Search for dissertations about: "Limit Point"

Showing result 1 - 5 of 218 swedish dissertations containing the words Limit Point.

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

    Author : Martin Bender; Kurt Johansson; Arno Kuijlaars; KTH; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; 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

  2. 2. A Differentiable Approach to Stochastic Differential Equations : the Smoluchowski Limit Revisited

    Author : Haidar Al-Talibi; Astrid Hilbert; Yaozhong Hu; Linnéuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; α-stable Lévy noise; Fractional Brownian motion; Girsanov theorem; Mean-field model; Nonlinear stochastic oscillator; Ornstein-Uhlenbeck process; Scaling limit; Second order Itô equation; Time change.; Matematik; Mathematics;

    Abstract : In this thesis we generalize results by Smoluchowski [43], Chandrasekhar[6], Kramers, and Nelson [30]. Their aim is to construct Brownian motion as a limit of stochastic processes with differentiable sample paths by exploiting a scaling limit which is a particular type of averaging studied by Papanicolao [35]. READ MORE

  3. 3. Inflation and Instabilities of Hyperelastic Membranes

    Author : Amit Patil; Anders Eriksson; Arne Nordmark; Peter Hansbo; KTH; []
    Keywords : ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Membranes; Constrained inflation; Energy release rate; Adhesive contact condition; Limit point; Bifurcation point; Wrinkling; Tension field theory; Pressure induced instability.; Teknisk mekanik; Engineering Mechanics;

    Abstract : The applications of membranes are increasing rapidly in various fields of engineering and science. The geometric, material, force and contact non-linearities complicate their analysis, which increases the demand for computationally efficient methods and interpretation of counter-intuitive behaviours. READ MORE

  4. 4. Electronic Structure Calculations of Point Defects in Semiconductors

    Author : Andreas Höglund; Susanne Mirbt; Alison Mainwood; Uppsala universitet; []
    Keywords : Physics; electronic structure calculations; point defects; semiconductor; formation energy; equilibrium solubility limit; thermodynamic equilibrium concentration; transfer levels; negative-U; 110 surface; diffusion; activation energy; solar cells; Fysik;

    Abstract : In this thesis point defects in semiconductors are studied by electronic structure calculations. Results are presented for the stability and equilibrium concentrations of native defects in GaP, InP, InAs, and InSb, for the entire range of doping conditions and stoichiometry. READ MORE

  5. 5. On determinantal point processes and random tilings with doubly periodic weights

    Author : Tomas Berggren; Maurice Duits; Neil O'Connell; KTH; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Determinantal point processes; Periodically weighted random tilings; Central Limit Theorems; Riemann-Hilbert problems; Matematik; Mathematics;

    Abstract : This thesis is dedicated to asymptotic analysis of determinantal point processes originating from random matrix theory and random tiling models. Our main interest lies in random tilings of planar domains with doubly periodic weights. READ MORE