Stochastic Spectral Theory For Selfadjoint Feller Operators
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Stochastic Spectral Theory For Selfadjoint Feller Operators
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Author : Michael Demuth
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Stochastic Spectral Theory For Selfadjoint Feller Operators written by Michael Demuth and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
A beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. For such operators regular and singular perturbations of order zero and their spectral properties are investigated. A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems. The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory.
Stochastic Spectral Theory For Selfadjoint Feller Operators
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Author : Michael Demuth
language : en
Publisher: Birkhauser
Release Date : 2000
Stochastic Spectral Theory For Selfadjoint Feller Operators written by Michael Demuth and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.
Stochastic Spectral Theory For Selfadjoint Feller Operators
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-07-27
Stochastic Spectral Theory For Selfadjoint Feller Operators written by Michael Demuth 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 2000-07-27 with Mathematics categories.
In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.
Mathematical Physics Spectral Theory And Stochastic Analysis
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08
Mathematical Physics Spectral Theory And Stochastic Analysis written by Michael Demuth 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 2014-07-08 with Mathematics categories.
This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.
Operator Calculus And Spectral Theory
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Author : M. Demuth
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Operator Calculus And Spectral Theory written by M. Demuth and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.
Partial Differential Equations And Spectral Theory
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Author : Michael Demuth
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Partial Differential Equations And Spectral Theory written by Michael Demuth and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.
Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations
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Author : Sergio Albeverio
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations written by Sergio Albeverio and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".
Determining Spectra In Quantum Theory
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-12
Determining Spectra In Quantum Theory written by Michael Demuth 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 2006-09-12 with Mathematics categories.
This work focuses on various known criteria in the spectral theory of selfadjoint operators. The concise, unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials. But given the large gap this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory.
Handbooks In Operations Research And Management Science Financial Engineering
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Author : John R. Birge
language : en
Publisher: Elsevier
Release Date : 2007-11-16
Handbooks In Operations Research And Management Science Financial Engineering written by John R. Birge and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-16 with Business & Economics categories.
The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.
Mathematical Results In Quantum Mechanics
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Author : Pavel Exner
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Mathematical Results In Quantum Mechanics written by Pavel Exner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This work contains contributions presented at the conference, QMath-8: Mathematical Results in Quantum Mechanics'', held at Universidad Nacional Autonoma de Mexico in December 2001. The articles cover a wide range of mathematical problems and focus on various aspects of quantum mechanics, quantum field theory and nuclear physics. Topics vary from spectral properties of the Schrodinger equation of various quantum systems to the analysis of quantum computation algorithms. The book should be suitable for graduate students and research mathematicians interested in the mathematical aspects of quantum mechanics.