Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability PDF Author: Luigi Accardi
Publisher: Springer Science & Business Media
ISBN: 9401008426
Category : Mathematics
Languages : en
Pages : 455

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Book Description
Recent Developments in Infinite-Dimensional Analysis and Quantum Probability is dedicated to Professor Takeyuki Hida on the occasion of his 70th birthday. The book is more than a collection of articles. In fact, in it the reader will find a consistent editorial work, devoted to attempting to obtain a unitary picture from the different contributions and to give a comprehensive account of important recent developments in contemporary white noise analysis and some of its applications. For this reason, not only the latest results, but also motivations, explanations and connections with previous work have been included. The wealth of applications, from number theory to signal processing, from optimal filtering to information theory, from the statistics of stationary flows to quantum cable equations, show the power of white noise analysis as a tool. Beyond these, the authors emphasize its connections with practically all branches of contemporary probability, including stochastic geometry, the structure theory of stationary Gaussian processes, Neumann boundary value problems, and large deviations.

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability PDF Author: Luigi Accardi
Publisher: Springer Science & Business Media
ISBN: 9401008426
Category : Mathematics
Languages : en
Pages : 455

Get Book Here

Book Description
Recent Developments in Infinite-Dimensional Analysis and Quantum Probability is dedicated to Professor Takeyuki Hida on the occasion of his 70th birthday. The book is more than a collection of articles. In fact, in it the reader will find a consistent editorial work, devoted to attempting to obtain a unitary picture from the different contributions and to give a comprehensive account of important recent developments in contemporary white noise analysis and some of its applications. For this reason, not only the latest results, but also motivations, explanations and connections with previous work have been included. The wealth of applications, from number theory to signal processing, from optimal filtering to information theory, from the statistics of stationary flows to quantum cable equations, show the power of white noise analysis as a tool. Beyond these, the authors emphasize its connections with practically all branches of contemporary probability, including stochastic geometry, the structure theory of stationary Gaussian processes, Neumann boundary value problems, and large deviations.

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Recent Developments in Infinite-Dimensional Analysis and Quantum Probability PDF Author: Takeyuki Hida
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 464

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Book Description


Infinite Dimensional Analysis, Quantum Probability and Applications

Infinite Dimensional Analysis, Quantum Probability and Applications PDF Author: Luigi Accardi
Publisher: Springer Nature
ISBN: 3031061705
Category : Mathematics
Languages : en
Pages : 369

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Book Description
This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite dimensional analysis, with a special focus on applications to mathematical physics and quantum information theory. Covered topics include white noise theory, quantum field theory, quantum Markov processes, free probability, interacting Fock spaces, and more. By emphasizing the interconnection and interdependence of such research topics and their real-life applications, this reputed conference has set itself as a distinguished forum to communicate and discuss new findings in truly relevant aspects of theoretical and applied mathematics, notably in the field of mathematical physics, as well as an event of choice for the promotion of mathematical applications that address the most relevant problems found in industry. That makes this volume a suitable reading not only for researchers and graduate students with an interest in the field but for practitioners as well.

Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference

Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference PDF Author: Noboru Watanabe
Publisher: World Scientific
ISBN: 9811276005
Category : Mathematics
Languages : en
Pages : 306

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Book Description
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.

Quantum Information IV

Quantum Information IV PDF Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9789812380203
Category : Science
Languages : en
Pages : 212

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Book Description
Annotation. ...study on the Power of Potential fluctuation in living cells...some properties of measure-valued processes with singular branching rate and other papers.

White Noise Analysis And Quantum Information

White Noise Analysis And Quantum Information PDF Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9813225475
Category : Mathematics
Languages : en
Pages : 243

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Book Description
This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. These fields are rather wide and are of a strongly interdisciplinary nature. For such a purpose, we strove to bridge among these interdisciplinary fields in our Workshop on IDAQP and their Applications that was held at the Institute for Mathematical Sciences, National University of Singapore from 3-7 March 2014. Readers will find that this volume contains all the exciting contributions by well-known researchers in search of new directions in these fields.

Recent Development in Stochastic Dynamics and Stochastic Analysis

Recent Development in Stochastic Dynamics and Stochastic Analysis PDF Author: Jinqiao Duan
Publisher: World Scientific
ISBN: 9814277258
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Stochastic dynamical systems and stochastic analysis are of great interests not only to mathematicians but also scientists in other areas. Stochastic dynamical systems tools for modeling and simulation are highly demanded in investigating complex phenomena in, for example, environmental and geophysical sciences, materials science, life sciences, physical and chemical sciences, finance and economics. The volume reflects an essentially timely and interesting subject and offers reviews on the recent and new developments in stochastic dynamics and stochastic analysis, and also some possible future research directions. Presenting a dozen chapters of survey papers and research by leading experts in the subject, the volume is written with a wide audience in mind ranging from graduate students, junior researchers to professionals of other specializations who are interested in the subject.

Quantum Information And Complexity - Proceedings Of The Meijo Winter School 2003

Quantum Information And Complexity - Proceedings Of The Meijo Winter School 2003 PDF Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9814481750
Category : Science
Languages : en
Pages : 469

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Book Description
Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap between quantum information theory and complex systems. Arising from the Meijo Winter School and International Conference, the lecture notes and research papers published in this timely volume will have a significant impact on the future development of the theories of quantum information and complexity. This book will be of interest to mathematicians, physicists, computer scientists as well as electrical engineers working in this field.

Quantum Probability Communications Qp-Pq

Quantum Probability Communications Qp-Pq PDF Author: J. M Lindsay
Publisher: World Scientific
ISBN: 9812389598
Category : Science
Languages : en
Pages : 294

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Book Description
Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will be engaged, informed and inspired by the contents of these two volumes. An extensive bibliography containing the references from all the lectures is included in Volume 12.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1770

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Book Description