Search for dissertations about: "Kurt Johansson"

Showing result 6 - 10 of 20 swedish dissertations containing the words Kurt Johansson.

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

    Author : Martin Bender; Kurt Johansson; Arno Kuijlaars; KTH; []
    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

  4. 7. Linear statistics of random matrices and log-gases

    Author : Klara Courteaut; Kurt Johansson; Christian Webb; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : This thesis is concerned with point processes arising in Random Matrix Theory. It is a compilation thesis: it consists of an introduction and three research papers.In Paper A and Paper B, we study random matrices from the classical compact groups, namely orthogonal, unitary, and symplectic matrices distributed according to Haar measure. READ MORE

  5. 8. On Uniformly Random Discrete Interlacing Systems

    Author : Erik Duse; Kurt Johansson; Patrik Ferrari; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis concerns uniformly random discrete interlacing particle sys-tems and their connections to certain random lozenge tiling models. In par-ticular it contains the first derivation of a relatively unknown universal scalinglimit, which we call the Cusp-Airy process, of certain lozenge tiling modelsat a cusp point. READ MORE

  6. 9. Fluctuations of smooth linear statistics of determinantal point processes

    Author : Lambert Gaultier; Kurt Johansson; Igor Krasovsky; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : We study eigenvalues of unitary invariant random matrices and other de-terminantal point processes. Paper A investigates some generalizations ofthe Gaussian Unitary Ensemble which are motivated by the physics of freefermions. READ MORE

  7. 10. A Nordic Perspective on Data Availability for Quantification of Losses due to Natural Hazards

    Author : Tonje Grahn; Lars Nyberg; Magnus Johansson; Henrik Jaldell; Kurt Petersen; Karlstads universitet; []
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Natural hazard; damage quantification; flood damage; landslide; loss of life; Risk- och Miljöstudier; Risk and Environmental Studies;

    Abstract : Natural hazards cause enormous amounts of damage worldwide every year. Since 1994 more than 1.35 billion people have lost their lives and more than 116 million homes have been damaged. Understanding of disaster risk implies knowledge about vulnerability, capacity, exposure of persons and assets, hazard characteristics and the environment. READ MORE