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Probability on Real Lie Algebras
This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. In the early chapters, focus is placed on concrete examples of the links between algebraic relations and the moments of probability distributions. The subsequent chapters are more advanced and deal with Wigner densities for non-commutative couples of random variables, non-commutative stochastic processes with independent increments (quantum Lévy processes), and the quantum Malliavin calculus. This book will appeal to advanced undergraduate and graduate students interested in the relations between algebra, probability, and quantum theory. It also addresses a more advanced audience by covering other topics related to non-commutativity in stochastic calculus, Lévy processes, and the Malliavin calculus.
Knotted Surfaces and Their Diagrams
In this book the authors develop the theory of knotted surfaces in analogy with the classical case of knotted curves in 3-dimensional space. In the first chapter knotted surface diagrams are defined and exemplified; these are generic surfaces in 3-space with crossing information given. The diagrams are further enhanced to give alternative descriptions. A knotted surface can be described as a movie, as a kind of labeled planar graph, or as a sequence of words in which successive words are related by grammatical changes. In the second chapter, the theory of Reidemeister moves is developed in the various contexts. The authors show how to unknot intricate examples using these moves. The third ch...
Handbook of Teichmüller Theory
The subject of this handbook is Teichmuller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with $3$-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics,...
New Thinking for 21st Century Publishers
Written by a former vice president of Wolters Kluwer, the leading international publishing group. This authoritative book addresses the compelling question: how will the publishing profession survive and thrive in the 21st century? Publishing companies today find themselves in the midst of a sea change in the nature of the content they create; the modes of its delivery; the converging of content and service; and even in the structure of the publishing industry itself. Today, at the beginning of the 21st century we are witnessing an accelerating change in the transition from traditional printing and printing - and publishing-on-demand to online and wireless delivery of content. One of the que...
Ambient Intelligence—Software and Applications—13th International Symposium on Ambient Intelligence
This book presents the latest research on Ambient Intelligence including software and applications. Ambient Intelligence (AmI) is a paradigm emerging from Artificial Intelligence, where computers are used as proactive tools assisting people with their day-to-day activities, making everyone’s life more comfortable. The inclusion of computational power and communication technologies in everyday objects is growing, and their embedding into our environments should be as invisible as possible. In order for AmI to be successful, human interaction with computing power and embedded systems in the surroundings should be smooth and happen without people actually noticing it. The only awareness people should have arises from AmI: more safety, comfort and wellbeing, emerging in a natural and inherent way. ISAmI is the International Symposium on Ambient Intelligence, aiming to bring together researchers from various disciplines that constitute the scientific field of AmI to present and discuss the latest results, new ideas, projects and lessons learned.
Covid-19 Management and Responses
When the Cape Higher Education Consortium (CHEC, South Africa) decided to develop a book on Covid-19 management and responses, higher education was in the midst of its endeavours to manage how we respond to this threat to ensure academic continuity and integrity. Universities mostly followed their own strategies and initiatives reactively, having little time to be proactive. At this point, most higher education institutions have steadied their approaches to teaching and learning and to managing their university services in response to the threat. There is clear evidence that the world as we knew it and in which our practices had been developed, has changed, and will continue to do so with increasing threats and demands on our higher education systems. This book provides the collaborative approaches from a range of academic practitioners and managers to develop some mental model of the practices we adopted and possible lessons learnt in the process.
Geometric Methods in Physics XXXVIII
The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career rese...
