Sökning: "Limit point"
Visar resultat 1 - 5 av 271 avhandlingar innehållade orden Limit point.
1. Limit theorems for generalizations of GUE random matrices
Sammanfattning : 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). LÄS MER
2. A Differentiable Approach to Stochastic Differential Equations : the Smoluchowski Limit Revisited
Sammanfattning : 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]. LÄS MER
3. Topoi/graphein
Sammanfattning : The aim of this thesis is to map the paradoxical limit of the in-between. In its most basic form the thesis is a paradox in itself, for how am I to comprehend and communicate the ever-changing world in a language which is characterised by fixed points and stable relations? The thesis consists of three main parts: a prologue, six chapters and an epilogue. LÄS MER
4. Inflation and Instabilities of Hyperelastic Membranes
Sammanfattning : 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. LÄS MER
5. Electronic Structure Calculations of Point Defects in Semiconductors
Sammanfattning : 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. LÄS MER