Imaging Multi Scale And High Contrast Partial Differential Equations

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Imaging, Multi-scale and High Contrast Partial Differential Equations

Author : Habib Ammari, Yves Capdeboscq,Hyeonbae Kang, Imbo Sim
Publisher : American Mathematical Soc.
Page : 148 pages
File Size : 43,7 Mb
Release : 2016-03-23
Category : Differential equations, Partial
ISBN : 9781470419233

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Imaging, Multi-scale and High Contrast Partial Differential Equations by Habib Ammari, Yves Capdeboscq,Hyeonbae Kang, Imbo Sim Pdf

This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held from August 7-9, 2014, in Daejeon, Korea. The mathematical analysis of partial differential equations modelling materials, or tissues, presenting multiple scales has been a very active area of research. The study of the corresponding imaging or reconstruction problem is a more recent area. If the material parameters of the partial differential equation present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyze and compute. On the other hand, imaging in highly heterogeneous media poses significant challenges to the mathematical community. The focus of this volume is on recent progress towards complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. Of particular importance in imaging are shape representation techniques and regularization approaches. Special attention is devoted to new models and problems coming from physics leading to innovative imaging and signal processing methods.

Multi-Scale and High-Contrast PDE

Author : Habib Ammari,Yves Capdeboscq,Hyeonbae Kang
Publisher : American Mathematical Soc.
Page : 154 pages
File Size : 43,7 Mb
Release : 2012
Category : Computers
ISBN : 9780821869291

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Multi-Scale and High-Contrast PDE by Habib Ammari,Yves Capdeboscq,Hyeonbae Kang Pdf

Contains the proceedings of the conference Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion, held June, 2011. The volume focuses on recent progress towards a complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. It also includes contributions on the inverse problem, both on its analysis and on numerical reconstructions.

Geometric Science of Information

Author : Frank Nielsen,Frédéric Barbaresco
Publisher : Springer
Page : 863 pages
File Size : 52,9 Mb
Release : 2013-08-19
Category : Computers
ISBN : 9783642400209

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Geometric Science of Information by Frank Nielsen,Frédéric Barbaresco Pdf

This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensional/Banach Information Manifolds, Information Geometry Manifolds, and Algorithms on Manifolds.

Recent Advances in the Geometry of Submanifolds

Author : Bogdan D. Suceavă,Alfonso Carriazo,Yun Myung Oh,Joeri Van der Veken
Publisher : American Mathematical Soc.
Page : 209 pages
File Size : 55,9 Mb
Release : 2016-09-14
Category : Differential geometry -- Local differential geometry -- Local submanifolds
ISBN : 9781470422981

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Recent Advances in the Geometry of Submanifolds by Bogdan D. Suceavă,Alfonso Carriazo,Yun Myung Oh,Joeri Van der Veken Pdf

This volume contains the proceedings of the AMS Special Session on Geometry of Submanifolds, held from October 25–26, 2014, at San Francisco State University, San Francisco, CA, and the AMS Special Session on Recent Advances in the Geometry of Submanifolds: Dedicated to the Memory of Franki Dillen (1963–2013), held from March 14–15, 2015, at Michigan State University, East Lansing, Ml. The focus of the volume is on recent studies of submanifolds of Riemannian, semi-Riemannian, Kaehlerian and contact manifolds. Some of these use techniques in classical differential geometry, while others use methods from ordinary differential equations, geometric analysis, or geometric PDEs. By brainstorming on the fundamental problems and exploring a large variety of questions studied in submanifold geometry, the editors hope to provide mathematicians with a working tool, not just a collection of individual contributions. This volume is dedicated to the memory of Franki Dillen, whose work in submanifold theory attracted the attention of and inspired many geometers.

Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby

Author : Joseph Auslander,Aimee Johnson,Cesar E. Silva
Publisher : American Mathematical Soc.
Page : 316 pages
File Size : 47,7 Mb
Release : 2016-11-29
Category : Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Non-Archimedean Fatou and Julia sets
ISBN : 9781470422998

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Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby by Joseph Auslander,Aimee Johnson,Cesar E. Silva Pdf

This volume contains the proceedings of three conferences in Ergodic Theory and Symbolic Dynamics: the Oxtoby Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; the Williams Ergodic Theory Conference, held from July 27–29, 2012, at Williams College; and the AMS Special Session on Ergodic Theory and Symbolic Dynamics, held from January 17–18, 2014, in Baltimore, MD. This volume contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing a source of information about the many ways Oxtoby's work influenced mathematical thought in this and other fields.

Real and Complex Singularities

Author : Ana Claudia Nabarro,Juan J. Nuño-Ballesteros,Raúl Oset Sinha,Maria Aparecida Soares Ruas
Publisher : American Mathematical Soc.
Page : 355 pages
File Size : 44,8 Mb
Release : 2016-10-25
Category : Differential geometry -- Classical differential geometry -- Classical differential geometry
ISBN : 9781470422059

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Real and Complex Singularities by Ana Claudia Nabarro,Juan J. Nuño-Ballesteros,Raúl Oset Sinha,Maria Aparecida Soares Ruas Pdf

This volume is a collection of papers presented at the XIII International Workshop on Real and Complex Singularities, held from July 27–August 8, 2014, in São Carlos, Brazil, in honor of María del Carmen Romero Fuster's 60th birthday. The volume contains the notes from two mini-courses taught during the workshop: on intersection homology by J.-P. Brasselet, and on non-isolated hypersurface singularities and Lê cycles by D. Massey. The remaining contributions are research articles which cover topics from the foundations of singularity theory (including classification theory and invariants) to topology of singular spaces (links of singularities and semi-algebraic sets), as well as applications to topology (cobordism and Lefschetz fibrations), dynamical systems (Morse-Bott functions) and differential geometry (affine geometry, Gauss-maps, caustics, frontals and non-Euclidean geometries). This book is published in cooperation with Real Sociedad Matemática Española (RSME)

Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola

Author : Catherine Bénéteau:,Alberto A. Condori,Constanze Liaw,William T. Ross,Alan A. Sola
Publisher : American Mathematical Soc.
Page : 217 pages
File Size : 40,6 Mb
Release : 2016-12-22
Category : Analytic functions
ISBN : 9781470423056

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Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola by Catherine Bénéteau:,Alberto A. Condori,Constanze Liaw,William T. Ross,Alan A. Sola Pdf

This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29–July 3, 2015, at the Institut Mittag-Leffler, Djursholm, Sweden. The conference brought together experienced researchers and promising young mathematicians from many countries to discuss recent progress made in function theory, model spaces, completeness problems, and Carleson measures. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.

Advances in Non-Archimedean Analysis

Author : Helge Glöckner,Alain Escassut,Khodr Shamseddine
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 43,5 Mb
Release : 2016-05-20
Category : Functional analysis
ISBN : 9781470419882

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Advances in Non-Archimedean Analysis by Helge Glöckner,Alain Escassut,Khodr Shamseddine Pdf

This volume contains the Proceedings of the 13th International Conference on p-adic Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany. The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.

Manifolds and $K$-Theory

Author : Gregory Arone,Brenda Johnson,Pascal Lambrechts,Brian A. Munson,Ismar Volić
Publisher : American Mathematical Soc.
Page : 259 pages
File Size : 44,5 Mb
Release : 2017-01-24
Category : $K$-theory -- Higher algebraic $K$-theory -- Algebraic $K$-theory of spaces
ISBN : 9781470417000

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Manifolds and $K$-Theory by Gregory Arone,Brenda Johnson,Pascal Lambrechts,Brian A. Munson,Ismar Volić Pdf

This volume contains the proceedings of the conference on Manifolds, -Theory, and Related Topics, held from June 23–27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, -theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds. This volume is a tribute to the influence of Tom Goodwillie in these fields.

Algebra and Computer Science

Author : Delaram Kahrobaei,Bren Cavallo,David Garber
Publisher : American Mathematical Soc.
Page : 229 pages
File Size : 44,9 Mb
Release : 2016-11-28
Category : Algebra
ISBN : 9781470423032

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Algebra and Computer Science by Delaram Kahrobaei,Bren Cavallo,David Garber Pdf

This volume contains the proceedings of three special sessions: Algebra and Computer Science, held during the Joint AMS-EMS-SPM meeting in Porto, Portugal, June 10–13, 2015; Groups, Algorithms, and Cryptography, held during the Joint Mathematics Meeting in San Antonio, TX, January 10–13, 2015; and Applications of Algebra to Cryptography, held during the Joint AMS-Israel Mathematical Union meeting in Tel-Aviv, Israel, June 16–19, 2014. Papers contained in this volume address a wide range of topics, from theoretical aspects of algebra, namely group theory, universal algebra and related areas, to applications in several different areas of computer science. From the computational side, the book aims to reflect the rapidly emerging area of algorithmic problems in algebra, their computational complexity and applications, including information security, constraint satisfaction problems, and decision theory. The book gives special attention to recent advances in quantum computing that highlight the need for a variety of new intractability assumptions and have resulted in a new area called group-based cryptography.

Operator Algebras and Their Applications

Author : Robert S. Doran,Efton Park
Publisher : American Mathematical Soc.
Page : 267 pages
File Size : 51,5 Mb
Release : 2016-07-28
Category : Operator algebras
ISBN : 9781470419486

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Operator Algebras and Their Applications by Robert S. Doran,Efton Park Pdf

his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.

Knot Theory and Its Applications

Author : Krishnendu Gongopadhyay,Rama Mishra
Publisher : American Mathematical Soc.
Page : 357 pages
File Size : 47,6 Mb
Release : 2016-09-21
Category : Knot theory
ISBN : 9781470422578

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Knot Theory and Its Applications by Krishnendu Gongopadhyay,Rama Mishra Pdf

This volume contains the proceedings of the ICTS program Knot Theory and Its Applications (KTH-2013), held from December 10–20, 2013, at IISER Mohali, India. The meeting focused on the broad area of knot theory and its interaction with other disciplines of theoretical science. The program was divided into two parts. The first part was a week-long advanced school which consisted of minicourses. The second part was a discussion meeting that was meant to connect the school to the modern research areas. This volume consists of lecture notes on the topics of the advanced school, as well as surveys and research papers on current topics that connect the lecture notes with cutting-edge research in the broad area of knot theory.

Probability on Algebraic and Geometric Structures

Author : Gregory Budzban,Harry Randolph Hughes,Henri Schurz
Publisher : American Mathematical Soc.
Page : 236 pages
File Size : 44,5 Mb
Release : 2016-06-29
Category : Combinatorial geometry
ISBN : 9781470419455

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Probability on Algebraic and Geometric Structures by Gregory Budzban,Harry Randolph Hughes,Henri Schurz Pdf

This volume contains the proceedings of the International Research Conference “Probability on Algebraic and Geometric Structures”, held from June 5–7, 2014, at Southern Illinois University, Carbondale, IL, celebrating the careers of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea. These proceedings include survey papers and new research on a variety of topics such as probability measures and the behavior of stochastic processes on groups, semigroups, and Clifford algebras; algebraic methods for analyzing Markov chains and products of random matrices; stochastic integrals and stochastic ordinary, partial, and functional differential equations.

Mechanics and Physics of Structured Media

Author : Igor Andrianov,Simon Gluzman,Vladimir Mityushev
Publisher : Academic Press
Page : 528 pages
File Size : 49,6 Mb
Release : 2022-01-20
Category : Technology & Engineering
ISBN : 9780323906531

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Mechanics and Physics of Structured Media by Igor Andrianov,Simon Gluzman,Vladimir Mityushev Pdf

Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more Applies homogenization concepts to various physical systems

Intelligent Computing Theories and Application

Author : De-Shuang Huang,Vitoantonio Bevilacqua,Prashan Premaratne
Publisher : Springer
Page : 802 pages
File Size : 41,7 Mb
Release : 2019-07-30
Category : Computers
ISBN : 9783030267636

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Intelligent Computing Theories and Application by De-Shuang Huang,Vitoantonio Bevilacqua,Prashan Premaratne Pdf

This two-volume set of LNCS 11643 and LNCS 11644 constitutes - in conjunction with the volume LNAI 11645 - the refereed proceedings of the 15th International Conference on Intelligent Computing, ICIC 2019, held in Nanchang, China, in August 2019. The 217 full papers of the three proceedings volumes were carefully reviewed and selected from 609 submissions. The ICIC theme unifies the picture of contemporary intelligent computing techniques as an integral concept that highlights the trends in advanced computational intelligence and bridges theoretical research with applications. The theme for this conference is “Advanced Intelligent Computing Methodologies and Applications.” Papers related to this theme are especially solicited, including theories, methodologies, and applications in science and technology.