Download or read book Spectral Flow written by Nora Doll and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-19 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Methods for Incompressible Viscous Flow written by Roger Peyret and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.
Download or read book Spectral Flow written by Nora Doll and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-19 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.
Download or read book Spectral Theory of Differential Operators written by T. Suslina and published by American Mathematical Soc.. This book was released on 2008-01-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume is dedicated to the eightieth birthday of Professor M. Sh. Birman. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrodinger operators, and in homogenization theory. All articles are written by members of M. Sh. Birman's research group who are affiliated with different universities all over the world. A specific feature of the majority of the papers is a combination of traditional methods with new modern ideas."--BOOK JACKET.
Download or read book The Localization Problem in Index Theory of Elliptic Operators written by Vladimir Nazaikinskii and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of new important problems in index theory. So far, the localization principle has been only scarcely covered in journal papers and not covered at all in monographs. The suggested book is intended to fill the gap. So far, it is the first and only monograph dealing with the topic. Both the general localization principle and its applications to specific problems, existing and new, are covered. The book will be of interest to working mathematicians as well as graduate and postgraduate university students specializing in differential equations and related topics.
Download or read book Index Theory Beyond the Fredholm Case written by Alan Carey and published by Springer Nature. This book was released on 2022-11-30 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in these notes is the introduction of `spectral flow beyond the Fredholm case'. Creating a coherent picture of numerous investigations and scattered notions of the past 50 years, this work carefully introduces spectral flow, the Witten index and the spectral shift function and describes their relationship. After the introduction, Chapter 2 carefully reviews Double Operator Integrals, Chapter 3 describes the class of so-called p-relative trace class perturbations, followed by the construction of Krein's spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit computations on two examples: the Dirac operator in Rd, and a differential operator on an interval. Throughout, attention is paid to the history of the subject and earlier references are provided accordingly. The book is aimed at experts in index theory as well as newcomers to the field.
Download or read book Superstrings 89 Proceedings Of The Trieste Spring School written by Seifallah Randjbar-daemi and published by World Scientific. This book was released on 1990-04-01 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Lectures on RCFT (G. Moore & N. Seiberg)Some Statistical Mechanical Models and Conformal Field Theories (P Ginsparg)Lectures on N = 2 Superconformal Theories and Singularity Theory (N P Wamer)Lectures on N = 2 String Theory (D. Gepner)Compactification of Superstrings (MDine)Rolling among Calabi-Yau Vacua (P Candelas, P S Green & T Hubsch)Conformal Field Theory and Geometric Quantization (H. Verlinde & E. Verlinde)Universal Moduli Space and String Theory (A S Schwarz)Reparametrization BRS Cohomology in Two-Dimensional Gravity and Non-Critical String Theories (K Fujikawa)Sigma Models and Renormalization of String Loops (A A Tsey tlin)Baby Universes (A Strominger) Readership:
Download or read book Symplectic Geometry written by Helmut Hofer and published by Springer Nature. This book was released on 2022-12-05 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Download or read book Five Decades As A Mathematician And Educator On The 80th Birthday Of Professor Yung chow Wong written by Kwong-yu Chan and published by World Scientific. This book was released on 1995-07-01 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:My Early Life, 1913–1948 (Y-C Wong)On the Eigenvalues and Numerical Range of a Quaternionic Matrix (Y-H Au-Yeung)Monopoles as Fibre Bundles and Strings as Infinite Rank Tensors (H-M Chan & S T Tsou)Approximation by Affine Functions (J-T Chan)A Review on Optimal Design for Mixture Models (L-Y Chan)Griffiths' Formalism on the Calculus of Variations via Exterior Differential Systems (W-S Cheung)Change of Measures, Likelihood Ratio Martingales and Some Applications (T L Lai)Beyond the Impossibility of a 16-Square Identity (K Y Lam & P Yiu)Lie Group Homomorphisms which Induce Isomorphisms of Representation Rings (S P Lam)A Lifting Theorem, and Rings with Isomorphic Matrix Rings (T Y Lam)On Ternary Equations in Square-Free and Prime Variables (Y-L Lau, M-C Leung & M-C Liu)Instantons and Three-Manifolds (R Lee)Some Results on the c-Numerical Range (C-K Li & Y-T Poon)A Matrix Formulation of the Complex Flag Manifolds (Q-K Lu)The Integral Formulas of the Pontrjagin Characteristic Forms on an Oriented Differentiable Manifold (X-M Mei)On the Construction of Tensor Fields and Connections on the Frame Bundle (K P Mok)Cellular Manufacturing Systems: Formulation and Algorithmic Issues (S M Ng)Which Inscribed N-Gon in an Ellipse has the Longest Perimeter? (M K Siu & K M Tsang)Hyperbolicity Problems in Function Theory (Y-T Siu)Extreme Positive Operators on Convex Cones (B-S Tam)The Golden Mean and Its Way into Physics (B Y Tong) Readership: Students and scientists in mathematics. keywords:
Download or read book Analysis Geometry and Topology of Elliptic Operators written by Bernhelm Booss and published by World Scientific. This book was released on 2006 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics.The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievements and perspectives in elliptic theory. The contributions are based on lectures presented at a workshop acknowledging Krzysztof P Wojciechowski's work in the theory of elliptic operators.
Download or read book The Universe in a Helium Droplet written by G. E. Volovik and published by Oxford University Press on Demand. This book was released on 2003-03-06 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a general overview of analogies between phenomena in condensed matter physics and quantum field theory and elementary particle physics.
Download or read book T Cell Development written by Remy Bosselut and published by Springer Nature. This book was released on 2022-11-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition volume provides new and updated chapters detailing simple and accessible experiment protocols to explore thymus biology. Chapters are divided into three parts presenting short reviews, analysis strategies, protocols for cell preparation, flow cytometry analyses, Innate Lymphoid Cells (ILC), mouse T-cell development, antigen receptor-less cousins of T cells, bone marrow chimeras, thymic stroma, and multiple aspects of thymocyte biology. Written in the successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible protocols, and notes on troubleshooting and avoiding known pitfalls. Authoritative and cutting-edge, T-Cell Development: Methods and Protocols, Second Edition aims to be a useful practical guide to help readers overcome obstacles associated with experimental approaches of T-cell development.
Download or read book Noncommutative Geometry And Physics 3 Proceedings Of The Noncommutative Geometry And Physics 2008 On K theory And D branes Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry written by Giuseppe Dito and published by World Scientific. This book was released on 2013-01-11 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative differential geometry is a novel approach to geometry, aimed in part at applications in physics. It was founded in the early eighties by the 1982 Fields Medalist Alain Connes on the basis of his fundamental works in operator algebras. It is now a very active branch of mathematics with actual and potential applications to a variety of domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field. It is an important topic both for mathematics and physics.
Download or read book Analytic Deformations of the Spectrum of a Family of Dirac Operators on an Odd Dimensional Manifold with Boundary written by Paul Kirk and published by American Mathematical Soc.. This book was released on 1996 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analytic perturbation theory for eigenvalues of Dirac operators on odd dimensional manifolds with boundary is described in terms of [italic]extended L2 eigenvectors [end italics] on manifolds with cylindrical ends. These are generalizations of the Atiyah-Patodi-Singer extended [italic capital]L2 kernel of a Dirac operator. We prove that they form a discrete set near zero and deform analytically, in contrast to [italic capital]L2 eigenvectors, which can be absorbed into the continuous spectrum under deformations when the tangential operator is not invertible. We show that the analytic deformation theory for extended [italic capital]L2 eigenvectors and Atiyah-Patodi-Singer eigenvectors coincides.
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1996-12 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perspectives on Noncommutative Geometry written by Masoud Khalkhali and published by American Mathematical Soc.. This book was released on 2011 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the proceedings of the Noncommutative Geometry Workshop that was held as part of the thematic program on operator algebras at the Fields Institute in May 2008. Pioneered by Alain Connes starting in the late 1970s, noncommutative geometry was originally inspired by global analysis, topology, operator algebras, and quantum physics. Its main applications were to settle some long-standing conjectures, such as the Novikov conjecture and the Baum-Connes conjecture. Next came the impact of spectral geometry and the way the spectrum of a geometric operator, like the Laplacian, holds information about the geometry and topology of a manifold, as in the celebrated Weyl law. This has now been vastly generalized through Connes' notion of spectral triples. Finally, recent years have witnessed the impact of number theory, algebraic geometry and the theory of motives, and quantum field theory on noncommutative geometry. Almost all of these aspects are touched upon with new results in the papers of this volume. This book is intended for graduate students and researchers in both mathematics and theoretical physics who are interested in noncommutative geometry and its applications.
Download or read book Michael Atiyah Collected Works written by Michael Atiyah and published by Oxford University Press. This book was released on 1988-04-28 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses gauge theory, a current topic of research.
