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Author : R. Jajte
Publisher : Springer
ISBN 13 : 3540391398
Total Pages : 159 pages
Book Rating : 4.5/5 (43 download)
Download or read book Strong Limit Theorems in Non-Commutative Probability written by R. Jajte and published by Springer. This book was released on 2007-01-05 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ryszard Jajte
Publisher :
ISBN 13 : 9780387139159
Total Pages : 152 pages
Book Rating : 4.1/5 (391 download)
Download or read book Arbeitstagung Bonn, 1984 written by Ryszard Jajte and published by . This book was released on 1985 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ryszard Jajte
Publisher : Springer
ISBN 13 : 3540475125
Total Pages : 122 pages
Book Rating : 4.5/5 (44 download)
Download or read book Strong Limit Theorems in Noncommutative L2-Spaces written by Ryszard Jajte and published by Springer. This book was released on 2006-12-08 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc. The proofs introduce new techniques in von Neumann algebras. The reader is assumed to master the fundamentals of functional analysis and probability. The book is written mainly for mathematicians and physicists familiar with probability theory and interested in applications of operator algebras to quantum statistical mechanics.
Author : Alexander Bulinski
Publisher : World Scientific
ISBN 13 : 9814474576
Total Pages : 447 pages
Book Rating : 4.8/5 (144 download)
Download or read book Limit Theorems For Associated Random Fields And Related Systems written by Alexander Bulinski and published by World Scientific. This book was released on 2007-09-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of asymptotic properties of wide classes of stochastic systems arising in mathematical statistics, percolation theory, statistical physics and reliability theory. Attention is paid not only to positive and negative associations introduced in the pioneering papers by Harris, Lehmann, Esary, Proschan, Walkup, Fortuin, Kasteleyn and Ginibre, but also to new and more general dependence conditions. Naturally, this scope comprises families of independent real-valued random variables. A variety of important results and examples of Markov processes, random measures, stable distributions, Ising ferromagnets, interacting particle systems, stochastic differential equations, random graphs and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability theory (central limit theorem for random fields, weak and strong invariance principles, functional law of the iterated logarithm etc.) and discuss their applications.There are 434 items in the bibliography.The book is self-contained, provides detailed proofs, for reader's convenience some auxiliary results are included in the Appendix (e.g. the classical Hoeffding lemma, basic electric current theory etc.).
Author : Luigi Accardi
Publisher : World Scientific
ISBN 13 : 9814501301
Total Pages : 427 pages
Book Rating : 4.8/5 (145 download)
Download or read book Quantum Probability And Related Topics: Qp-pq (Volume Ix) written by Luigi Accardi and published by World Scientific. This book was released on 1994-12-16 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.
Author : Erich Häusler
Publisher : Springer
ISBN 13 : 331918329X
Total Pages : 231 pages
Book Rating : 4.3/5 (191 download)
Download or read book Stable Convergence and Stable Limit Theorems written by Erich Häusler and published by Springer. This book was released on 2015-06-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept. Stable convergence holds in many limit theorems of probability theory and statistics – such as the classical central limit theorem – which are usually formulated in terms of convergence in distribution. Originated by Alfred Rényi, the notion of stable convergence is stronger than the classical weak convergence of probability measures. A variety of methods is described which can be used to establish this stronger stable convergence in many limit theorems which were originally formulated only in terms of weak convergence. Naturally, these stronger limit theorems have new and stronger consequences which should not be missed by neglecting the notion of stable convergence. The presentation will be accessible to researchers and advanced students at the master's level with a solid knowledge of measure theoretic probability.
Author : Lin Zhengyan
Publisher : Springer Science & Business Media
ISBN 13 : 9401730970
Total Pages : 204 pages
Book Rating : 4.4/5 (17 download)
Download or read book Strong Limit Theorems written by Lin Zhengyan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an up-to-date review of the most significant developments in strong Approximation and strong convergence in probability theory. The book consists of three chapters. The first deals with Wiener and Gaussian processes. Chapter 2 is devoted to the increments of partial sums of independent random variables. Chapter 3 concentrates on the strong laws of processes generated by infinite-dimensional Ornstein-Uhlenbeck processes. For researchers whose work involves probability theory and statistics.
Author : Andrei N. Frolov
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811212826
Total Pages : 0 pages
Book Rating : 4.2/5 (128 download)
Download or read book Universal Theory for Strong Limit Theorems of Probability written by Andrei N. Frolov and published by World Scientific Publishing Company. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong laws and large deviations -- Large deviations for sums of independent random variables -- Strong limit theorems for sums of independent random variables -- Strong limit theorems for processes with independent increments -- Strong limit theorems for renewal processes -- Increments of sums of independent random variables over head runs and monotone blocks.
Author : I. Cuculescu
Publisher : Springer Science & Business Media
ISBN 13 : 9401583749
Total Pages : 367 pages
Book Rating : 4.4/5 (15 download)
Download or read book Noncommutative Probability written by I. Cuculescu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to explain to a mathematician having no previous knowledge in this domain, what "noncommutative probability" is. So the first decision was not to concentrate on a special topic. For different people, the starting points of such a domain may be different. In what concerns this question, different variants are not discussed. One such variant comes from Quantum Physics. The motivations in this book are mainly mathematical; more precisely, they correspond to the desire of developing a probability theory in a new set-up and obtaining results analogous to the classical ones for the newly defined mathematical objects. Also different mathematical foundations of this domain were proposed. This book concentrates on one variant, which may be described as "von Neumann algebras". This is true also for the last chapter, if one looks at its ultimate aim. In the references there are some papers corresponding to other variants; we mention Gudder, S.P. &al (1978). Segal, I.E. (1965) also discusses "basic ideas".
Author : Tao Mei
Publisher : American Mathematical Soc.
ISBN 13 : 0821839802
Total Pages : 78 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Valued Hardy Spaces written by Tao Mei and published by American Mathematical Soc.. This book was released on 2007 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author gives a systematic study of the Hardy spaces of functions with values in the noncommutative $Lp$-spaces associated with a semifinite von Neumann algebra $\mathcal{M .$ This is motivated by matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), as well as by the recent development of noncommutative martingale inequalities. in this paper noncommutative Hardy spaces are defined by noncommutative Lusin integral function, and it isproved that they are equivalent to those defined by noncommutative Littlewood-Paley G-functions. The main results of this paper include: (i) The analogue in the author's setting of the classical Fefferman duality theorem between $\mathcal{H 1$ and $\mathrm{BMO $. (ii) The atomic decomposition of theauthor's noncommutative $\mathcal{H 1.$ (iii) The equivalence between the norms of the noncommutative Hardy spaces and of the noncommutative $Lp$-spaces $(1
Author :
Publisher : Elsevier
ISBN 13 : 0080533507
Total Pages : 873 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2003-05-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Geometry of Banach Spaces
Author : Luigi Accardi
Publisher : Springer
ISBN 13 : 3540467130
Total Pages : 367 pages
Book Rating : 4.5/5 (44 download)
Download or read book Quantum Probability and Applications IV written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allowed several open problems to be solved and several inexpected connections to be revealed.
Author : Yu.V. Prokhorov
Publisher : Springer Science & Business Media
ISBN 13 : 3662041723
Total Pages : 280 pages
Book Rating : 4.6/5 (62 download)
Download or read book Limit Theorems of Probability Theory written by Yu.V. Prokhorov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.
Author : Luigi Accardi
Publisher : Springer
ISBN 13 : 3540463119
Total Pages : 425 pages
Book Rating : 4.5/5 (44 download)
Download or read book Quantum Probability and Applications V written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the workshop on quantum probability held in Heidelberg, September 26-30, 1988 contains a representative selection of research articles on quantum stochastic processes, quantum stochastic calculus, quantum noise, geometry, quantum probability, quantum central limit theorems and quantum statistical mechanics.
Author : Habib Ouerdiane
Publisher : World Scientific
ISBN 13 : 9814295434
Total Pages : 314 pages
Book Rating : 4.8/5 (142 download)
Download or read book Quantum Probability and Infinite Dimensional Analysis written by Habib Ouerdiane and published by World Scientific. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the central extensions of the Heisenberg algebra / L. Accardi & A. Boukas -- Representations of the Lévy-Meixner oscillator algebra and the overcompleteness of the associated sequences of coherent states / A. Barhoumi, H. Ouerdiane & A. Riahi -- Some systems of dualities in white noise analysis / T. Hida -- Quantum white noise derivatives and associated differential equations for white noise operators / U.C. Ji & N. Obata -- The Gibbs conditioning principle for white noise distributions : interacting and non-interacting cases / F. Cipriano, S. Gheryani & H. Ouerdiane -- Markov triplets on CAR algebras / J. Pitrik -- Quantum Fokker-Planck models : limiting case in the Lindblad condition / F. Fagnola & L. Neumann -- Generalized Euler heat equation / A. Barhoumi, H. Ouerdiane & H. Rguigui -- On quantum De Finetti's theorems / V. Crismale & Y.G. Lu -- Kolmogorovian model for EPR-experiment / D. Avis [und weitere] -- Free white noise stochastic equation / L. Accardi, W. Ayed & H. Ouerdiane -- Lévy models robustness and sensitivity / F.E. Benth, G. Di Nunno & A. Khedher -- Quantum heat equation with quantum K-Gross Laplacian : solutions and integral representation / S. Horrigue & H. Ouerdiane -- On Marginal Markov processes of quantum quadratic stochastic processes / F. Mukhamedov -- On the applicability of multiplicative renormalization method for certain power functions / I. Kubo, H.-H. Kuo & S. Namli -- Convolution equation : solution and probabilistic representation / J.L. Da Silva, M. Erraoui & H. Ouerdiane -- From classical to quantum entropy production / F. Fagnola & R. Rebolledo -- Extending the set of quadratic exponential vectors / L. Accardi, A. Dhahri & M. Skeide -- On operator-parameter transforms based on nuclear algebra of entire functions and applications / A. Barhoumi [und weitere] -- Dissipative quantum annealing / D. de Falco, E. Pertoso & D. Tamascelli
Author : Alexander Katz
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110413558
Total Pages : 318 pages
Book Rating : 4.1/5 (14 download)
Download or read book Topological Algebras and their Applications written by Alexander Katz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-07 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 8th International Conference of Topological Algebras and Their Applications (ICTAA-2014), held on May 26-30, 2014 in Playa de Villas de Mar Beach, dedicated to the memory of Anastasios Mallios (Athens, Greece). This series of conferences started in 1999 in Tartu, Estonia and were subsequently held in Rabat, Moroco (2000), Oulu, Finland (2001), Oaxaca, Mexico (2002), Bedlewo, Poland (2003), Athens, Greece (2005) and Tartu, Estonia (2008 and 2013). The topics of the conference include all areas of mathematics, connected with (preferably general) topological algebras and their applications, including all kinds of topological-algebraic structures as topological linear spaces, topological rings, topological modules, topological groups and semigroups; bornological-algebraic structures such as bornological linear spaces, bornological algebras, bornological groups, bornological rings and modules; algebraic and topological K-theory; topological module bundles, sheaves and others. Contents Some results on spectral properties of unital algebras and on the algebra of linear operators on a unital algebra Descriptions of all closed maximal one-sided ideals in topological algebras On non self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces Functional calculus on algebras of operators generated by a self-adjoint operator in Pontryagin space Π1 On Gelfand-Naimark type Theorems for unital abelian complex and real locally C*-, and locally JB-algebras Multipliers and strictly real topological algebras Multipliers in some perfect locally m-pseudo-convex algebras Wedderburn structure theorems for two-sided locally m-convex H*-algebras Homologically best modules in classical and quantized functional analysis Operator Grüss inequality Main embedding theorems for symmetric spaces of measurable functions Mapping class groups are linear Subnormable A-convex algebras Commutative BP*-algebras and Gelfand-Naimark’s theorem Discrete nonclosed subsets in maximally nondiscrete topological groups Faithfully representable topological *-algebras: some spectral properties On continuity of complementors in topological algebras Dominated ergodic theorem for isometries of non-commutative Lp-spaces, 1 p p ≠ 2 Ranks and the approximate n-th root property of C*-algebras Dense ideals in topological algebras: some results and open problems
Author : Habib Ouerdiane
Publisher : World Scientific
ISBN 13 : 9814465631
Total Pages : 314 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 29th Conference written by Habib Ouerdiane and published by World Scientific. This book was released on 2010-02-10 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia.
