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Contemporary Metabolism
It is abundantly clear that a number of subtle abnormalities in hypothalamic function are associated with human obesity. Some hormonal abnormalities-the diminished growth hormone responses, for example-are critically dependent on increased caloric intake and are quickly reversible with weight loss. Others, such as the blunted prolactin response to acute hypoglycemia, may persist in the reduced-obese state. Still others (e. g. , the blunted ACTH responses to insulin induced hypoglycemia) may, in some patients, first appear in the reduced-obese state. It remains uncertain whether any of these abnormalities is ever antecedent to the presence of obesity. Obviously, it is difficult to plan experi...
Constructive Computation in Stochastic Models with Applications
"Constructive Computation in Stochastic Models with Applications: The RG-Factorizations" provides a unified, constructive and algorithmic framework for numerical computation of many practical stochastic systems. It summarizes recent important advances in computational study of stochastic models from several crucial directions, such as stationary computation, transient solution, asymptotic analysis, reward processes, decision processes, sensitivity analysis as well as game theory. Graduate students, researchers and practicing engineers in the field of operations research, management sciences, applied probability, computer networks, manufacturing systems, transportation systems, insurance and finance, risk management and biological sciences will find this book valuable. Dr. Quan-Lin Li is an Associate Professor at the Department of Industrial Engineering of Tsinghua University, China.
Arithmetic and Geometry
The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.
Recent Advances in Algebraic Geometry
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
High Dimensional Probability
What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings.
Surveys in Combinatorics 2015
This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
A monograph containing significant new developments in the theory of reaction-diffusion systems, particularly those arising in chemistry and life sciences.
Surveys in Stochastic Processes
The 33rd Bernoulli Society Conference on Stochastic Processes and Their Applications was held in Berlin from July 27 to July 31, 2009. It brought together more than 600 researchers from 49 countries to discuss recent progress in the mathematical research related to stochastic processes, with applications ranging from biology to statistical mechanics, finance and climatology. This book collects survey articles highlighting new trends and focal points in the area written by plenary speakers of the conference, all of them outstanding international experts. A particular aim of this collection is to inspire young scientists to pursue research goals in the wide range of fields represented in this volume.
Reversibility in Dynamics and Group Theory
An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics.
