Bøker utgitt av Birkhauser Verlag AG

This volume contains extended abstracts outlining selected talks and other selected presentations given by participants throughout the "Intensive Research Program on Advances in Nonsmooth Dynamics 2016", held at the Centre de Recerca Matemàtica (CRM) in Barcelona from February 1st to April 29th, 2016. They include brief research articles reporting new results, descriptions of preliminary work or open problems, and outlines of prominent discussion sessions. The articles are all the result of direct collaborations initiated during the research program.The topic is the theory and applications of Nonsmooth Dynamics. This includes systems involving elements of: impacting, switching, on/off control, hybrid discrete-continuous dynamics, jumps in physical properties, and many others. Applications include: electronics, climate modeling, life sciences, mechanics, ecology, and more. Numerous new results are reported concerning the dimensionality and robustness of nonsmooth models, shadowing variables, numbers of limit cycles, discontinuity-induced bifurcations and chaos, determinacy-breaking, stability criteria, and the classification of attractors and other singularities. This material offers a variety of new exciting problems to mathematicians, but also a diverse range of new tools and insights for scientists and engineers making use of mathematical modeling and analysis.The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.

This book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.The two parts of the present volume contain extended conference abstracts corresponding to selected talks from the "Biostatnet workshop on Biomedical (Big) Data" and from the "DoReMi LD-RadStats: Workshop for statisticians interested in contributing to EU low dose radiation research", the first held at the Centre de Recerca Matemàtica (CRM) in Barcelona from November 26th to 27th, 2015, and the second held at the Institut de Salut Global ISGlobal (former CREAL) from October 26th to 28th, 2015. Most of them are brief articles, containing preliminary presentations of new results not yet published in regular research journals.The first part is devoted to the challenges of analyzing the so called "Biomedical Big Data", large amounts of biomedical and health data that are generated every day due to the use of recent technological advances such as massive genomic sequencing, electronic health records or high-resolution medical imaging, among others. The analysis of this information poses significant challenges to researchers in the field of biostatistics, bioinformatics, and signal processing. Furthermore, other relevant challenges of biostatistical research, not necessarily involving big data, are also discussed. The second part is dedicated to low dose radiation research, where there is a need to fully understand sources of uncertainty and how to characterise them before they can be reduced. Further, formal uncertainty analysis has the potential to provide a common platform for multidisciplinary research in this field.

The second 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 II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as:The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems.Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets.Applications of harmonic analysis to data science and statisticsBoundary-value problems for PDE's including the Runge¿Walsh theorem for the oblique derivative problem of physical geodesy.

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.

Now in a fully revised and updated second edition, written and editing by leading experts in the field, this comprehensive and practical text brings together the latest guidelines and recommendations on the benefits of exercise and physical activity in the management of diabetes and its complications, providing both the researcher and practitioner with evidence-based information that is both theoretically and clinically useful. Part one sets the stage by discussing the epidemiology and prevention of type 2 diabetes and the metabolic syndrome. The physiological effects of exercise in type 2 diabetes are covered in part two, covering molecular mechanisms, adiposity, sex differences, cardiovascular consequences and musculoskeletal changes. Part three addresses practical issues that are essential in order to safely engage patients with diabetes in exercise-related research protocols and clinical programs, including DPP and LOOK Ahead, nutrition, behavioral changes, and guidelines for exercise testing. The final section examines special considerations for exercise in people with diabetes, such as those with neuropathy, cardiac issues and peripheral artery disease. Taken together, Diabetes and Exercise, Second Edition brings together the latest information and thought leaders in the field to create a unique and useful text for all clinicians, researchers and therapists working to integrate physical activity into their management strategies for the increasing number of diabetic patients.

This book combines the current knowledge on the role of lipids in stem cell pluripotency and differentiation.

The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book.

Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis.

The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.

Collectively, bioengineered tumors create an important resource for the in vitro study of tumor growth in 3D including tumor biomechanics and the effects of anti-cancer drugs on 3D tumor tissue.

This book illustrates the imperative for late-life depression prevention, introducing a broad range of approaches to prevention and provides detailed examples of clinical applications of late-life depression prevention - all with consideration of medical and scientific, social, economic and global health perspectives.

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2016.

This book celebrates the final spaceflight in the Mercury series, flown by NASA astronaut Gordon Cooper, who led an adventurous life in the cockpit of airplanes and spacecraft alike, and on his Mercury mission he became the last American ever to rocket into space alone.

Offering a unique contribution - by exploring in detail the "synergy" of analytical and numerical methods - the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics.

This book provides a road map for the efficient and successful management of atrial fibrillation (AF) in the short stay unit.

By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications.

This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).

The second edition of this text reviews the prevention, evaluation and management of complications arising from female pelvic surgery.

It provides a valuable resource to pediatricians and pediatric urologists facing urological management issues beyond their expertise in their aging patients as well as technical guidance to adult urologists who may have had little or no experience caring for patients with a congenital condition.

This book focuses on the basic aspects of dental stem cells (DSCs) as well as their clinical applications in tissue engineering and regenerative medicine.

The latest edition of this text provides a comprehensive overview of the "natural flow of knowledge" regarding inflammatory bowel disease, with an emphasis on state-of-the art approaches that should be the basis for diagnosis and treatment of most patients.

This study provides innovative mathematical models for assessing the eruption probability and associated volcanic hazards, and applies them to the Campi Flegrei caldera in Italy.