COSTA, MARCELO,ROCHA (2018) Cooperative Models of Stochastic
Growth - On a class of reinforced processes with
graph-based interactions. Doctoral thesis, Durham University.
|Microsoft Word (Costa, M. - PhD. Thesis) - Accepted Version |
Available under License Creative Commons Public Domain Dedication CC0 1.0 Universal.
Consider a sequence of positive integer-valued random vectors denoted by for . Fix , and given , choose a coordinate . The probability that for a particular coordinate is proportional to a non-decreasing function of , where measures how strongly cooperates with . Now, on the event that , update the sequence in such a way that , where is the vector whose -th coordinate is 1 and whose other coordinates are 0. Finally, given and what can one say about ?
|Item Type:||Thesis (Doctoral)|
|Award:||Doctor of Philosophy|
|Keywords:||Stochastic Growth; Urn models; Branching Processes; Stochastic Approximation Algorithm.|
|Faculty and Department:||Faculty of Science > Mathematical Sciences, Department of|
|Copyright:||Copyright of this thesis is held by the author|
|Deposited On:||11 May 2018 13:38|