Sökning: "random functions"
Visar resultat 1 - 5 av 160 avhandlingar innehållade orden random functions.
1. A Study of Smooth Functions and Differential Equations on Fractals
Sammanfattning : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. LÄS MER
2. A typology of classifiers and gender : From description to computation
Sammanfattning : Categorization is one the most relevant tasks realized by humans during their life, as we consistently need to categorize the things and experience that we encounter. Such need is reflected in language via various mechanisms, the most prominent being nominal classification systems (e.g. LÄS MER
3. Uncertainty Modelling in Hydrological Applications - Error Propagation Properties of Random Linear Systems
Sammanfattning : In hydrological models for water resources management and planning, the model output or design quantities are functions of the input data and a number of parameters that are essentially stochastic processes or random variables. The task of uncertainty analysis is to estimate the uncertainty characteristics of the model output in terms of the uncertainties in the input, model parameters and initial conditions. LÄS MER
4. Limit Theorems for Lattices and L-functions
Sammanfattning : This PhD thesis investigates distributional questions related to three types of objects: Unimodular lattices, symplectic lattices, and Hecke L-functions of imaginary quadratic number fields of class number 1. In Paper I, we follow Södergren and examine the asymptotic joint distribution of a collection of random variables arising as geometric attributes of the N = N(n) shortest non-zero lattice vectors (up to sign) in a random unimodular lattice in n-dimensional Euclidean space, as the dimension n tends to infinity: Normalizations of the lengths of these vectors, and normalizations of the angles between them. LÄS MER
5. Degrees in Random Graphs and Tournament Limits
Sammanfattning : This thesis consists of an introduction and six papers on the topics of degree distributions in random graphs and tournaments and their limits.The first two papers deal with a dynamic random graph, evolving in time through duplication and deletion of vertices and edges. In Paper I we study the degree densities of this model. LÄS MER