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
E: D.K.Arrowsmith@qmul.ac.uk
T: +44 020 7882 5464 (direct)

The Royal Institution Masterclass entitled INFINITY and beyond , given on 5th March, 2014 is here

Recent 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.

    Teaching 2013-14

    I am teaching Metric Spaces(MTH6126) in Semester 5 of the Autumn Term 2013. Module information is available through the QM+ portal as I have found it problematical!

    Please see the Metric Space module page for further information. The first coursework is available here .

    My current office hours (room 312) are given here.

    Recent Activity

    Member of the EPSRC Mathematics Prioritisation Panel March, 2013

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

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

    Member of the EPSRC Strategic Advisory Team 2010-2013.

    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- .

    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.
    • 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

    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 further Papers and Publications

    Some Conference Presentations and Proceedings

    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

    Previous Main Administration

  • 12. Resilience of natural gas networks during conflicts, crises and disruptions
    Rui Carvalho, Lubos Buzna, Flavio Bono, Marcelo Masera, David Arrowsmith, Dirk Helbing
    Reviewed in MIT Technology Review (December 2013)
    Reviewed in Energy Post (January 2014)

    11. Fair sharing of resources in a supply network with constraints
    Rui Carvalho, Lubos Buzna, Wolfram Just, Dirk Helbing, David Arrowsmith
    Phys. Rev. E 85, 046101 (2012)
    Selected for the PRE Kaleidoscope (April 2012)