Spectral Theory and Geometric Analysis

Spectral Theory and Geometric Analysis PDF Author: Mikhail Aleksandrovich Shubin
Publisher: American Mathematical Soc.
ISBN: 0821849484
Category : Mathematics
Languages : en
Pages : 223

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Book Description
The papers in this volume cover important topics in spectral theory and geometric analysis such as resolutions of smooth group actions, spectral asymptotics, solutions of the Ginzburg-Landau equation, scattering theory, Riemann surfaces of infinite genus and tropical mathematics.

XVIth International Congress on Mathematical Physics

XVIth International Congress on Mathematical Physics PDF Author: Pavel Exner
Publisher: World Scientific
ISBN: 9814304638
Category : Mathematics
Languages : en
Pages : 709

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Book Description
The International Congress on Mathematical Physics is the flagship conference in this exciting field. Convening every three years, it gives a survey on the progress achieved in all branches of mathematical physics. It also provides a superb platform to discuss challenges and new ideas. The present volume collects material from the XVIth ICMP which was held in Prague, August 2009, and features most of the plenary lectures and invited lectures in topical sessions as well as information on other parts of the congress program. This volume provides a broad coverage of the field of mathematical physics, from dominantly mathematical subjects to particle physics, condensed matter, and application of mathematical physics methods in various areas such as astrophysics and ecology, amongst others.

Operators and Representation Theory

Operators and Representation Theory PDF Author: Palle E.T. Jorgensen
Publisher: Courier Dover Publications
ISBN: 0486822575
Category : Science
Languages : en
Pages : 307

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Book Description
Three-part treatment covers background material on definitions, terminology, operators in Hilbert space domains of representations, operators in the enveloping algebra, spectral theory; and covariant representation and connections. 2017 edition.

Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities PDF Author: Rupert L. Frank
Publisher: Cambridge University Press
ISBN: 1009218441
Category : Mathematics
Languages : en
Pages : 524

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Book Description
The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.

Arithmetic, Geometry, Cryptography and Coding Theory 2009

Arithmetic, Geometry, Cryptography and Coding Theory 2009 PDF Author: David R. Kohel
Publisher: American Mathematical Soc.
ISBN: 0821849557
Category : Computers
Languages : en
Pages : 178

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Book Description
This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-a-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009. The articles contained in this volume come from three related symposia organized by the group Arithmetique et Theorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.

Ultrafilters across Mathematics

Ultrafilters across Mathematics PDF Author: Vitaly Bergelson
Publisher: American Mathematical Soc.
ISBN: 082184833X
Category : Mathematics
Languages : en
Pages : 214

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Book Description
Presents the state-of-the-art of applications in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts. It contains two general surveys on ultrafilters in set theory and on the ultraproduct construction, as well as papers that cover additive and combinatorial number theory, nonstandard methods and stochastic differential equations, measure theory, dynamics, Ramsey theory, algebra in the space of ultrafilters, and large cardinals.

Gems in Experimental Mathematics

Gems in Experimental Mathematics PDF Author: Tewodros Amdeberhan
Publisher: American Mathematical Soc.
ISBN: 0821848690
Category : Mathematics
Languages : en
Pages : 426

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Book Description
These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.

Nine Mathematical Challenges: An Elucidation

Nine Mathematical Challenges: An Elucidation PDF Author: A. Kechris
Publisher: American Mathematical Soc.
ISBN: 1470454904
Category : Education
Languages : en
Pages : 221

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Book Description
This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22–24, 2019, at California Institute of Technology, Pasadena, California. The content isolates and discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis. The other five problems, also of substantial importance, concern the Lieb–Thirring inequalities, the equidistribution problems in number theory, surface bundles, ramification in covers and curves, and the gap and type problems in Fourier analysis. The problems are explained succinctly, with a discussion of what is known and an elucidation of the outstanding issues. An attempt is made to appeal to a wide audience, both in terms of the field of expertise and the level of the reader.

Alpine Perspectives on Algebraic Topology

Alpine Perspectives on Algebraic Topology PDF Author: Christian Ausoni
Publisher: American Mathematical Soc.
ISBN: 0821848399
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.

Combinatorics and Physics

Combinatorics and Physics PDF Author: Kurusch Ebrahimi-Fard
Publisher: American Mathematical Soc.
ISBN: 0821853295
Category : Mathematics
Languages : en
Pages : 480

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Book Description
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.

From Complex Analysis to Operator Theory: A Panorama

From Complex Analysis to Operator Theory: A Panorama PDF Author: Malcolm Brown
Publisher: Springer Nature
ISBN: 3031311396
Category : Mathematics
Languages : en
Pages : 731

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Book Description
This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.