Sökning: "geometric probability"

Visar resultat 1 - 5 av 49 avhandlingar innehållade orden geometric probability.

  1. 1. Random geometric graphs and their applications in neuronal modelling

    Författare :Fioralba Ajazi; Matematisk statistik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; random graph; Neural Network; Probability; Inhomogeneous random graph; random distance graph; random grown networks;

    Sammanfattning : Random graph theory is an important tool to study different problems arising from real world.In this thesis we study how to model connections between neurons (nodes) and synaptic connections (edges) in the brain using inhomogeneous random distance graph models. LÄS MER

  3. 2. Markov Chains, Renewal, Branching and Coalescent Processes : Four Topics in Probability Theory

    Författare :Andreas Nordvall Lagerås; Thomas Höglund; Ingemar Kaj; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; Matematisk statistik; matematisk statistik; Mathematical Statistics;

    Sammanfattning : This thesis consists of four papers.In paper 1, we prove central limit theorems for Markov chains under (local) contraction conditions. As a corollary we obtain a central limit theorem for Markov chains associated with iterated function systems with contractive maps and place-dependent Dini-continuous probabilities. LÄS MER

  4. 3. Barycentric Markov processes and stability of stochastic integrators

    Författare :Philip Kennerberg; Matematisk statistik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; geometric probability; dirichlet processes; Markov processes; stochastic integration; interacting particle systems;

    Sammanfattning : This thesis consists of four papers that broadly concerns two dierent topics. The rsttopic is so-called barycentric Markov processes. By a barycentric Markov process wemean a process that consists of a point/particle system evolving in (discrete) time,whose evolution depends in some way on the mean value of the current points in thesystem. LÄS MER

  5. 4. Learning with Geometric Embeddings of Graphs

    Författare :Fredrik Johansson; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Graphs are natural representations of problems and data in many fields. For example, in computational biology, interaction networks model the functional relationships between genes in living organisms; in the social sciences, graphs are used to represent friendships and business relations among people; in chemoinformatics, graphs represent atoms and molecular bonds. LÄS MER

  7. 5. Critical Scaling in Particle Systems and Random Graphs

    Författare :Vasilii Goriachkin; Matematisk statistik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; dissipative force; particles collisions; random graphs; random walks; martingales; geometric random graphs; neural networks; critical scaling; diffusion approximation;

    Sammanfattning : The purpose of this thesis is to study the behavior of macro-systems through their micro-parameters. In particular, we are interested in finding critical scaling in various models.Paper I investigates the influence of discrete-time collisions on particle dynamics. LÄS MER