Home WakeSpace Scholarship › Electronic Theses and Dissertations

Price Dynamic Random Walks on General Graphs

Electronic Theses and Dissertations

Item Files

Item Details

abstract
In this thesis, we consider work done by Fan Feng and others, presented in Fan Feng, Price dynamics on networks, Master’s thesis, Wake Forest University, 2018. We address some of the conjectures and generalize some of the results therein, by considering a new model. The original and underlying motivation is to model price dynamics and population movement on connected, n-node graphs. Another significant motivation is to construct random walks on general graphs which manage to, in some sense, "evenly" distribute visits to nodes. This is an idea that is explored often in literature concerning load-balancing. Along the way towards building this model, we achieve other general results for random walks on graphs.
subject
Graph Theory
Mathematics
Price Dynamics
Probability
Random Walks
Statistics
contributor
Ferrer, Orlando (author)
Berenhaut, Kenneth (committee chair)
Norris, James (committee member)
Berenhaut, Kenneth (committee member)
Hepler, Staci (committee member)
Moore, Katherine (committee member)
date
2020-05-29T08:36:08Z (accessioned)
2020 (issued)
degree
Mathematics and Statistics (discipline)
2022-05-28 (liftdate)
embargo
2022-05-28 (terms)
identifier
http://hdl.handle.net/10339/96847 (uri)
language
en (iso)
publisher
Wake Forest University
title
Price Dynamic Random Walks on General Graphs
type
Thesis

Usage Statistics