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Free Discontinuity Problems (Publications of the Scuola Normale Superiore #19)
This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.
Free Resolutions in Commutative Algebra and Algebraic Geometry
The selected contributions in this volume originated at the Sundance conference, which was devoted to discussions of current work in the area of free resolutions. The papers include new research, not otherwise published, and expositions that develop current problems likely to influence future developments in the field.
Functional and High-Dimensional Statistics and Related Fields (Contributions to Statistics)
This book presents the latest research on the statistical analysis of functional, high-dimensional and other complex data, addressing methodological and computational aspects, as well as real-world applications. It covers topics like classification, confidence bands, density estimation, depth, diagnostic tests, dimension reduction, estimation on manifolds, high- and infinite-dimensional statistics, inference on functional data, networks, operatorial statistics, prediction, regression, robustness, sequential learning, small-ball probability, smoothing, spatial data, testing, and topological object data analysis, and includes applications in automobile engineering, criminology, drawing recognition, economics, environmetrics, medicine, mobile phone data, spectrometrics and urban environments. The book gathers selected, refereed contributions presented at the Fifth International Workshop on Functional and Operatorial Statistics (IWFOS) in Brno, Czech Republic. The workshop was originally to be held on June 24-26, 2020, but had to be postponed as a consequence of the COVID-19 pandemic. Initiated by the Working Group on Functional and Operatorial Statistics at the University of Toulouse in 2008, the IWFOS workshops provide a forum to discuss the latest trends and advances in functional statistics and related fields, and foster the exchange of ideas and international collaboration in the field.
Geometric Analysis: In Honor of Gang Tian's 60th Birthday (Progress in Mathematics #333)
This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are then supplemented by original works that give the more advanced readers a glimpse of the current research in geometric analysis and related PDEs.The book is of significant interest for researchers, including advanced Ph.D. students, working in geometric analysis. Readers who have a secondary interest in geometric analysis will benefit from the survey articles.The results included in this book will stimulate further advances in the subjects: geometric analysis, including complex differential geometry, symplectic geometry, PDEs with a geometric origin, and geometry related to topology.Contributions by Claudio Arezzo, Alberto Della Vedova, Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis, Sun-Yung A. Chang, Zheng-Chao Han, Paul Yang, Tobias Holck Colding, William P. Minicozzi II, Panagiotis Dimakis, Richard Melrose, Akito Futaki, Hajime Ono, Jiyuan Han, Jeff A. Viaclovsky, Bruce Kleiner, John Lott, Sławomir Kołodziej, Ngoc Cuong Nguyen, Chi Li, Yuchen Liu, Chenyang Xu, YanYan Li, Luc Nguyen, Bo Wang, Shiguang Ma, Jie Qing, Xiaonan Ma, Sean Timothy Paul, Kyriakos Sergiou, Tristan Rivière, Yanir A. Rubinstein, Natasa Sesum, Jian Song, Jeffrey Streets, Neil S. Trudinger, Yu Yuan, Weiping Zhang, Xiaohua Zhu and Aleksey Zinger.
Geometric Methods in Physics XXXVII: Workshop and Summer School, Białowieża, Poland, 2018 (Trends in Mathematics)
The book consists of articles based on the XXXVII Białowieża Workshop on Geometric Methods in Physics, 2018. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. This edition of the workshop featured a special session dedicated to Professor Daniel Sternheimer on the occasion of his 80th birthday. The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past seven years, the Białowieża Workshops have been complemented by a School on Geometry and Physics comprising a series of advanced lectures for graduate students and early-career researchers. The book also includes abstracts of the five lecture series that were given at the seventh school.
Geometry and Physics: A Festschrift in honour of Nigel Hitchin
Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.
Geometry and Physics: A Festschrift in honour of Nigel Hitchin
Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.
George E. Andrews 80 Years of Combinatory Analysis (Trends in Mathematics)
This book presents a printed testimony for the fact that George Andrews, one of the world’s leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference “Combinatory Analysis 2018” was organized at the Pennsylvania State University from June 21 to 24, 2018. This volume comprises the original articles from the Special Issue “Combinatory Analysis 2018 – In Honor of George Andrews’ 80th Birthday” resulting from the conference and published in Annals of Combinatorics. In addition to the 37 articles of the Andrews 80 Special Issue, the book includes two new papers. These research contributions explore new grounds and present new achievements, research trends, and problems in the area. The volume is complemented by three special personal contributions: “The Worlds of George Andrews, a daughter’s take” by Amy Alznauer, “My association and collaboration with George Andrews” by Krishna Alladi, and “Ramanujan, his Lost Notebook, its importance” by Bruce Berndt. Another aspect which gives this Andrews volume a truly unique character is the “Photos” collection. In addition to pictures taken at “Combinatory Analysis 2018”, the editors selected a variety of photos, many of them not available elsewhere: “Andrews in Austria”, “Andrews in China”, “Andrews in Florida”, “Andrews in Illinois”, and “Andrews in India”. This volume will be of interest to researchers, PhD students, and interested practitioners working in the area of Combinatory Analysis, q-Series, and related fields.
George Gabriel Stokes: Life, Science and Faith
George Gabriel Stokes was one of the most important mathematical physicists of the 19th century. During his lifetime he made a wide range of contributions, notably in continuum mechanics, optics and mathematical analysis. His name is known to generations of scientists and engineers through the various physical laws and mathematical formulae named after him, such as the Navier-Stokes equations in fluid dynamics. Born in Ireland into a family of academics, clergymen and physicians, he became the longest serving Lucasian Professor of Mathematics at Cambridge. Impressive as his own scientific achievements were, he made an equally important contribution as a sounding board for his contemporaries, providing good judgement and mathematical rigour in his wide correspondence and during his 31 years as Secretary of the Royal Society where he played a major role in the direction of British science. Outside his own area he was a distinguished public servant and MP for Cambridge University. He was keenly interested in the relation between science and religion and wrote at length on their interaction. Stokes was a remarkable scientist who lived in an equally remarkable age of discovery and innovation. This edited collection of essays brings together experts in mathematics, physics and the history of science to cover the many facets of Stokes's life in a scholarly but accessible way to mark the bicentenary of his birth.
German Success Stories in Industrial Mathematics (Mathematics in Industry #35)
This book should illustrate the impact of collaborations between mathematics and industry. It is both an initiative of and coordinated by the German Committee for Mathematical Modeling, Simulation and Optimization (KoMSO). This publication aims at comparing the state of the art at the intersection of mathematics and industry, as well as the demands for future development of science and technology in Germany and beyond.Each contribution addresses the importance of mathematics in innovation by means of introducing a successful cooperation with an industrial partner in order to display the wide range of industrial sectors where the use of mathematics is the crucial factor for success, but also show the variety of mathematical areas involved in these activities. The success stories introduced in this volume will be supplemented by appropriate illustrations.It is the goal of this publication to highlight cooperation between mathematics and industry as a two-way technology and knowledge transfer, providing industry with solutions and mathematics with new research topics and inspiring new methodologies.
Gerontologie gestern, heute und morgen: Multigenerationale Perspektiven auf das Alter(n) (Vechtaer Beiträge zur Gerontologie)
Der vorliegende Sammelband beinhaltet Beiträge verschiedener Generationen von Forscherinnen und Forschern aus der Gerontologie, welche die Pluralität von Themen, Zugängen, Theorien und Methoden innerhalb der Alternsforschung repräsentieren.
Gerontologie gestern, heute und morgen: Multigenerationale Perspektiven auf das Alter(n) (Vechtaer Beiträge zur Gerontologie)
Der vorliegende Sammelband beinhaltet Beiträge verschiedener Generationen von Forscherinnen und Forschern aus der Gerontologie, welche die Pluralität von Themen, Zugängen, Theorien und Methoden innerhalb der Alternsforschung repräsentieren.
The Global Politics of Census Taking: Quantifying Populations, Institutional Autonomy, Innovation (Routledge Studies in Governance and Public Policy)
This book examines in detail the state of the art on census taking to spark a more vivid debate on what some may see as a rather technical – and hence uncontroversial – field of inquiry.Against the backdrop of controversy between instrumental and performative theoretical stances towards census taking, it analyses the historical trajectories and political implications of seemingly technical decisions made during the quantification process by focusing on the 2020 round of censuses, which have been particularly revealing as activities have been affected by the ongoing COVID-19 pandemic and the ensuing containment policies. Through case studies of countries from the Global North and the Global South, the book highlights the consequences of, and innovations and challenges in census taking focusing on three particular areas of concern – the politics of the census in terms of identity politics; the institutional autonomy of the census; and significant and transformative methodological innovations.This book will be of key interest to scholars, students and practitioners of quantification studies, and social demography and more broadly to public policy, governance, comparative politics and the broader social sciences.
Gödel's Disjunction: The scope and limits of mathematical knowledge
The logician Kurt Gödel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Gödel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.
Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics: Proceedings of a Conference in Honor of George W. Mackey (Mathematical Sciences Research Institute Publications #6)
The Mathematical Sciences Research Institute sponsored a three day conference, May 21-23, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*-Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G. D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut.
Guide to Mathematical Methods (Mathematical Guides)
Like other books in the Macmillan Mathematical Guides series, this book is written for first year undergraduates on mathematics degree courses, and provides a carefully paced and readable introduction to its topic. Plenty of worked examples and exercises are provided. The book is based on the first year Mathematical Methods course in the Pure Maths department at Sheffield University - a course which has run successfully for many years in a self-paced learning mode.
Handbook of Alternative Data in Finance, Volume I (CRC Press/OptiRisk Series in Finance)
Handbook of Alternative Data in Finance, Volume I motivates and challenges the reader to explore and apply Alternative Data in finance. The book provides a robust and in-depth overview of Alternative Data, including its definition, characteristics, difference from conventional data, categories of Alternative Data, Alternative Data providers, and more. The book also offers a rigorous and detailed exploration of process, application and delivery that should be practically useful to researchers and practitioners alike. Features Includes cutting edge applications in machine learning, fintech, and more Suitable for professional quantitative analysts, and as a resource for postgraduates and researchers in financial mathematics Features chapters from many leading researchers and practitioners
Handbook of Computability and Complexity in Analysis (Theory and Applications of Computability)
Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means?Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology.This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.
Handbook of Experimental Game Theory
The Handbook of Experimental Game Theory offers a comprehensive analysis of the field, discussing foundational topics that are at the core of applied game theory. It highlights the nuances that scientific experiments have delivered to our understanding of strategic interactions among decision makers. Leading experts explore methodological considerations and games of complete and incomplete information to offer new directions for research in experimental game theory. Chapters demonstrate transformative behavioral research focused on classic topics in game theory such as cooperation and coordination games. Taking a scientific approach to the study of game theory, this innovative Handbook provides an insight into laboratory and field experiments that test game theoretic propositions and suggests new ways of modeling strategic behavior. It takes a forward-thinking position, addressing the challenges inherent in innovations surrounding the measurement of strategic behavior using experimental methods. This Handbook will prove to be a valuable resource for scholars and students who are looking to gain a broader understanding of experimental game theory and how to contribute to its advancement. It will also be of particular interest to researchers in experimental and behavioral economics.
Handbook of Formal Analysis and Verification in Cryptography (Prospects in Pure and Applied Mathematics)
This handbook of formal analysis in cryptography is very important for secure communication and processing of information. It introduces readers to several formal verification methods and software used to analyse cryptographic protocols. The chapters give readers general knowledge and formal methods focusing on cryptographic protocols. Handbook of Formal Analysis and Verification in Cryptography includes major formalisms and tools used for formal verification of cryptography, with a spotlight on new-generation cryptosystems such as post-quantum, and presents a connection between formal analysis and cryptographic schemes. The text offers formal methods to show whether security assumptions are valid and compares the most prominent formalism and tools as they outline common challenges and future research directions. Graduate students, researchers, and engineers worldwide will find this an exciting read.
Handbook of Meta-Research
A collective project arising from a dynamic configuration of research concerned with systematic, critical and reflexive inquiry into the normative frames, institutional workings and lived realities of research, this dexterously-crafted Handbook acts as a working guide to the rapidly-evolving interdisciplinary field of meta-research.Bringing together cutting-edge multidisciplinary scholarship, the Handbook expertly outlines key domains including the public value, policy and governance of research, knowledge dynamics, and research cultures and careers. Engaging with diverse philosophical, theoretical and methodological approaches, it examines global dynamics in research and explores equality, diversity and inclusion across sectors, career stages and geographical regions. Taking on board multi-layered perspectives from beyond traditional and exclusionary epistemic boundaries, the Handbook offers unique insight into this broad landscape of knowledge.The Handbook of Meta-Research will appeal to researchers and students in a broad range of fields from the social sciences, arts and humanities and STEM who are concerned with the environments, institutions, policies, practices and evaluations that impact their work, and will be a useful starting point for researchers wanting to initiate meta-research studies to examine their own environments, actions and behaviours. Regulators, users and beneficiaries of research will similarly benefit from this authoritative reference work.
Handbook of Research Methods and Applications in Empirical Microeconomics (Handbooks of Research Methods and Applications series)
Written in a comprehensive yet accessible style, this Handbook introduces readers to a range of modern empirical methods with applications in microeconomics, illustrating how to use two of the most popular software packages, Stata and R, in microeconometric applications. International contributors expertly investigate the development of advanced methods driven by the accumulation of numerous data sets at the level of individuals, households and firms, and by an increase in the capacity and speed of computers. The Handbook highlights that, while the more traditional empirical methods were largely limited to establishing correlations, these new methods aim to uncover causality. Examination of these advances shows new possibilities for applied research in microeconomics in the estimation of sophisticated structural models and the evaluation of policy interventions. This insightful Handbook is a must-read for graduate students and instructors in applied microeconomics as well as researchers in government departments and academia pursuing modern advanced methods of policy evaluation and data analysis.
Handbuch Soziale Arbeit und Alter
Das Handbuch 'Soziale Arbeit und Alter' stellt den Bedarf, die Rahmenbedingungen, Institutionen, Paradigmen und Konzepte der Begleitung der vielgestaltigen Lebensphase Alter aus der Perspektive der Sozialen Arbeit dar. Das Handbuch trägt der Tatsache Rechnung, dass sich die Soziale Arbeit weit über die Soziale Altenhilfe hinaus mit der demografischen Entwicklung, dem Strukturwandel des Alters und sozialpolitischen Veränderungen auseinander setzen muss, die sowohl ältere und alte Menschen als auch ihre Familien und außerfamilialen Netzwerke betreffen.
Harmonic Analysis and Partial Differential Equations: In Honor of Vladimir Maz'ya
Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.