Quantum Stochastic Calculus And Representations Of Lie Superalgebras
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Quantum Stochastic Calculus And Representations Of Lie Superalgebras
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Author : Timothy M.W. Eyre
language : en
Publisher: Springer
Release Date : 2006-11-14
Quantum Stochastic Calculus And Representations Of Lie Superalgebras written by Timothy M.W. Eyre and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is particularly interesting. The book aims to provide a self-contained exposition of what is known about Z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.
Quantum Stochastic Calculus And Representations For Lie Superalgebras
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Author : Timothy M. W. Eyre
language : en
Publisher:
Release Date : 1998
Quantum Stochastic Calculus And Representations For Lie Superalgebras written by Timothy M. W. Eyre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The Art Of Random Walks
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Author : Andras Telcs
language : en
Publisher: Springer
Release Date : 2006-10-18
The Art Of Random Walks written by Andras Telcs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-18 with Mathematics categories.
The main aim of this book is to reveal connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies heat diffusion at this general level and discusses the multiplicative Einstein relation; Isoperimetric inequalities; and Heat kernel estimates; Elliptic and parabolic Harnack inequality.
Asymptotics For Dissipative Nonlinear Equations
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Author : Nakao Hayashi
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-21
Asymptotics For Dissipative Nonlinear Equations written by Nakao Hayashi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-21 with Mathematics categories.
Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Dynamical Systems Graphs And Algorithms
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Author : George Osipenko
language : en
Publisher: Springer
Release Date : 2006-10-28
Dynamical Systems Graphs And Algorithms written by George Osipenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-28 with Mathematics categories.
This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
Regular Variation And Differential Equations
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Author : Vojislav Maric
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-03-27
Regular Variation And Differential Equations written by Vojislav Maric and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-27 with Mathematics categories.
This book constitutes the refereed proceedings of the Third Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD '99, held in Beijing, China, in April 1999. The 29 revised full papers presented together with 37 short papers were carefully selected from a total of 158 submissions. The book is divided into sections on emerging KDD technology; association rules; feature selection and generation; mining in semi-unstructured data; interestingness, surprisingness, and exceptions; rough sets, fuzzy logic, and neural networks; induction, classification, and clustering; visualization; causal models and graph-based methods; agent-based and distributed data mining; and advanced topics and new methodologies.
In Memoriam Paul Andr Meyer S Minaire De Probabilit S Xxxix
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Author : Marc Yor
language : en
Publisher: Springer
Release Date : 2006-10-17
In Memoriam Paul Andr Meyer S Minaire De Probabilit S Xxxix written by Marc Yor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-17 with Mathematics categories.
The 39th volume of Séminaire de Probabilités is a tribute to the memory of Paul André Meyer. His life and achievements are recalled in this book, and tributes are paid by his friends and colleagues. This volume also contains mathematical contributions to classical and quantum stochastic calculus, the theory of processes, martingales and their applications to mathematical finance and Brownian motion. These contributions provide an overview on the current trends of stochastic calculus.
The Lace Expansion And Its Applications
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Author : Gordon Slade
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-17
The Lace Expansion And Its Applications written by Gordon Slade and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-17 with Mathematics categories.
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models.
The Wulff Crystal In Ising And Percolation Models
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Author : Raphaël Cerf
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-12
The Wulff Crystal In Ising And Percolation Models written by Raphaël Cerf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-12 with Mathematics categories.
This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.
Cooperative Decision Making In Common Pool Situations
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Author : Holger I. Meinhardt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cooperative Decision Making In Common Pool Situations written by Holger I. Meinhardt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
The monograph gives a theoretical explanation of observed cooperative behavior in common pool situations. The incentives for cooperative decision making are investigated by means of a cooperative game theoretical framework. In a first step core existence results are worked out. Whereas general core existence results provide us with an answer for mutual cooperation, nothing can be said how strong these incentives and how stable these cooperative agreements are. To clarify these questions the convexity property for common pool TU-games in scrutinized in a second step. It is proved that the convexity property holds for a large subclass of symmetrical as well as asymmetrical cooperative common pool games. Core existence and the convexity results provide us with a theoretical explanation to bridge the gap between the observation in field studies for cooperation and the noncooperative prediction that the common pool resource will be overused and perhaps endangered.