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Advances In Ultrametric Analysis
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Book Synopsis Advances in Ultrametric Analysis by : Alain Escassut
Download or read book Advances in Ultrametric Analysis written by Alain Escassut and published by American Mathematical Soc.. This book was released on 2018-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of -adic series, rational maps on the projective line over , non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -modules with a convex base, non-compact Trace class operators and Schatten-class operators in -adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita fields, ultrametric spectra of commutative non-unital Banach rings, classes of non-Archimedean Köthe spaces, -adic Nevanlinna theory and applications, and sub-coordinate representation of -adic functions. Moreover, a paper on the history of -adic analysis with a comparative summary of non-Archimedean fields is presented. Through a combination of new research articles and a survey paper, 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.
Book Synopsis Advances in Ultrametric Analysis by : Khodr Shamseddine
Download or read book Advances in Ultrametric Analysis written by Khodr Shamseddine and published by American Mathematical Soc.. This book was released on 2013 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on lectures given at the 12th International Conference on p-adic Functional Analysis, which was held at the University of Manitoba on July 2-6, 2012. 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.
Book Synopsis Advances in Non-Archimedean Analysis by : Helge Glöckner
Download or read book Advances in Non-Archimedean Analysis written by Helge Glöckner and published by American Mathematical Soc.. This book was released on 2016-05-20 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in Classification and Data Analysis by : Simone Borra
Download or read book Advances in Classification and Data Analysis written by Simone Borra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at the biannual meeting of the Classification and Data Analysis Group of Societa Italiana di Statistica, which was held in Rome, July 5-6, 1999. From the originally submitted papers, a careful review process led to the selection of 45 papers presented in four parts as follows: CLASSIFICATION AND MULTIDIMENSIONAL SCALING Cluster analysis Discriminant analysis Proximity structures analysis and Multidimensional Scaling Genetic algorithms and neural networks MUL TIV ARIA TE DATA ANALYSIS Factorial methods Textual data analysis Regression Models for Data Analysis Nonparametric methods SPATIAL AND TIME SERIES DATA ANALYSIS Time series analysis Spatial data analysis CASE STUDIES INTERNATIONAL FEDERATION OF CLASSIFICATION SOCIETIES The International Federation of Classification Societies (IFCS) is an agency for the dissemination of technical and scientific information concerning classification and data analysis in the broad sense and in as wide a range of applications as possible; founded in 1985 in Cambridge (UK) from the following Scientific Societies and Groups: British Classification Society -BCS; Classification Society of North America - CSNA; Gesellschaft fUr Klassifikation - GfKI; Japanese Classification Society -JCS; Classification Group of Italian Statistical Society - CGSIS; Societe Francophone de Classification -SFC. Now the IFCS includes also the following Societies: Dutch-Belgian Classification Society - VOC; Polish Classification Society -SKAD; Associayao Portuguesa de Classificayao e Analise de Dados -CLAD; Korean Classification Society -KCS; Group-at-Large.
Book Synopsis Advances in Non-Archimedean Analysis and Applications by : W. A. Zúñiga-Galindo
Download or read book Advances in Non-Archimedean Analysis and Applications written by W. A. Zúñiga-Galindo and published by Springer Nature. This book was released on 2021-12-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications. Featuring new techniques developed by leading experts in the field, it highlights the relevance and depth of this important area of mathematics, in particular its expanding reach into the physical, biological, social, and computational sciences as well as engineering and technology. In the last forty years the connections between non-Archimedean mathematics and disciplines such as physics, biology, economics and engineering, have received considerable attention. Ultrametric spaces appear naturally in models where hierarchy plays a central role – a phenomenon known as ultrametricity. In the 80s, the idea of using ultrametric spaces to describe the states of complex systems, with a natural hierarchical structure, emerged in the works of Fraunfelder, Parisi, Stein and others. A central paradigm in the physics of certain complex systems – for instance, proteins – asserts that the dynamics of such a system can be modeled as a random walk on the energy landscape of the system. To construct mathematical models, the energy landscape is approximated by an ultrametric space (a finite rooted tree), and then the dynamics of the system is modeled as a random walk on the leaves of a finite tree. In the same decade, Volovich proposed using ultrametric spaces in physical models dealing with very short distances. This conjecture has led to a large body of research in quantum field theory and string theory. In economics, the non-Archimedean utility theory uses probability measures with values in ordered non-Archimedean fields. Ultrametric spaces are also vital in classification and clustering techniques. Currently, researchers are actively investigating the following areas: p-adic dynamical systems, p-adic techniques in cryptography, p-adic reaction-diffusion equations and biological models, p-adic models in geophysics, stochastic processes in ultrametric spaces, applications of ultrametric spaces in data processing, and more. This contributed volume gathers the latest theoretical developments as well as state-of-the art applications of non-Archimedean analysis. It covers non-Archimedean and non-commutative geometry, renormalization, p-adic quantum field theory and p-adic quantum mechanics, as well as p-adic string theory and p-adic dynamics. Further topics include ultrametric bioinformation, cryptography and bioinformatics in p-adic settings, non-Archimedean spacetime, gravity and cosmology, p-adic methods in spin glasses, and non-Archimedean analysis of mental spaces. By doing so, it highlights new avenues of research in the mathematical sciences, biosciences and computational sciences.
Book Synopsis An Introduction to Ultrametric Summability Theory by : P.N. Natarajan
Download or read book An Introduction to Ultrametric Summability Theory written by P.N. Natarajan and published by Springer. This book was released on 2015-09-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second, completely revised and expanded edition of the author’s first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. The book will appeal to both young researchers and more experienced mathematicians who are looking to explore new areas in analysis. The book is also useful as a text for those who wish to specialize in ultrametric summability theory.
Book Synopsis Advances in $p$-adic and Non-Archimedean Analysis by : M. Berz
Download or read book Advances in $p$-adic and Non-Archimedean Analysis written by M. Berz and published by American Mathematical Soc.. This book was released on 2010-02-17 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Tenth International Conference on $p$-adic and Non-Archimedean Analysis, held at Michigan State University in East Lansing, Michigan, on June 30-July 3, 2008. This volume contains a kaleidoscope of papers based on several of the more important talks presented at the meeting. It provides a cutting-edge connection to some of the most important recent developments in the field. Through a combination of survey papers, research articles, and extensive references to earlier work, this volume allows the reader to quickly gain an overview of current activity in the field and become acquainted with many of the recent sub-branches of its development.
Book Synopsis New Developments in the Analysis of Nonlocal Operators by : Donatella Danielli
Download or read book New Developments in the Analysis of Nonlocal Operators written by Donatella Danielli and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28–30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Over the last decade there has been a resurgence of interest in problems involving nonlocal operators, motivated by applications in many areas such as analysis, geometry, and stochastic processes. Problems represented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives, the behavior of the one-phase Bernoulli-type free boundary near a fixed boundary and its relation to a Signorini-type problem, connections between fractional powers of the spherical Laplacian and zeta functions from the analytic number theory and differential geometry, and obstacle problems for a class of not stable-like nonlocal operators for asset price models widely used in mathematical finance. The volume also features a comprehensive introduction to various aspects of the fractional Laplacian, with many historical remarks and an extensive list of references, suitable for beginners and more seasoned researchers alike.
Book Synopsis Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics by : Pramod M. Achar
Download or read book Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics written by Pramod M. Achar and published by American Mathematical Society. This book was released on 2014-08-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.
Book Synopsis Advances in Ultrametric Analysis by : Alain Escassut
Download or read book Advances in Ultrametric Analysis written by Alain Escassut and published by . This book was released on 2018 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: On non-Archimedean valued fields / Angel Barría Comicheo and Khodr Shamseddine -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14158 Non-compact Trace class operators and Schatten-class operators in $p$-adic Hilbert spaces / S. Basu -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14159 Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem / Gidon Bookatz and Khodr Shamseddine -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14160 $p$-adic meromorphic functions $f'P'(f), g'P'(g)$ sharing a small function, ignoring multiplicity / Kamal Boussaf and Alain Escassut -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14161 Spectra of commutative non-unital Banach rings / Chi-Wai Leung and Chi-Keung Ng -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14162 Ultrametric Calkin algebras / Bertin Diarra -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14163 On summation of $p$-adic series / Branko Dragovich -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14164 Spectrum of ultrametric Banach algebras of strictly differentiable functions / Alain Escassut and Nicolas Maïnetti -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14165 Classical $p$-adic Nevanlinna theory and Nevalinna Theory out of a hole / Alain Escassut and Ta Thi Hoai An -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14166 The distance preserving mappings and isometrics defined on non-Archimedean Banach spaces / Albert Kubzdela -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14167 Rational map $ax+1/x$ on the projective line over $\mathbb {Q}_{p}$ / Shilei Fan and Lingmin Liao -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14168 Non-Archimedean Hahn-Banach theorems and injective Banach spaces / M. González and C. Perez-Garcia -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14169 $G$-modules with a convex base / H. Ochsenius and E. Olivos -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14170 A journey throughout the history of $p$-adic numbers / Yvette Perrin -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14171 On some classes of non-Archimedean Köthe spaces / Wiesław Śliwa and Agnieszka Ziemkowska -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14172 On the sub-coordinate representation of $p$-adic functions / Ekaterina Yurova Axelsson -- http://www.ams.org/conm/704/ https://doi.org/10.1090/conm/704/14173
Book Synopsis Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by : Vyjayanthi Chari
Download or read book Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory written by Vyjayanthi Chari and published by American Mathematical Soc.. This book was released on 2013-11-25 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, Riverside, CA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalizations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.
Book Synopsis Harmonic Analysis and Partial Differential Equations by : Patricio Cifuentes
Download or read book Harmonic Analysis and Partial Differential Equations written by Patricio Cifuentes and published by American Mathematical Soc.. This book was released on 2013-12-06 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, held June 11-15, 2012, in El Escorial, Madrid, Spain. Included in this volume is the written version of the mini-course given by Jonathan Bennett on Aspects of Multilinear Harmonic Analysis Related to Transversality. Also included, among other papers, is a paper by Emmanouil Milakis, Jill Pipher, and Tatiana Toro, which reflects and extends the ideas presented in the mini-course on Analysis on Non-smooth Domains delivered at the conference by Tatiana Toro. The topics of the contributed lectures cover a wide range of the field of Harmonic Analysis and Partial Differential Equations and illustrate the fruitful interplay between the two subfields.
Book Synopsis The SAGE Sourcebook of Advanced Data Analysis Methods for Communication Research by : Andrew F. Hayes
Download or read book The SAGE Sourcebook of Advanced Data Analysis Methods for Communication Research written by Andrew F. Hayes and published by SAGE. This book was released on 2008 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: A must-have volume for every communication researcher's library, The SAGE Sourcebook of Advanced Data Analysis Methods for Communication Research provides an introductory treatment of various advanced statistical methods applied to research in the field of communication. Written by authors who use these methods in their own research, each chapter gives a non-technical overview of what the method is and how it can be used to answer communication-related questions or aide the researcher dealing with difficult data problems. Students and faculty interested in diving into a new statistical topic—such as latent growth modeling, multilevel modeling, propensity scoring, or time series analysis—will find each chapter an excellent springboard for acquiring the background needed to jump into more advanced, technical readings.
Book Synopsis Expository Lectures on Representation Theory by : Kiyoshi Igusa
Download or read book Expository Lectures on Representation Theory written by Kiyoshi Igusa and published by American Mathematical Soc.. This book was released on 2014-01-16 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2012, in Falmouth, MA. The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.
Book Synopsis Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II by : David Carfi
Download or read book Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II written by David Carfi and published by American Mathematical Soc.. This book was released on 2013-10-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.
Book Synopsis Mathematical Analysis in Fluid Mechanics: Selected Recent Results by : Raphaël Danchin
Download or read book Mathematical Analysis in Fluid Mechanics: Selected Recent Results written by Raphaël Danchin and published by American Mathematical Soc.. This book was released on 2018-06-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV)—Complex Fluids and the Issue of Regularity, held from May 8–12, 2017, in Luminy, Marseille, France. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids, MHD flows and mixtures of fluids. Topics of different kinds of solutions, boundary conditions, and interfaces are also discussed.
Book Synopsis Ultrametric Calculus by : W. H. Schikhof
Download or read book Ultrametric Calculus written by W. H. Schikhof and published by Cambridge University Press. This book was released on 2007-01-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance. The reader's understanding is enhanced and deepened by the large number of exercises included throughout; these both test the reader's grasp and extend the text in interesting directions. As a consequence, this book will become a standard reference for professionals (especially in p-adic analysis, number theory and algebraic geometry) and will be welcomed as a textbook for advanced students of mathematics familiar with algebra and analysis.
