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Research

# Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.

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## Events for 6 December 2017

### 'Hell, Heaven and Hope. A journey through life and the afterlife with Dante', Exhibition curated by Dr Annalisa Cipollone

9:00am to 11:55pm, Palace Green Library, Durham University

### Online Information Session for prospective Masters students

10:00am to 12:00pm

### Work in Progress Seminar: Dr Viktoria Ivleva and Professor Jonathan Long - The Politics of Visibility

12:00pm to 1:00pm, ER153, Elvet Riverside I, Durham University

1:00pm, E245

### : AHRG Research Group Meetings

1:00pm, D104, Anthropology Seminar Room

### Research Seminar: Who counts as a widening participation student?

1:00pm to 2:00pm, ED 134, Prof. Stephen Gorard and Dr. Nadia Siddiqui

### Chris Hughes: Probabilistic constructions in random matrix theory

1:15pm, CG83

I will present an explicit probabilistic construction of Haar measure on the unitary group, and show how that can give a different way to understand characteristic polynomials of random unitary matrices. The motivation for studying characteristic polynomials comes from number theory, as it's believed they model the Riemann zeta function. This work was joint with Paul Bourgade, Ashkan Nikeghbali and Marc Yor.

### Dr Leah Findlay: "Primate crop raiding deterrent methods on commercial farms in South Africa"

2:00pm, D104, Anthropology Seminar Room

2:00pm, E245

2:00pm, CG60

### Seva Shneer: Stability conditions for a discrete-time decentralised medium access algorithm

2:15pm, CG83

We consider a stochastic queueing system modelling the behaviour of a wireless network with nodes employing a discrete-time version of the standard decentralised medium access algorithm. The system is unsaturated—each node receives an exogenous flow of packets at the rate $\lambda$ packets per time slot. Each packet takes one slot to transmit, but neighboring nodes cannot transmit simultaneously. The algorithm we study is standard in that a node with empty queue does not compete for medium access and the access procedure by a node does not depend on its queue length, as long as it is non-zero. Two system topologies are considered, with nodes arranged in a circle and in a line. We prove that, for either topology, the system is stochastically stable under condition $\lambda < 2/5$. This result is intuitive for the circle topology as the throughput each node receives in a saturated system (with infinite queues) is equal to the so-called parking constant, which is larger than 2/5. (The latter fact, however, does not help to prove our result.) The result is not intuitive at all for the line topology as in a saturated system some nodes receive a throughput lower than 2/5. This is joint work with Sasha Stolyar (UIUC).

### : SARG Research Group Meeting

3:00pm, D104, Anthropology Seminar Room

3:30pm, TBA

### Dr Helmuts Azacis (Cardiff University): Repeated Implementation with Overlapping Generations of Agents

3:30pm to 5:00pm, Room 224, Durham University Business School, Mill Hill Lane, Durham

### Tom Friedetzky: Tweaking randomised load balancing approaches

3:45pm, CG83

We will be discussing several load balancing mechanisms based on random allocation protocols and random walks. Our focus will be on making standard models more applicable to load balancing problems, e.g., by allowing to model tasks sizes and processing speeds, or by attempting to "parallelise" inherently sequential-seeming protocols. This will be more of an overview talk light on proofs (though main ideas and techniques will be hinted at).

The many authors involved in the various pieces of work will be duly mentioned during the talk.

### Roger Peverelli: Reinventing Customer Engagement

4:00pm to 5:15pm, Room 403, Durham University Business School

### Dr Karen Milek: Reindeer Residues and Herders’ Huts: Geoarchaeological approaches to the origins of northern pastoralism

4:00pm, Dawson Building, Room 210

### Canon Dr Peter Sedgwick: The Origins of Anglican Moral Theology, 1590-1680: Perkins, Hooker, Sanderson and Taylor

4:00pm, Seminar Room C (D/TH107), Dept. of Theology & Religion, Abbey House, DH1 3RS, Durham

Many random processes arising in applications exhibit a range of possible behaviours depending upon the values of certain key factors. Investigating critical behaviour for such systems leads to interesting and challenging mathematics. Much progress has been made over the years using a variety of techniques. This presentation will give a brief introduction to the asymptotic behaviour of the centre of mass of a $d$-dimensional random walk $S_n$, which is defined by $G_n = n^{-1} \sum_{i=1}^n S_i$. By considering the local central limit theorem, we investigate the almost-sure asymptotic behaviour of the centre of mass process. We obtain a recurrence result in one dimension under minor moments assumptions; in the case of simple symmetric random walk the fact that Gn returns infinitely often to a neighbourhood of the origin is due to Grill in 1988. We also obtain the transience result for dimensions greater than one. In particular, we give a diffusive rate of escape; again in the case of simple symmetric random walk the result is due to Grill. This is joint work with Andrew Wade (Durham).