School of Mathematical Sciences

Queen Mary , University of London

Mile End Road, London E1 4NS, UK

E: D.K.Arrowsmith@qmul.ac.uk

T: +44 020 7882 5464 (direct)

Deputy Head of School

My current office hours (communal room 201) are given here.

I taught ** Metric Spaces(MTH6126) ** in Semester 5 of the Autumn Term 2013. Module information is available through the * QM+* portal.

The ** Royal Institution Masterclass **

My recent interests have been in complex infrastructure networks and the School now has an

Education Secretary of the Institute of Mathematics and its Applications January 2015-

Member of the OFQUAL Mathematics Subject Benchmark Committee, 2014.

Member of the Executive Committee of the Joint Mathematical Council 2014-.

Member of the EPSRC Mathematics Prioritisation Panel March, 2013.

Chair of the EPSRC Mathematics Prioritisation Panel 6-7 December, 2012

Member of the ** EPSRC Strategic Advisory Team** 2010-2014.

Chair of the ** Heads of the Departments of Mathematical Sciences(HoDoMS)** 2010-2014.

HoDoMS representative on the LMS Research Committee 2011-2014.

Member of the ** IMA Higher Education Service Area ((HEdSA), ** 2011-2014. a Committee of the Institute of Mathematics and its Applications that works to promote mathematics education at tertiary level.

Fellow of the ** Institute of Mathematics and its Applications ** 2011- .

Visit to EC Joint Research Centre, Ispra, Italy (October 1st - Dec 16th 2011)

EPSRC (2010-2013): Resilience, Adaptability and Vulnerability of complex Energy Networks RAVEN.

Principal Investigator - David Arrowsmith. Principal Researcher - Dr Rui Carvalho. Co-investigators: Dr Wolfram Just (Mathematical Sciences), Dr Raul Mondragon (Electronic Engineering)

EPSRC (2011-2012): Data support for RAVEN project from ** impactQM **.

Principal Investigator - David Arrowsmith. Principal Researcher - Dr Rui Carvalho. Co-investigators: Dr Wolfram Just (Mathematical Sciences), Dr Raul Mondragon (Electronic Engineering)

Coordinator - David Arrowsmith

** Collaborating institutions**: Collegium Budapest; Macedonian Academy of Sciences and Arts, Skopje; Queen Mary, University of London, Universita Carlo Cattaneo, Castellanza; Joint Research Centre, Ispra.

- Networks
- Infrastructure networks
- interconnectedness
- structure and resilience

- Grid dynamics
- source sink flows
- introduction of renewable sources
- pricing and shaping of demand

- Control of dynamical systems
- parametric and external forcing
- use of dynamical iteration to model packet transport in computer networks
- modelling and control of double impact oscillators

- Walker problems on lattices
- Chromatic functions and associated structures on directed graphs

- SOURCES OF LONG RANGE DEPENDENCE IN INTERNET TRAFFIC and THEIR RELATIVE IMPORTANCE IN NETWORKS (with Prof. J.M. Pitts, Electrical Engineering, Queen Mary. An EPSRC funded project(April, 2002), joint with Prof M. Dodson, University of York.
- PACKET TRAFFIC IN NETWORKS JOINT RESEARCH GROUP
- Modelling of Packet Traffic and Control of Networks EPSRC(Eng), 1998-2001 (with Prof. Jonathan M. Pitts, Electronic Engineering QMUL (Investigators: Drs Oscar Bandtlow and Matthew Woolf and Associate: Dr Raul Mondragon)
- CASE support (with Electronic Engineering, QMUL) for two research students Control of Packet Traffic (DKA), Web Caching (Dr Basia Bogacka, Mathematics) and Dynamical Modelling of Packet Traffic (Dr J. Pitts, Telecoms Group,QMUL)
- Joint supervision (with Franco Vivaldi) of postgraduate study in modelling the effect of earthquakes on large structures using using impact oscillators. The student is a research worker at the ELSA Structural Mechanics Laboratory, Ispra, Italy.
- Coordinator for an INTAS proposal (submitted August 1999) on
*The Bogdanov map and weakly dissipative KAM Theory*involving the University of Grenada (JHC Cartwright), Moscow State University (RI Bogdanov), QMUL(DK Arrowsmith) and UMIST (PA Glendinning). - Control of Cellular Automata, DRA, 1990-1993, Investigator: Dr Rory Dow
- Control of Entrainment, EPSRC,1994-1997 (with Dr A. Lansbury, Department of Physics, University of Brunel). Investigator: Dr Raul Mondragon.

- a listing of publications and preprints can be found within the School lists here

- Resilience of Infrastructure Networks, David Arrowsmith
*George Boole Bicentenary Conference, University College Cork, (August 2015)*. - INFRASTRUCTURE NETWORKS David Arrowsmith
*University of Catania, 2012*. - INFRASTRUCTURE NETWORKS David Arrowsmith
*Manchester May 2010*. - INFRASTRUCTURE NETWORKS David Arrowsmith
*IWCSN, Bristol June 2009*. - Critical infrastructures in European Power Structures , David Arrowsmith
*British Applied Mathematics Colloquium, Nottingham, UK, April 2009* - Spectral and topological analysis of weighted networks , David Arrowsmith, F. Bono, E. Gutierrez, K. Poljansek
*Control and Management of Risk, La Sapienza, Rome, July 2008*. - MANMADE,
*DIAGNOSING VULNERABILITY, EMERGENT PHENOMENA, and VOLATILITY in MANMADE NETWORKS*David Arrowsmith*Control and Management of Risk, La Sapienza, Rome, July 2008*. - Modelling of Critical Infrastructures, David Arrowsmith
*Bridging the Gaps, QMUL, June 2008*. - Modelling of Critical Infrastructures, David Arrowsmith
*Bridging the Gaps, QMUL, June 2008* - Optimal Networks, Congestion and Braess Paradox D.K. Arrowsmith and R.J. Mondragon,
*IWCSN - 2007 Guilin, CHINA*. - MANMADE D.K. Arrowsmith, D.K. Arrowsmith*, F.Bono**, E. Gutierrez
*,***NEST Pathfinder**CRP Forum, European Conference on Complex Systems 2007 (ECCS '07), Dresden 6th October, 2007 - MANMADE D.K. Arrowsmith,
.**NEST Pathfinder**ECCS06 Satellite Workshops, European Conference on Complex Systems 2006 (ECCS '06), Said Business School, University of Oxford 25-29 September 2006 *Background lecture notes , D.K. Arrowsmith and R.J. Mondragon . These notes are an expanded version of Data Traffic, Topology and Networks*, D.K. Arrowsmith, R.J. Mondragon and M. Woolf,*"Modelling in Complex Networks",*.*eds Vattay and Kocarev*Springer Verlag, 2005, 127-158- EPSRC WORKSHOP on COMPLEXITY, Bristol, July 2006. Lecture slides: Packet Traffic on Networks, D.K. Arrowsmith and R.J. Mondragon .
- Communication models with distributed transmission rates and buffer sizes, David Arrowsmith, Mario di Bernardo, Francesco Sorrentino, .
*IEEE Proceedings of Systems andCircuits, (Kos) May 2006*. - Congestion and Centrality in Data Networks, D.K. Arrowsmith and R.J. Mondragon,
*InternationalWorkshop on Complex Systems and Networks, City University of HongKong, May, 2005*. - Effects of variations of load distribution on network performance, David Arrowsmith, Mario di Bernardo, Francesco Sorrentino, .
*IEEE Proceedings of Systems andCircuits, Kobe} May 2005, 3773-3776.*. - The statistics of intermittency maps and dynamical modelling of packet traffic networks, D.K. Arrowsmith , M. Barenco, R.J. Mondragon, M. Woolf
*Conference-Nonlinear Dynamics and Complexity in Information and Communication Technology, University of Bologna, September 6-8, 2004*. - The statistics of intermittency maps and dynamical modelling of networks, D.K. Arrowsmith , M. Barenco, R.J. Mondragon, M. Woolf
*Sixteenth International Symposium onMathematical Theory of Networks and Systems (MTNS2004)Katholieke Universiteit Leuven, BelgiumJuly 5-9, 2004*. - MODELLING OF TCP PACKET TRAFFIC IN A LARGE INTERACTIVEGROWTH NETWORK, D.K. Arrowsmith and M.Woolf
*Proc. IEEE Systems and Circuits, Vancouver, 2004*.**V**, 477-480. - Special invited session:
**Nonlinear Dynamics forCoding Theory and Network Traffic**in the IEEE Proceedings of Systems and Circuits (Bangkok, May, 2003)PAPER: INTERNET PACKET TRAFFIC CONGESTION, D.K. Arrowsmith, R.J. Mondragon, J.M.Pitts, M. Woolf**Vol 3**pp746-749, and PRESENTATION: INTERNET PACKET TRAFFIC CONGESTION. - Theme lecture at the University of Sharjah(UAE) Mathematics Day, May 8th, 2003. Modelling internet packet traffic congestion in networks using chaotic maps
- Conference paper for the ATCM 2002 Conference (Kuala Lumpur) Nonlinear Modelling of Packet Traffic , D.K. Arrowsmith and M.Woolf, Proc. 7th Asian Tech. Conf. in Mathematics, 34-43, 2002.
- Plenary lecture at the ATCM 2002 Conference (Kuala Lumpur) Nonlinear Modelling of Packet Traffic

- Time series analysis and long range correlations of Nordic spot electricity market data H. Erzgraber, F. Strozzi, J-M Zaldivar, H Touchette, E. Gutierrez, DKA, Physica A 2008
**387**, Issue 26, p. 6567-6574. PHYSA11614 - Queues, Long-range Dependent Traffic and Non-linear Maps , Raul J. Mondragon (University of London), DKA (University of London) Bologna, 100055 NOLTA 2006.
- Data Traffic, Topology and Networks, DKA, R.J. Mondragon, M. Woolf,
*"Modelling in Complex Networks", Springer Verlag, 2005*. - D.K. Arrowsmith, R.J. Mondragon, J.M. Pitts and M. Woolf, Phase transitions in Packet Traffic on Regular Networks:a comparison of source types and topologies,
*Report 08, 2004/2005, Institut Mittag-Leffler, Stockholm* - M. Woolf, D.K. Arrowsmith, S. Zhou, R.J. Mondragon and J.M. Pitts, Dynamical Modelling of TCP Packet Traffic on Scale-Free Networks,
*Report 07, 2004/2005, Institut Mittag-Leffler, Stockholm*. - The Encyclopedia of Nonlinear Science (editor Alwyn Scott, Routledge, 2004) provides complete coverage at the introductory level of the field of nonlinear science, from intuitive descriptions to mathematical concepts over a wide range of subject matters. I have contributions on topology and symbolic dynamics.
- E. Gutierrez and D.K. Arrowsmith, Control of a double impacting mechanical oscillator using displacement feedback, ,
*International Journal of Bifurcation and Chaos,***14**No. 9 (2004), 3095-3113. - M. Barenco, D.K. Arrowsmith, The autocorrelation of double intermittency maps and the simulation of computer packet traffic ,
*DYNAMICAL SYSTEMS*,**19**(1) 2004, 61-74. - M. Woolf, DKA, R.J. Mondragon and J.M. Pitts, Optimization and phase transitions in a chaotic model of data traffic,
*Phys Rev E***66**(4) 046106, 2002. See also Supplementary Figures. - R.J.Mondragon, J.M. Pitts and D.K. Arrowsmith, Minimising end-to-end delays in the presence of self-similar traffic,
*XVIII World Telecommunications Congress (Paris) ,*September 2002. - End-to-end performance in real time IP networks with self-similar behaviour, J.M. Pitts, J.A. Schormans, M. Woolf, R.J. Mondragon, D.K. Arrowsmith),
*IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002, Orlando, USA*(invited paper). - ERCIM News Online No. 50
**Special theme: erciMATHEMATICS**Nonlinear Modelling of Packet Traffic July 2002. - Controlling self-similar traffic and shaping techniques, R..J. Mondragon, D.K. Arrowsmith and J.M. Pitts),
*Nonlinear Control in the Year 2000, Lecture Notes in Control and Information Sciences***259**, Springer-Verlag(Berlin), 2001, 2 149-61. - Chaotic maps for traffic modelling and queueing performance analysis, R.J. Mondragon, D.K. Arrowsmith, J.M. Pitts,
*Performance Evaluation***43**, 2001 223-240. - R.J. Mondragon, DKA, J.M. Pitts, Chaotic Maps for traffic modelling and queueing performance analysis,
*Performance Evaluation***43**(2), 2001, 223-240. - Traffic Modelling and Queueing Performance using Chaotic Maps,
*Proc. Nonlinear Dynamics of Electronics (eds Setti et al)*, World Sci. 2000, 56-60. - C.M. Place, DKA, Control of Transient Chaos in Tent Maps near Crisis, I Fixed points, Phys Rev E abstract
*Phys Rev E*,**61**(2), 2000, 1357-1368. - C.M. Place, DKA, Control of Transient Chaos in Tent Maps near Crisis, II Periodic Orbits, Phys Rev E abstract
*Phys Rev E*,**61**(2), 2000, 1369-1381. - R. Carretero-Gonz\'alez, F. Vivaldi, DKA One-dimensional dynamics for travelling fronts in coupled map lattices and Phys Rev E abstract
*Phys Rev E*,**61**(2), 2000, 1329-1336. - R.J.Mondragon, J.M. Pitts, DKAChaotic Maps for Traffic Modelling and Queueing Performance Analysis
*Electronic Letters***36**2000, 184-186. - J.W. Essam, DKA, Chromatic polynomials and mod-q flows on Directed Graphs and Their Applications
*Proceedings, Centre de Researches Mathematiques , Montreal,***23**(12), 1999, 1-20.

## London Taught Course Centre 2009, LMS, Russell Square - Module in APPLIED DYNAMICAL SYSTEMS

Lecture notes for classes 1-5 on Basic Dynamical Systems: Intermittency and Auto-correlation.

- The Applied mathematics publication lists are here.
- If you prefer something a little more congenial, try PURPLE GOLD: Niche Grape Growing Networks in Orange, an M.Sc. Thesis by Matthew Arrowsmith, University of Sydney, 2002!

- Director of Undergraduate Studies, School of Mathematical Sciences, QMUL (1993-96)
- Director of the Mathematics Research Centre, QMUL (1996-99)
- Secretary to the University of London Mathematics Panel (1998-2001)
- Director of Applied Mathematics, Mathematics Research Centre, QMUL (2000-2003)
- Director of Postgraduate Studies, School of Mathematical Sciences, QMUL (2001-03)
- Head of the School of Mathematical Sciences, QMUL (2003-2011).