Symmetric Hilbert Spaces And Related Topics
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Symmetric Hilbert Spaces and Related Topics
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 388 |
Release | : 1971* |
Genre | : Gaussian processes |
ISBN | : OCLC:47820900 |
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Symmetric Hilbert Spaces and Related Topics
Author | : Alain Guichardet |
Publsiher | : Unknown |
Total Pages | : 212 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 366216583X |
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Symmetric Hilbert Spaces and Related Topics
Author | : Alain Guichardet |
Publsiher | : Springer |
Total Pages | : 203 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540374558 |
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Representation of Lie Groups and Related Topics
Author | : Anatoliĭ Moiseevich Vershik,Dmitriĭ Petrovich Zhelobenko |
Publsiher | : CRC Press |
Total Pages | : 576 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 2881246788 |
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Eight papers provide mature readers with careful review of progress (through about 1983) toward the creation of a theory of the representations of infinite-dimensional Lie groups and algebras, and of some related topics. Recent developments in physics have provided major impetus for the development of such a theory, and the volume will be of special interest to mathematical physicists (quantum field theorists). Translated from the Russian edition of unstated date, and beautifully produced (which--at the price--it should be!). Book club price, $118. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Quantum Probability Related Topics
Author | : Luigi Accardi |
Publsiher | : World Scientific |
Total Pages | : 544 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9810207166 |
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This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based on the notion of free independence rather than the usual Boson or Fermion independence is discussed. A surprising result is that the role of the Gaussian for this new type of independence is played by the Wigner distribution. This motivated the introduction of new type of quantum independent increments noise, the free noise and the corresponding stochastic calculus. A further generalization, the ?-noises, is discussed. The free stochastic calculus is shown to be able to fit naturally into the general representation free calculus. The basic free are shown to be realized as non-adapted stochastic integrals with respect to the usual Boson white noises. Quantum noise on the finite difference algebra is expressed in terms of the usual Boson white noises. A new quantum way of looking at classical stochastic flows, in particular diffusions on Riemannian Manifolds is explained. Quantum groups are discussed from the point of view of possible applications to quantum probability. The applications of quantum probability to physics are surveyed.
New Trends in Stochastic Analysis and Related Topics
Author | : Huaizhong Zhao,Aubrey Truman |
Publsiher | : World Scientific |
Total Pages | : 458 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9789814360913 |
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The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.
Topics In Quantum Field Theory Modern Methods In Fundamental Physics
Author | : D H Tchrakian |
Publsiher | : World Scientific |
Total Pages | : 214 |
Release | : 1995-12-30 |
Genre | : Electronic Book |
ISBN | : 9789814548915 |
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This book constitutes the proceedings of a meeting which brought together contributors from the four European networks in the area of the theory of fundamental interactions. While each of these networks overlaps strongly with all the others, this coming together gives the proceedings a greater than usual breadth of subjects nevertheless. The wide range of topics in quantum field theory covered includes Hamiltonian and semiclassical methods, critical phenomena and various aspects of classical and quantum gravity including also a study in the detection of gravitational radiation. This, together with the leading item on the recent history of the subject, gives an overall perspective of the many new research directions in this area.
Quantum Independent Increment Processes I
Author | : David Applebaum,B.V. Rajarama Bhat,Johan Kustermans,J. Martin Lindsay |
Publsiher | : Springer |
Total Pages | : 299 |
Release | : 2005-09-14 |
Genre | : Mathematics |
ISBN | : 9783540314509 |
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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.