Search for dissertations about: "Petter Brändén"
Found 5 swedish dissertations containing the words Petter Brändén.
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1. On q-Narayana numbers and real-rooted polynomials in combinatorics
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2. On unimodality and real-rootedness of polynomials in combinatorics
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3. Combinatorics and zeros of multivariate polynomials
Abstract : This thesis consists of five papers in algebraic and enumerative combinatorics. The objects at the heart of the thesis are combinatorial polynomials in one or more variables. We study their zeros, coefficients and special evaluations. Hyperbolic polynomials may be viewed as multivariate generalizations of real-rooted polynomials in one variable. READ MORE
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4. 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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5. Multiplier Sequences for Laguerre bases
Abstract : Pólya and Schur completely characterized all real-rootedness preserving linear operators acting on the standard monomial basis in their famous work from 1914. The corresponding eigenvalues are from then on known as multiplier sequences. READ MORE