University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
The impact of alphabet size on pattern complexity of maxmin-$$\omega$$ω cellular automata
Natural Computing (14 April 2020)
Complexity of Maxmin-ω Cellular Automata
Springer Proceedings in Complexity page 98-107 (1 January 2018)
Phase locking to the n-torus
IMA Journal of Applied Mathematics issue 1 volume 81 page 152-164 (1 January 2016)
A max-plus model of asynchronous cellular automata
Complex Systems issue 4 volume 23 page 313-341 (1 January 2014)
On the need for a new playing die
Mathematical Scientist issue 1 volume 39 page 65-75 (1 January 2014)
Discrete dynamical systems, networks, cellular automata, asynchrony, max-plus algebra, L-systems, complex systems.
PDRA with Oxford-Emirates Data Science Lab
I am looking at using max-plus algebra to improve the scheduling of Dubai's airport activities.
Max-plus algebra forms the basis of "maxmin-omega", a model of discrete event systems that I developed for my PhD. Thus, I am also interested in developing ideas from this and Complex Systems, as in the following.
Discrete dynamical systems: cellular automata, L-systems, and complex patterns
Industrial and biological applications of maxmin-plus algebra.
October 2013-February 2016:
PDRA at the Mathematical Institute, Oxford
Constructed efficient energy distribution algorithms for the smart grid in collaboration with engineering partners in Oxford and Korean energy firm.
- Prelim Probability
- Part A Probability.
- Supervision of group project "Railway network timetabling using max-plus algebra", Case Studies in Mathematical Modelling and Scientific Computing (MSc)
- Supervision of four dissertations spanning Part C and OMMS.
- Prelim Stats and Data
- Prelim Constructive Mathematics
- Part A Graph Theory.
Prizes, awards, and scholarships:
* Winner of the ECM Catherine Richards Prize 2015, Institute of Mathematics and its Applications, for "Mixing Motions", co-authored with A. D. Irving.
** Winner of the ECM Catherine Richards Prize 2014, Institute of Mathematics and its Applications, for "Pendulum Pattern Perception", co-authored with A. D. Irving.
Major / recent publications:
E. L. Patel, "The impact of alphabet size on pattern complexity of maxmin-omega cellular automata", Nat Comput (2020). https://doi.org/10.1007/s11047-020-09787-2
E. L. Patel, "Complexity of Maxmin-omega Cellular Automata", Unifying Themes in Complex Systems IX. ICCS 2018. Springer Proceedings in Complexity. Springer, Cham., 2018.
A. D. Irving and E. L. Patel, "Orbital Origins", Mathematics Today, June 2017.
E. L. Patel, "Maxmin-omega: A Simple Deterministic Asynchronous Cellular Automaton Scheme", Cellular Automata: 12th International Conference on Cellular Automata for Research and Industry, ACRI 2016, Fez, Morocco, September 5–8, 2016. Proceedings, 9863, p. 192. Springer, 2016.
A. D. Irving and E. L. Patel, "Mixing Motions"*, Mathematics Today, February 2016.
P. Grindrod and E. L. Patel, "Phase locking to the n-torus", IMA Journal of Applied Mathematics, 81(1), pp. 152–164, 2016.
E. L. Patel and D. Broomhead. "A Max-Plus Model of Asynchronous Cellular Automata", Complex Systems, 23(4), 2014.
A. D. Irving and E. L. Patel, "Pendulum Pattern Perception"**, Mathematics Today, December 2014.