Stochastic Processes Physics And Geometry 1

Author : Sergio Albeverio,Fritz Gesztesy
Publisher : American Mathematical Soc.
Page : 348 pages
File Size : 43,8 Mb
Release : 2000
Category : Mathematics
ISBN : 0821819593

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Stochastic Processes, Physics and Geometry: New Interplays. I by Sergio Albeverio,Fritz Gesztesy Pdf

This volume and "IStochastic Processes, Physics and Geometry: New Interplays II" present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are high-level research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Members of the Canadian Mathematical Society may order at the AMS member price.

Author : Sergio Albeverio,Giulio Casati,D Merlini,R Moresi,G Cattaneo
Publisher : World Scientific
Page : 760 pages
File Size : 50,5 Mb
Release : 1990-10-15
Category : Mathematics
ISBN : 9789813201224

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Stochastic Processes, Physics And Geometry by Sergio Albeverio,Giulio Casati,D Merlini,R Moresi,G Cattaneo Pdf

Author : Sergio Albeverio,Fritz Gesztesy
Publisher : American Mathematical Soc.
Page : 650 pages
File Size : 49,5 Mb
Release : 2000
Category : Mathematics
ISBN : 0821819607

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Stochastic Processes, Physics and Geometry: New Interplays. II by Sergio Albeverio,Fritz Gesztesy Pdf

This volume and Stochastic Processes, Physics and Geometry: New Interplays I present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are high-level research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Members of the Canadian Mathematical Society may order at the AMS member price.

Author : Sergio Albeverio,D Merlini,U Cattaneo
Publisher : World Scientific
Page : 758 pages
File Size : 48,7 Mb
Release : 1995-02-17
Category : Electronic
ISBN : 9789814549691

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Stochastic Processes, Physics And Geometry Ii - Proceedings Of The Iii International Conference by Sergio Albeverio,D Merlini,U Cattaneo Pdf

As was already evident from the previous two meetings, the theory of stochastic processes, the study of geometrical structures, and the investigation of certain physical problems are inter-related. In fact the trend in recent years has been towards stronger interactions between these areas. As a result, a large component of the contributions is concerned with the theory of stochastic processes, quantum theory, and their relations.

Author : Sergio Albeverio,Philip Blanchard,Michiel Hazewinkel,L. Streit
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400928930

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Stochastic Processes in Physics and Engineering by Sergio Albeverio,Philip Blanchard,Michiel Hazewinkel,L. Streit Pdf

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. O. K. Chesterton. The Scandal of Father 'The Hermit Qad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Author : Richard Bellman
Publisher : American Mathematical Soc.
Page : 328 pages
File Size : 47,5 Mb
Release : 1964
Category : Engineering mathematics
ISBN : 9780821813164

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Stochastic Processes in Mathematical Physics and Engineering by Richard Bellman Pdf

Author : Fritz Gesztesy
Publisher : Unknown
Page : 128 pages
File Size : 42,9 Mb
Release : 2000
Category : Mathematical physics
ISBN : LCCN:00046237

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Stochastic Processes, Physics, and Geometry by Fritz Gesztesy Pdf

Author : Reinhard Mahnke,Jevgenijs Kaupuzs,Ihor Lubashevsky
Publisher : John Wiley & Sons
Page : 447 pages
File Size : 47,9 Mb
Release : 2009-08-04
Category : Science
ISBN : 9783527626106

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Physics of Stochastic Processes by Reinhard Mahnke,Jevgenijs Kaupuzs,Ihor Lubashevsky Pdf

Based on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels. Solutions manual available for lecturers on www.wiley-vch.de

Author : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 47,8 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 9780817648039

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Stochastic Models, Information Theory, and Lie Groups, Volume 1 by Gregory S. Chirikjian Pdf

This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Author : N. G. van Kampen
Publisher : North Holland
Page : 442 pages
File Size : 47,5 Mb
Release : 1981
Category : Mathematics
ISBN : UOM:39015053348259

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Stochastic Processes in Physics and Chemistry by N. G. van Kampen Pdf

This new edition of Van Kampen's standard work has been completely revised and updated. Three major changes have also been made. The Langevin equation receives more attention in a separate chapter in which non-Gaussian and colored noise are introduced. Another additional chapter contains old and new material on first-passage times and related subjects which lay the foundation for the chapter on unstable systems. Finally a completely new chapter has been written on the quantum mechanical foundations of noise. The references have also been expanded and updated.

Author : Masao Nagasawa
Publisher : Birkhäuser
Page : 609 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883832

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Stochastic Processes in Quantum Physics by Masao Nagasawa Pdf

From the reviews: "The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level. The book under review is recommended to mathematicians, physicists and graduate students interested in mathematical physics and stochastic processes. Furthermore, some selected chapters can be used as sub-textbooks for advanced courses on stochastic processes, quantum theory and quantum chemistry." ZAA

Author : Sergio Albeverio,Philip Blanchard,L. Streit
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400921177

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Stochastic Processes and their Applications by Sergio Albeverio,Philip Blanchard,L. Streit Pdf

'Et moi ..., si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt\.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. :; 'One service logic has rendered com puter science .. :; 'One service category theory has rendered mathematics .. :. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Author : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 42,9 Mb
Release : 2011-11-16
Category : Mathematics
ISBN : 9780817649449

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Stochastic Models, Information Theory, and Lie Groups, Volume 2 by Gregory S. Chirikjian Pdf

This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Author : Sung Nok Chiu,Dietrich Stoyan,Wilfrid S. Kendall,Joseph Mecke
Publisher : John Wiley & Sons
Page : 561 pages
File Size : 43,5 Mb
Release : 2013-06-27
Category : Mathematics
ISBN : 9781118658253

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Stochastic Geometry and Its Applications by Sung Nok Chiu,Dietrich Stoyan,Wilfrid S. Kendall,Joseph Mecke Pdf

An extensive update to a classic text Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, engineering, biology and environmental sciences. They offer successful models for the description of random two- and three-dimensional micro and macro structures and statistical methods for their analysis. The previous edition of this book has served as the key reference in its field for over 18 years and is regarded as the best treatment of the subject of stochastic geometry, both as a subject with vital applications to spatial statistics and as a very interesting field of mathematics in its own right. This edition: Presents a wealth of models for spatial patterns and related statistical methods. Provides a great survey of the modern theory of random tessellations, including many new models that became tractable only in the last few years. Includes new sections on random networks and random graphs to review the recent ever growing interest in these areas. Provides an excellent introduction to theory and modelling of point processes, which covers some very latest developments. Illustrate the forefront theory of random sets, with many applications. Adds new results to the discussion of fibre and surface processes. Offers an updated collection of useful stereological methods. Includes 700 new references. Is written in an accessible style enabling non-mathematicians to benefit from this book. Provides a companion website hosting information on recent developments in the field www.wiley.com/go/cskm Stochastic Geometry and its Applications is ideally suited for researchers in physics, materials science, biology and ecological sciences as well as mathematicians and statisticians. It should also serve as a valuable introduction to the subject for students of mathematics and statistics.

Author : Anonim
Publisher : Unknown
Page : 290 pages
File Size : 52,7 Mb
Release : 2007
Category : Noncommutative differential geometry
ISBN : 0511269412

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Quantum Stochastic Processes and Noncommutative Geometry by Anonim Pdf

The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.