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This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.
This volume contains current work at the frontiers of research in infinite dimensional stochastic analysis. It presents a carefully chosen collection of articles by experts to highlight the latest developments in white noise theory, infinite dimensional transforms, quantum probability, stochastic partial differential equations, and applications to mathematical finance. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians. Sample Chapter(s). Complex White Noise and the Infinite Dimens...
This book proposes a model of the light knot electronic structure and the theory of quantum inverse measurement, showing that diffraction experiments can be explained by directional quantization. It points out that there exists a logical loophole in the interpretation process of quantum entanglement, and proves that there is a paradox in the uncertainty relationship. As such, the book lays the foundation for the establishment of local-realism quantum mechanics and successfully establishes the quantum mechanics of localized realism and determinism is successfully established. It will appeal to university students, teachers, and scientists, as well as science lovers.
This volume aims to return to the starting point of the fields of infinite dimensional analysis and quantum probability, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics including classical probability and to different branches of physics, in particular, research for new paradigms for information science on the basis of quantum theory.
She had loved before and lost, and was immovably accepted by the possibility that she would never love again. One day she discovered him, not simply in her fantasies, but rather in her heart. He didn't leave her life, he was dependably there; she was never alone, every minute she can feel his nearness as though he'd generally been. He was not sitting tight for affection. One day when she walked through his heart and the entire world moved. She wasn't simply perusing his psyche, it resembled she was perusing his soul. They are such a sort of cheerful couples, constantly together, as if they'd been hitched until the end of time. In any case, fate had other arrangement for them, they got isolated not on the grounds that their affection was not valid but rather as a result of the dismissal by their own parents. Affection forever, an adoration that associated two souls profound inside. While life was planning against them, to deny two star-crossed sweethearts from something that had dependably been and could simply be. Their adoration is uncommon and that is valid…..This is their story.
The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.
During the last fifty years, Gopinath Kallianpur has made extensive and significant contributions to diverse areas of probability and statistics, including stochastic finance, Fisher consistent estimation, non-linear prediction and filtering problems, zero-one laws for Gaussian processes and reproducing kernel Hilbert space theory, and stochastic differential equations in infinite dimensions. To honor Kallianpur's pioneering work and scholarly achievements, a number of leading experts have written research articles highlighting progress and new directions of research in these and related areas. This commemorative volume, dedicated to Kallianpur on the occasion of his seventy-fifth birthday, ...
Globalization is often discussed in terms of its ecological ramifications. Yet, while ecological imbalance is today one of the greatest threats to mankind, globalization is also a reality that is here to stay. The volume, therefore, seeks to address how globalizing and environmental interests can be reconciled. The essays in this volume state that globalization can work both in favour of and against the environment. The major issues discussed in this topical volume are, how globalization can be used to promote environmental reforms; the role of individuals, private organizations and governments in keeping environmental degradation in check and in promoting environmental reform; globalization and ecological inequality; women, the environment and globalization; changing nature of environmental movements; overpopulation and the ecology; the relation between the ecology and the economy; and the effects of global climate changes.
Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems. A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. The first lecture presents the close connection between distributional symmetries and independence properties. The second introduces many structures (graphs, C*-algebras, discrete groups) whose quantum symmetries are much richer than their classical symmetry groups, and describes the associated quantum symmetry groups. The last lecture shows how functional analytic and geometric ideas can be used to detect and to quantify entanglement in high dimensions. The book will allow graduate students and young researchers to gain a better understanding of free probability, the theory of compact quantum groups, and applications of the theory of Banach spaces to quantum information. The latter applications will also be of interest to theoretical and mathematical physicists working in quantum theory.
This book narrates, in a brief and simple way, the process for developing clean, energy-efficient biomass gasifier systems for heat applications-initially in silk reeling units, and later in other SmiEs (small and micro enterprises). In particular, it highlights the experiences of project staff and other stakeholders, and the challenges faced and tackled by them in the course of their work