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Scattering Theory Some Old And New Problems
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Book Synopsis Scattering Theory: Some Old and New Problems by : Dmitri R. Yafaev
Download or read book Scattering Theory: Some Old and New Problems written by Dmitri R. Yafaev and published by Springer. This book was released on 2007-05-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.
Download or read book Scattering Theory written by and published by . This book was released on 2000 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis K3 Projective Models in Scrolls by : Trygve Johnsen
Download or read book K3 Projective Models in Scrolls written by Trygve Johnsen and published by Springer Science & Business Media. This book was released on 2004 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Results in Quantum Mechanics by : Georgina M Dopico Black
Download or read book Mathematical Results in Quantum Mechanics written by Georgina M Dopico Black and published by American Mathematical Soc.. This book was released on 2002 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Consistency Problems for Heath-Jarrow-Morton Interest Rate Models by : Damir Filipovic
Download or read book Consistency Problems for Heath-Jarrow-Morton Interest Rate Models written by Damir Filipovic and published by Springer. This book was released on 2004-11-02 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.
Book Synopsis Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday by : Fritz Gesztesy
Download or read book Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 2007 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.
Book Synopsis Weighted Littlewood-Paley Theory and Exponential-Square Integrability by : Michael Wilson
Download or read book Weighted Littlewood-Paley Theory and Exponential-Square Integrability written by Michael Wilson and published by Springer Science & Business Media. This book was released on 2008 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.
Book Synopsis Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians by : Francis Nier
Download or read book Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians written by Francis Nier and published by Springer. This book was released on 2005-01-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry. Compared to more standard problems in the spectral theory of partial differential operators, those operators are not self-adjoint and only hypoelliptic. The aim of the analysis is to give, as generally as possible, an accurate qualitative and quantitative description of the exponential return to the thermodynamical equilibrium. While exploring and improving recent results in this direction, this volume proposes a review of known techniques on: the hypoellipticity of polynomial of vector fields and its global counterpart, the global Weyl-Hörmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schrödinger-type operators, the Witten complexes, and the Morse inequalities.
Book Synopsis Statistical learning theory and stochastic optimization by : Olivier Catoni
Download or read book Statistical learning theory and stochastic optimization written by Olivier Catoni and published by Springer Science & Business Media. This book was released on 2004 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Nonautonomous Differential Equations by : Luis Barreira
Download or read book Stability of Nonautonomous Differential Equations written by Luis Barreira and published by Springer. This book was released on 2007-09-26 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Book Synopsis Tutorials in Mathematical Biosciences IV by : Avner Friedman
Download or read book Tutorials in Mathematical Biosciences IV written by Avner Friedman and published by Springer. This book was released on 2008-04-26 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.
Book Synopsis Parameter Estimation in Stochastic Differential Equations by : Jaya P. N. Bishwal
Download or read book Parameter Estimation in Stochastic Differential Equations written by Jaya P. N. Bishwal and published by Springer. This book was released on 2007-09-26 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of modeling complex phenomena. The subject has attracted researchers from several areas of mathematics. This volume presents the estimation of the unknown parameters in the corresponding continuous models based on continuous and discrete observations and examines extensively maximum likelihood, minimum contrast and Bayesian methods.
Book Synopsis Value-Distribution of L-Functions by : Jörn Steuding
Download or read book Value-Distribution of L-Functions written by Jörn Steuding and published by Springer. This book was released on 2007-05-26 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors’ approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.
Book Synopsis Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds by : Alexander Isaev
Download or read book Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds written by Alexander Isaev and published by Springer. This book was released on 2007-03-11 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.
Book Synopsis Concentration Inequalities and Model Selection by : Pascal Massart
Download or read book Concentration Inequalities and Model Selection written by Pascal Massart and published by Springer. This book was released on 2007-04-26 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. They also turn to be essential tools to develop a non asymptotic theory in statistics. This volume provides an overview of a non asymptotic theory for model selection. It also discusses some selected applications to variable selection, change points detection and statistical learning.
Book Synopsis Forward-Backward Stochastic Differential Equations and their Applications by : Jin Ma
Download or read book Forward-Backward Stochastic Differential Equations and their Applications written by Jin Ma and published by Springer. This book was released on 2007-04-24 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.
Book Synopsis Construction of Global Lyapunov Functions Using Radial Basis Functions by : Peter Giesl
Download or read book Construction of Global Lyapunov Functions Using Radial Basis Functions written by Peter Giesl and published by Springer. This book was released on 2007-04-11 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.
