations research, mathematical programming (90-XX) 48 Combinatorics (05-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 35 Operator theory (47-XX) 34 Numerical analysis (65-XX) 29 Number theory (11-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Information and communication theory, circuits (94-XX) 25 Difference and functional equations (39-XX) 23 Statistics (62-XX) 17 History and biography (01-XX) 16 Functional analysis (46-XX) 15 Mathematical logic and foundations (03-XX) 13 Topological groups, Lie groups (22-XX) 13 Mechanics of particles and systems (70-XX) 12 Real functions (26-XX) 12 Integral equations (45-XX) 12 Differential geometry (53-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 10 Manifolds and cell complexes (57-XX) 9 Functions of a complex variable (30-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 General and overarching topics; collections (00-XX) 8 Convex and discrete geometry (52-XX) 6 Group theory and generalizations (20-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Fluid mechanics (76-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Geophysics (86-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Optics, electromagnetic theory (78-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-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. Updates and corrections should be made in Wikidata.