David Arrowsmith

David Arrowsmith

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)

Deputy Head of School

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

Recent Publications

  • Congestion dependencies in the European gas pipeline network during crises, IEEE Proc COMPENG2014, ( Complexity in Engineering) 978-1-4799-4079-0/14, L. Buzna, R. Carvalho, F. Bono, M. Masera, D.K. Arrowsmith.
  • Resilience of natural gas networks during conflicts, crises and disruptions, PLOS | one DOI:10.1371/journal.pone.0090265, (2014) R. Carvalho, L. Buzna, F. Bono, M. Masera, D. Arrowsmith, D. Helbing.
  • Review of Resilience of natural gas networks during conflicts, crises and disruptions, Journal of Energy Security, 2014
  • Fair sharing of resources in a supply network with constraints, Phys. Rev. E 85, 046101 (2012) R. Carvalho, L. Buzna, W. Just, D Helbing, D.K. Arrowsmith.
  • 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)
  • 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).
  • 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)

    Teaching and Presentations

    I am not teaching in the academic year 2015-16

    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 I gave on INFINITY and beyond , given on 5th March, 2014 is here

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

    MSc in Network Science

    Recent National Activity

    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)

    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 Conference Presentations and Proceedings

    Some further Papers and Publications

    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

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