The theory of traces employs techniques and tackles problems from quite diverse areas which include formal language theory, combinatorics, graph theory, algebra, logic, and the theory of concurrent systems. In all these areas the theory of traces has led to interesting problems and significant results. It has made an especially big impact in formal language theory and the theory of concurrent systems. In both these disciplines it is a well-recognized and dynamic research area. Within formal language theory it yields the theory of partially commutative monoids, and provides an important connection between languages and graphs. Within the theory of concurrent systems it provides an important formal framework for the analysis and synthesis of concurrent systems.This monograph covers all important research lines of the theory of traces; each chapter is devoted to one research line and is written by leading experts. The book is organized in such a way that each chapter can be read independently ? and hence it is very suitable for advanced courses or seminars on formal language theory, the theory of concurrent systems, the theory of semigroups, and combinatorics. An extensive bibliography is included. At present, there is no other book of this type on trace theory.

This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. The self-contained material should appeal to a wide group of mathematicians and engineers, and is suitable for teaching.

Questions national identity by investigating the creation of memory and meaning.

An innovative multidisciplinary study of the relationship between visual perception and temporal meaning in ancient Greek literature and history writing

Paola Marrati considers the philosophical sources of Derrida's thought through his reading of both Husserl and Heidegger. Notions such as the contamination of the empirical and the transcendental, dissemination and writing, are explained as a guiding thread that runs through Derrida's early and later works.

The Trace of Political Representation is a philosophical analysis of the discourses, practices, and effects of representation in political institutions, with an ultimate interest in contemporary American democracy. The perspective governing its approach is derived largely from Foucault, and tempered by a range of contemporary philosophers, including Derrida, Pitkin, and Castoriadis. Seitz explores and questions the traditional, metaphysical notion that what gets represented in the apparatuses and processes of representation is a political subject or identity (for example, will, opinion, interests) that exists fundamentally independent of and prior to that process. To accomplish this, he sketches out a historical articulation of several prominent formations of political representation from the past and then focuses on more contemporary political developments and dynamics, including the impact of "communications" technology and culture on the processes and institutions of representation.

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.

From a review of the first edition: Beautifully written and well organized ... indispensable for those interested in certain areas of mathematical physics ... for the expert and beginner alike. The author deserves to be congratulated both for his work in unifying a subject and for showing workers in the field new directions for future development. --Zentralblatt MATH This is a second edition of a well-known book on the theory of trace ideals in the algebra of operators in a Hilbert space. Because of the theory's many different applications, the book was widely used and much in demand. For this second edition, the author has added four chapters on the closely related theory of rank one perturbations of self-adjoint operators. He has also included a comprehensive index and an addendum describing some developments since the original notes were published. This book continues to be a vital source of information for those interested in the theory of trace ideals and in its applications to various areas of mathematical physics.