The Dynamical Systems and Statistical Physics Group within the School of Mathematical Sciences has a broad range of research interests in the area of statistical mechanics as applied to a variety of complex systems, and in the mathematical foundations of dynamical systems theory. Particular emphasis is on non-equilibrium processes, stochastic modelling, ergodic theory, chaotic and nonlinear behaviour, and interdisciplinary applications. The group consists of 10 permanent staff members (listed as faculty members below) together with several postdocs and PhD students. The Group has numerous collaborations and links with other groups in the department. Some of the colleagues with strong interest in the activities of the group are listed under affiliated faculty. For the research interests of group members please consult the People section.
Research grant funding
The group has been very successful in getting external research grant funding, for a complete list see the section Collaborations and Projects on the left. New major grants obtained very recently:
- Nash equilibria for load balancing in networked power systems (Christian Beck, Vito Latora). EPSRC, April 2016 - March 2019, value 497K
Some keywords summarizing our research expertise
anomalous transport, arithmetic dynamics, axions, chaos, correlation decay, coupled map lattices, diffusion constants, electricity networks, enumerative combinatorics, ergodic optimization, floods, fluctuation relations, foraging animals, fractals and multifractals, generalized entropies, invariant measures, Josephson junctions, Lagrangian turbulence, Langevin equation, large deviation theory, Monte Carlo algorithms, non-Markovian exclusion process, particle packings, piecewise isometries, polymers, processes with memory, quantum turbulence, random matrices, stochastic modelling in finance, superstatistics, symbolic dynamics, thermodynamic formalism, transfer operators, travel behaviour of people, zero-range process
The members of the group publish about 20-40 papers each year, a detailed list of recent publications (2013-2017) can be found at this link. Publications earlier than 2013 are listed here. In total, the published papers and books of the group members have received more than 20000 citations. Our group publishes both in high-quality mathematical journals such as Ergodic Theory Dyn. Syst. or Nonlinearity as well as in high-impact letter journals addressing a more general audience.
Some recent highlights of our more applied interdisciplinary research published in high-impact journals:
- C. Beck, Cosmological flux noise and measured noise power spectra in SQUIDs, Sci. Rep. 6, 28275 (2016)
- C. Joyner et al., Microwave realization of the Gaussian Symplectic Ensemble, Phys. Rev. Lett. 117, 064101 (2016)
- W. Just et al., Synchronization of heterogeneous oscillators by noninvasive time-delayed cross coupling, Phys. Rev. Lett. 115, 194101 (2015)
- A.Cairoli and A. Baule, Anomalous processes with general waiting times, Phys.Rev.Lett. 115, 110601 (2015)
- A. Baule et al., Mean field theory of random close packings of axisymmetric particles, Nature Commun. 4, 1294 (2013)
- C. Beck, Possible resonance effect of axionic dark matter in Josephson junctions, Phys. Rev. Lett. 111, 231801 (2013)
- R. Klages et al., Spatiotemporal dynamics of bumblebees foraging under predation risk, Phys. Rev. Lett. 108, 098103 (2012)
The group has a strong network of international contacts and active collaborations, with scientists from the Max Planck Institute for Physics of Complex Systems Dresden, TU Berlin, Univ of Austin Texas, KFA Juelich, Rockefeller University New York, City College New York, New York University, Univ Melbourne, McGill University Montreal, Stellenbosch, Saarbruecken Univ, UNSW Sydney, CBPF Rio de Janeiro, Paris-Sud (Orsay), Vienna Univ, and more.
The Dynamical Systems and Statistical Physics Group provides a forum for interaction and discussion at the current forefront of research. There is a very active weekly seminar series under the heading Complex Systems Seminar, covering topics in Dynamical Systems, Statistical Physics, and Complex Networks. This is hold jointly with the Complex Systems and Networks Group. In fact both groups have overlapping research interests and together form one of the largest groups in the UK working on statistical mechanics aspects of complex systems. Our top strategic priority is to enable and support high quality research in an inspiring multidisciplinary atmosphere.
International conferences and workshops organized by group members (from 2014 onwards)
- Large Deviations in Statistical Physics, Stellenbosch, 3-14 Nov 2014 (co-organised by Rosemary Harris)
- 5th Biennial International Conference on Mathematics and Computation in Music, London, 22-25 June 2015 (organised by Oscar Bandtlow and Elaine Chew)
- Statistical Physics and Anomalous Dynamics of Foraging, MPIPKS Dresden, Advanced Study Group July-Dec 2015 (organised by Rainer Klages)
- The Dynamics of Complex Systems, University of Warwick, 18-20 May 2016 (organized by C. Baesens, C. Beck, B. Mestel, M.Muldoon)
- Jamming and Granular Matter, Topical Sattelite Meeting of Statphys 26, London 13.-15. July 2016 (co-organised by A. Baule)
- Phase Transitions in Socio-Economic Systems, QMUL, July 2016 (organised by R.J. Harris, V. Nicosia, and J. Starke)
- Mathematics and Economis of Energy Markets, Wokingham, 19-20 January 2017 (co-organised in collaboration with National Grid by C. Beck)
- FPSAC'17: The 29th international conference on Formal Power Series and Algebraic Combinatorics, London 2017 (co-organised by T. Prellberg)
(click here for past conferences)
Group members on Editorial Boards
- Adrian Baule is editorial board member of Heliyon
- Christian Beck is Co-Editor of EPL, Advisory Editor of Physica A as well as Editor of Chaos, Solitons, and Fractals.
- Oliver Jenkinson is Editorial Adviser of the London Mathematical Society (Bull., Journal, Procced., Trans. of LMS)
- Rainer Klages is Divisional Associate Editor of Phys. Rev. Lett.
Pathways to impact
Some of our research generates impact in the sense of EPSRC. An example was our participation in the interdisciplinary Flood MEMORY project funded by EPSRC. Christian Beck was leader of work package 1 `Clustered Processes' of this project connecting 11 different UK universities. The aim is to better understand the clustered statistics of flooding events, including social consequences.
Another current example of impact generating research is the LoBaNet project led by Christian Beck and Vito Latora, funded by EPSRC, in which we apply stochastic modelling techniques to load balancing problems in the energy industry.
For more information on research of individual group members, follow the link "People" on the left