Null Set collects the slightly obsessive possibilities that rise when we give them the space—odd jobs, trouble-making, and farm boy rambling, all in dialogue with mathematics, or William Faulkner, or
It is the year 2650 and Earth has become a world of non-Aristotelianism, or Null-A. This is the story of Gilbert Gosseyn, who lives in that future world where the Games Machine, made up of twenty-fiv
Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. The present book reviews t
This volume includes contributions by leading workers in the field given at the workshop on Numerical Relativity held in Southampton in December 1991. Numerical Relativity, or the numerical solution of astrophysical problems using powerful computers to solve Einstein's equations, has grown rapidly over the last 15 years. It is now an important route to understanding the structure of the Universe, and is the only route currently available for approaching certain important astrophysical scenarios. The Southampton meeting was notable for the first full report of the new 2+2 approach and the related null or characteristic approaches, as well as for updates on the established 3+1 approach, including both Newtonian and fully relativistic codes. The contributions range from theoretical (formalisms, existence theorems) to the computational (moving grids, multiquadrics and spectral methods).
Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.
Parametric variation in linguistic theory refers to the systematic grammatical variation permitted by the human language faculty. Although still widely assumed, the parametric theory of variation has in recent years been subject to re-evaluation and critique. The Null Subject Parameter, which determines among other things whether or not a language allows the suppression of subject pronouns, is one of the best-known and most widely discussed examples of a parameter. Nevertheless its status in current syntactic theory is highly controversial. This book is a defence of the parametric approach to linguistic variation, set within the framework of the Minimalist Program. It discusses syntactic variation in the light of recent developments in linguistic theory, focusing on issues such as the formal nature of minimalist parameters, the typology of null-subject language systems and the way in which parametric choices can be seen to underlie the synchronic and diachronic patterns observed in nat
Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.
Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.
