Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)

Author: Christopher D. Sogge

Publisher: Princeton University Press

ISBN: 1400850541

Category: Mathematics

Page: 208

View: 8757

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on the geodesic flow. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Sogge begins with a treatment of the Hadamard parametrix before proving the first main result, the sharp Weyl formula. He avoids the use of Tauberian estimates and instead relies on sup-norm estimates for eigenfunctions. The author also gives a rapid introduction to the stationary phase and the basics of the theory of pseudodifferential operators and microlocal analysis. These are used to prove the Duistermaat-Guillemin theorem. Turning to the related topic of quantum ergodicity, Sogge demonstrates that if the long-term geodesic flow is uniformly distributed, most eigenfunctions exhibit a similar behavior, in the sense that their mass becomes equidistributed as their frequencies go to infinity.

Geometric Analysis

Author: Hubert L. Bray,Greg Galloway,Rafe Mazzeo,Natasa Sesum

Publisher: American Mathematical Soc.

ISBN: 1470423138

Category: Geometric analysis

Page: 456

View: 7694

This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and experienced researchers alike, to a range of the most important areas of geometric analysis. These include: the general issue of geometric evolution, with more detailed lectures on Ricci flow and Kähler-Ricci flow, new progress on the analytic aspects of the Willmore equation as well as an introduction to the recent proof of the Willmore conjecture and new directions in min-max theory for geometric variational problems, the current state of the art regarding minimal surfaces in R3, the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace–Beltrami operators.

Spectral Theory and Partial Differential Equations

Conference in Honor of James Ralston's 70th Birthday on Spectral Theory and Partial Differential Equations: June 17--21, 2013, University of California, Los Angeles, California

Author: James V Ralston

Publisher: American Mathematical Soc.

ISBN: 1470409895

Category: Differential equations, Partial

Page: 197

View: 2852

This volume contains the proceedings of the Conference on Spectral Theory and Partial Differential Equations, held from June 17-21, 2013, at the University of California, Los Angeles, California, in honor of James Ralston's 70th Birthday. Papers in this volume cover important topics in spectral theory and partial differential equations such as inverse problems, both analytical and algebraic; minimal partitions and Pleijel's Theorem; spectral theory for a model in Quantum Field Theory; and beams on Zoll manifolds.

Current Trends in High Performance Computing and Its Applications

Proceedings of the International Conference on High Performance Computing and Applications, August 8-10, 2004, Shanghai, P.R. China

Author: Wu Zhang,Zhangxin Chen,Roland Glowinski,Weiqin Tong

Publisher: Springer Science & Business Media

ISBN: 9783540279129

Category: Computers

Page: 640

View: 2219

A large international conference on High Performance Computing and its - plications was held in Shanghai, China, August 8–10, 2004. It served as a forum to present current work by researchers and software developers from around the world as well as to highlight activities in the high performance computing area. It aimed to bring together research scientists, application - oneers,andsoftwaredeveloperstodiscussproblemsandsolutionsandtoid- tify new issues in this area. The conference focused on the design and analysis of high performance computing algorithms, tools, and platforms and their s- enti?c, engineering, medical, and industrial applications. It drew about 150 participants from Canada, China, Germany, India, Iran, Japan, Mexico, S- gapore, South Korea, the United Kingdom, and the United States of America. More than 170 papers were received on a variety of subjects in modern high performance computing and its applications, such as numerical and software algorithm design and analysis, grid computing advance, adaptive and par- lel algorithm development, distributing debugging tools, computational grid and network environment design, computer simulation and visualization, and computational language study and their applications to science, engineering, and medicine. This book contains ninety papers that are representative in these subjects. It serves as an excellent research reference for graduate s- dents, scientists, and engineers who work with high performance computing for problems arising in science, engineering, and medicine. This conference would not have been possible without the support of a number of organizations and agencies and the assistance of many people.

Chinese Spoken Language Processing

5th International Symposium, ISCSLP 2006, Singapore, December 13-16, 2006, Proceedings

Author: Qiang Huo,Bin Ma,Eng-Siong Chng,Haizhou Li

Publisher: Springer Science & Business Media

ISBN: 3540496653

Category: Computers

Page: 808

View: 7264

This book constitutes the thoroughly refereed proceedings of the 5th International Symposium on Chinese Spoken Language Processing, ISCSLP 2006, held in Singapore in December 2006, co-located with ICCPOL 2006, the 21st International Conference on Computer Processing of Oriental Languages. Coverage includes speech science, acoustic modeling for automatic speech recognition, speech data mining, and machine translation of speech.

Language Processing and Intelligent Information Systems

20th International Conference, IIS 2013, Warsaw, Poland, June 17-18, 2013, Proceedings

Author: Mieczyslaw A. Klopotek,Jacek Koronacki,Malgorzata Marciniak,Agnieszka Mykowiecka,Slawomir Wierzchon

Publisher: Springer

ISBN: 3642386342

Category: Computers

Page: 269

View: 3773

This book constitutes the refereed proceedings of the International Conference on Intelligent Information Systems, IIS 2013, held in Warsaw, Poland in June 2013. The 28 full papers included in this volume were carefully reviewed and selected from 53 submissions. The contributions are organized in topical sections named: Natural language processing, text and Web mining, and machine learning and search.

Unsolved Problems in Mathematical Systems and Control Theory

Author: Vincent D. Blondel,Alexandre Megretski

Publisher: Princeton University Press

ISBN: 1400826152

Category: Mathematics

Page: 352

View: 3215

This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.

Semi-classical Analysis

Author: Victor Guillemin,Shlomo Sternberg

Publisher: N.A

ISBN: 9781571462763

Category: Fourier integral operators

Page: 446

View: 2140


Advanced Graphic Communications, Packaging Technology and Materials

Author: Yun Ouyang,Min Xu,Li Yang,Yujie Ouyang

Publisher: Springer

ISBN: 9811000727

Category: Technology & Engineering

Page: 1059

View: 9250

This book includes a selection of reviewed papers presented at the 2015, 4th China Academic Conference on Printing and Packaging, which was held on October 22-24, 2015 in Hangzhou, China. The conference was jointly organized by the China Academy of Printing Technology, Beijing Institute of Graphic Communication, and Hangzhou Dianzi University. With 3 keynote talks and 200 presented papers on graphic communications, packaging technologies and materials, the conference attracted more than 400 scientists. These proceedings cover the recent research outcomes on color science and technology, image-processing technology, digital-media technology, printing-engineering technology, packaging-engineering technology etc. They will be of interest to university researchers, R&D engineers and graduate students in graphic communications, packaging, color science, image science, materials science, computer science, digital media and network technology fields.

Combinatorial Optimization and Applications

Third International Conference, COCOA 2009, Huangshan, China, June 10-12, 2009, Proceedings

Author: Ding-Zhu Du,Xiaodong Hu,Panos M. Pardalos

Publisher: Springer Science & Business Media

ISBN: 3642020259

Category: Computers

Page: 542

View: 2385

This book constitutes the refereed proceedings of the Third International Conference on Combinatorial Optimization and Applications, COCOA 2009, held in Huangshan, China, in June 2009. The 50 revised full papers were carefully reviewed and selected from 103 submissions. The papers feature original research in the areas of combinatorial optimization - both theoretical issues and and applications motivated by real-world problems thus showing convincingly the usefulness and efficiency of the algorithms discussed in a practical setting.

Computer, Intelligent Computing and Education Technology

Author: Hsiang-Chuan Liu,Wen-Pei Sung,Wenli Yao

Publisher: CRC Press

ISBN: 1315775565

Category: Computers

Page: 1510

View: 391

This proceedings set contains selected Computer, Information and Education Technology related papers from the 2014 International Conference on Computer, Intelligent Computing and Education Technology (CICET 2014), held March 27-28, 2014 in Hong Kong. The proceedings aims to provide a platform for researchers, engineers and academics as well as industry professionals from all over the world to present their research results and development activities in Computer Science, Information Technology and Education Technology.

Cyber Security for Industrial Control Systems

From the Viewpoint of Close-Loop

Author: Peng Cheng,Heng Zhang,Jiming Chen

Publisher: CRC Press

ISBN: 149873474X

Category: Computers

Page: 315

View: 3291

Cyber Security for Industrial Control Systems: From the Viewpoint of Close-Loop provides a comprehensive technical guide on up-to-date new secure defending theories and technologies, novel design, and systematic understanding of secure architecture with practical applications. The book consists of 10 chapters, which are divided into three parts. The first three chapters extensively introduce secure state estimation technologies, providing a systematic presentation on the latest progress in security issues regarding state estimation. The next five chapters focus on the design of secure feedback control technologies in industrial control systems, displaying an extraordinary difference from that of traditional secure defending approaches from the viewpoint of network and communication. The last two chapters elaborate on the systematic secure control architecture and algorithms for various concrete application scenarios. The authors provide detailed descriptions on attack model and strategy analysis, intrusion detection, secure state estimation and control, game theory in closed-loop systems, and various cyber security applications. The book is useful to anyone interested in secure theories and technologies for industrial control systems.

Statistical Modelling of Molecular Descriptors in QSAR/QSPR

Author: Matthias Dehmer,Kurt Varmuza,Danail Bonchev

Publisher: John Wiley & Sons

ISBN: 3527645012

Category: Medical

Page: 456

View: 4425

This handbook and ready reference presents a combination of statistical, information-theoretic, and data analysis methods to meet the challenge of designing empirical models involving molecular descriptors within bioinformatics. The topics range from investigating information processing in chemical and biological networks to studying statistical and information-theoretic techniques for analyzing chemical structures to employing data analysis and machine learning techniques for QSAR/QSPR. The high-profile international author and editor team ensures excellent coverage of the topic, making this a must-have for everyone working in chemoinformatics and structure-oriented drug design.

Advanced Data Mining and Applications

8th International Conference, ADMA 2012, Nanjing, China, December 15-18, 2012, Proceedings

Author: Shuigeng Zhou,Songmao Zhang,George Karypis

Publisher: Springer Science & Business Media

ISBN: 3642355277

Category: Computers

Page: 795

View: 3189

This book constitutes the refereed proceedings of the 8th International Conference on Advanced Data Mining and Applications, ADMA 2012, held in Nanjing, China, in December 2012. The 32 regular papers and 32 short papers presented in this volume were carefully reviewed and selected from 168 submissions. They are organized in topical sections named: social media mining; clustering; machine learning: algorithms and applications; classification; prediction, regression and recognition; optimization and approximation; mining time series and streaming data; Web mining and semantic analysis; data mining applications; search and retrieval; information recommendation and hiding; outlier detection; topic modeling; and data cube computing.

Nondeterministic Mechanics

Author: Isaac Elishakoff,Christian Soize

Publisher: Springer Science & Business Media

ISBN: 3709113067

Category: Technology & Engineering

Page: 349

View: 3936

Table of contents: Stochastic methods in nonlinear structural dynamics.- Stochastic models of uncertainties in computational structural dynamics and structural acoustics.- The tale of stochastic linearization techniques: over half a century of progress.- Comprehensive modeling of uncertain systems using fuzzy set theory.- Bounding uncertainty in civil engineering: theoretical background and applications.- Combined methods in nondeterministic mechanics. In this book the current state of the art of nondeterministic mechanics in its various forms is presented. The topics range from stochastic problems to fuzzy sets; from linear to nonlinear problems; from specific methodologies to combinations of various techniques; from theoretical considerations to practical applications. It is specially designed to illuminate the various aspects of the three methodologies (probabilistic or stochastic modelling, fuzzy sets based analysis, antioptimization of structures) to deal with various uncertainties and deepen the discussion of their pros and cons.

Control of Distributed Parameter and Stochastic Systems

Proceedings of the IFIP WG 7.2 International Conference, June 19–22, 1998 Hangzhou, China

Author: Shuping Chen,Xunjing Li,Jiongming Yong,Xun Yu Zhou

Publisher: Springer Science & Business Media

ISBN: 9780412837906

Category: Science

Page: 330

View: 5902

In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the temperature for a heat-conductor, spatial dependence of the time-varying displacement of a membrane subject to external forces, etc. Randomness is intrinsic to the mathematical formulation of many phenomena, such as fluctuation in the stock market, or noise in communication networks. Control theory of distributed parameter systems and stochastic systems focuses on physical phenomena which are governed by partial differential equations, delay-differential equations, integral differential equations, etc., and stochastic differential equations of various types. This has been a fertile field of research with over 40 years of history, which continues to be very active under the thrust of new emerging applications. Among the subjects covered are: Control of distributed parameter systems; Stochastic control; Applications in finance/insurance/manufacturing; Adapted control; Numerical approximation . It is essential reading for applied mathematicians, control theorists, economic/financial analysts and engineers.

Intelligent Robotics and Applications

8th International Conference, ICIRA 2015, Portsmouth, UK, August 24-27, 2015, Proceedings

Author: Honghai Liu,Naoyuki Kubota,Xiangyang Zhu,Rüdiger Dillmann,Dalin Zhou

Publisher: Springer

ISBN: 3319228730

Category: Computers

Page: 586

View: 5474

This three volume set LNAI 9244, 9245, and 9246 constitutes the refereed proceedings of the 8th International Conference on Intelligent Robotics and Applications, ICIRA 2015, held in Portsmouth, UK, in August 2015. The 46 papers included in the third volume are organized in topical sections on mobile robots and intelligent autonomous systems; intelligent system and cybernetics; robot mechanism and design; robotic vision; recognition and reconstruction; and active control in tunneling boring machine.