
We welcome a new member of academic staff, Dr Dalia Terhesiu, who will be joining us from Vienna in January 2016. Currently there is a fully funded (for UK students) PhD studentship available to work at the Centre for Systems, Dynamics and Control with Dr Terhesiu in the area of:
Statistical properties of dynamical systems with infinite measure.
Many such systems characterized by regular variation satisfy appropriate versions of the central limit theorem. The aim of this project is to study analogous results in the absence of regular variation.
The deadline for applications is 4th January 2016, and more details are available from: http://www.exeter.ac.uk/studying/funding/award/?id=2035
There are currently a number of PhD studentships open that are supervised by members of academic staff within the Centre:
EPSRC funded PhD in Mathematics: Statistical properties of dynamical systems with infinite measure 
£14,057 per annum plus UK/EU fees for eligible students (201516 rates) 
Mon 4th Jan 2016 
Regarding statistical properties of dynamical systems with infinite measure, the aim of this project is to focus firstly on dynamical systems that behave like Markov chains and study analogous results in the absence of regular variation. 
EPSRC funded PhD in Mathematics: Stress and Epilepsy: The role of the HPA axis in modulating brain network dynamics 
£14,057 per annum plus UK/EU fees for eligible students (201516 rates) 
Mon 4th Jan 2016 
Based within the EPSRC Centre for Predictive Modelling in Healthcare, you will work on an interdisciplinary project that aims to better understand the interplay between stress and epilepsy. 
EPSRC funded PhD in Mathematics: Modelling Gait in People with Parkinsons Disease. 
£14,057 per annum plus UK/EU fees for eligible students (201516 rates) 
Mon 4th Jan 2016 
Based within the EPSRC Centre for Predictive Modelling in Healthcare, a £2M initiative bringing together mathematicians, statisticians and clinicians, you will work on a project aiming to develop a datadriven mathematical modeling framework in order to study gait impairments in patients with Parkinson’s. 
EPSRC funded PhD in Mathematics: Predictive models for epilepsy surgery 
£14,057 per annum plus UK/EU fees for eligible students (201516 rates) 
Mon 4th Jan 2016 
Using dynamical systems theory, you will develop and study mathematical models of brain networks to understand why seizures emerge in people with epilepsy and how treatment perturbations to these networks may alleviate seizures. 
EPSRC funded PhD in Mathmatics: Mathematical modelling of neuronal activity in the nucleus reuniens: a thalamic region contributing to mammalian cognitive processing. 
£14,057 per annum plus UK/EU fees for eligible students (201516 rates) 
Mon 4th Jan 2016 
Computational modelling of the nucleus reuniens (NRe): a thalamic area contributing to mammalian cognitive processing. This project will combine mathematical analysis, numerical techniques and evolutionary optimisation to build biophysical models of neural excitability in the NRe. 
The David Rees Distinguished Visiting Fellowship scheme enables mathematicians of international renown to spend an extended period of time at the University of Exeter to enable them to contribute to the University’s academic and intellectual activities. If you are interested in visiting Exeter for a period of up to one month, do please look at the following link for more details and how to apply.
http://emps.exeter.ac.uk/mathematics/research/davidreesfellowship/
22nd October 2015, CEMPS – University of Exeter, Organiser: Ana Rodrigues
Morning session (in Harrison Building, room HAR 171)
 11:30 – 12:30 Paulo Varandas (UFBA, Brasil)
 12:30 – 13:30 Thomas Jordan (Bristol, UK)
Afternoon session (in Laver Building, room Laver 212)
 15:30 – 16:30 Peter Ashwin (Exeter, UK)
 16:30 – 17:30 Yiwei Zhang (Exeter, UK)
Abstracts
Paulo Varandas – Topological methods for problems in ergodic theory
Many chaotic dynamical systems are ‘rich’ from the topological viewpoint. This richness can be expressed by the fact that pseudoorbits are shadowed by true orbits for the dynamics (shadowing property) or that pieces of orbits are well approximated by a orbit (specification property). These properties are satisfied by uniformly hyperbolic dynamics and some weaker versions have been established for wide classes of nonuniformly hyperbolic dynamical systems. In this talk we shall recall some of these weaker notions of shadowing and specification and describe how these can be used as very usefull tools in some problems arising in ergodic theory.
Thomas Jordan – Minkowski’s question mark function
Minkowski’s question mark function is a homeomprphism from [0,1] to itself which maps quadratic irrationals into the rationals. We’ll show how to view this function as a conjugacy between dynamical systems and as an invariant measure for the Gauss map (x\to 1/x\mod 1). We’ll then outline how a combination of large deviations and methods from a paper of Kaufman can be used to show the FourierStieltjes transform of this function decays polynomially and give a few consequences of this fact. (Joint work with Tuomas Sahlsten).
Peter Ashwin – Piecewise isometric dynamics; some puzzles and problems
I will introduce and discuss some aspects of the dynamics of piecewise isometries (PWIs). These are iterated maps that are geometrically very simple (just isometries) on a number of “atoms” – convex regions that form a partition of phase space. They can be seen generalizations of interval exchange transformations to higher dimensions. PWis may arise in a number of applications but are hard to understand using standard dynamical tools based around hyperbolicity. I will outline a few results and some unsolved problems related to the dynamics, geometry and measure of the various invariant subsets that arise for PWIs in two dimensions.
Yiwei Zhang – A glimpse of thermodynamics formalism for interval maps
I will take a short survey on the basic setting of thermodynamics formalism for interval maps. In particular, I will introduce the standard transfer operator method in the uniformly hyperbolic maps setting, and explain how the spectral structure of this operator links with the existence/uniqueness of equilibrium state and its exponential decay of correlation. I will also explain how to extend this method for the nonuniformly hyperbolic interval maps.
Program updates & changes
Late changes to programme (pdf for download)
We have organised a series of informal lectures about topics Mathematical Biology for the summer term 2015. More details of time and places are on
http://blogs.exeter.ac.uk/csdc/activities/informalmathbiologycourse/
Please email Harun Baldemir if you have any queries or suggestions about this course.
Two funded PhD positions are available as part of the ITN “Critical Transitions in Complex Systems” (a EU Horizon 2020 Innovative Training Network). The posts last for 36 months.
Application closing date is 28 April 2015.
Topics:
Note the eligibility criteria for EU Innovative Training Network positions. Usually UK residents are excluded, check http://ec.europa.eu/research/participants/portal/doc/call/h2020/h2020mscaitn2015/1622613itn_2015__guide_for_applicants_v1_en.pdf#page=13 for details.
Ummu Atiqah MohdRoslan has just passed the viva for her PhD entitled “Stability index for riddled basins of attraction with applications to skew product systems”. Well done Atiqah!
Gerhard Keller from Erlangen http://www.min.math.fau.de/staff/kellergerhard/profdrgerhardkeller/ visited for a few days at the end of September 2014 to give a seminar to the group. His visit was supported by an LMS visitor grant – thanks to the LMS!
10 members of the Systems Biomedicine Group ventured out into Dartmoor, to the Two Bridges Hotel, for their first research retreat. During the first morning members took turn to receive updates from each other’s research teams. Then after lunch, PDRAs broke out, with leading Communications and Training expert John Oley, to focus on interview sills training, whilst PIs brain stormed ideas for new research grants and publications. An enjoyable dinner gave members the opportunity to get to know each other informally, before regrouping on Day 2. PDRAs focussed on communicating within multidisciplinary teams, whilst PIs built up outlines of grants, building on the discussions of day 1. After lunch, a short walk into Dartmoor followed by discussions on organising events associated with a recently awarded GW4 Building Communities award to Marc Goodfellow brought proceedings to a close.
First group retreat at the Two Bridges Hotel (from L to R) George Petkov, Helmut Schmidt, Rita Gupta, Ben Wareham, Jamie Walker, Ozgur Akman, Piotr Slowinski, Krasi TsanevaAtanasova, John Terry

