Theme Operator

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social networks. Indeed, network analysis plays a crucial role in many other areas of data science and engineering. In these models, the weights on the edges may be understood as conductances, or as a measure of similarity. Resistance networks also arise in probability, as they correspond to a broad class of Markov chains.The present volume takes the nonstandard approach of analyzing resistance networks from the point of view of Hilbert space theory, where the inner product is defined in terms of Dirichlet energy. The resulting viewpoint emphasizes orthogonality over convexity and provides new insights into the connections between harmonic functions, operators, and boundary theory. Novel applications to mathematical physics are given, especially in regard to the question of self-adjointness of unbounded operators.New topics are covered in a host of areas accessible to multiple audiences, at both beginning and more advanced levels. This is accomplished by directly linking diverse applied questions to such key areas of mathematics as functional analysis, operator theory, harmonic analysis, optimization, approximation theory, and probability theory.

The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.

The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Analyzing the new technology of Smartphones in great detail, this guide discusses relevant reference solutions, the role of middleware on related operating systems, and how cell phone vendors consequently confront this growing challenge. A very detailed and cogent perspective on the world of Smartphones, the report examines its vast feature sets, reveals its impact on other leading technologies and companies, and supplies extensive case studies on how Smartphones enhance user productivity and encourage deployment of user applications.

This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material and Lerer's list of publications complete the volume.

This book develops an approach to the causative alternation that assumes syntactic event decomposition and a configurational theta theory. It is couched within the framework of the Minimalist Program and, especially, within Distributed Morphology. Central to the work is the syntax and semantics of canonical external arguments of causative verbs as well as of oblique causers and causative PPs in the context of anticausative verbs in different languages such as Germanic, Romance, Balkan, and Caucasian languages. The book also develops a new account of the origin and nature of the morphological marking which is often found on anticausatives across languages. The main claim is that this morphology is a reflex of a syntactic way to prohibit the assignment of the external theta role. Moreover, the book develops an account about the origin of the implicit agent in generic middles which often bear the same morphology as marked anticausatives.

TRB's Transit Cooperative Research Program (TCRP) Report 142: Vehicle Operator Recruitment, Retention, and Performance in ADA Complementary Paratransit Operations provides guidance for understanding the relationships that influence and enhance operator recruitment, retention, and performance in Americans with Disabilities Act (ADA) complementary paratransit services. Appendixes to TCRP Report 142 were published electronically as TCRP Web-Only Document 50: Survey Instrument, Productivity Charts, and Interview Protocol for Case Studies for TCRP Report 142.