output
20022009
most citedBiquaternion (complexified quaternion) roots of -1

51 citations

9 papers

q-fin.TR20092 cited

The scale of market quakes

T. Bisig, A. Dupuis, V. Impagliazzo +1

We define a methodology to quantify market activity on a 24 hour basis by defining a scale, the so-called scale of market quakes (SMQ). The SMQ is designed within a framework where…

physics.plasm-ph200842 cited

Anomalies in Universal Intensity Scaling in Ultrarelativistic Laser-Plasma Interactions

T. J. M. Boyd, R. Ondarza-Rovira

Laser light incident on targets at intensities such that the electron dynamics is ultrarelativistic gives rise to a harmonic power spectrum extending to high orders and characteriz…

math.DS2008

Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems

Murad Banaji, Gheorghe Craciun

In this paper we discuss the question of how to decide when a general chemical reaction system is incapable of admitting multiple equilibria, regardless of parameter values such as…

cs.NE20062 cited

Evolving controllers for simulated car racing

Julian Togelius, Simon M. Lucas

This paper describes the evolution of controllers for racing a simulated radio-controlled car around a track, modelled on a real physical track. Five different controller architect…

math.RA200551 cited

Biquaternion (complexified quaternion) roots of -1

Stephen J. Sangwine

The roots of -1 in the set of biquaternions (quaternions with complex components, or complex numbers with quaternion real and imaginary parts) are studied and it is shown that ther…

physics.class-ph2004

Is Computation Reversible?

Michael C. Parker, Stuart D. Walker

Recent investigations into the physical nature of information and fundamental limits to information transmission have revealed questions such as the possibility of superluminal dat…