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Fully-funded PhD Studentship -- Graph-based analysis of spatial systems

Aims of the project

===================

The project focuses on the exploration of long-time properties of

random walks on graphs for the characterisation of heterogeneity in

spatial systems. The main hypothesis is that the trajectories of

random walks on graphs embedded in 2-dimensional and 3-dimensional

Euclidean spaces preserve a lot of information about the presence and

importance of spatial correlations in the system. The main aim is to

provide new graph-based methods to quantify correlations and

heterogeneity in large-scale spatial data sets, and to devise

appropriate null-models for the normalisation of those measures and

the comparison of heterogeneity across different systems. The project

has both a mathematical and a data-oriented component. It will most

probably require the ability to simulate simple dynamics processes on

graphs, and will provide extensive opportunities to deal with

real-world data sets.


The candidate

=============

The ideal candidate is a UK/EU national with a Master-level degree in

Mathematics, Physics, or Computer Science (with a strong maths

component), and a strong interest in networks. Previous

experience/knowledge in one or more of graph theory, network science,

processes on graphs, discrete mathematics, combinatorics, matrix

theory, dynamical systems, stochastic processes, random walks,

time-series analysis, numerical simulations, is desirable but not

essential.


The research group 

==================

The student will be part of the Complex Systems and Networks Research

Group at Queen Mary University of London. The group consists of 8

academics, 3 PDRAs and about 12 PhD students conducting world-leading

research in complex networks, complex systems, time series analysis,

stochastic processes, statistical physics, nonlinear dynamics,

mathematical modelling of biological systems, with applications to

biology, ecology, neuroscience, urbanism, finance, engineering.


The School

==========

The School of Mathematical Sciences is committed to the equality of

opportunities and to advancing women’s careers. As holders of a Bronze

Athena SWAN award we offer family friendly benefits and support

part-time study. We strongly encourage applications from women as they

are underrepresented within the School.


Funding Notes

=============

This project is eligible for full funding, including support for 3.5

years’ study, additional funds for conference and research visits and

funding for relevant IT needs.



CountryUK
LabLondon
Starts on01/09/2019
Deadline30/06/2019 0:00
Linkhttps://www.findaphd.com/phds/project/assessing-spatial-heterogeneity-through-random-walks-on-graphs/?p109346
Keywordsspatial systems; random walks; graphs;

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