There has been significant interest in studying the asymptotics of certain generalised moments, called moments characteristic polynomials random Haar-distributed unitary and symplectic matrices, as matrix size N goes to infinity. These quantities depend on two parameters k q when both them are positive integers it shown that these fact N. In this paper we classify integer roots moreover prove t...

The existence of a fundamental scale is expected to be key feature quantum gravity. Many approaches take this property as starting assumption. Here, instead, we less conventional viewpoint based on critical inspection both principles and kinematic laws. We point out that rigorous arguments suggest more urgent need revise known theories incorporate acceleration already in flat space. reciprocity...

Previous proposals to permit non-exponential free-path statistics in radiative transfer have not included support for volume and boundary sources that are spatially uncorrelated from the scattering events in the medium. Birth-collision free paths are treated identically to collision-collision free paths and application of this to general, bounded scenes with inclusions leads to non-reciprocal t...

The origins of this special issue lie in the international Workshop, Digital Collaboration Technologies, the Organisation of Scientific Work and the Economics of Knowledge Access, which was held at the International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria, 3–5 December 1999. During that Workshop, it became apparent that there was tension between the advances in info...

NETWORK CHARACTERISTICS AND DYNAMICS: RECIPROCITY, COMPETITION AND INFORMATION DISSEMINATION Report Title Networks are commonly used to study complex systems. This often requires a good understanding of the structural characteristics and evolution dynamics of networks, and also their impacts on a variety of dynamic processes taking place on top of them. In this thesis, we study various aspects ...