This monograph is a slightly revised version of my PhD thesis 86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers 50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on...

The subject of this book is the continuous Hochschild cohomology of dual normal modules over a von Neumann algebra. The authors develop the necessary technical results, assuming a familiarity with basic C*-algebra and von Neumann algebra theory, including the decomposition into types, but no prior knowledge of cohomology theory is required and the theory of completely bounded and multilinear operators is given fully. Those cases when the continuous Hochschild cohomology Hn(M, M) of the von Neumann algebra M over itself is zero are central to this book. The material in this book lies in the...

It is obvious that the growing child manifests an increasing understanding of his language and facility to use it. A major part of the child lan guage literature is concerned with the child's developing linguistic and communicative competence. Scattered evidence also shows, however, that children become progressively more aware of language as Zanguage. It is interesting to consider in what ways the internal structure and mechanisms of language become more accessible. Little is known about linguistic aware ness of this kind, the role it plays, or how it develops. When the new Projektgruppe fUr...

This monograph is a slightly revised version of my PhD thesis 86], com- pleted in the Department of Computer Science at the University of Edin- burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers 50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob- lems appear to be intractable for many important structures, so interest has focused...