- PHD COMPLETION SEMINAR
- Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
- Time and Date: 11:00 am, Wed, 5th Aug 2015
- Speaker: Mr Matthew Tam, School of Mathematical and Physical Sciences, The University of Newcastle
- Title: Iterative Projection and Reflection Methods
This completion talk is in two parts. In the first part, I will present a characterisation of the cyclic Douglas-Rachford method's behaviour, generalising a result which was presented in my confirmation seminar. In the second part, I will explore non-convex regularity notions in an application arising in biochemistry.
- Speaker: Cameron Rogers, School of Mathematical and Physical Sciences, The University of Newcastle
- Title: Moving from cogrowth rates to Følner sets via a random walk
Amenability is of interest for many reasons, not least of which is its paradoxical decomposition into so many various characterisations, each equal to the whole. Two of these are the characterisation in terms of the cogrowth rate, and the existence of a Følner sequence. In exploring a known method of computing the cogrowth rate using a random walk, and by analyzing which groups seem to be pathological for this algorithm, we discover new connections between these properties.
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