Search for dissertations about: "polynomials"
Showing result 11 - 15 of 133 swedish dissertations containing the word polynomials.
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11. Combinatorics of stable polynomials and correlation inequalities
Abstract : This thesis contains five papers divided into two parts. In the first part, Papers I-IV, we study polynomials within the field of combinatorics. Here we study combinatorial properties as well as the zero distribution of the polynomials in question. The second part consists of Paper V, where we study correlating events in randomly oriented graphs. READ MORE
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12. Externally positive systems : Analysis and control based on combinatorial polynomials
Abstract : Monotonic tracking is required in many control systems, including those that cannot tolerate any overshoots and undershoots in their closed-loop responses. Classical examples are found in vehicle cruise control and liquid tank level control. READ MORE
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13. Reordering in Noncommutative Algebras, Orthogonal Polynomials and Operators
Abstract : The main object studied in this thesis is the multi-parametric family of unital associative complex algebras generated by the element $Q$ and the finite or infinite set $\{S_j\}_{j\in J}$ of elements satisfying the commutation relations $S_jQ=\sigma_j(Q)S_j$, where $\sigma_j$ is a polynomial for all $j\in J$. A concrete representation is given by the operators $Q_x(f)(x)=xf(x)$ and $\alpha_{\sigma_j}(f)(x)=f(\sigma_j(x))$ acting on polynomials or other suitable functions. READ MORE
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14. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations
Abstract : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. READ MORE
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15. Tropical aspects of real polynomials and hypergeometric functions
Abstract : The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros.First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. READ MORE