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On multi-dimensional continued fractions


Project Description

n a recent breakthrough, a particular multi-dimensional analogue of the two-dimensional continued fraction algorithm has been established by Lettington and his collaborators, which incorporates and extends the normal continued fraction construction of convergents to a point (x1,...,xm)∈Rm.

With the context briefly outlined, we can now state the main aim of this PhD project, which is to establish analytic bounds for the accuracy of the convergents for the multi-dimensional continued fraction algorithm, alongside exploring geometric properties of lattice point constructions for these convergents.

We are interested in pursuing this project and welcome applications if you are self-funded or have funding from other sources, including government sponsorships or your employer.

Please contact the supervisor when you want to pursue this project, citing the project title in your email

Related Subjects

How good is research at Cardiff University in Mathematical Sciences?

FTE Category A staff submitted: 24.05

Research output data provided by the Research Excellence Framework (REF)

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