Sökning: "determinantal representation"

Hittade 3 avhandlingar innehållade orden determinantal representation.

1. 1. The density of rational points and invariants of genus one curves

   Författare :Manh Hung Tran; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; genus one; discriminant; modular form; Elliptic curve; height; descent; determinantal representation; invariant; rational point; theta function.; determinant method;

   Sammanfattning : The present thesis contains three papers dealing with two arithmetic problems on curves of genus one, which are closely related to elliptic curves. The first problem is to study the density of rational points presented in Papers I and II. LÄS MER

3. 2. Riemann-Hilbert methods in general relativity and random matrix theory

   Författare :Julian Mauersberger; Jonatan Lenells; Tom Claeys; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : This thesis focuses on problems in general relativity and random matrix theory that can be solved by means of Riemann-Hilbert techniques. The first part of the thesis is dedicated to solving boundary value problems related to colliding plane waves in vacuum in general relativity. LÄS MER

4. 3. Free convolutions and the Pearcey process in random matrix theory

   Författare :Philippe Moreillon; Kevin Schnelli; Benoit Collins; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Sammanfattning : The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathematical physics and operator algebras. First, we examine elementary questions that arise in Voiculescu’s Free Probability Theory of non-commutative random variables. LÄS MER