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On Newton polytopes and growth properties of multivariate polynomials

Bajbar, Tomáš

Abstract (englisch): Many interesting properties of polynomials are closely related to the geometry of their Newton polytopes. In this dissertation thesis, we analyze the growth properties of real multivariate polynomials in terms of their so-called Newton polytopes at infinity. We show some applications of our results, relate them to the existing literature and illustrate them with several examples.

Zugehörige Institution(en) am KIT Institut für Operations Research (IOR)
Publikationstyp Hochschulschrift
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000056882
URN: urn:nbn:de:swb:90-568821
KITopen ID: 1000056882
Verlag Karlsruhe
Umfang XI, 107 S.
Abschlussart Dissertation
Fakultät Fakultät für Wirtschaftswissenschaften (WIWI)
Institut Institut für Operations Research (IOR)
Prüfungsdaten 08.07.2016
Referent/Betreuer Prof. O. Stein
Schlagworte coercivity, Real Jacobian Conjecture, Newton polytope, global diffeomorphism
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