Geometry Spectral Theory Groups And Dynamics

Author : Robert Brooks,Michael Entov,Yehuda Pinchover,Michah Sageev
Publisher : American Mathematical Soc.
Page : 275 pages
File Size : 42,6 Mb
Release : 2005
Category : Mathematics
ISBN : 9780821837108

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Geometry, Spectral Theory, Groups, and Dynamics by Robert Brooks,Michael Entov,Yehuda Pinchover,Michah Sageev Pdf

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 : Rongwei Yang
Publisher : Springer Nature
Page : 277 pages
File Size : 50,9 Mb
Release : 2024-06-23
Category : Electronic
ISBN : 9783031516054

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A Spectral Theory Of Noncommuting Operators by Rongwei Yang Pdf

Author : E. Brian Davies,Yu Safarov,London Mathematical Society,International Centre for Mathematical Sciences
Publisher : Cambridge University Press
Page : 344 pages
File Size : 43,6 Mb
Release : 1999-09-30
Category : Mathematics
ISBN : 9780521777490

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Spectral Theory and Geometry by E. Brian Davies,Yu Safarov,London Mathematical Society,International Centre for Mathematical Sciences Pdf

Authoritative lectures from world experts on spectral theory and geometry.

Author : César R. de Oliveira
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 43,9 Mb
Release : 2008-12-30
Category : Science
ISBN : 9783764387952

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Intermediate Spectral Theory and Quantum Dynamics by César R. de Oliveira Pdf

The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. Many examples and exercises are included that focus on quantum mechanics.

Author : Yaiza Canzani,Linan Chen,Dmitry Jakobson
Publisher : American Mathematical Soc.
Page : 197 pages
File Size : 53,6 Mb
Release : 2019-11-20
Category : Education
ISBN : 9781470441456

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Probabilistic Methods in Geometry, Topology and Spectral Theory by Yaiza Canzani,Linan Chen,Dmitry Jakobson Pdf

This volume contains the proceedings of the CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, held from August 22–26, 2016 and Probabilistic Methods in Topology, held from November 14–18, 2016 at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. Probabilistic methods have played an increasingly important role in many areas of mathematics, from the study of random groups and random simplicial complexes in topology, to the theory of random Schrödinger operators in mathematical physics. The workshop on Probabilistic Methods in Spectral Geometry and PDE brought together some of the leading researchers in quantum chaos, semi-classical theory, ergodic theory and dynamical systems, partial differential equations, probability, random matrix theory, mathematical physics, conformal field theory, and random graph theory. Its emphasis was on the use of ideas and methods from probability in different areas, such as quantum chaos (study of spectra and eigenstates of chaotic systems at high energy); geometry of random metrics and related problems in quantum gravity; solutions of partial differential equations with random initial conditions. The workshop Probabilistic Methods in Topology brought together researchers working on random simplicial complexes and geometry of spaces of triangulations (with connections to manifold learning); topological statistics, and geometric probability; theory of random groups and their properties; random knots; and other problems. This volume covers recent developments in several active research areas at the interface of Probability, Semiclassical Analysis, Mathematical Physics, Theory of Automorphic Forms and Graph Theory.

Author : Alexandre Girouard
Publisher : Unknown
Page : 298 pages
File Size : 44,8 Mb
Release : 2017
Category : Geometry, Differential
ISBN : 1470442582

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Geometric and Computational Spectral Theory by Alexandre Girouard Pdf

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 : A. Verjovsky
Publisher : American Mathematical Soc.
Page : 216 pages
File Size : 52,6 Mb
Release : 2005
Category : Differentiable dynamical systems
ISBN : 9780821838518

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Geometry and Dynamics by A. Verjovsky Pdf

This volume is based on talks given at the Conference in Honor of the 60th Anniversary of Alberto Verjovsky, a prominent mathematician in Latin America who made significant contributions to dynamical systems, geometry, and topology. Articles in the book present recent work in these areas and are suitable for graduate students and research mathematicians.

Author : Zvi Arad,Marcel Herzog,Mariagrazia Bianchi,Wolfgang Herfort
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 52,6 Mb
Release : 2006
Category : Nilpotent groups
ISBN : 9780821837115

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Ischia Group Theory 2004 by Zvi Arad,Marcel Herzog,Mariagrazia Bianchi,Wolfgang Herfort Pdf

Experts in the theory of finite groups and in representation theory provide insight into various aspects of group theory, such as the classification of finite simple groups, character theory, groups with special properties, table algebras, etc. Information for our distributors include: This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Author : R. I. Grigorchuk
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 44,6 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821837566

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Topological and Asymptotic Aspects of Group Theory by R. I. Grigorchuk Pdf

The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory, such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.

Author : Jürgen Fuchs
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 55,9 Mb
Release : 2005
Category : Mathematical physics
ISBN : 9780821837184

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Noncommutative Geometry and Representation Theory in Mathematical Physics by Jürgen Fuchs Pdf

Mathematics provides a language in which to formulate the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in mathematical physics, particularly in quantum field theory. Indeed, several areas of mathematics have lately become increasingly influentialin physics and, in turn, have become influenced by developments in physics. Over the last two decades, interactions between mathematicians and physicists have increased enormously and have resulted in a fruitful cross-fertilization of the two communities. This volume contains the plenary talks fromthe international symposium on Noncommutative Geometry and Representation Theory in Mathematical Physics held at Karlstad University (Sweden) as a satellite conference to the Fourth European Congress of Mathematics. The scope of the volume is large and its content is relevant to various scientific communities interested in noncommutative geometry and representation theory. It offers a comprehensive view of the state of affairs for these two branches of mathematical physics. The book is suitablefor graduate students and researchers interested in mathematical physics.

Author : Sylvie Paycha
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 42,9 Mb
Release : 2007
Category : Algebraic topology
ISBN : 9780821840627

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Geometric and Topological Methods for Quantum Field Theory by Sylvie Paycha Pdf

This volume, based on lectures and short communications at a summer school in Villa de Leyva, Colombia (July 2005), offers an introduction to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. It is aimed at graduate students in physics or mathematics who might want insight in the following topics (covered in five survey lectures): Anomalies and noncommutative geometry, Deformation quantisation and Poisson algebras, Topological quantum field theory and orbifolds. These lectures are followed by nine articles on various topics at the borderline of mathematics and physics ranging from quasicrystals to invariant instantons through black holes, and involving a number of mathematical tools borrowed from geometry, algebra and analysis.

Author : Abba B. Gumel,Carlos Castillo-Chávez,Ronald E. Mickens,Dominic P. Clemence
Publisher : American Mathematical Soc.
Page : 406 pages
File Size : 53,9 Mb
Release : 2006
Category : Diseases
ISBN : 9780821837757

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Mathematical Studies on Human Disease Dynamics by Abba B. Gumel,Carlos Castillo-Chávez,Ronald E. Mickens,Dominic P. Clemence Pdf

This volume contains the proceedings of the AMS-SIAM-IMS Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, held in Snowbird, Utah, July 17-21, 2005. The goal of the conference was to bring together leading and upcoming researchers to discuss the latest advances and challenges associated with the modeling of the dynamics of emerging and re-emerging diseases, and to explore various control strategies. The articles included in this book are devoted to some of the significant recent advances, trends, and challenges associated with the mathematical modeling and analysis of the dynamics and control of some diseases of public health importance. In addition to illustrating many of the diverse prevailing epidemiological challenges, together with the diversity of mathematical approaches needed to address them, this book provides insights on a number of topical modeling issues such as the modeling and control of mosquito-borne diseases, respiratory diseases, animal diseases (such as foot-and-mouth disease), cancer and tumor growth modeling, influenza, HIV, HPV, rotavirus, etc. This book also touches upon other important topics such as the use of modeling i

Author : Andrew Markoe,Eric Todd Quinto
Publisher : American Mathematical Soc.
Page : 155 pages
File Size : 43,6 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821837559

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Integral Geometry and Tomography by Andrew Markoe,Eric Todd Quinto Pdf

This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in 2004. The book contains very recent work of some of the top researchers in the field. The articles in the book deal with the determination of properties of functions on a manifold by integral theoretic methods, or by determining the geometric structure of subsets of a manifold by analytic methods. Of particular concern are ways of reconstructing an unknown function from some of its projections. Radon transforms were developed at the beginning of the twentieth century by researchers who were motivated by problems in differential geometry, mathematical physics, and partial differential equations. Later, medical applications of these transforms produced breakthroughs in imaging technology that resulted in the 1979 Nobel Prize in Physiology and Medicine for the development of computerized tomography. Today the subject boasts substantial cross-disciplinary interactions, both in pure and applied mathematics as well as medicine, engineering, biology, physics, geosciences, and industrial testing. Therefore, this volume should be of interest to a wide spectrum of researchers both in mathematics and in other fields.

Author : AMS-IMS-SIAM Joint Summer Research Conference on String Geometry
Publisher : American Mathematical Soc.
Page : 120 pages
File Size : 44,6 Mb
Release : 2006
Category : Calabi-Yau manifolds
ISBN : 9780821836637

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Snowbird Lectures on String Geometry by AMS-IMS-SIAM Joint Summer Research Conference on String Geometry Pdf

The interaction and cross-fertilization of mathematics and physics is ubiquitous in the history of both disciplines. In particular, the recent developments of string theory have led to some relatively new areas of common interest among mathematicians and physicists, some of which are explored in the papers in this volume. These papers provide a reasonably comprehensive sampling of the potential for fruitful interaction between mathematicians and physicists that exists as a result of string theory.

Author : Igor V. Dolgachev,Korea-Japan Conference on Algebraic Geometry,JongHae Keum
Publisher : American Mathematical Soc.
Page : 256 pages
File Size : 43,8 Mb
Release : 2007
Category : Geometry, Algebraic
ISBN : 9780821842010

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Algebraic Geometry by Igor V. Dolgachev,Korea-Japan Conference on Algebraic Geometry,JongHae Keum Pdf

This volume contains the proceedings of the Korea-Japan Conference on Algebraic Geometry in honor of Igor Dolgachev on his sixtieth birthday. The articles in this volume explore a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered by this volume are algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, Mordell-Weil lattices, and automorphisms of hyperkahler manifolds. This book is an excellent and rich reference source for researchers.