Classification of $E_0$-Semigroups by Product Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Classification of $E_0$-Semigroups by Product Systems PDF full book. Access full book title Classification of $E_0$-Semigroups by Product Systems by Michael Skeide. Download full books in PDF and EPUB format.
Author: Michael Skeide
Publisher: American Mathematical Soc.
ISBN: 1470417383
Category : Mathematics
Languages : en
Pages : 138
Get Book Here
Book Description
In these notes the author presents a complete theory of classification of E0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.
Author: Michael Skeide
Publisher: American Mathematical Soc.
ISBN: 1470417383
Category : Mathematics
Languages : en
Pages : 138
Get Book Here
Book Description
In these notes the author presents a complete theory of classification of E0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.
Author: Geoffrey L. Price
Publisher: American Mathematical Soc.
ISBN: 0821832158
Category : Mathematics
Languages : en
Pages : 338
Get Book Here
Book Description
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: William Arveson
Publisher: American Mathematical Soc.
ISBN: 0821803816
Category : Mathematics
Languages : en
Pages : 239
Get Book Here
Book Description
This book describes the outstanding recent progress in this important and challenging field and presents general background for the scientific context and specifics regarding key difficulties. Quantization is developed in the context of rigorous nonlinear quantum field theory in four dimensions and in connection with symplectic manifold theory and random Schrödinger operators. Nonlinear wave equations are exposed in relation to recent important progress in general relativity, in purely mathematical terms of microlocal analysis, and as represented by progress on the relativistic Boltzmann equation. Most of the developments in this volume appear in book form for the first time. The resulting work is a concise and informative way to explore the field and the spectrum of methods available for its investigation.
Author: William Arveson
Publisher: Springer Science & Business Media
ISBN: 0387215247
Category : Mathematics
Languages : en
Pages : 442
Get Book Here
Book Description
This book introduces the notion of an E-semigroup, a generalization of the known concept of E_O-semigroup. These objects are families of endomorphisms of a von Neumann algebra satisfying certain natural algebraic and continuity conditions. Its thorough approach is ideal for graduate students and research mathematicians.
Author: Charles Fefferman
Publisher: American Mathematical Soc.
ISBN: 1470423235
Category : Mathematics
Languages : en
Pages : 132
Get Book Here
Book Description
The authors study a class of periodic Schrodinger operators, which in distinguished cases can be proved to have linear band-crossings or ``Dirac points''. They then show that the introduction of an ``edge'', via adiabatic modulation of these periodic potentials by a domain wall, results in the bifurcation of spatially localized ``edge states''. These bound states are associated with the topologically protected zero-energy mode of an asymptotic one-dimensional Dirac operator. The authors' model captures many aspects of the phenomenon of topologically protected edge states for two-dimensional bulk structures such as the honeycomb structure of graphene. The states the authors construct can be realized as highly robust TM-electromagnetic modes for a class of photonic waveguides with a phase-defect.
Author: Xin-Rong Dai
Publisher: American Mathematical Soc.
ISBN: 1470420155
Category : Mathematics
Languages : en
Pages : 116
Get Book Here
Book Description
A longstanding problem in Gabor theory is to identify time-frequency shifting lattices aZ×bZ and ideal window functions χI on intervals I of length c such that {e−2πinbtχI(t−ma): (m,n)∈Z×Z} are Gabor frames for the space of all square-integrable functions on the real line. In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above abc-problem for Gabor systems.
Author: Masayasu Aotani
Publisher:
ISBN:
Category :
Languages : en
Pages : 378
Get Book Here
Book Description
Author: Joachim Zacharias
Publisher: American Mathematical Soc.
ISBN: 0821815458
Category : Mathematics
Languages : en
Pages : 135
Get Book Here
Book Description
This book is intended for graduate students and research mathematicians interested in operator algebras
Author: E. Delaygue
Publisher: American Mathematical Soc.
ISBN: 1470423006
Category : Mathematics
Languages : en
Pages : 106
Get Book Here
Book Description
Using Dwork's theory, the authors prove a broad generalization of his famous -adic formal congruences theorem. This enables them to prove certain -adic congruences for the generalized hypergeometric series with rational parameters; in particular, they hold for any prime number and not only for almost all primes. Furthermore, using Christol's functions, the authors provide an explicit formula for the “Eisenstein constant” of any hypergeometric series with rational parameters. As an application of these results, the authors obtain an arithmetic statement “on average” of a new type concerning the integrality of Taylor coefficients of the associated mirror maps. It contains all the similar univariate integrality results in the literature, with the exception of certain refinements that hold only in very particular cases.
Author: Rolando Rebolledo
Publisher: World Scientific
ISBN: 9814338745
Category : Mathematics
Languages : en
Pages : 339
Get Book Here
Book Description
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. 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.
