Search for dissertations about: "GUE"

Found 5 swedish dissertations containing the word GUE.

  1. 1. Interlaced particles in tilings and random matrices

    University dissertation from Stockholm : KTH

    Author : Eric Nordenstam; KTH.; [2009]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Interlaced particles; GUE; Anti-symmetric GUE; domino tilings; lozenge tilings; MATHEMATICS Algebra; geometry and mathematical analysis; MATEMATIK Algebra; geometri och analys;

    Abstract : This thesis consists of three articles all relatedin some way to eigenvalues of random matrices and theirprincipal minors and also to tilings of various planar regions with dominoes or rhombuses.Consider an $N\times N$ matrix $H_N=[h_{ij}]_{i,j=1}^N$ from the Gaussian unitary ensemble (GUE). READ MORE

  2. 2. Limit theorems for generalizations of GUE random matrices

    University dissertation from Stockholm : KTH

    Author : Martin Bender; KTH.; [2008]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Random matrices; Central limit theorem; Dyson s Brownian motion; Interacting diffusion; Point process; Non-Hermitian; Scaling limit; MATHEMATICS; MATEMATIK;

    Abstract : This thesis consists of two papers devoted to the asymptotics of random matrix ensembles and measure valued stochastic processes which can be considered as generalizations of the Gaussian unitary ensemble (GUE) of Hermitian matrices H=A+A†, where the entries of A are independent identically distributed (iid) centered complex Gaussian random variables.In the first paper, a system of interacting diffusing particles on the real line is studied; special cases include the eigenvalue dynamics of matrix-valued Ornstein-Uhlenbeck processes (Dyson's Brownian motion). READ MORE

  3. 3. Influence of Admixtures on Crystal Nucleation of Vanillin

    University dissertation from Stockholm : Kemiteknik

    Author : Osvaldo Pino-García; KTH.; [2004]
    Keywords : Crystallization; nucleation; vanillin; admixtures; additives; impurities; induction time; interfacial energy; molecular modelling; interaction energy;

    Abstract : Admixtures like reactants and byproducts are solublenon-crystallizing compounds that can be present in industrialsolutions and affect crystallization of the main substance.This thesis provides experimental and molecular modellingresults on the influence of admixtures on crystal nucleation ofvanillin (VAN). READ MORE

  4. 4. Gaussian fluctuations in some determinantal processes

    University dissertation from Stockholm : KTH

    Author : Jonas Hägg; KTH.; [2007]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Random matrices; limit theorems; MATHEMATICS; MATEMATIK;

    Abstract : This thesis consists of two parts, Papers A and B, in which some stochastic processes, originating from random matrix theory (RMT), are studied.In the first paper we study the fluctuations of the kth largest eigenvalue, xk, of the Gaussian unitary ensemble (GUE). READ MORE

  5. 5. Theory of Random Matrices and Elasticity Applied to Nanowires and Mechanical Vibrations

    University dissertation from Stockholm : KTH

    Author : Johan Grönqvist; [2010]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis presents work in several areas relating to Random Matrix Theory and Elasticity. It contains 4 papers presenting work on different issues. Paper I concerns correlations between eigenvalues in random matrices of real symmetric (GOE) or quaternion real (GSE) form. READ MORE