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- Lachlan J. Gunn, Andrew Allison, Derek Abbott
- ArXiv
- 2014

The Kish key distribution system has been proposed as a classical alternative to quantum key distribution. The idealized Kish scheme elegantly promises secure key distribution by exploiting thermal noise in a transmission line. However, it is vulnerable to nonidealities in its components, such as the finite resistance of the transmission line connecting its… (More)

- Lachlan J. Gunn, Andrew Allison, Derek Abbott
- Scientific reports
- 2014

The Kish key distribution system has been proposed as a classical alternative to quantum key distribution. The idealized Kish scheme elegantly promises secure key distribution by exploiting thermal noise in a transmission line. However, we demonstrate that it is vulnerable to nonidealities in its components, such as the finite resistance of the transmission… (More)

- By P. Amengual, Andrew Allison, R. Toral, Derek Abbott
- 2004

Parrondo’s games manifest the apparent paradox where losing strategies can be combined to win and have generated significant multidisciplinary interest in the literature. Here we review two recent approaches, based on the Fokker-Planck equation, that rigorously establish the connection between Parrondo’s games and a physical model known as the flashing… (More)

In this paper, we develop two automated authorship attribution schemes, one based on Multiple Discriminant Analysis (MDA) and the other based on a Support Vector Machine (SVM). The classification features we exploit are based on word frequencies in the text. We adopt an approach of preprocessing each text by stripping it of all characters except a-z and… (More)

- James M. Chappell, Samuel P. Drake, +4 authors Derek Abbott
- Proceedings of the IEEE
- 2014

This paper examines two methods for finding whether long-range correlations exist in DNA: a fractal measure and a mutual information technique. We evaluate the performance and implications of these methods in detail. In particular we explore their use comparing DNA sequences from a variety of sources. Using software for performing in silico mutations, we… (More)

- Andrew Allison
- 2002

Several authors [1–4] have implied that the original inspiration for Parrondo’s games was a physical system called a “flashing Brownian ratchet [5, 6]” The relationship seems to be intuitively clear but, surprisingly, has not yet been established with rigor. The dynamics of a flashing Brownian ratchet can be described using a partial differential equation… (More)

In this paper we use the analogy of Parrondo’s games to design a second order switched mode circuit which is unstable in either mode but is stable when switched. We do not require any sophisticated control law. The circuit is stable, even if it is switched at random. We use a stochastic form of Lyapunov’s second method to prove that the randomly switched… (More)

- Matthew J. Berryman, Scott W. Coussens, +7 authors Derek Abbott
- 2005

Electroencephalograph (EEG) analysis enables the dynamic behavior of the brain to be examined. If the behavior is nonlinear then nonlinear tools can be used to glean information on brain behavior, and aid in the diagnosis of sleep abnormalities such as obstructive sleep apnea syndrome (OSAS). In this paper the sleep EEGs of a set of normal children and… (More)

The decision as to whether two texts were written by the same author is usually a difficult one. Can an analysis of how the words in a text statistically cluster shed some light on authorship? In this paper we examine both English texts and the Greek source texts of the New Testament. The mathematical techniqes developed by Shannon [1,2] and Markov have… (More)