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This lecture notes volume presents significant contributions from the "Algebraic Geometry and Number Theory" Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology.

This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis.

This volume, with chapters written by experts in the field of cancerous tumors, details the key factors associated with liquid biopsies in solid tumors: blood-based diagnostics;

This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics.

Current cancer therapies are focused on three general strategies: modifying intrinsic radiosensitivity via molecular targeting, manipulating microenvironmental factors to enhance tumor susceptibility to radiation, and improving delivery of radiation to critical tumor locations while sparing normal tissues.

A comprehensive and detailed overview of the current state of preclinical research on histamine and histamine receptors.

This text outlines the importance of biopsychosocial factors in improving medical care, and illustrates evidence-based, state-of-the-art interventions for patients with a variety of medical conditions.

The book reviews the main approaches for generation of differentiated cells from various types of stem cells, including embryonic, placental and cord blood stem cells through marrow, adipose tissue and dental pulp.

This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field.

Acute Respiratory Distress Syndrome (ARDS) remains an important cause of morbidity and mortality worldwide, and the incidence is predicted to increase with the aging population Several clinical disorders can initiate ARDS, including pneumonia, sepsis, gastric aspiration and trauma but despite intense research over the past 40 years, we still have an incomplete understanding of the pathophysiology of the disease and treatment remains largely supportive. This book provides an overview of acute lung injury and repair, describes current animal models to study lung injury and reviews current methodologies to study and measure lung injury and repair. Special emphasis is given to state of the art techniques and methods and relevance to human disease. Acute Lung Injury and Repair: Scientific Fundamentals and Methods is a useful resource for physicians and scientists who are interested in experimental model systems for insight into ARDS pathogenesis and treatment strategies. ¿

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28.

This new and expanded monograph improves upon Mohan's earlier book, Residue Number Systems (Springer, 2002) with a state of the art treatment of the subject.

In this volume, different aspects of logics for dependence and independence are discussed, including both the logical and computational aspects of dependence logic, and also applications in a number of areas, such as statistics, social choice theory, databases, and computer security. The contributing authors represent leading experts in this relatively new field, each of whom was invited to write a chapter based on talks given at seminars held at the Schloss Dagstuhl Leibniz Center for Informatics in Wadern, Germany (in February 2013 and June 2015) and an Academy Colloquium at the Royal Netherlands Academy of Arts and Sciences (March 2014). Altogether, these chapters provide the most up-to-date look at this developing and highly interdisciplinary field and will be of interest to a broad group of logicians, mathematicians, statisticians, philosophers, and scientists. Topics covered includea comprehensive survey of many propositional, modal, and first-order variants of dependence logic;new results concerning expressive power of several variants of dependence logic with different sets of logical connectives and generalized dependence atoms;connections between inclusion logic and the least-fixed point logic;an overview of dependencies in databases by addressing the relationships between implication problems for fragments of statistical conditional independencies, embedded multivalued dependencies, and propositional logic;various Markovian models used to characterize dependencies and causality among variables in multivariate systems;applications of dependence logic in social choice theory; andan introduction to the theory of secret sharing, pointing out connections to dependence and independence logic.

This contributed volume contains fourteen papers based on selected presentations from the European Conference on Game Theory SING11-GTM 2015, held at Saint Petersburg State University in July 2015, and the Networking Games and Management workshop, held at the Karelian Research Centre of the Russian Academy of Sciences in Petrozvavodsk, Russia, also in July 2015. These papers cover a wide range of topics in game theory, including recent advances in areas with high potential for future work, as well as new developments on classical results. Some of these includeA new approach to journal ranking using methods from social choice theory;A differential game of a duopoly in which two firms are competing for market share in an industry with network externalities;The impact of information propagation in the model of tax audits;A voting model in which the results of previous votes can affect the process of coalition formation in a decision-making body;The Selten-Szidarovsky technique for the analysis of Nash equilibria of games with an aggregative structure;Generalized nucleoli and generalized bargaining sets for games with restricted cooperation;Bayesian networks and games of deterrence; andA new look at the study of solutions for games in partition function form.The maturity and vitality of modern-day game theory are reflected in the new ideas, novel applications, and contributions of young researchers represented in this collection. It will be of interest to anyone doing theoretical research in game theory or working on one its numerous applications.

This volume, which includes contributions from leading scientists and clinicians in the field, provides definitive, state-of-the-art information on STAT inhibitors in a biological and clinical context.

This volume collects selected papers from the 7th High Dimensional Probability meeting held at the Institut d'Études Scientifiques de Cargèse (IESC) in Corsica, France.High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, and random graphs.The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.

The contributions in this proceedings volume offer a new perspective on the mathematical ties between France and Italy, and reveal how mathematical developments in these two countries affected one another.

This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author's two-volume work on inequalities.

This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time.

This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.

The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.Contributors:┬╖ Nicolas Addington┬╖ Benjamin Antieau┬╖ Kenneth Ascher ┬╖ Asher Auel┬╖ Fedor Bogomolov┬╖ Jean-Louis Colliot-Th├⌐l├¿ne┬╖ Krishna Dasaratha┬╖ Brendan Hassett┬╖ Colin Ingalls┬╖ Mart├¡ Lahoz┬╖ Emanuele Macr├¼┬╖ Kelly McKinnie┬╖ Andrew Obus┬╖ Ekin Ozman┬╖ Raman Parimala┬╖ Alexander Perry┬╖ Alena Pirutka┬╖ Justin Sawon┬╖ Alexei N. Skorobogatov┬╖ Paolo Stellari┬╖ Sho Tanimoto┬╖ Hugh Thomas┬╖ Yuri Tschinkel┬╖ Anthony V├írilly-Alvarado┬╖ Bianca Viray┬╖ Rong Zhou

This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research.

This bookprovides an overview of the latest developments concerning the moduli of K3surfaces. It is aimed at algebraic geometers, but is also of interest to numbertheorists and theoretical physicists, and continues the tradition of relatedvolumes like ¿The Moduli Space of Curves¿ and ¿Moduli of Abelian Varieties,¿which originated from conferences on the islands Texel and Schiermonnikoog andwhich have become classics.K3 surfacesand their moduli form a central topic in algebraic geometry and arithmeticgeometry, and have recently attracted a lot of attention from bothmathematicians and theoretical physicists. Advances in this field often resultfrom mixing sophisticated techniques from algebraic geometry, lattice theory,number theory, and dynamical systems. The topic has received significantimpetus due to recent breakthroughs on the Tate conjecture, the study ofstability conditions and derived categories, and links with mirror symmetry andstring theory. At the same time, the theory of irreducible holomorphicsymplectic varieties, the higher dimensional analogues of K3 surfaces, hasbecome a mainstream topic in algebraic geometry.Contributors:S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman,K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M.Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I.Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.

The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss recent trends and results in these areas.

Thiscollection presents significant contributions from an international network project on mathematicalcultures, including essays from leading scholars in the history and philosophyof mathematics and mathematics education. Mathematicshas universal standards of validity.

In this innovative title, the authors describe unique patient populations affected by stigma and prejudice and the prevalence of these issues to all healthcare providers. Each chapter covers the forms of prejudice and stigma associated with minority statuses, including religious minorities, the homeless, as well as those stigmatized by medical serious medical conditions, such HIV/AIDS, obesity, and substance misuse disorders. The chapters focus on the importance of recognizing biological differences and similarities within such groups and describes the challenges and best practices for optimum healthcare outcomes. The text describes innovative ways to connect in a clinical setting with people of diverse backgrounds. The text also covers future directions and areas of research and innovative clinical work being done.Written by experts in the field, Stigma and Prejudice is an excellent resource for psychiatrist, psychologists, general physicians, social workers, and all other medical professionals working with stigmatized populations.

The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume I is organized around the theme of frames and other bases in abstract and function spaces, covering topics such as:The advanced development of frames, including Sigma-Delta quantization for fusion frames, localization of frames, and frame conditioning, as well as applications to distributed sensor networks, Galerkin-like representation of operators, scaling on graphs, and dynamical sampling.A systematic approach to shearlets with applications to wavefront sets and function spaces.Prolate and generalized prolate functions, spherical Gauss-Laguerre basis functions, and radial basis functions.Kernel methods, wavelets, and frames on compact and non-compact manifolds.

This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Bedlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics.The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.

This book focuses on cartilage defects and new mesenchymal stem cell-based treatments for their repair and regeneration. Cartilage Regeneration focuses on the biology of MSCs and their possible applications in cartilage reconstruction, with the goal of bringing new insights into regenerative medicine.

This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut.