Search for dissertations about: "Boris Shapiro"

Showing result 1 - 5 of 16 swedish dissertations containing the words Boris Shapiro.

  1. 1. Disconjugate linear ordinary differential equations, flag varieties and classification of symplectic leaves in several Kac-Moody and Gelfand-Dikii algebras

    Author : Boris Shapiro; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Algebra;

    Abstract : .... READ MORE

  2. 2. On a class of commutative algebras associated to graphs

    Author : Gleb Nenashev; Boris Shapiro; Volkmar Welker; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In 2004 Alexander Postnikov and Boris Shapiro introduced a class of commutative algebras for non-directed graphs. There are two main types of such algebras, algebras of the first type count spanning trees and algebras  of the second type count spanning forests. READ MORE

  3. 3. Power ideals, Fröberg conjecture and Waring problems

    Author : Alessandro Oneto; Boris Shapiro; Ralf Fröberg; Kristian Ranestad; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; power ideals; Hilbert function; fat points; Waring problem; matematik; Mathematics;

    Abstract : This thesis is divided into two chapters. First, we want to study particularclasses of power ideals, with particular attention to their relation with the Fröberg conjecture on the Hilbert series of generic ideals. READ MORE

  4. 4. Asymptotics of Eigenpolynomials of Exactly-Solvable Operators

    Author : Tanja Bergkvist; Boris Shapiro; Andrei Martinez-Finkelshtein; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; exactly-solvable; eigenpolynomials; zero distribution; asymptotics; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : The main topic of this doctoral thesis is asymptotic properties of zeros in polynomial families arising as eigenfunctions to exactly-solvable differential operators. The study was initially inspired by a number of striking results from computer experiments performed by G. Masson and B. Shapiro for a more restrictive class of operators. READ MORE

  5. 5. Around power ideals : From Fröberg's conjecture to zonotopal algebra

    Author : Gleb Nenashev; Boris Shapiro; Volkmar Welker; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Abstract : In this thesis we study power algebras, which are quotient of polynomial rings by power ideals. We will study Hilbert series of such ideals and their other properties. We consider two important special cases, namely, zonotopal ideals and generic ideals. Such ideals have a lot combinatorial properties. READ MORE