Sökning: "random distance graph"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden random distance 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. Topics in discrete random structures

    Författare :Anders Martinsson; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; First--passage percolation; Cartesian power graph; third moment argument; jigsaw puzzle; shotgun assembly; monotone paths; non-Markovian coupling; high dimension; coupling inequality; monotone paths;

    Sammanfattning : This thesis presents four papers on problems in discrete probability. A common theme of the articles is to take some class of discrete structures, impose some randomness, and then consider what happens asymptotically as the size of the structure tends to infinity. LÄS MER

  5. 4. Roughening in dimer models : Random matrix statistics and surface fluctuations

    Författare :Scott Mason; Kurt Johansson; Alexey Bufetov; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : The field of mathematical statistical mechanics sits at the intersection of probability theory and mathematical physics. It consists of the rigorous analysis of models in statistical mechanics, such as dimer and lattice models - of which the Ising model is a classical example. LÄS MER

  7. 5. Decorating trees grown in urns

    Författare :Colin Desmarais; Cecilia Holmgren; Stanislav Volkov; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Random recursive trees are classic models of random trees. A random recursive tree is initiated with a single root vertex and constructed in steps, whereby at each step a vertex is added as the child of a vertex chosen uniformly at random in the tree. LÄS MER