Author : Roland Speicher
Publisher : Oxford University Press, USA
Page : 105 pages
File Size : 24,86 MB
Release : 2014-09-11
Category : Combinatorial analysis
ISBN : 9781470402167
Free probability theory, introduced by Voiculescu, has developed very actively and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description allows re-proving of most of Voiculescu's results and also opens the way for many new results.
Author : Roland Speicher
Publisher : American Mathematical Soc.
Page : 105 pages
File Size : 21,85 MB
Release : 1998
Category : Mathematics
ISBN : 0821806939
Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results. Unlike other approaches, this book emphasizes the combinatorial structure of the concept of ``freeness''. This gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.
Author : Roger C. Lyndon
Publisher : Springer
Page : 354 pages
File Size : 32,75 MB
Release : 2015-03-12
Category : Mathematics
ISBN : 3642618960
From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews
Author : Joachim Zacharias
Publisher : American Mathematical Soc.
Page : 135 pages
File Size : 19,51 MB
Release : 2000
Category : Mathematics
ISBN : 0821815458
This book is intended for graduate students and research mathematicians interested in operator algebras
Author : Wolfgang Freudenberg
Publisher : World Scientific
Page : 277 pages
File Size : 25,99 MB
Release : 2003
Category : Science
ISBN : 9812382887
This volume consists of 18 research papers reflecting the impressive progress made in the field. It includes new results on quantum stochastic integration, the stochastic limit, quantum teleportation and other areas. Contents: Markov Property -- Recent Developments on the Quantum Markov Property (L Accardi & F Fidaleo); Stationary Quantum Stochastic Processes from the Cohomological Point of View (G G Amosov); The Feller Property of a Class of Quantum Markov Semigroups II (R Carbone & F Fagnola); Recognition and Teleportation (K-H Fichtner et al.); Prediction Errors and Completely Positive Maps (R Gohm); Multiplicative Properties of Double Stochastic Product Integrals (R L Hudson); Isometric Cocycles Related to Beam Splittings (V Liebscher); Multiplicativity via a Hat Trick (J M Lindsay & S J Wills); Dilation Theory and Continuous Tensor Product Systems of Hilbert Modules (M Skeide); Quasi-Free Fermion Planar Quantum Stochastic Integrals (W J Spring & I F Wilde); and other papers.
Author : Wolfgang Freudenberg
Publisher : World Scientific
Page : 277 pages
File Size : 18,79 MB
Release : 2003-01-28
Category : Mathematics
ISBN : 9814486566
This volume consists of 18 research papers reflecting the impressive progress made in the field. It includes new results on quantum stochastic integration, quantum Markov processes, the stochastic limit, quantum teleportation and other areas.
Author : Ilwoo Cho
Publisher : CRC Press
Page : 442 pages
File Size : 18,10 MB
Release : 2013-09-11
Category : Mathematics
ISBN : 1466590203
This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematic
Author : Ilwoo Cho
Publisher : CRC Press
Page : 1004 pages
File Size : 36,13 MB
Release : 2023-05-12
Category : Mathematics
ISBN : 1000875113
This book not only examines the constructions and free-probabilistic properties of semicircular elements, as defined within the text, but also considers certain Banach-space operators acting on these semicircular elements and shows how they deform (i.e., preserve-or-distort) the semicircular law induced by orthogonal projections. FEATURES Suitable for graduate students and professional researchers in operator theory and/or analysis Numerous applications in related scientific fields and areas
Author : Sergio Albeverio
Publisher : World Scientific
Page : 471 pages
File Size : 11,58 MB
Release : 2004
Category : Mathematics
ISBN : 9812561048
This volume contains 27 refereed research articles and survey papers written by experts in the field of stochastic analysis and related topics. Most contributors are well known leading mathematicians worldwide and prominent young scientists. The volume reflects a review of the recent developments in stochastic analysis and related topics. It puts in evidence the strong interconnection of stochastic analysis with other areas of mathematics, as well as with applications of mathematics in natural and social economic sciences. The volume also provides some possible future directions for the field.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Author : S Attal
Publisher : World Scientific
Page : 314 pages
File Size : 19,54 MB
Release : 2003
Category : Science
ISBN : 981238975X
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.
