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The Geometry Of Algebraic Fermi Curves


The Geometry Of Algebraic Fermi Curves
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The Geometry Of Algebraic Fermi Curves


The Geometry Of Algebraic Fermi Curves
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Author : D Gieseker
language : en
Publisher: Academic Press
Release Date : 2012-12-02

The Geometry Of Algebraic Fermi Curves written by D Gieseker and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.


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


Algebraic Geometry Sundance 1988
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Author : Brian Harbourne
language : en
Publisher: American Mathematical Soc.
Release Date : 1991

Algebraic Geometry Sundance 1988 written by Brian Harbourne 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 1991 with Mathematics categories.


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.



Algebraic And Analytic Methods In Representation Theory


Algebraic And Analytic Methods In Representation Theory
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Author :
language : en
Publisher: Elsevier
Release Date : 1996-09-27

Algebraic And Analytic Methods In Representation Theory written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-27 with Mathematics categories.


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



Barsotti Symposium In Algebraic Geometry


Barsotti Symposium In Algebraic Geometry
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Author : Valentino Cristante
language : en
Publisher: Academic Press
Release Date : 2014-07-21

Barsotti Symposium In Algebraic Geometry written by Valentino Cristante and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Mathematics categories.


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.



Algebraic Cycles And Motives Volume 2


Algebraic Cycles And Motives Volume 2
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Author : Jan Nagel
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-03

Algebraic Cycles And Motives Volume 2 written by Jan Nagel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-03 with Mathematics categories.


A self-contained account of the subject of algebraic cycles and motives as it stands.



Introduction To Analysis On Graphs


Introduction To Analysis On Graphs
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Author : Alexander Grigor’yan
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-08-23

Introduction To Analysis On Graphs written by Alexander Grigor’yan 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 2018-08-23 with Mathematics categories.


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.



New Technical Books


New Technical Books
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Author : New York Public Library
language : en
Publisher:
Release Date : 1993

New Technical Books written by New York Public Library and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Engineering categories.




Causal Symmetric Spaces


Causal Symmetric Spaces
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Author : Gestur Olafsson
language : en
Publisher: Academic Press
Release Date : 1996-09-11

Causal Symmetric Spaces written by Gestur Olafsson and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-11 with Mathematics categories.


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



Perturbation Theory For The Schr Dinger Operator With A Periodic Potential


Perturbation Theory For The Schr Dinger Operator With A Periodic Potential
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Author : Yulia E. Karpeshina
language : en
Publisher: Springer
Release Date : 2006-11-14

Perturbation Theory For The Schr Dinger Operator With A Periodic Potential written by Yulia E. Karpeshina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


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.



Probability And Mathematical Physics


Probability And Mathematical Physics
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Author : Donald Andrew Dawson
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Probability And Mathematical Physics written by Donald Andrew Dawson 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 2007 with Mathematics categories.


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.