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- Andrew M Edwards, Richard A Phillips, +8 authors Gandhimohan M Viswanathan
- Nature
- 2007

The study of animal foraging behaviour is of practical ecological importance, and exemplifies the wider scientific problem of optimizing search strategies. Lévy flights are random walks, the step lengths of which come from probability distributions with heavy power-law tails, such that clusters of short steps are connected by rare long steps. Lévy flights… (More)

Finite size scaling in the solar wind magnetic field energy density as seen by WIND Abstract. Statistical properties of the interplanetary magnetic field fluctuations can provide an important insight into the solar wind turbulent cascade. Recently, analysis of the Probability Density Functions (PDF) of the velocity and magnetic field fluctuations has shown… (More)

- N. W. Watkins
- 2001

The study of the robust features of the magnetosphere is motivated both by new " whole system " approaches, and by the idea of " space climate " as opposed to " space weather ". We enumerate these features for the AE index, and discuss whether self-organised criticality (SOC) is the most natural explanation of the " stylised facts " so far known for AE. We… (More)

The interaction between the Earth's magnetic field and the solar wind plasma results in a natural plasma confinement system which stores energy. Dissipation of this energy through Joule heating in the ionosphere can be studied via the Auro-ral Electrojet (AE) index. The apparent broken power law form of the frequency spectrum of this index has motivated… (More)

We calculate for the first time the probability density functions (PDFs) P of burst energy e, duration T and inter-burst interval τ for a known turbulent system in nature. Bursts in the earth-sun component of the Poynting flux at 1 AU in the solar wind were measured using the MFI and SWE experiments on the NASA WIND spacecraft. We find P (e) and P (T) to be… (More)

- Richard W Clarke, Mervyn P Freeman, Nicholas W Watkins
- Physical review. E, Statistical, nonlinear, and…
- 2003

We discuss how the ideal formalism of computational mechanics can be adapted to apply to a noninfinite series of corrupted and correlated data, that is typical of most observed natural time series. Specifically, a simple filter that removes the corruption that creates rare unphysical causal states is demonstrated, and the concept of effective soficity is… (More)

- Mervyn P. Freeman, Nicholas W. Watkins, Eiko Yoneki, Jon Crowcroft
- 2010 International Conference on Advances in…
- 2010

There is substantial interest in the effect of human mobility patterns on opportunistic communications. Inspired by recent work revisiting some of the early evidence for a L´evy flight foraging strategy in animals, we analyse datasets on human contact from real world traces. By analysing the distribution of inter-contact times on different time scales… (More)

- Petra E. Vértes, Ruth M. Nicol, Sandra C. Chapman, Nicholas W. Watkins, Duncan A. Robertson, Edward T. Bullmore
- Front. Syst. Neurosci.
- 2011

Although metaphorical and conceptual connections between the human brain and the financial markets have often been drawn, rigorous physical or mathematical underpinnings of this analogy remain largely unexplored. Here, we apply a statistical and graph theoretic approach to the study of two datasets - the time series of 90 stocks from the New York stock… (More)

- Nicholas W Watkins, Mervyn P Freeman
- Science
- 2008

- Christian L E Franzke, Timothy Graves, Nicholas W Watkins, Robert B Gramacy, Cecilia Hughes
- Philosophical transactions. Series A…
- 2012

Long-range dependence (LRD) and non-Gaussianity are ubiquitous in many natural systems such as ecosystems, biological systems and climate. However, it is not always appreciated that the two phenomena may occur together in natural systems and that self-similarity in a system can be a superposition of both phenomena. These features, which are common in… (More)