Stochastic Processes Physics And Geometry New Interplays I

Author : Sergio Albeverio,Fritz Gesztesy
Publisher : American Mathematical Soc.
Page : 348 pages
File Size : 54,8 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 : Fritz Gesztesy
Publisher : Unknown
Page : 128 pages
File Size : 42,7 Mb
Release : 2000
Category : Mathematical physics
ISBN : LCCN:00046237

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Stochastic Processes, Physics, and Geometry by Fritz Gesztesy Pdf

Author : Sergio Albeverio
Publisher : Unknown
Page : 0 pages
File Size : 49,5 Mb
Release : 2000
Category : Mathematical physics
ISBN : 0821819607

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Stochastic Processes, Physics, and Geometry by Sergio Albeverio Pdf

Author : Fritz Gesztesy
Publisher : Unknown
Page : 0 pages
File Size : 43,7 Mb
Release : 2000
Category : Electronic
ISBN : 0821819607

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Stochastic Processes, Physics and Geometry 1 by Fritz Gesztesy Pdf

Author : Sergio Albeverio,Giulio Casati,D Merlini,R Moresi,G Cattaneo
Publisher : World Scientific
Page : 760 pages
File Size : 47,5 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 : 46,8 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,Philip Blanchard,Michiel Hazewinkel,L. Streit
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 50,5 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 : Yuri E. Gliklikh
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 53,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401586344

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Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics by Yuri E. Gliklikh Pdf

The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics. In particular, during the last decades a new branch of Global Analysis, Stochastic Differential Geometry, was formed to meet the needs of Mathematical Physics. It deals with a lot of various second order differential equations on finite and infinite-dimensional manifolds arising in Physics, and its validity is based on the deep inter-relation between modem Differential Geometry and certain parts of the Theory of Stochastic Processes, discovered not so long ago. The foundation of our topic is presented in the contemporary mathematical literature by a lot of publications devoted to certain parts of the above-mentioned themes and connected with the scope of material of this book. There exist some monographs on Stochastic Differential Equations on Manifolds (e. g. [9,36,38,87]) based on the Stratonovich approach. In [7] there is a detailed description of It6 equations on manifolds in Belopolskaya-Dalecky form. Nelson's book [94] deals with Stochastic Mechanics and mean derivatives on Riemannian Manifolds. The books and survey papers on the Lagrange approach to Hydrodynamics [2,31,73,88], etc. , give good presentations of the use of infinite-dimensional ordinary differential geometry in ideal hydrodynamics. We should also refer here to [89,102], to the previous books by the author [53,64], and to many others.

Author : Richard Bellman
Publisher : American Mathematical Soc.
Page : 328 pages
File Size : 54,5 Mb
Release : 1964
Category : Engineering mathematics
ISBN : 9780821813164

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Stochastic Processes in Mathematical Physics and Engineering by Richard Bellman Pdf

Author : A.B. Cruzeiro,J.-C. Zambrini
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201274

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Stochastic Analysis and Mathematical Physics by A.B. Cruzeiro,J.-C. Zambrini Pdf

This volume represents the outgrowth of an ongoing workshop on stochastic analysis held in Lisbon. The nine survey articles in the volume extend concepts from classical probability and stochastic processes to a number of areas of mathematical physics. It is a good reference text for researchers and advanced students in the fields of probability, stochastic processes, analysis, geometry, mathematical physics, and physics. Key topics covered include: nonlinear stochastic wave equations, completely positive maps, Mehler-type semigroups on Hilbert spaces, entropic projections, and many others.

Author : Huaizhong Zhao,Aubrey Truman
Publisher : World Scientific
Page : 458 pages
File Size : 53,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814360913

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New Trends in Stochastic Analysis and Related Topics by Huaizhong Zhao,Aubrey Truman Pdf

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.

Author : Helge Holden,Barry Simon,Gerald Teschl
Publisher : American Mathematical Soc.
Page : 409 pages
File Size : 53,7 Mb
Release : 2013-07-08
Category : Mathematics
ISBN : 9780821875742

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Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday by Helge Holden,Barry Simon,Gerald Teschl Pdf

This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu

Author : Anonim
Publisher : Unknown
Page : 776 pages
File Size : 48,9 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015069723800

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Mathematical Reviews by Anonim Pdf

Author : Sergio Albeverio,Ruzong Fan,Frederik S. Herzberg
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 50,5 Mb
Release : 2011-05-27
Category : Mathematics
ISBN : 9783642196591

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Hyperfinite Dirichlet Forms and Stochastic Processes by Sergio Albeverio,Ruzong Fan,Frederik S. Herzberg Pdf

This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "nonstandard analysis." Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite- and infinite-dimensional spaces. The present monograph provides a thorough treatment of the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.

Author : Philippe Blanchard,Gianfausto Dell'Antonio
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780817682026

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Multiscale Methods in Quantum Mechanics by Philippe Blanchard,Gianfausto Dell'Antonio Pdf

This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics.