Search for dissertations about: "random walk"

Showing result 1 - 5 of 64 swedish dissertations containing the words random walk.

  2. 1. Random iteration of isometries

    Author : Markus Ådahl; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; iterated function system; isometry; central limit theorem; weak invariance principle; law of the iterated logarithm; random walk; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Abstract : This thesis consists of four papers, all concerning random iteration of isometries. The papers are:I. Ambroladze A, Ådahl M, Random iteration of isometries in unbounded metric spaces. Nonlinearity 16 (2003) 1107-1117. READ MORE

  4. 2. Random Loewner Chains

    Author : Carl Fredrik Johansson; Michael Benedicks; Ilia Binder; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Loewner differential equation; Schramm-Loewner evolution; loop-erased random walk; Hastings-Levitov model; MATHEMATICS; MATEMATIK;

    Abstract : This thesis contains four papers and two introductory chapters. It is mainly devoted to problems concerning random growth models related to the Loewner differential equation. READ MORE

  5. 3. Random Geometry and Reinforced Jump Processes

    Author : Tuan-Minh Nguyen; Probability and Inference Theory Group; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; random polygons; products of random matrices; vertex-reinforced jump processes; pseudotrajectories; random walks in simplexes; Markov chains in a general state space;

    Abstract : This thesis comprises three papers studying several mathematical models related to geometric Markov processes and random processes with reinforcements. The main goal of these works is to investigate the dynamics as well as the limiting behaviour of the models as time goes to infinity, the existence of invariant measures and limiting distributions, the speed of convergence and other interesting relevant properties. READ MORE

  6. 4. A Random Walk in Statistical Physics

    Author : Pontus Svensson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis deals with some aspects of the physics of disordered systems. It consists of four papers and an introductory part. An introduction, suitable for physicists, to theoretical computer science and computational complexity is contained in chapter 2. READ MORE

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

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

    Abstract : 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. READ MORE