Mathematics springer.com/NEWSonline R. Azencott, University of Houston, TX, USA; J. Batzel, Medical University of Graz, Austria; P. Collet, Ecole Polytechnique, Paris, France; M. I. Freidlin, University of. Maryland, College Park, M. Bachar, King Saud University, Riyadh, Saudi S. Martínez, J. San Martín, University of Chile, MD, USA; S. S. Varadhan, New York University, NY, Arabia; F. Kappel, University of Graz, Austria (Eds) Santiago, Chile USA Mathematical Modeling and Quasi-Stationary Distributions Large Deviations at Saint-Flour Validation in Physiology Markov Chains, Diffusions and Dynamical Contents: Azencott, R. : Large deviations and Applications to the Cardiovascular and Systems applications.- Freidlin, Mark I. Semi-linear PDE’s Respiratory Systems and limit theorems for large deviations- Varadhan, Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the Srinivasa R.S.: Large deviations and applications. Features present volume. For diffusions, the killing is at 7 Focused study of modeling from model design Contents the boundary and for dynamical systems there is to model identifiability and validation 7 Written a trap. The authors present the QSDs as the ones Azencott, R. : Large deviations and applications.- by current leading experts in the field and includ- that allow describing the long-term behavior Freidlin, Mark I. Semi-linear PDE’s and limit ing topics of current research interest in state conditioned to not being killed. Studies in this re- theorems for large deviations- Varadhan, Srinivasa of the art questions and methods 7 Focus on search area started with Kolmogorov and Yaglom R.S.: Large deviations and applications. interdisciplinary (physiological and mathemati- and in the last few decades have received a great cal) collaboration and applications of modeling Fields of interest deal of attention. The authors provide the expo- with clinical relevance 7 Presentation of key Probability Theory and Stochastic Processes; nential distribution property of the killing time theoretical ideas and current areas of research Partial Differential Equations for QSDs, present the more general result on their interest through clear and motivated examples of existence and study the process of trajectories that application and implementation Target groups survive forever. For birth-and-death chains and Research Contents diffusions, the existence of a single or a continuum of QSDs is described. They study the convergence Discount group 1 Merging Mathematical and Physiological to the extremal QSD and give the classification of Professional Non-Medical Knowledge: Dimensions and Challenges.- 2 Math- ematical Modeling of Physiological Systems.- 3 Pa- the survival process. rameter Selection Methods in Inverse Problem Features Formulation.- 4 Application of the Unscented 7 Deals with an area that has received a lot of Kalman Filtering to Parameter Estimation.- 5 Inte- attention in last decades 7 Provides numerous grative and Reductionist Approaches to Modeling examples 7 Focuses on selected topics of Control of Breathing.- 6 Parameter Identifica- tion in a Respiratory Control System Model with Contents Delay.- 7 Experimental Studies of Respiration and 1.Introduction.- 2.Quasi-stationary Distributions: Apnea.- 8 Model Validation and Control Issues in General Results.- 3.Markov Chains on Finite the Respiratory System.- 9 Experimental Studies Spaces.- 4.Markov Chains on Countable Spaces.- of the Baroreflex.- 10 Development of Patient Spe- 5.Birth and Death Chains.- 6.Regular Diffusions cific Cardiovascular Models Predicting Dynamics on [0,∞).- 7.Infinity as Entrance Boundary.- 8.Dy- in Response to Orthostatic Stress Challenges.- 11 namical Systems.- References.- Index.- Table of Parameter Estimation of a Model for Baroreflex Notations.- Citations Index. Control of Unstressed Volume. Fields of interest Fields of interest Probability Theory and Stochastic Processes; Mathematical and Computational Biology; Hu- Dynamical Systems and Ergodic Theory; Genetics man Physiology; Computer Appl. in Life Sciences and Population Dynamics Target groups Target groups Research Research Discount group Discount group Professional Non-Medical Professional Non-Medical Due October 2012 Based on original French edition: “Ecole d’Ete de Due November 2012 Probabilites de Saint-Flour VIII”, 1978 Due December 2012 2013. X, 290 p. 83 illus., 34 in color. (Lecture Notes in 2013. Approx. 400 p. (Probability at Saint-Flour) Mathematics / Mathematical Biosciences Subseries, 2013. XVIII, 342 p. 14 illus., 12 in color. (Probability Softcover Volume 2064) Softcover and Its Applications) Hardcover 7 $69.95 7 $89.95 7 $129.00 ISBN 978-3-642-33199-2 ISBN 978-3-642-32881-7 ISBN 978-3-642-33130-5 9<HTOGPC=ddbjjc> 9<HTOGPC=dciibh> 9<HTOGPC=ddbdaf> 20 News 10/2012 Mathematics D. V. Cruz-Uribe, Trinity College, Hartford, CT, USA; C. A. de Moura, Rio de Janeiro State University, RJ, W. Ebeling, Leibniz Universität Hannover A. Fiorenza, University of Naples, Italy Brazil; C. S. Kubrusly, Catholic University of Rio de Lattices and Codes Variable Lebesgue Spaces Janeiro, RJ, Brazil (Eds) The Courant–Friedrichs–Lewy A Course Partially Based on Lectures by Foundations and Harmonic Analysis Friedrich Hirzebruch (CFL) Condition This book provides an accessible introduction The purpose of coding theory is the design of effi- 80 Years After its Discovery to the theory of variable Lebesgue spaces. These cient systems for the transmission of information. spaces generalize the classical Lebesgue spaces by This volume comprises a carefully selected col- The mathematical treatment leads to certain finite replacing the constant exponent p with a variable lection of articles emerging from and pertinent to structures: the error-correcting codes. Surpris- exponent p(x). They were introduced in the early the 2010 CFL-80 conference in Rio de Janeiro, cel- ingly problems which are interesting for the design 1930s but have become the focus of renewed ebrating the 80th anniversary of the Courant- of codes turn out to be closely related to problems interest since the early 1990s because of their con- Friedrichs-Lewy (CFL) condition. studied partly earlier and independently in pure nection with the calculus of variations and partial mathematics. In this book, examples of such differential equations with nonstandard growth Features connections are presented. The relation between conditions, and for their applications to problems 7 All articles carefully selected and written by lattices studied in number theory and geometry in physics and image processing. The book begins well-known experts 7 Provides a survey of the and error-correcting codes is discussed. The book with the development of the basic function space current state of the field 7 Includes original provides at the same time an introduction to the properties. It avoids a more abstract, functional research results theory of integral lattices and modular forms and analysis approach, instead emphasizing an hands- to coding theory. In the 3rd edition, again numer- on approach that makes clear the similarities and Contents ous corrections and improvements have been differences between the variable and classical Leb- Foreword.- Stability of Different Schemes.- Math- made and the text has been updated. esgue spaces. The subsequent chapters are devoted ematical Intuition: Poincaré, Pólya, Dew- to harmonic analysis on variable Lebesgue spaces. ey.- Three-dimensional Plasma Arc Simulation Features using Resistive MHD.- A Numerical Algorithm 7 Master course on the relationship between Features for Ambrosetti-Prodi Type Operators.- On the coding theory and the 7 theory of integral lat- 7 Proofs are developed in detail, illustrating the Quadratic Finite Element Approximation of 1-D tices 7 Linking classical mathematics to modern standard techniques used in the field​ 7 Acces- Waves: Propagation, Observation, Control, and aspects in the design of codes 7 With many sible for research mathematicians as well as gradu- Numerical Implementation.- Space-Time Adap- examples and connections to number theory and ate students 7 Provides a thorough and up to tive Mutilresolution Techniques for Compressible geometry date bibliographic treatment that makes clear the Euler Equations.- A Framework for Late-time/stiff Contents history and development of the field Relaxation Asymptotics.- Is the CFL Condition Lattices and Codes.- Theta Functions and Weight Contents Sufficient? Some Remarks.- Fast Chaotic Artificial Time Integration.- Appendix A.- Hans Lewy’s Enumerators.- Even Unimodular Lattices.- The 1 Introduction.- 2 Structure of Variable Leb- Recovered String Trio.- Appendix B.- Appendix Leech Lattice.- Lattices over Integers of Number esgue Spaces.- 3 The Hardy-Littlewood Maximal C.- Appendix D. Fields and Self-Dual Codes. Operator.- 4 Beyond Log-Hölder Continuity.- 5 Extrapolation in the Variable Lebesgue Spaces.- 6 Fields of interest Fields of interest Basic Properties of Variable Sobolev Spaces.- Ap- Computational Mathematics and Numerical Mathematics, general; Algebra pendix: Open Problems.- Bibliography.- Symbol Analysis; Partial Differential Equations; Theory of Index.- Author Index.- Subject Index. Target groups Computation Graduate Fields of interest Target groups Discount group Abstract Harmonic Analysis; Functional Analysis; Research Global Analysis and Analysis on Manifolds Professional Non-Medical Discount group Target groups Professional Non-Medical Research Discount group Professional Non-Medical Due January