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## Sigmund, Karl

Compute Distance To:
 Author ID: sigmund.karl Published as: Sigmund, Karl; Sigmund, K. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 119 Publications since 1969, including 18 Books
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#### Co-Authors

 53 single-authored 15 Schuster, Peter 14 Hofbauer, Josef 10 Nowak, Martin Andreas 7 Wolff, Robert 4 Hauert, Christoph 4 Traulsen, Arne 3 Brandt, Hannelore 3 Dawson, John W. jun. 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 Sigmund, Anna Maria 1 Bauer, Walter 1 Binder, Christa 1 Brännström, Åke 1 Čap, Andreas 1 Demetrius, Lloyd A. 1 Denker, Manfred 1 Diekmann, Odo 1 El-Sedy, Esam. A. S. 1 Feichtinger, Hans Georg 1 Gaunersdorfer, Andrea 1 Golland, Louise Ahrndt 1 Gottlieb, Ramon 1 Grillenberger, Christian 1 Haiden, Nina 1 Hauser, Herwig 1 Helmberg, Gilbert 1 Hlawka, Edmund 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 Saari, Donald Gene 1 Sabelis, Maurice W. 1 Sasaki, Tatsuya 1 Schachermayer, Walter 1 Schuder, P. 1 Shigesada, Nanako 1 Takeuchi, Yasuhiro 1 Teichmann, Josef 1 Teschl, Gerald 1 Uchida, Satoshi
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#### 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
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#### Fields

 42 Biology and other natural sciences (92-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 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 Probability theory and stochastic processes (60-XX) 6 General topology (54-XX) 3 Mathematical logic and foundations (03-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

77 Publications have been cited 3,051 times in 2,275 Documents Cited by Year
Evolutionary games and population dynamics. Zbl 0914.90287
Hofbauer, Josef; Sigmund, Karl
1998
Ergodic theory on compact spaces. Zbl 0328.28008
Denker, Manfred; Grillenberger, Christian; Sigmund, Karl
1976
The theory of evolution and dynamical systems. Mathematical aspects of selection. Zbl 0678.92010
Hofbauer, Josef; Sigmund, Karl
1988
Evolutionary game dynamics. Zbl 1049.91025
Hofbauer, Josef; Sigmund, Karl
2003
The calculus of selfishness. Zbl 1189.91010
Sigmund, Karl
2010
Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010
Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl
2007
On dynamical systems with the specification property. Zbl 0286.28010
Sigmund, Karl
1974
Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502
Sigmund, Karl
1970
Adaptive dynamics and evolutionary stability. Zbl 0709.92015
Hofbauer, J.; Sigmund, K.
1990
Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042
Bauer, Walter; Sigmund, Karl
1975
The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092
Nowak, Martin; Sigmund, Karl
1990
Exploration dynamics in evolutionary games. Zbl 1202.91029
Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl
2009
On $$\omega$$-limits for competition between three species. Zbl 0418.92016
Schuster, P.; Sigmund, K.; Wolff, R.
1979
Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles. Zbl 0384.34029
Schuster, P.; Sigmund, K.; Wolff, R.
1979
Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031
Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl
2013
On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024
Hofbauer, J.; Sigmund, K.
1989
Selfregulation of behaviour in animal societies. I. Symmetric contests. Zbl 0465.92016
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Automata, repeated games and noise. Zbl 0837.90140
Nowak, Martin A.; Sigmund, Karl; El-Sedy, Esam
1995
The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Zbl 1355.91045
Sasaki, Tatsuya; Brännström, Åke; Dieckmann, Ulf; Sigmund, Karl
2012
Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles. Zbl 0384.34028
Schuster, P.; Sigmund, K.; Wolff, R.
1978
Polynucleotide evolution and branching processes. Zbl 0576.92020
Demetrius, Lloyd; Schuster, Peter; Sigmund, Karl
1985
Selfregulation of behaviour in animal societies. II. Games between two populations without selfinteraction. Zbl 0465.92017
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Shaken not stirred: On permanence in ecological communities. Zbl 0963.92505
Jansen, Vincent A. A.; Sigmund, Karl
1998
On the space of invariant measures for hyperbolic flows. Zbl 0242.28014
Sigmund, Karl
1972
Permanence for replicator equations. Zbl 0638.92012
Hofbauer, J.; Sigmund, K.
1987
Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050
Dieckmann, Ulf (ed.); Metz, Johan A. J (ed.); Sabelis, Maurice W (ed.); Sigmund, Karl (ed.)
2002
Game-dynamical aspects of the prisoner’s dilemma. Zbl 0673.90104
Nowak, Martin; Sigmund, Karl
1989
The competition of assessment rules for indirect reciprocity. Zbl 1406.91055
Uchida, Satoshi; Sigmund, Karl
2010
Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023
Schuster, Peter; Sigmund, Karl; Wolff, Robert
1980
Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction. Zbl 0465.92018
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Gottlieb, Ramon; Merz, Philip
1981
Game dynamics, mixed strategies, and gradient systems. Zbl 0618.92013
Sigmund, Karl
1987
Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061
Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R.
1980
Competition and cooperation in catalytic selfreplication. Zbl 0448.92011
Hofbauer, J.; Schuster, P.; Sigmund, K.
1981
Permanence and uninvadability for deterministic population models. Zbl 0538.92018
Sigmund, K.; Schuster, P.
1984
Evolutionstheorie und dynamische Systeme. Mathematische Aspekte der Selektion. Zbl 0578.92015
Hofbauer, Josef; Sigmund, Karl
1984
Game dynamics in Mendelian populations. Zbl 0473.92015
Hofbauer, Josef; Schuster, Peter; Sigmund, Karl
1982
On the dynamics of asymmetric games. Zbl 0732.92031
Gaunersdorfer, Andrea; Hofbauer, Josef; Sigmund, Karl
1991
On minimal centers of attraction and generic points. Zbl 0354.54025
Sigmund, Karl
1977
Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029
Hilbe, Christian; Traulsen, Arne; Sigmund, Karl
2015
Social control and the social contract: the emergence of sanctioning systems for collective action. Zbl 1214.91011
Sigmund, Karl; Hauert, Christoph; Traulsen, Arne; De Silva, Hannelore
2011
The calculus of selfishness. Reprint of the 2010 hardback edition. Zbl 1338.91008
Sigmund, Karl
2016
On mixing measures for axiom A diffeomorphisms. Zbl 0225.28013
Sigmund, Karl
1973
Time averages for unpredictable orbits of deterministic systems. Zbl 0778.58050
Sigmund, Karl
1992
On the connectedness of ergodic systems. Zbl 0365.28014
Sigmund, Karl
1977
The dynamics of public goods. Zbl 1154.91398
Hauert, Christoph; Haiden, Nina; Sigmund, Karl
2004
Equal pay for all prisoners. Zbl 1044.91500
Boerlijst, Maarten C.; Nowak, Martin A.; Sigmund, Karl
1997
On the distribution of periodic points for $$\beta$$-shifts. Zbl 0333.58008
Sigmund, Karl
1976
The population dynamics of conflict and cooperation. Zbl 0907.92027
Sigmund, Karl
1998
A maximum principle for frequency dependent selection. Zbl 0617.92013
Sigmund, Karl
1987
Games of corruption: how to suppress illegal logging. Zbl 1412.91008
Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh
2015
A philosopher’s mathematician: Hans Hahn and the Vienna circle. Zbl 0841.01012
Sigmund, Karl
1995
A survey of replicator equations. Zbl 0606.92001
Sigmund, Karl
1986
Kolmogorov and population dynamics. Zbl 1222.01036
Sigmund, Karl
2007
Ergodic averages for Axiom A diffeomorphisms. Zbl 0214.15901
Sigmund, K.
1971
Exact thought in a demented time: Karl Menger and his Viennese Mathematical Colloquium. Zbl 1052.01522
Golland, Louise; Sigmund, Karl
2000
The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022
Brandt, Hannelore; Sigmund, Karl
2006
Invasion dynamics of the finitely repeated prisoner’s dilemma. Zbl 0840.90143
Nowak, Martin A.; Sigmund, Karl
1995
A mathematical model of the hypercycle. Zbl 0437.92015
Schuster, P.; Sigmund, K.
1980
On the time evolution of statistical states for Anosov systems. Zbl 0283.58012
Sigmund, Karl
1974
Normal and quasiregular points for automorphisms of the torus. Zbl 0297.28020
Sigmund, Karl
1975
The maximum principle for replicator equations. Zbl 0576.92023
Sigmund, Karl
1985
Gradients for the evolution of bimatrix games. Zbl 0642.92010
Koth, Maria; Sigmund, Karl
1987
The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182
Brandt, Hannelore; Sigmund, Karl
2004
Leray in Edelbach. Zbl 1189.01064
Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl
2005
Permanence and viability. Zbl 0659.93059
Aubin, Jean-Pierre; Sigmund, Karl
1988
Random selection. A simple model based on linear birth and death processes. Zbl 0525.92013
Schuster, P.; Sigmund, K.
1984
Introduction to evolutionary game theory. Zbl 1241.91021
Sigmund, Karl
2011
Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018
Binder, Christa; Hlawka, Edmund; Sigmund, Karl
2006
Pictures at an exhibition. Zbl 1104.01318
Sigmund, Karl
2006
Fixation probabilities for advantageous mutants: A note on multiplication and sampling. Zbl 0669.92008
Schuster, Peter; Sigmund, Karl
1989
Affine transformations on the space of probability measures. Zbl 0385.28010
Sigmund, Karl
1978
On the prevalence of zero entropy. Zbl 0225.28012
Sigmund, Karl
1971
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
Aubin, J.-P. (ed.); Saari, D. (ed.); Sigmund, K. (ed.)
1985
Permanence and heteroclinic cycles for ecological equations. Zbl 0665.92018
Sigmund, Karl
1987
Random selection and the neutral theory. Sources of stochasticity in replication. Zbl 0541.60092
Schuster, P.; Sigmund, K.
1984
Kepler in Eferding. Zbl 1055.01522
Sigmund, Karl
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 1404.03003
Sigmund, Karl
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 1404.03003
Sigmund, Karl
2017
The calculus of selfishness. Reprint of the 2010 hardback edition. Zbl 1338.91008
Sigmund, Karl
2016
Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029
Hilbe, Christian; Traulsen, Arne; Sigmund, Karl
2015
Games of corruption: how to suppress illegal logging. Zbl 1412.91008
Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh
2015
Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031
Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl
2013
The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Zbl 1355.91045
Sasaki, Tatsuya; Brännström, Åke; Dieckmann, Ulf; Sigmund, Karl
2012
Social control and the social contract: the emergence of sanctioning systems for collective action. Zbl 1214.91011
Sigmund, Karl; Hauert, Christoph; Traulsen, Arne; De Silva, Hannelore
2011
Introduction to evolutionary game theory. Zbl 1241.91021
Sigmund, Karl
2011
The calculus of selfishness. Zbl 1189.91010
Sigmund, Karl
2010
The competition of assessment rules for indirect reciprocity. Zbl 1406.91055
Uchida, Satoshi; Sigmund, Karl
2010
Exploration dynamics in evolutionary games. Zbl 1202.91029
Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl
2009
Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010
Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl
2007
Kolmogorov and population dynamics. Zbl 1222.01036
Sigmund, Karl
2007
The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022
Brandt, Hannelore; Sigmund, Karl
2006
Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018
Binder, Christa; Hlawka, Edmund; Sigmund, Karl
2006
Pictures at an exhibition. Zbl 1104.01318
Sigmund, Karl
2006
Leray in Edelbach. Zbl 1189.01064
Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl
2005
The dynamics of public goods. Zbl 1154.91398
Hauert, Christoph; Haiden, Nina; Sigmund, Karl
2004
The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182
Brandt, Hannelore; Sigmund, Karl
2004
Evolutionary game dynamics. Zbl 1049.91025
Hofbauer, Josef; Sigmund, Karl
2003
Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050
Dieckmann, Ulf; Metz, Johan A. J; Sabelis, Maurice W; Sigmund, Karl
2002
Kepler in Eferding. Zbl 1055.01522
Sigmund, Karl
2001
Exact thought in a demented time: Karl Menger and his Viennese Mathematical Colloquium. Zbl 1052.01522
Golland, Louise; Sigmund, Karl
2000
Evolutionary games and population dynamics. Zbl 0914.90287
Hofbauer, Josef; Sigmund, Karl
1998
Shaken not stirred: On permanence in ecological communities. Zbl 0963.92505
Jansen, Vincent A. A.; Sigmund, Karl
1998
The population dynamics of conflict and cooperation. Zbl 0907.92027
Sigmund, Karl
1998
Equal pay for all prisoners. Zbl 1044.91500
Boerlijst, Maarten C.; Nowak, Martin A.; Sigmund, Karl
1997
Automata, repeated games and noise. Zbl 0837.90140
Nowak, Martin A.; Sigmund, Karl; El-Sedy, Esam
1995
A philosopher’s mathematician: Hans Hahn and the Vienna circle. Zbl 0841.01012
Sigmund, Karl
1995
Invasion dynamics of the finitely repeated prisoner’s dilemma. Zbl 0840.90143
Nowak, Martin A.; Sigmund, Karl
1995
Time averages for unpredictable orbits of deterministic systems. Zbl 0778.58050
Sigmund, Karl
1992
On the dynamics of asymmetric games. Zbl 0732.92031
Gaunersdorfer, Andrea; Hofbauer, Josef; Sigmund, Karl
1991
Adaptive dynamics and evolutionary stability. Zbl 0709.92015
Hofbauer, J.; Sigmund, K.
1990
The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092
Nowak, Martin; Sigmund, Karl
1990
On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024
Hofbauer, J.; Sigmund, K.
1989
Game-dynamical aspects of the prisoner’s dilemma. Zbl 0673.90104
Nowak, Martin; Sigmund, Karl
1989
Fixation probabilities for advantageous mutants: A note on multiplication and sampling. Zbl 0669.92008
Schuster, Peter; Sigmund, Karl
1989
The theory of evolution and dynamical systems. Mathematical aspects of selection. Zbl 0678.92010
Hofbauer, Josef; Sigmund, Karl
1988
Permanence and viability. Zbl 0659.93059
Aubin, Jean-Pierre; Sigmund, Karl
1988
Permanence for replicator equations. Zbl 0638.92012
Hofbauer, J.; Sigmund, K.
1987
Game dynamics, mixed strategies, and gradient systems. Zbl 0618.92013
Sigmund, Karl
1987
A maximum principle for frequency dependent selection. Zbl 0617.92013
Sigmund, Karl
1987
Gradients for the evolution of bimatrix games. Zbl 0642.92010
Koth, Maria; Sigmund, Karl
1987
Permanence and heteroclinic cycles for ecological equations. Zbl 0665.92018
Sigmund, Karl
1987
A survey of replicator equations. Zbl 0606.92001
Sigmund, Karl
1986
Polynucleotide evolution and branching processes. Zbl 0576.92020
Demetrius, Lloyd; Schuster, Peter; Sigmund, Karl
1985
The maximum principle for replicator equations. Zbl 0576.92023
Sigmund, Karl
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
Aubin, J.-P.; Saari, D.; Sigmund, K.
1985
Permanence and uninvadability for deterministic population models. Zbl 0538.92018
Sigmund, K.; Schuster, P.
1984
Evolutionstheorie und dynamische Systeme. Mathematische Aspekte der Selektion. Zbl 0578.92015
Hofbauer, Josef; Sigmund, Karl
1984
Random selection. A simple model based on linear birth and death processes. Zbl 0525.92013
Schuster, P.; Sigmund, K.
1984
Random selection and the neutral theory. Sources of stochasticity in replication. Zbl 0541.60092
Schuster, P.; Sigmund, K.
1984
Game dynamics in Mendelian populations. Zbl 0473.92015
Hofbauer, Josef; Schuster, Peter; Sigmund, Karl
1982
Selfregulation of behaviour in animal societies. I. Symmetric contests. Zbl 0465.92016
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Selfregulation of behaviour in animal societies. II. Games between two populations without selfinteraction. Zbl 0465.92017
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction. Zbl 0465.92018
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Gottlieb, Ramon; Merz, Philip
1981
Competition and cooperation in catalytic selfreplication. Zbl 0448.92011
Hofbauer, J.; Schuster, P.; Sigmund, K.
1981
Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023
Schuster, Peter; Sigmund, Karl; Wolff, Robert
1980
Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061
Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R.
1980
A mathematical model of the hypercycle. Zbl 0437.92015
Schuster, P.; Sigmund, K.
1980
On $$\omega$$-limits for competition between three species. Zbl 0418.92016
Schuster, P.; Sigmund, K.; Wolff, R.
1979
Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles. Zbl 0384.34029
Schuster, P.; Sigmund, K.; Wolff, R.
1979
Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles. Zbl 0384.34028
Schuster, P.; Sigmund, K.; Wolff, R.
1978
Affine transformations on the space of probability measures. Zbl 0385.28010
Sigmund, Karl
1978
On minimal centers of attraction and generic points. Zbl 0354.54025
Sigmund, Karl
1977
On the connectedness of ergodic systems. Zbl 0365.28014
Sigmund, Karl
1977
Ergodic theory on compact spaces. Zbl 0328.28008
Denker, Manfred; Grillenberger, Christian; Sigmund, Karl
1976
On the distribution of periodic points for $$\beta$$-shifts. Zbl 0333.58008
Sigmund, Karl
1976
Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042
Bauer, Walter; Sigmund, Karl
1975
Normal and quasiregular points for automorphisms of the torus. Zbl 0297.28020
Sigmund, Karl
1975
On dynamical systems with the specification property. Zbl 0286.28010
Sigmund, Karl
1974
On the time evolution of statistical states for Anosov systems. Zbl 0283.58012
Sigmund, Karl
1974
On mixing measures for axiom A diffeomorphisms. Zbl 0225.28013
Sigmund, Karl
1973
On the space of invariant measures for hyperbolic flows. Zbl 0242.28014
Sigmund, Karl
1972
Ergodic averages for Axiom A diffeomorphisms. Zbl 0214.15901
Sigmund, K.
1971
On the prevalence of zero entropy. Zbl 0225.28012
Sigmund, Karl
1971
Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502
Sigmund, Karl
1970
all top 5

#### Cited by 2,794 Authors

 49 Nowak, Martin Andreas 36 Hofbauer, Josef 36 Sigmund, Karl 32 Cressman, Ross 30 Traulsen, Arne 29 Wang, Yuanshi 24 Oprocha, Piotr 20 Ohtsuki, Hisashi 20 Wang, Long 17 Hauert, Christoph 17 Křivan, Vlastimil 17 Schuster, Peter 16 Chen, Xiaojie 16 Wu, Hong 15 Schreiber, Sebastian J. 14 Perc, Matjaž 14 Tian, Xueting 13 Broom, Mark 13 Kurokawa, Shun 13 Rand, David G. 13 Stadler, Peter F. 13 Takeuchi, Yasuhiro 12 Allen, Benjamin L. 12 Bomze, Immanuel M. 11 Ahmed, Elsayed 11 Hofbauer, Franz 11 Lessard, Sabin 11 Szolnoki, Attila 10 Ashwin, Peter 10 Boyle, Mike 10 Lu, Zhengyi 10 Pacheco, Jorge M. 10 Santos, Francisco C. 10 Sun, Wenxiang 10 Tao, Yi 10 van Veelen, Matthijs 10 Xia, Chengyi 10 Zhang, Boyu 9 Denker, Manfred 9 Fu, Feng 9 Garay, József 9 Gokhale, Chaitanya S. 9 Jiang, Jifa 9 Mertikopoulos, Panayotis 9 Mukhamedov, Farruh Maksutovich 9 Smith, Hal Leslie 9 Wang, Zhen 9 Wang, Zhen 9 Ye, Xiangdong 8 Argasinski, Krzysztof 8 Bellomo, Nicola 8 Bratus, Alexander S. 8 Dieckmann, Ulf 8 Gyllenberg, Mats 8 Lind, Douglas A. 8 McAvoy, Alex 8 Sasaki, Tatsuya 8 Shi, Lei 8 Souza, Max O. 8 Varandas, Paulo 8 Wu, Bin 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 Hilbe, Christian 7 Huttegger, Simon M. 7 Imhof, Lorens A. 7 Karev, Georgiĭ Petrovich 7 Li, Mingchu 7 Masuda, Naoki 7 Mobilia, Mauro 7 Park, Junpyo 7 Radi, Davide 7 Rychtár, Jan 7 Shen, Chen 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 6 Das, Ruchi 6 Gelfert, Katrin Grit 6 Hadeler, Karl-Peter 6 Han, The Anh 6 He, Mingfeng 6 Huang, Wen 6 Kon, Ryusuke 6 Kwietniak, Dominik 6 Liu, Chao 6 Metz, Johan A. Jacob ...and 2,694 more Authors
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#### Cited in 316 Serials

 276 Journal of Theoretical Biology 141 Journal of Mathematical Biology 88 Applied Mathematics and Computation 78 Theoretical Population Biology 66 Bulletin of Mathematical Biology 62 Chaos, Solitons and Fractals 60 Dynamic Games and Applications 59 Mathematical Biosciences 57 Ergodic Theory and Dynamical Systems 43 Journal of Mathematical Analysis and Applications 42 Games 39 Transactions of the American Mathematical Society 37 Journal of Differential Equations 36 Monatshefte für Mathematik 33 Games and Economic Behavior 30 Physica A 28 Israel Journal of Mathematics 27 Proceedings of the American Mathematical Society 27 Chaos 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 Physica D 20 Journal of Statistical Physics 20 Journal of Difference Equations and Applications 18 International Journal of Game Theory 18 Discrete and Continuous Dynamical Systems 18 Nonlinear Analysis. Real World Applications 16 Dynamical Systems 15 Physics Letters. A 15 Journal of Economic Theory 15 Topology and its Applications 14 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 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 The Annals of Applied Probability 10 Communications in Nonlinear Science and Numerical Simulation 10 Advances in Complex Systems 10 Stochastics and Dynamics 9 Computers & Mathematics with Applications 9 Communications in Mathematical Physics 9 Nonlinearity 9 Mathematische Zeitschrift 9 Proceedings of the National Academy of Sciences of the United States of America 9 Journal of Dynamics and Differential Equations 9 International Game Theory Review 8 Advances in Mathematics 8 Acta Applicandae Mathematicae 8 Journal of Economic Dynamics & Control 8 Linear Algebra and its Applications 8 Journal of Nonlinear Science 8 Qualitative Theory of 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 Journal of Computational and Applied Mathematics 7 Theory and Decision 7 Stochastic Processes and their Applications 7 Complexity 7 Nonlinear Dynamics 6 Biological Cybernetics 6 Physics Reports 6 The Mathematical Intelligencer 6 Automatica 6 Systems & Control Letters 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Mathematical Analysis 6 Acta Mathematica Sinica. English Series 6 SIAM Journal on Applied Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications 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 The Journal of Mathematical Sociology 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Mathematical Social Sciences 5 Mathematical and Computer Modelling 5 Annals of Operations Research 5 Japan Journal of Industrial and Applied Mathematics 5 New Journal of Physics 5 Advances in Difference Equations 4 Rocky Mountain Journal of Mathematics 4 Bulletin de la Société Mathématique de France 4 Journal of Computer and System Sciences 4 Mathematics of Operations Research 4 European Journal of Operational Research 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Economic Theory 4 Differential Equations and Dynamical Systems 4 Abstract and Applied Analysis 4 Discrete Dynamics in Nature and Society 4 Journal of Dynamical and Control Systems 4 Journal of Biological Systems 4 The ANZIAM Journal 4 Proceedings of the Steklov Institute of Mathematics ...and 216 more Serials
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#### Cited in 55 Fields

 1,007 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 941 Biology and other natural sciences (92-XX) 673 Dynamical systems and ergodic theory (37-XX) 311 Ordinary differential equations (34-XX) 164 Probability theory and stochastic processes (60-XX) 142 General topology (54-XX) 135 Measure and integration (28-XX) 78 Partial differential equations (35-XX) 68 Computer science (68-XX) 66 Systems theory; control (93-XX) 48 Operations research, mathematical programming (90-XX) 35 Combinatorics (05-XX) 35 Statistical mechanics, structure of matter (82-XX) 33 Numerical analysis (65-XX) 30 Operator theory (47-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Information and communication theory, circuits (94-XX) 25 Number theory (11-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 24 Difference and functional equations (39-XX) 17 Statistics (62-XX) 15 History and biography (01-XX) 13 Topological groups, Lie groups (22-XX) 13 Functional analysis (46-XX) 12 Mathematical logic and foundations (03-XX) 11 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 General and overarching topics; collections (00-XX) 9 Integral equations (45-XX) 9 Manifolds and cell complexes (57-XX) 9 Mechanics of particles and systems (70-XX) 8 Functions of a complex variable (30-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Quantum theory (81-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 6 Group theory and generalizations (20-XX) 6 Fluid mechanics (76-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-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 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

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