On Newton polytopes and growth properties of multivariate polynomials
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 |
| Publikationsjahr | 2016 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-568821 KITopen-ID: 1000056882 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | XI, 107 S. |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Wirtschaftswissenschaften (WIWI) |
| Institut | Institut für Operations Research (IOR) |
| Prüfungsdaten | 08.07.2016 |
| Schlagwörter | coercivity, Real Jacobian Conjecture, Newton polytope, global diffeomorphism |
| Referent/Betreuer | Stein, O. |