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-
.
Current and Recent Research Projects
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)
EC Pathfinder programme MANMADE(2007-2009): Diagnosing vulnerability, emergent phenomena, and volatility in man-made networks.
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.
MANMADE website.
Research activity and interests
Dynamical systems
- 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
Chromatic polynomials and partition functions
- Walker problems on lattices
- Chromatic functions and associated structures on directed graphs
Other collaborative Research Projects
- 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.
Publications
- a listing of publications and preprints can be found within the School lists here
Books on Dynamical Systems
Information on Introduction to Dynamical Systems (CUP), D.K. Arrowsmith and C.M. Place
Information on Dynamical Systems: Differential Equations, Maps and Chaotic Behaviour (Chapman & Hall), D.K. Arrowsmith and C.M. Place
A collage of books co-authored with Colin Place.
Some Papers and Publications
- The emerging energy Web, M. Ajmone-Marsan, D. Arrowsmith, W. Breymann, O. Fritz, M. Masera, A. Mengolini, and A. Carbone, Eur. Phys. J. Special Topics 214, 547 - 569 (2012).
- Generating functions and duality for non-crossing walks on a plane graph, D.K. Arrowsmith, F.M. Bhatti, J.W. Essam, J. Phys. A: Math. Theor. 45 (2012) 494008 (19pp) The published version at the IOP website is freely available here.
- Bose and Fermi Walk Configurations on Planar Graphs, D.K. Arrowsmith, F.M. Bhatti, J.W. Essam, J. Phys A: Math. Theor. 45 , 2012. . Currently available here
- An overview of research programmes and prospective technology in the development of more secure supply chains: The Case of Shipping Containers Report EUR 25298 (EN 2012) JRC Scientific and Policy Reports, E. Gutierrez (DG-JRC), W. van Heeswijk (DG-TAXUD), D.K. Arrowsmith (Queen Mary, University of London), EUR 25298 EN, ISBN 978-92-79-24168-0 (pdf),ISBN 978-92-79-24167-3 (print).
- Fair sharing of resources in a supply network with constraints, Rui Carvalho, Lubos Buzna, Wolfram Just, Dirk Helbing, and David K. Arrowsmith Phys. Rev. E 85, 046101 (2012) [14 pages] See preprint.
- Maximal Fermi walk configurations on the directed square lattice and standard Young Tableaux, DKA, F.M. Bhatti and J. Essam J. Phys. A: Math. Theor. 43 145206 (2010).
- Robustness of Trans-European Gas Networks: The Hot Backbone,
R. Carvalho, L. Buzna,, Flavio Bono, E. Gutierrez, W. Just, DKA. Phys. Rev. E 78, 016110 (2009)
- 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.Mondragón, 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. Mondragón, 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, DKA
Chaotic Maps for Traffic Modelling and Queueing Performance
Analysis Electronic Letters36 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.
Some Conference Presentations and Proceedings
- 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 Manmagement of Risk, La Sapienza, Rome, July 2008 .
-
MANMADE,DIAGNOSING VULNERABILITY, EMERGENT PHENOMENA, and VOLATILITY in MANMADE NETWORKS
David Arrowsmith Control and Manmagement 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. Mondrag´on, 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 and
Circuits, (Kos) May 2006 .
-
Congestion and Centrality in Data Networks, D.K. Arrowsmith and R.J. Mondragon,
International
Workshop on Complex Systems and Networks, City University of Hong
Kong, May, 2005 .
-
Effects of variations of load distribution on network performance, David Arrowsmith, Mario di Bernardo, Francesco Sorrentino, . IEEE Proceedings of Systems and
Circuits, 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 on
Mathematical Theory of Networks and Systems (MTNS2004)
Katholieke Universiteit Leuven, Belgium
July 5-9, 2004.
-
MODELLING OF TCP PACKET TRAFFIC IN A LARGE INTERACTIVE
GROWTH NETWORK, D.K. Arrowsmith and M.WoolfProc. IEEE Systems and Circuits, Vancouver, 2004 V, 477-480. .
- Special invited session: Nonlinear Dynamics for
Coding 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
Funded Vistors
Makoto Katori (Chuo University, Tokyo) visited Queen Mary (March-August 2001) and All Souls, University of Oxford (September, 2001-February, 2002).
An overview paper entitled "Flow polynomials, Schur Polynomials and Discrete Orthogonal Polynomials'', M. Katori, D.K. Arrowsmith, J.W. Essam was produced
connecting properties of friendly walkers,
Young tableaux, random matrices, and the Bender-Knuth formula.
Dr F.M. Bhatti (Lahore University of Management Sciences) visited QMUL and Professor John Essam of RHUL in in July 2009 and July 2010 under the London Mathematical Society Scheme 5.
Other publications
- 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).