School of Mathematical Sciences

Queen Mary , University of London

Mile End Road, London E1 4NS, UK

E: d.k.arrowsmith@qmul.ac.uk

- Head of Group:Teaching & Scholarship Staff (2020-23).
- Head of School of Physics and Astronomy, (2016-2019).
- Deputy Head of the School of Mathematical Sciences, (2013-2015).
- Head of the School of Mathematical Sciences, (2003-2011).
- Director of Postgraduate Studies, School of Mathematical Sciences, (2001-03).
- Director of Applied Mathematics, Mathematics Research Centre, (2000-2003).
- Secretary to the University of London Mathematics Panel (1998-2001).
- Director of the Mathematics Research Centre, (1996-99)
- Director of Undergraduate Studies, School of Mathematical Sciences, (1993-96)
- Secretary to the University of London Mathematics Panel (1998-2001).

- Chair of the NE London Maths Hub (Elmhurst School), 2017-2021.
- Member of an EPSRC Programme Grant Selection Panel, 2018.
- Chair of an EPSRC CDT Prioritisation Panel, October 2017.
- Chair of an EPSRC Mathematics Prioritisation Panel, September, 2015.
- Education Secretary of the Institute of Mathematics and its Applications(IMA), January 2015-17.
- Member of the OFQUAL Mathematics Subject Benchmark Committee, 2014.
- Member of the Executive Committee of the Joint Mathematical Council, 2014-15.
- Member of the EPSRC CDT Prioritisation Panels, March, 2013.
- Chair of the EPSRC Mathematics Prioritisation Panel, December, 2012
- Member of the
**EPSRC Strategic Advisory Team**2010-2014. - Chair of the
*Heads of the Departments of Mathematical Sciences(HoDoMS)* - 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- .

- EC PATHFINDER PROGRAMME
**MANMADE (2007-2009):**Diagnosing vulnerability, emergent phenomena, and volatility in man-made networks. - PI and COORDINATOR -
**DKA.**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.

- EPSRC PDRA (2010-2013): RESILIENCE, ADAPTABILITY and VULNERABILITY of COMPLEX ENERGY NETWORKS RAVEN. PI -
**DKA**PR - R. Carvalho. Co-Is: W. Just (Mathematical Sciences,QMUL), R. Mondragon (Electronic Engineering, QMUL) . EPSRC (2011-2012): Data support for RAVEN project from. PI -*impactQM***DKA**,**DKA**PR - R. Carvalho. Co-Is: W. Just (Mathematical Sciences,QMUL), R. Mondragon (Electronic Engineering, QMUL) . - EPSRC PDRA (2002-05): SOURCES OF LONG RANGE DEPENDENCE IN INTERNET TRAFFIC and THEIR RELATIVE IMPORTANCE IN NETWORKS
PI -
**DKA**, Co-I - M. Dodson (York), J.M. Pitts (Electrical Engineering, QMUL). - BRITISH TELECOMS CASE SUPPORT (joint with Elec.Eng.QMUL). Funding for 2 research students
*Web Caching*and*Dynamical Modelling of Packet Traffic* - MINISTRY of DEFENCE(1990-19993): PhD funding for project
*Control of Cellular Automata*. - EPSRC PDRA(1994-97): CONTROL OF ENTRAINMENT, PI-
**DKA**PDRA ( Dr A. Lansbury (UCL,Brunel), Dr R. Mondragon(QMUL). - Coordinator for an
*INTAS,*proposal (1999)*The Bogdanov map and weakly dissipative KAM Theory*involving the University of Grenada (JHC Cartwright), Moscow State University (RI Bogdanov), QMUL(**DKA**) and UMIST (PA Glendinning). - EU JOINT RESEARCH CENTRE(Ispra) ITALY - funded PhD Research Student. ELSA Structural Mechanics Laboratory, Ispra, Italy.
- Visit to EC Joint Research Centre, Ispra, Italy (October 1st - Dec 16th 2011).

- EPSRC PDRA(Eng) (1998-2001) CHAOTIC CONTROL FOR FAST RESOURCE MANAGEMENT, PI - J.M. Pitts(Elec. Eng.,QMUL), Co-I:
**DKA**. - HEFCE (2006-2009)
**More Maths Grads**- University Hubs - Coventry, Leeds, QMUL PI - Michael Grove (B'ham). Co-I (QMUL)-**DKA****DKA**Final Report here.

- Information on Introduction to Dynamical Systems (CUP),
**DKA**and C.M. Place 1990. (Also translated into German). - Dynamische Systeme: Mathematische Grundlagen und Anwendungen,
**DKA**and C.M. Place, Spektrum Academischer VERlag Gmb H (Heidelberg), 1994. - Information on Dynamical Systems: Differential Equations, Maps and Chaotic Behaviour (Chapman & Hall),
**DKA**and C.M. Place, 1992. - Information on Ordinary Differential Equations: A qualitative approach with applications (Chapman & Hall),
**DKA**and C.M. Place, 1982. (Also translated into Russian). - A collage of books co-authored with Colin Place.

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

- Dynamical systems
- Normal Forms
- Bifurcation theory

- 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

- Applied Dynamical Systems (ch. 6)
*LTCC Advanced Mathematics SeriesDynamical and Complex Systems, pp. 189-219*(2017) - 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,
**DKA**. - 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,
**DKA**, D. Helbing. - Review of Resilience of natural gas networks during conflicts, crises and disruptions, Journal of Energy Security, 2014
- Acute Traumatic Coagulopathy has multiple important patterns of coagulation system derangement. Raza I, Khan S, Rourke C, Davenport R, Platton S, Carvalho R, Arrowsmith D, Brohi K.
*SHOCK*.**40**34 - 34 (2013). - Fair sharing of resources in a supply network with constraints, Phys. Rev. E
**85**, 046101 (2012) R. Carvalho, L. Buzna, W. Just, D Helbing,**DKA**. - The emerging energy Web, M. Ajmone-Marsan,
**DKA**, 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,
**DKA**, F.M. Bhatti, J.W. Essam,*J. Phys. A: Math. Theor.***45**(2012) 494008 (19pp) - Bose and Fermi Walk Configurations on Planar Graphs,
**DKA**, 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),
**DKA**(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)

- Dynamical Systems (MTH744), Semester A;. (2022-23)
- Dynamical Systems (MTH744), Semester A. (2021-22)
- Dynamical Systems (MTH744), Semester A., Communicating and Teaching Mathematics (MTH6110), Semester B (2020-21)
- Dynamical Systems (MTH744), Semester B. (2019-20)
- Metric Spaces(MTH6126), Semester A (2015-16).
- Metric Spaces(MTH6126), Semester A (2014-15).
- Metric Spaces(MTH6126), Semester A (2013-14).
- MTH744 Dynamical Systems Lecture Notes (Autumn 2022) are here

- Principal Fellowship of the HEA (submission failed).

- Resilience of Infrastructure Networks,
**DKA***George Boole Bicentenary Conference, University College Cork, (August 2015)*. -
*Royal Institution Masterclass -*, given on 5th March, 2014 is here**INFINITY and beyond** **EPSRC/DST Interaction Meeting in Applied Mathematics Sciences Research Challenges (Edinburgh, 2012),***UK Mathematical Sciences Research Landscape with Energy relevance,***DKA**.*INFRASTRUCTURE NETWORKS***DKA***University of Catania, 2012*.*INFRASTRUCTURE NETWORKS***DKA***Manchester, May 2010*.*INFRASTRUCTURE NETWORKS***DKA***IWCSN, Bristol June 2009*.*Critical infrastructures in European Power Structures ,***DKA***British Applied Mathematics Colloquium, Nottingham, UK, April 2009**Spectral and topological analysis of weighted networks ,***DKA**, 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***DKA***Control and Management of Risk, La Sapienza, Rome, July 2008*.*Modelling of Critical Infrastructures,***DKA***Bridging the Gaps, QMUL, June 2008**Optimal Networks, Congestion and Braess Paradox***DKA**and R.J. Mondragon,*IWCSN - 2007 Guilin, CHINA*.*MANMADE***DKA**,**DKA***, F.Bono**, E. Gutierrez*,***NEST Pathfinder**CRP Forum, European Conference on Complex Systems 2007 (ECCS '07), Dresden 6th October, 2007*MANMADE***DKA**,.**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 ,*,**DKA**and R.J. Mondragon . These notes are an expanded version of Data Traffic, Topology and Networks**DKA**, 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,
**DKA**and R.J. Mondragon . - Communication models with distributed transmission rates and buffer sizes,
**DKA**, Mario di Bernardo, Francesco Sorrentino, .*IEEE Proceedings of Systems andCircuits, (Kos) May 2006*. - Congestion and Centrality in Data Networks,
**DKA**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,
**DKA**, 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,
**DKA**, 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,
**DKA**, 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 INTERACTIVE GROWTH NETWORK,
**DKA**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,**DKA**, 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 ,
**DKA**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*. **DKA**, 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,
**DKA**, 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
**DKA**, Control of a double impacting mechanical oscillator using displacement feedback, ,*International Journal of Bifurcation and Chaos,***14**No. 9 (2004), 3095-3113. - M. Barenco,
**DKA**, 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
**DKA**, 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,
**DKA**),*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,
**DKA**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,
**DKA**, 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.

- 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,**was produced connecting properties of friendly walkers, Young tableaux, random matrices, and the Bender-Knuth formula.**DKA**, J.W. Essam - Dr F.M. Bhatti (Lahore University of Management Sciences) visited QMUL (July 2009 and 2010) and Professor J.W. Essam (RHUL), under the London Mathematical Society (Scheme 5).

- London Taught Course Centre (LTCC) 2009, - (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!**