Search for dissertations about: "reinforced random walk"

Found 2 swedish dissertations containing the words reinforced random walk.

2. 1. 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

4. 2. Reinforcement in Biology : Stochastic models of group formation and network construction

   Author : Qi Ma; David Sumpter; Edward Codling; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; reinforcement in biology; merge and split model; preferential attachment; reinforced random walk; network construction; shortest path problem; transport networks; ant algorithm; slime mould; physarum polycephalum; speed-accuracy tradeoff.; Mathematics with specialization in Applied Mathematics; Matematik med inriktning mot tillämpad matematik;

   Abstract : Empirical studies show that similar patterns emerge from a large number of different biological systems. For example, the group size distributions of several fish species and house sparrows all follow power law distributions with an exponential truncation. READ MORE