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PhD Studentship: Ergodic Theory for Complex Systems

Subject areas:

Mathematics.

Funding type:

Research Training & Support Grant. Study costs.



Fully-funded PhD studentship available to start in June 2025 or the 2025/26 academic year.

Award details

Complex systems are made of a large number of components intricately interacting with each other. Even when the components are well understood in isolation, it is a great challenge to determine the emergent behaviour that results from their interactions. Models of complex systems are often prescribed by a network where each node represents a component/unit and where the links prescribe the structure of the interactions among them. Changes in the interaction structure have far reaching effects.

Depending on your background and interests you will work to develop new strategies to tackle strong interactions between coupled chaotic units and either study their ergodic properties (like evolution of measures and indicators of chaos e.g. Lyapunov exponents), or you will have a chance to investigate models of network dynamics inspired by biology akin to neuronal networks, or you will develop methods to determine network structure from observations of a given networked system.

Award value

Funding is available for 3.5 years, covering:

  • Stipend;
  • Bench Fees;
  • Tuition fees (full home or overseas tuition fees).

Eligibility criteria

Award open to UK and international students.

Applicants should have a 2:1 or first-class undergraduate degree, or an MMath, MSci or Master’s degree with Merit and high grades in modules relating to the research area.

Application process

To be considered for the position, candidates must apply via King’s Apply online application system. Details are available at https://www.kcl.ac.uk/mathematics/postgraduate/research-degrees.

Please apply for Applied Mathematics Research: Disordered Systems/Financial Mathematics/Probability MPhil/PhD, indicate Matteo Tanzi as the supervisor and quote the project title in your application and all correspondence.

Please ensure to add the following code “StartUpTanzi” in the Funding section of the application form. Please select option 5: ‘I am applying for a funding award or scholarship administered by King’s College London’ and type the code into the ‘Award Scheme Code or Name’ box. Please copy and paste the code exactly.

The selection process will involve a pre-selection on documents and, if selected, will be followed by an invitation to an interview. If successful at the interview, an offer will be provided in due course.

Please apply no later than the 31st of January 2025.

Contact Details:

For further information please contact, or if you require support with the application process please contact mathematics-pgr@kcl.ac.uk.

For more details on the project feel free to contact Dr. Matteo Tanzi matteo.tanzi@kcl.ac.uk.

 
 

Academic year:

2024-25

Study mode:

Postgraduate research

Application closing date:

31 January 2025