Sökning: "geometric random graphs"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden geometric random graphs.

  1. 1. 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

  3. 2. 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

  4. 3. Topics in algorithmic, enumerative and geometric combinatorics

    Författare :Ragnar Freij; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Discrete Morse theory; simplicial G-complex; centrally symmetric polytope; split graph; derangement; pattern packing; composition; finite poset; optimal stopping; secretary problem.; finite poset;

    Sammanfattning : This thesis presents five papers, studying enumerative and extremal problems on combinatorial structures. The first paper studies Forman's discrete Morse theory in the case where a group acts on the underlying complex. LÄS MER

  5. 4. Noise sensitivity and FK-type representations for Gaussian and stable processes

    Författare :Malin Palö Forsström; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; color representation; exclusion process; color process; Noise sensitivity; threshold stable vector; volatility; noise stability; interchange process; threshold Gaussian vector; multivariate stable distribution; Bernoulli random vector; mixing time;

    Sammanfattning : This thesis contains four papers on probability theory. Paper A concerns the question of whether the exclusion sensitivity and exclusion stability of a sequence of Boolean functions are monotone with respect to adding edges to the underlying sequence of graphs. LÄS MER

  7. 5. Consensus formation in the Deffuant model

    Författare :Timo Hirscher; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Deffuant model; consensus formation; opinion dynamics; sociophysics; vector-valued opinions; percolation; sociophysics;

    Sammanfattning : This thesis deals with a mathematical model used in the context of social interaction in large groups, introduced by Deffuant et al. in 2000. Each individual holds an opinion and shares it with others in random pairwise encounters. LÄS MER