Search for dissertations about: "random functions"

Showing result 1 - 5 of 157 swedish dissertations containing the words random functions.

  2. 1. A Study of Smooth Functions and Differential Equations on Fractals

    Author : Anders Pelander; Anders Öberg; Svante Janson; Alexander Teplyaev; Tom Lindström; Uppsala universitet; []
    Keywords : Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

    Abstract : 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. READ MORE

  4. 2. A typology of classifiers and gender : From description to computation

    Author : Marc Tang; Michael Dunn; Christine Lamarre; Sebastian Fedden; Uppsala universitet; []
    Keywords : HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Classifiers; Gender; Nominal classification; Functions; Random Forests; Phylogeny; Word Embeddings; Neural Networks; Linguistics; Lingvistik;

    Abstract : 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. READ MORE

  5. 3. Uncertainty Modelling in Hydrological Applications - Error Propagation Properties of Random Linear Systems

    Author : Jan Agerholm Høybye; Avdelningen för Teknisk vattenresurslära; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; geographical and geological engineering; Hydrogeology; floods; water quality; prediction uncertainty; differential equations; Stochastic hydrology; random functions; Hydrogeologi; teknisk geologi; teknisk geografi; Geophysics; physical oceanography; meteorology; Geofysik; fysisk oceanografi; meteorologi;

    Abstract : 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. READ MORE

  6. 4. Limit Theorems for Lattices and L-functions

    Author : Kristian Holm; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lattices; L-functions;

    Abstract : 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. READ MORE

  7. 5. Degrees in Random Graphs and Tournament Limits

    Author : Erik Thörnblad; Svante Janson; Erik Broman; Daniel Kráľ; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Random graphs; degree distributions; degree sequences; graph limits; tournaments; Mathematics; Matematik;

    Abstract : 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. READ MORE