Sökning: "Inhomogeneous random graph"

Hittade 5 avhandlingar innehållade orden Inhomogeneous random graph.

  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. 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

  4. 3. Stochastic epidemics on random networks and competition in growth

    Författare :Carolina Fransson; Pieter Trapman; Daniel Ahlberg; Julia Komjathy; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; random graphs; branching processes; SIR epidemics; malthusian parameter; urn model; matematisk statistik; Mathematical Statistics;

    Sammanfattning : The COVID-19 pandemic has dramatically demonstrated the importance of epidemic models in understanding and predicting disease spread and in assessing the effectiveness of interventions. The overarching topic of this thesis is stochastic epidemic modelling, with the main focus on the role of the underlying social structure in infectious disease spread. LÄS MER

  5. 4. On Directed Random Graphs and Greedy Walks on Point Processes

    Författare :Katja Gabrysch; Svante Janson; Takis Konstantopoulos; Thomas Mountford; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Directed random graphs; Tracy-Widom distribution; Poisson-weighted infinite tree; Greedy walk; Point processes;

    Sammanfattning : This thesis consists of an introduction and five papers, of which two contribute to the theory of directed random graphs and three to the theory of greedy walks on point processes.          We consider a directed random graph on a partially ordered vertex set, with an edge between any two comparable vertices present with probability p, independently of all other edges, and each edge is directed from the vertex with smaller label to the vertex with larger label. LÄS MER

  7. 5. Spatial Marriage Problems and Epidemics

    Författare :Fabio Lopes; Maria Deijfen; Markus Heydenreich; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical Statistics; matematisk statistik;

    Sammanfattning : This thesis consists of four papers covering three different topics on the modeling of large real networks and phenomena thereon. In Papers I and II, we propose and study the properties of a bipartite version of the model introduced by Deijfen, Holroyd and Häggström for generating translation-invariant spatial random graphs with prescribed degree distribution. LÄS MER