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Author : Rolf Gohm
Publisher : Springer Science & Business Media
ISBN 13 : 9783540209263
Total Pages : 182 pages
Book Rating : 4.2/5 (92 download)
Download or read book Noncommutative Stationary Processes written by Rolf Gohm and published by Springer Science & Business Media. This book was released on 2004 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladas Pipiras
Publisher : Springer
ISBN 13 : 3319623311
Total Pages : 135 pages
Book Rating : 4.3/5 (196 download)
Download or read book Stable Non-Gaussian Self-Similar Processes with Stationary Increments written by Vladas Pipiras and published by Springer. This book was released on 2017-08-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained presentation on the structure of a large class of stable processes, known as self-similar mixed moving averages. The authors present a way to describe and classify these processes by relating them to so-called deterministic flows. The first sections in the book review random variables, stochastic processes, and integrals, moving on to rigidity and flows, and finally ending with mixed moving averages and self-similarity. In-depth appendices are also included. This book is aimed at graduate students and researchers working in probability theory and statistics.
Author : S Attal
Publisher : World Scientific
ISBN 13 : 9814485594
Total Pages : 604 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantum Probability Communications written by S Attal and published by World Scientific. This book was released on 2003-06-27 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: 0Keywords:Mathematics;Mathematical Physics;Quantum Probability;Stochastic Calculus;Noncommutative Probability;Free Probability
Author : S Attal
Publisher : World Scientific
ISBN 13 : 981238975X
Total Pages : 314 pages
Book Rating : 4.8/5 (123 download)
Download or read book Quantum Probability Communications written by S Attal and published by World Scientific. This book was released on 2003 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Luigi Accardi
Publisher : Springer
ISBN 13 : 354038846X
Total Pages : 379 pages
Book Rating : 4.5/5 (43 download)
Download or read book Quantum Probability and Applications III written by Luigi Accardi and published by Springer. This book was released on 2006-11-15 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). The main topics discussed were: quantum stochastic calculus, mathematical models of quantum noise and their applications to quantum optics, the quantum Feynman-Kac formula, quantum probability and models of quantum statistical mechanics, the notion of conditioning in quantum probability and related problems (dilations, quantum Markov processes), quantum central limit theorems. With the exception of Kümmerer's review article on Quantum Markov Processes, all contributions are original research papers.
Author : David Applebaum
Publisher : Springer
ISBN 13 : 3540314504
Total Pages : 299 pages
Book Rating : 4.5/5 (43 download)
Download or read book Quantum Independent Increment Processes I written by David Applebaum and published by Springer. This book was released on 2005-09-14 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first of two volumes containing the revised and completed notes lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald during the period March 9 – 22, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics. The present first volume contains the following lectures: "Lévy Processes in Euclidean Spaces and Groups" by David Applebaum, "Locally Compact Quantum Groups" by Johan Kustermans, "Quantum Stochastic Analysis" by J. Martin Lindsay, and "Dilations, Cocycles and Product Systems" by B.V. Rajarama Bhat.
Author : Ole E Barndorff-Nielsen
Publisher : Springer
ISBN 13 : 3540323856
Total Pages : 340 pages
Book Rating : 4.5/5 (43 download)
Download or read book Quantum Independent Increment Processes II written by Ole E Barndorff-Nielsen and published by Springer. This book was released on 2005-11-25 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of two volumes containing the revised and completed notes of lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald in March, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics. The present second volume contains the following lectures: "Random Walks on Finite Quantum Groups" by Uwe Franz and Rolf Gohm, "Quantum Markov Processes and Applications in Physics" by Burkhard Kümmerer, Classical and Free Infinite Divisibility and Lévy Processes" by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and "Lévy Processes on Quantum Groups and Dual Groups" by Uwe Franz.
Author : Joseph A. Ball
Publisher : Springer
ISBN 13 : 3319062662
Total Pages : 260 pages
Book Rating : 4.3/5 (19 download)
Download or read book Operator Theory in Harmonic and Non-commutative Analysis written by Joseph A. Ball and published by Springer. This book was released on 2014-06-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.
Author : Kimiaki Saito
Publisher : World Scientific
ISBN 13 : 9814478997
Total Pages : 368 pages
Book Rating : 4.8/5 (144 download)
Download or read book Infinite Dimensional Harmonic Analysis Iii - Proceedings Of The Third German-japanese Symposium written by Kimiaki Saito and published by World Scientific. This book was released on 2005-11-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions on recent results in infinite dimensional harmonic analysis and its applications to probability theory. Some papers deal with purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. Several other papers touch upon stochastic processes, in particular Lévy processes. The majority of the contributions emphasize on the algebraic-topological aspects of the theory by choosing configuration spaces, locally compact groups and hypergroups as their basic structures. The volume provides a useful survey of innovative work pertaining to a highly actual section of modern analysis in its pure and applied shapings.
Author : George W. Mackey
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890448
Total Pages : 386 pages
Book Rating : 4.8/5 (94 download)
Download or read book The Scope and History of Commutative and Noncommutative Harmonic Analysis written by George W. Mackey and published by American Mathematical Soc.. This book was released on 2005-04-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''When I was invited to speak at the conference on the history of analysis given at Rice University [in 1977], I decided that it might be interesting to review the history of mathematics and physics in the last three hundred years or so with heavy emphasis on those parts in which harmonic analysis had played a decisive or at least a major role. I was pleased and somewhat astonished to find how much of both subjects could be included under this rubric ... The picture that gradually emerged as the various details fell into place was one that I found very beautiful, and the process of seeing it do so left me in an almost constant state of euphoria. I would like to believe that others can be led to see this picture by reading my paper, and to facilitate this I have included a large number of short expositions of topics which are not widely understood by non-specialists.'' --from the Preface This volume, containing the paper mentioned above as well as five other reprinted papers by Mackey, presents a sweeping view of the importance, utility, and beauty of harmonic analysis and its connections to other areas of mathematics and science. A seventh paper, written exclusively for this volume, attempts to unify certain themes that emerged after major discoveries in 1967 and 1968 in the areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations--discoveries that may at first glance appear to be independent, but which are in fact deeply interrelated. Information for our distributors: Copublished with the London Mathematical Society beginning with volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.
Author : Jorgensen Palle
Publisher : World Scientific
ISBN 13 : 9813202149
Total Pages : 564 pages
Book Rating : 4.8/5 (132 download)
Download or read book Non-commutative Analysis written by Jorgensen Palle and published by World Scientific. This book was released on 2017-01-24 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.) A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras. The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.
Author : Paul-Andre Meyer
Publisher : Springer
ISBN 13 : 3662215586
Total Pages : 301 pages
Book Rating : 4.6/5 (622 download)
Download or read book Quantum Probability for Probabilists written by Paul-Andre Meyer and published by Springer. This book was released on 2013-11-11 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes contain all the material accumulated over six years in Strasbourg to teach "Quantum Probability" to myself and to an audience of commutative probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it as a monograph. Being a non-specialist, it is important for me to keep the moderate right to error one has in lectures. The origin of the text also explains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.
Author : Marek Biskup
Publisher : Springer
ISBN 13 : 3540927964
Total Pages : 350 pages
Book Rating : 4.5/5 (49 download)
Download or read book Methods of Contemporary Mathematical Statistical Physics written by Marek Biskup and published by Springer. This book was released on 2009-07-31 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. It presents new results on phase transitions for gradient lattice models.
Author : Vasile Berinde
Publisher : Springer
ISBN 13 : 3540722343
Total Pages : 338 pages
Book Rating : 4.5/5 (47 download)
Download or read book Iterative Approximation of Fixed Points written by Vasile Berinde and published by Springer. This book was released on 2007-04-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.
Author : Türker Biyikoglu
Publisher : Springer
ISBN 13 : 3540735100
Total Pages : 120 pages
Book Rating : 4.5/5 (47 download)
Download or read book Laplacian Eigenvectors of Graphs written by Türker Biyikoglu and published by Springer. This book was released on 2007-07-07 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating volume investigates the structure of eigenvectors and looks at the number of their sign graphs ("nodal domains"), Perron components, and graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology. Eigenvectors of graph Laplacians may seem a surprising topic for a book, but the authors show that there are subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs.
Author : Geoffrey L. Price
Publisher : American Mathematical Soc.
ISBN 13 : 0821832158
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Advances in Quantum Dynamics written by Geoffrey L. Price and published by American Mathematical Soc.. This book was released on 2003 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Advances in Quantum Dynamics. The purpose of the conference was to assess the current state of knowledge and to outline future research directions of quantum dynamical semigroups on von Neumann algebras. Since the appearance of the landmark papers by F. Murray and J. von Neumann, On the Rings of Operators, von Neumann algebras have been used as a mathematical model in the study of time evolution of quantum mechanical systems.Following the work of M. H. Stone, von Neumann, and others on the structure of one-parameter groups of unitary transformations, many researchers have made fundamental contributions to the understanding of time-reversible dynamical systems. This book deals with the mathematics of time-irreversiblesystems, also called dissipative systems. The time parameter is the half-line, and the transformations are now endomorphisms as opposed to automorphisms. For over a decade, W. B. Arveson and R. T. Powers have pioneered the effort to understand the structure of irreversible quantum dynamical systems on von Neumann algebras. Their papers in this volume serve as an excellent introduction to the theory. Also included are contributions in other areas which have had an impact on the theory, such asBrownian motion, dilation theory, quantum probability, and free probability. The volume is suitable for graduate students and research mathematicians interested in the dynamics of quantum systems and corresponding topics in the theory of operator algebras.
Author : Hartmut Führ
Publisher : Springer
ISBN 13 : 3540315527
Total Pages : 193 pages
Book Rating : 4.5/5 (43 download)
Download or read book Abstract Harmonic Analysis of Continuous Wavelet Transforms written by Hartmut Führ and published by Springer. This book was released on 2005-01-17 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
