The Geometry Of Algebraic Fermi Curves

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The Geometry of Algebraic Fermi Curves

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Author : D Gieseker
Publisher : Academic Press
ISBN 13 : 0323159281
Total Pages : 246 pages
Book Rating : 4.3/5 (231 download)

Book Synopsis The Geometry of Algebraic Fermi Curves by : D Gieseker

Download or read book The Geometry of Algebraic Fermi Curves written by D Gieseker and published by Academic Press. This book was released on 2012-12-02 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Geometry of Algebraic Fermi Curves deals with the geometry of algebraic Fermi curves, with emphasis on the inverse spectral problem. Topics covered include the periodic Schrödinger operator and electrons in a crystal; one-dimensional algebraic Bloch varieties; separable Bloch varieties; and monodromy for separable and generic Bloch varieties. Compactification, the potential zero, and density of states are also discussed. This book consists of 13 chapters and begins by recalling the static lattice approximation for electronic motion at low temperature in a pure, finite sample of a d-dimensional crystal. The position of the Fermi energy and the geometry of the Fermi hypersurface in relation to the metallic properties of the crystal are described. The following chapters focus on the Bloch variety associated with a discrete two-dimensional periodic Schrödinger operator; algebraic Bloch varieties in one dimension; compactification of the Bloch variety; and the potential zero. The geometry of the Bloch variety of a separable potential is also considered, along with the topology of the family of Fermi curves. The final chapter demonstrates how the Bloch variety is determined by the density of states. This monograph will be a useful resource for students and teachers of mathematics.

Algebraic Geometry: Sundance 1988

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Author : Brian Harbourne
Publisher : American Mathematical Soc.
ISBN 13 : 0821851241
Total Pages : 160 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Algebraic Geometry: Sundance 1988 by : Brian Harbourne

Download or read book Algebraic Geometry: Sundance 1988 written by Brian Harbourne and published by American Mathematical Soc.. This book was released on 1991 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the NSF-CBMS Regional Conference on Algebraic Geometry, held in Sundance, Utah in July 1988. The conference focused on algebraic curves and related varieties. Some of the papers collected here represent lectures delivered at the conference, some report on research done during the conference, while others describe related work carried out elsewhere.

Introduction to Analysis on Graphs

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Author : Alexander Grigor’yan
Publisher : American Mathematical Soc.
ISBN 13 : 147044397X
Total Pages : 160 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Introduction to Analysis on Graphs by : Alexander Grigor’yan

Download or read book Introduction to Analysis on Graphs written by Alexander Grigor’yan and published by American Mathematical Soc.. This book was released on 2018-08-23 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk (Markov chain) on finite graphs. For infinite graphs, a study of the heat kernel allows to solve the type problem—a problem of deciding whether the random walk is recurrent or transient. This book starts with elementary properties of the eigenvalues on finite graphs, continues with their estimates and applications, and concludes with heat kernel estimates on infinite graphs and their application to the type problem. The book is suitable for beginners in the subject and accessible to undergraduate and graduate students with a background in linear algebra I and analysis I. It is based on a lecture course taught by the author and includes a wide variety of exercises. The book will help the reader to reach a level of understanding sufficient to start pursuing research in this exciting area.

Barsotti Symposium in Algebraic Geometry

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Author : Valentino Cristante
Publisher : Academic Press
ISBN 13 : 1483217620
Total Pages : 306 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Barsotti Symposium in Algebraic Geometry by : Valentino Cristante

Download or read book Barsotti Symposium in Algebraic Geometry written by Valentino Cristante and published by Academic Press. This book was released on 2014-07-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Barsotti Symposium in Algebraic Geometry contains papers corresponding to the lectures given at the 1991 memorial meeting held in Abano Terme in honor of Iacopo Barsotti. This text reflects Barsotti's significant contributions in the field. This book is composed of 10 chapters and begins with a review of the centers of three-dimensional skylanin algebras. The succeeding chapters deal with the theoretical aspects of the Abelian varieties, Witt realization of p-Adic Barsotti-Tate Groups, and hypergeometric series and functions. These topics are followed by discussions of logarithmic spaces and the estimates for and inequalities among A-numbers. The closing chapter describes the moduli of Abelian varieties in positive characteristic. This book will be of value to mathematicians.

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

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Author : Yulia E. Karpeshina
Publisher : Springer
ISBN 13 : 3540691561
Total Pages : 358 pages
Book Rating : 4.5/5 (46 download)

Book Synopsis Perturbation Theory for the Schrödinger Operator with a Periodic Potential by : Yulia E. Karpeshina

Download or read book Perturbation Theory for the Schrödinger Operator with a Periodic Potential written by Yulia E. Karpeshina and published by Springer. This book was released on 2006-11-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values.

Algebraic and Analytic Methods in Representation Theory

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Author :
Publisher : Elsevier
ISBN 13 : 0080526950
Total Pages : 357 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Algebraic and Analytic Methods in Representation Theory by :

Download or read book Algebraic and Analytic Methods in Representation Theory written by and published by Elsevier. This book was released on 1996-09-27 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Probability and Mathematical Physics

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Author : Donald Andrew Dawson
Publisher : American Mathematical Soc.
ISBN 13 : 0821840894
Total Pages : 490 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Probability and Mathematical Physics by : Donald Andrew Dawson

Download or read book Probability and Mathematical Physics written by Donald Andrew Dawson and published by American Mathematical Soc.. This book was released on 2007 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of survey and research papers that gives a glance of the profound consequences of Molchanov's contributions in stochastic differential equations, spectral theory for deterministic and random operators, localization and intermittency, mathematical physics and optics, and other topics.

Algebraic Cycles and Motives: Volume 2

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Author : Jan Nagel
Publisher : Cambridge University Press
ISBN 13 : 0521701759
Total Pages : 360 pages
Book Rating : 4.5/5 (217 download)

Book Synopsis Algebraic Cycles and Motives: Volume 2 by : Jan Nagel

Download or read book Algebraic Cycles and Motives: Volume 2 written by Jan Nagel and published by Cambridge University Press. This book was released on 2007-05-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of the subject of algebraic cycles and motives as it stands.

Causal Symmetric Spaces

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Author : Gestur Olafsson
Publisher : Academic Press
ISBN 13 : 0080528724
Total Pages : 303 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Causal Symmetric Spaces by : Gestur Olafsson

Download or read book Causal Symmetric Spaces written by Gestur Olafsson and published by Academic Press. This book was released on 1996-09-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spacesDeals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fieldsPresents basic geometric properties of semi-simple symmetric spacesIncludes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces

Floquet Theory for Partial Differential Equations

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Author : P.A. Kuchment
Publisher : Birkhäuser
ISBN 13 : 3034885733
Total Pages : 363 pages
Book Rating : 4.0/5 (348 download)

Book Synopsis Floquet Theory for Partial Differential Equations by : P.A. Kuchment

Download or read book Floquet Theory for Partial Differential Equations written by P.A. Kuchment and published by Birkhäuser. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear differential equations with periodic coefficients constitute a well developed part of the theory of ordinary differential equations [17, 94, 156, 177, 178, 272, 389]. They arise in many physical and technical applications [177, 178, 272]. A new wave of interest in this subject has been stimulated during the last two decades by the development of the inverse scattering method for integration of nonlinear differential equations. This has led to significant progress in this traditional area [27, 71, 72, 111 119, 250, 276, 277, 284, 286, 287, 312, 313, 337, 349, 354, 392, 393, 403, 404]. At the same time, many theoretical and applied problems lead to periodic partial differential equations. We can mention, for instance, quantum mechanics [14, 18, 40, 54, 60, 91, 92, 107, 123, 157-160, 192, 193, 204, 315, 367, 412, 414, 415, 417], hydrodynamics [179, 180], elasticity theory [395], the theory of guided waves [87-89, 208, 300], homogenization theory [29, 41, 348], direct and inverse scattering [175, 206, 216, 314, 388, 406-408], parametric resonance theory [122, 178], and spectral theory and spectral geometry [103 105, 381, 382, 389]. There is a sjgnificant distinction between the cases of ordinary and partial differential periodic equations. The main tool of the theory of periodic ordinary differential equations is the so-called Floquet theory [17, 94, 120, 156, 177, 267, 272, 389]. Its central result is the following theorem (sometimes called Floquet-Lyapunov theorem) [120, 267].

On Three Levels

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Author : Mark Fannes
Publisher : Springer Science & Business Media
ISBN 13 : 1461524601
Total Pages : 467 pages
Book Rating : 4.4/5 (615 download)

Book Synopsis On Three Levels by : Mark Fannes

Download or read book On Three Levels written by Mark Fannes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.

Mathematical Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorics and Physics

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Author : Kurusch Ebrahimi-Fard
Publisher : American Mathematical Soc.
ISBN 13 : 0821853295
Total Pages : 480 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Combinatorics and Physics by : Kurusch Ebrahimi-Fard

Download or read book Combinatorics and Physics written by Kurusch Ebrahimi-Fard and published by American Mathematical Soc.. This book was released on 2011 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the mini-workshop Renormalization, held in December 2006, and the conference Combinatorics and Physics, held in March 2007. Both meetings took place at the Max-Planck-Institut fur Mathematik in Bonn, Germany. Research papers in the volume provide an overview of applications of combinatorics to various problems, such as applications to Hopf algebras, techniques to renormalization problems in quantum field theory, as well as combinatorial problems appearing in the context of the numerical integration of dynamical systems, in noncommutative geometry and in quantum gravity. In addition, it contains several introductory notes on renormalization Hopf algebras, Wilsonian renormalization and motives.

Bulletin of the American Mathematical Society

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Author :
Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.4/5 (91 download)

Book Synopsis Bulletin of the American Mathematical Society by :

Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1994 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin (new Series) of the American Mathematical Society

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Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.3/5 (97 download)

Book Synopsis Bulletin (new Series) of the American Mathematical Society by :

Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 2005 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Technical Books

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Author : New York Public Library
Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis New Technical Books by : New York Public Library

Download or read book New Technical Books written by New York Public Library and published by . This book was released on 1993 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cumulative Book Index

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Author :
Publisher :
ISBN 13 :
Total Pages : 2318 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis The Cumulative Book Index by :

Download or read book The Cumulative Book Index written by and published by . This book was released on 1994 with total page 2318 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.