Item Details

title

Price Dynamic Random Walks on General Graphs

author

Ferrer, Orlando

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

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)

2022-05-28T08:30:16Z (available)

2020 (issued)

degree

Mathematics and Statistics (discipline)

embargo

2022-05-28 (terms)

identifier

http://hdl.handle.net/10339/96847 (uri)

language

en (iso)

publisher

Wake Forest University

type

Thesis