Geometry Spectral Theory Groups And Dynamics
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Author | : Robert Brooks |
Publisher | : American Mathematical Soc. |
Total Pages | : 300 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821885642 |
Download Geometry, Spectral Theory, Groups, and Dynamics Book in PDF, Epub and Kindle
This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952-2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and number theory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szegos theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate students and researchers interested in various aspects of geometry and global analysis.
Author | : Robert Brooks |
Publisher | : American Mathematical Soc. |
Total Pages | : 298 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821837109 |
Download Geometry, Spectral Theory, Groups, and Dynamics Book in PDF, Epub and Kindle
This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952 - 2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and numbertheory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szego's theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate studentsand researchers interested in various aspects of geometry and global analysis.
Author | : Dmitry Jakobson |
Publisher | : American Mathematical Soc. |
Total Pages | : 207 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9780821847787 |
Download Spectrum and Dynamics Book in PDF, Epub and Kindle
This volume contains a collection of papers presented at the workshop on Spectrum and Dynamics held at the CRM in April 2008. In recent years. many new exciting connections have been established between the spectral theory of elliptic operators and the theory of dynamical systems. A number of articles in the proceedings highlight these discoveries. The volume features a diversity of topics. Such as quantum chaos, spectral geometry. Semiclassical analysis, number theory and ergodic theory. Apart from the research papers aimed at the experts, this book includes several survey articles accessible to a broad math ematical audience.
Author | : Dmitry Jakobson |
Publisher | : American Mathematical Soc. |
Total Pages | : 226 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 0821870467 |
Download Spectrum and Dynamics Book in PDF, Epub and Kindle
This volume contains a collection of papers presented at the workshop on Spectrum and Dynamics held at the CRM in April 2008. In recent years. many new exciting connections have been established between the spectral theory of elliptic operators and the theory of dynamical systems. A number of articles in the proceedings highlight these discoveries. The volume features a diversity of topics. Such as quantum chaos, spectral geometry. Semiclassical analysis, number theory and ergodic theory. Apart from the research papers aimed at the experts, this book includes several survey articles accessible to a broad math ematical audience.
Author | : Rongwei Yang |
Publisher | : Springer Nature |
Total Pages | : 277 |
Release | : |
Genre | : |
ISBN | : 3031516052 |
Download A Spectral Theory Of Noncommuting Operators Book in PDF, Epub and Kindle
Author | : Mikhail Aleksandrovich Shubin |
Publisher | : American Mathematical Soc. |
Total Pages | : 223 |
Release | : 2011-02-10 |
Genre | : Mathematics |
ISBN | : 0821849484 |
Download Spectral Theory and Geometric Analysis Book in PDF, Epub and Kindle
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.
Author | : Alexandre Girouard |
Publisher | : |
Total Pages | : 298 |
Release | : 2017 |
Genre | : Geometry, Differential |
ISBN | : 9781470442583 |
Download Geometric and Computational Spectral Theory Book in PDF, Epub and Kindle
The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15-26, 2015, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the interplay between the two.
Author | : David Borthwick |
Publisher | : Springer Science & Business Media |
Total Pages | : 355 |
Release | : 2007-09-13 |
Genre | : Mathematics |
ISBN | : 0817646531 |
Download Spectral Theory of Infinite-Area Hyperbolic Surfaces Book in PDF, Epub and Kindle
This book is a self-contained monograph on spectral theory for non-compact Riemann surfaces, focused on the infinite-volume case. By focusing on the scattering theory of hyperbolic surfaces, this work provides a compelling introductory example which will be accessible to a broad audience. The book opens with an introduction to the geometry of hyperbolic surfaces. Then a thorough development of the spectral theory of a geometrically finite hyperbolic surface of infinite volume is given. The final sections include recent developments for which no thorough account exists.
Author | : Dmitri Fursaev |
Publisher | : Springer Science & Business Media |
Total Pages | : 294 |
Release | : 2011-06-25 |
Genre | : Science |
ISBN | : 9400702051 |
Download Operators, Geometry and Quanta Book in PDF, Epub and Kindle
This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). This book addresses advanced graduate students and researchers in mathematical physics with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.
Author | : Mikhail Gersh Katz |
Publisher | : American Mathematical Soc. |
Total Pages | : 238 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821841777 |
Download Systolic Geometry and Topology Book in PDF, Epub and Kindle
The systole of a compact metric space $X$ is a metric invariant of $X$, defined as the least length of a noncontractible loop in $X$. When $X$ is a graph, the invariant is usually referred to as the girth, ever since the 1947 article by W. Tutte. The first nontrivial results for systoles of surfaces are the two classical inequalities of C. Loewner and P. Pu, relying on integral-geometric identities, in the case of the two-dimensional torus and real projective plane, respectively. Currently, systolic geometry is a rapidly developing field, which studies systolic invariants in their relation to other geometric invariants of a manifold. This book presents the systolic geometry of manifolds and polyhedra, starting with the two classical inequalities, and then proceeding to recent results, including a proof of M. Gromov's filling area conjecture in a hyperelliptic setting. It then presents Gromov's inequalities and their generalisations, as well as asymptotic phenomena for systoles of surfaces of large genus, revealing a link both to ergodic theory and to properties of congruence subgroups of arithmetic groups. The author includes results on the systolic manifestations of Massey products, as well as of the classical Lusternik-Schnirelmann category.