TY  - THES
A1  - Gardoll, Stephan
T1  - Properties of conically stable polynomials and imaginary projections
N2  - We thoroughly study the properties of conically stable polynomials and imaginary projections. A multivariate complex polynomial is called stable if its nonzero whenever all coordinates of the respective argument have a positive imaginary part. In this dissertation we consider the generalized notion of K-stability. A multivariate complex polynomial is called K-stable if its non-zero whenever the imaginary part of the respective argument lies in the relative interior of the cone K. We study connections to various other objects, including imaginary projections as well as preservers and combinatorial criteria for conically stable polynomials.
Y1  - 2023
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/73291
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-732914
N1  - Kumulative Dissertation - enthält die eingereichten Manuskriptversionen (Author Submitted Manuscripts) der folgenden Artikel: 

Dey, Papri; Gardoll, Stephan; Theobald, Thorsten (2020): Conic stability of polynomials and positive maps. arXiv:1908.11124v2, DOI: 10.48550/arXiv.1908.11124

Gardoll, Stephan; Namin, Mahsa Sayyary; Theobald, Thorsten (2022): Imaginary Projections: Complex Versus Real Coefficients. arXiv:2107.08841v3. DOI: 10.48550/arXiv.2107.08841.

Codenotti, Giulia; Gardoll, Stephan; Theobald, Thorsten (2022): Combinatorics and preservation of conically stable polynomials. arXiv:2206.10913v2. DOI: https://doi.org/10.48550/arXiv.2206.10913
CY  - Frankfurt am Main
ER  -