Sökning: "Boris Shapiro"
Visar resultat 1 - 5 av 18 avhandlingar innehållade orden Boris Shapiro.
1. Disconjugate linear ordinary differential equations, flag varieties and classification of symplectic leaves in several Kac-Moody and Gelfand-Dikii algebras
Sammanfattning : .... LÄS MER
2. On a class of commutative algebras associated to graphs
Sammanfattning : 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. LÄS MER
3. Linear differential operators and their Hutchinson invariant sets
Sammanfattning : In this licentiate thesis we consider problems related to what we call Hutchinson invariance, which is a form of invariance for sets in the complex plane or the Riemann sphere with respect to the action of special differential operators.In the introductory chapter, we provide a background on Hutchinson invariance, explain how it relates to other problems in dynamical systems and why it is an interesting subject of study. LÄS MER
4. Power ideals, Fröberg conjecture and Waring problems
Sammanfattning : 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. LÄS MER
5. Asymptotics of Eigenpolynomials of Exactly-Solvable Operators
Sammanfattning : 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. LÄS MER