Mathematical modelling and analysis: adoption of Blockchain-based technologies, and coupled oscillators with distributed delays

Ross, Aleksandra (2021) Mathematical modelling and analysis: adoption of Blockchain-based technologies, and coupled oscillators with distributed delays. Doctoral thesis (PhD), University of Sussex.

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Abstract

The aim of this thesis is to consider the degree to which biological systems and coupled oscillator networks, may be comparable in financial context, and to examine whether epidemiological models developed to explain the dynamics of infectious diseases may be practically applied to financial sectors. Evidently, epidemics and financial crises share certain general features, such as the global spread potential, due to rapid mobility of people, commodities, information and capital. Disease outbreaks may also induce market turbulence, necessitating catastrophic risk management, which is clear from the COVID-19 pandemic. The term financial is used broadly, for instance in Chapter 2 and Chapter 3 we consider Blockchain-based cryptocurrency markets.

Complex systems can be deconstructed into homogeneous interacting subsystems, represented as nodes of a network. The interactions between the subsystems are expressed as links between the nodes. In the case of Blockchain, one type of network would be depicting the blocks as nodes, and links between these blocks representing the chain. Another network would consist of nodes of the network being the users/miners, and the links describing the connections between them. The main idea of a decentralised Blockchain is the dynamical process of information transfer. Analysis of and insights into the Blockchain network is crucial for understanding the dynamics. Dynamics with time delays, as well as latency in the coupling are an important aspect in scientific and technological fields. Our focus for the second part of the thesis is to determine the influence of distributed delays
on coupled phase oscillators.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: H Social Sciences > HG Finance > HG0101 Theory. Method. Relation to other subjects > HG0106 Mathematical models
H Social Sciences > HG Finance > HG1501 Banking > HG1710 Electronic funds transfer
R Medicine > RA Public aspects of medicine > RA0421 Public health. Hygiene. Preventive Medicine > RA0648.5 Epidemics. Epidemiology. Quarantine. Disinfection
Depositing User: Library Cataloguing
Date Deposited: 26 Jul 2021 09:19
Last Modified: 26 Jul 2021 09:19
URI: http://sro.sussex.ac.uk/id/eprint/100783

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