About: Immanuel Bomze

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Immanuel Bomze is an Austrian mathematician. In his Ph.D. thesis, he completely classified all (more than 100 topologically different) possible flows of the generalized Lotka–Volterra dynamics (generalized Lotka–Volterra equation) on the plane, employing equivalence of this dynamics to the 3-type replicator equation.

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rdfs:label	Immanuel Bomze (en)
rdfs:comment	Immanuel Bomze is an Austrian mathematician. In his Ph.D. thesis, he completely classified all (more than 100 topologically different) possible flows of the generalized Lotka–Volterra dynamics (generalized Lotka–Volterra equation) on the plane, employing equivalence of this dynamics to the 3-type replicator equation. (en)
dcterms:subject	Living people 1958 births University of Vienna alumni Academics of the University of Vienna Austrian mathematicians Scientists from Vienna
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Wikipage revision ID	1116617494 (xsd:integer)
Link from a Wikipage to another Wikipage	University of Vienna EURO Journal on Computational Optimization Living people Mathematical modeling Generalized Lotka–Volterra equation Game theory NP-hard Conic optimization Statistics Mathematician 1958 births University of Vienna alumni Academics of the University of Vienna Austrian mathematicians Scientists from Vienna Evolutionary game theory Replicator equation Dynamical systems Association of European Operational Research Societies Optimization European Journal of Operational Research
Link from a Wikipage to an external page	http://www.journals.elsevier.com/european-journal-of-operational-research/ http://genealogy.math.ndsu.nodak.edu/id.php%3Fid=117485 http://www.zentralblatt-math.org/zbmath/authors/profile.xml%3Fq=ai:bomze.immanuel-m https://www.euro-online.org/websites/continuous-optimization/ http://homepage.univie.ac.at/immanuel.bomze/ https://www.journals.elsevier.com/euro-journal-on-computational-optimization/
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has abstract	Immanuel Bomze is an Austrian mathematician. In his Ph.D. thesis, he completely classified all (more than 100 topologically different) possible flows of the generalized Lotka–Volterra dynamics (generalized Lotka–Volterra equation) on the plane, employing equivalence of this dynamics to the 3-type replicator equation. In “Non-cooperative two-person games in biology: a classification” (1986) and his book jointly authored with B. M. Pötscher (Game theoretic foundations of evolutionary stability, Springer 1989), he popularized the field of evolutionary game theory which at that time received most attention within Theoretical Biology, among researchers in Economics and Social Sciences. Around the turn of the millennium, he coined, together with his co-authors, the now widely used terms "Standard Quadratic Optimization" and "Copositive Optimization" or "Copositive Programming". While the further deals with the simplest problem class in non-linear optimization with an NP-hard complexity, copositive optimization allows a conic reformulation of these hard problems as a linear optimization problem over a closed convex cone of symmetric matrices, a so-called conic optimization problem. In this type of problems, the full extent of complexity is put into the cone constraint, while structural constraints and also the objective function are linear and therefore easy to handle. (en)
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is Link from a Wikipage to another Wikipage of	EURO Journal on Computational Optimization Association of European Operational Research Societies Austrian Society of Operations Research
is editor of	EURO Journal on Computational Optimization
is editor of	EURO Journal on Computational Optimization
is foaf:primaryTopic of	wikipedia-en:Immanuel_Bomze

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