Cities of God? Medieval urban forms and their Christian Symbolism

Situated in the context of recent geographical engagements with 'landscape', this paper combines 'morphological' and 'iconographic' landscape interpretations to examine how urban forms were perceived in late medieval Europe. To date, morphological studies have mapped the medieval city either by classifying urban layouts according to particular types, or by analysing plan forms of particular towns and cities to reveal their spatial evolution. This paper outlines a third way, an 'iconographic' approach, which shows how urban forms in the Middle Ages conveyed Christian symbolism. Three such 'mappings' explore this thesis: the first uses textual and visual representations which show that the city was understood as a scaled-down world â?? a microcosm â?? linking city and cosmos in the medieval mind; the second 'mapping' develops this theme further and suggests that urban landscapes were inscribed with symbolic form through their layout on the ground; while the third looks at how Christian symbolism of urban forms was performed through the urban landscape in perennial religious processions. Each of these 'mappings' points to the symbolic, mystical significance urban form had in the Middle Ages, based on religious faith, and they thus offer a deepened appreciation of how urban landscapes were represented, constructed and experienced at the time.

Quadratic Forms on Complex Random Matrices and Multiple-Antenna Systems

This research published in the foremost international journal in information theory and shows interplay between complex random matrix and multiantenna information theory. Dr T. Ratnarajah is leader in this area of research and his work has been contributed in the development of graduate curricula (course reader) in Massachusetts Institute of Technology (MIT), USA, By Professor Alan Edelman. The course name is "The Mathematics and Applications of Random Matrices", see http://web.mit.edu/18.338/www/projects.html

Path-integral study of a two-dimensional Lennard-Jones glass

The glass transition in a quantum Lennard-Jones mixture is investigated by constant-volume path-integral simulations. Particles are assumed to be distinguishable, and the strength of quantum effects is varied by changing h from zero (the classical case) to one (corresponding to a highly quantum-mechanical regime). Quantum delocalization and zero point energy drastically reduce the sensitivity of structural and thermodynamic properties to the glass transition. Nevertheless, the glass transition temperature T-g can be determined by analyzing the phase space mobility of path-integral centroids. At constant volume, the T-g of the simulated model increases monotonically with increasing h. Low temperature tunneling centers are identified, and the quantum versus thermal character of each center is analyzed. The relation between these centers and soft quasilocalized harmonic vibrations is investigated. Periodic minimizations of the potential energy with respect to the positions of the particles are performed to determine the inherent structure of classical and quantum glassy samples. The geometries corresponding to these energy minima are found to be qualitatively similar in all cases. Systematic comparisons for ordered and disordered structures, harmonic and anharmonic dynamics, classical and quantum systems show that disorder, anharmonicity, and quantum effects are closely interlinked.