David Arrowsmith

My mailing address and phone numbers

Prof. David K. Arrowsmith
School of Mathematical Sciences
Queen Mary , University of London
Mile End Road, London E1 4NS, UK
email: D.K.Arrowsmith@qmul.ac.uk
Telephone: +44 020 7882 5464 (direct)
Fax: +44 020 8981 9587 (dept.)

Executive Officer (Head of School Office and Human Resources) - Mariana Carter; email:m.carter@qmul.ac.uk

HEAD of SCHOOL 2003-2011 Intranet information page

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.

EC Pathfinder programme MANMADE(2007-2009): Coordinator - David Arrowsmith

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

MANMADE website.

EPSRC WORKSHOP on COMPLEXITY, Bristol, July 2006

Lecture slides: Packet Traffic on Networks, D.K. Arrowsmith and R.J. Mondragon . 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 .

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

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.
R.J.Mondragon, J.M. Pitts, DKA Chaotic Maps for Traffic Modelling and Queueing Performance Analysis Electronic Letters36 2000, 184-186.
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.
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.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.
Chaotic maps for traffic modelling and queueing performance analysis, R.J. Mondragon, D.K. Arrowsmith, J.M. Pitts, Performance Evaluation 43 , 2001 223-240.
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.
ERCIM News Online No. 50 Special theme: erciMATHEMATICS Nonlinear Modelling of Packet Traffic July 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).
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.
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.
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.
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.
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.
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.
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 and topologies,Report 08, 2004/2005, Institut Mittag-Leffler, Stockholm
Data Traffic, Topology and Networks, D.K. Arrowsmith, R.J. Mondragon, M. Woolf, "Modelling in Complex Networks", Springer Verlag, 2005.
Some conferences
Plenary lecture at the ATCM 2002 Conference (Kuala Lumpur) Nonlinear Modelling of Packet Traffic
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.
Theme lecture at the University of Sharjah(UAE) Mathematics Day, May 8th, 2003. Modelling internet packet traffic congestion in networks using chaotic maps
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.
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. .
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.
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 .
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. .
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 .
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 .
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.
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
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.
Modelling of Critical Infrastructures, David Arrowsmith Bridging the Gaps, QMUL, June 2008 .
MANMADE,DIAGNOSING VULNERABILITY, EMERGENT PHENOMENA, and VOLATILITY in MANMADE NETWORKS David Arrowsmith Control and Manmagement of Risk, La Sapienza, Rome, July 2008 .
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 .
Modeliing Critical Infrastructures , David Arrowsmith British Applied Mathematics Colloquium, Nottingham, UK, March 2008 .

Makoto Katori (Chuo University, Tokyo) Visitor 2001

Makoto Katori visited Queen Mary (March-August 2001) and All Souls, University of Oxford (September, 2001-February, 2002). A 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.

Research activity and interests

Dynamical systems

Control of dynamical systems - parametric and external forcing to enlarge parametric resonance regions
Chaotic control techniques; global control of coupled networks using local control
Use of dynamical iteration to model packet transport in computer networks
Techniques of chaotic control for local and global congestion reduction in computer networks
Modelling and control of double impact oscillators

Chromatic polynomials and partition functions

Decompositions of the standard chromatic polynomial
Chromatic functions and associated structures on directed graphs
Knot invariants constructed from partition functions
Avalanche models on directed graphs

Other publications

The School 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!

Previous Main Administration

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)