Series: Statistics: A Series of Textbooks and Monographs
ISBN: 9781584887881
ISBN 10: 1584887885
Publication Date: 12/15/2007
Number of Pages: 306
Presents Bayesian likelihood and frequentist likelihood approaches to statistical analysis
Develops ecological and biological modeling processes from data, design, and mathematical relationships
Provides the data analysis and scientific concepts underlying mathematical and statistical models in each application
Includes a CD-ROM of datasets and computer coding
Through an integrated and comparative approach, Bayesian Likelihood Methods in Ecology and Biology provides a clear guide to the development, application, and interpretation of Bayesian statistical methods to real-world scientific problems in ecology and biology. The book presents an overview of likelihood-based statistical models and offers a modern Bayesian interpretation. Applications of these models to biological and ecological problems are then presented in detail. Statistical methods used for calculations include linear models, categorical data analysis, and survival analysis. A CD-ROM of datasets and computer coding using programs such as WinBUGS and S-PLUS accompanies the book.
EMS Tracts in Mathematics Vol. 2
ISBN 978-3-03719-032-6
May 2007, 693 pages, hardcover, 17.0 cm x 24.0 cm.
Lie groups were introduced in 1870 by the Norwegian mathematician Sophus Lie. A century later Jean Dieudonne quipped that Lie groups had moved to the center of mathematics and that one cannot undertake anything without them.
??If a complete topological group G can be approximated by Lie groups in the sense that every identity neighborhood U of G contains a normal subgroup N such that G/N is a Lie group, then it is called a pro-Lie group. Every locally compact connected topological group and every compact group is a pro-Lie group. While the class of locally compact groups is not closed under the formation of arbitrary products, the class of pro-Lie groups is.
??For half a century, locally compact pro-Lie groups have drifted through the literature, yet this is the first book which systematically treats the Lie and structure theory of pro-Lie groups irrespective of local compactness. This study fits very well into that current trend which addresses infinite dimensional Lie groups. The results of this text are based on a theory of pro-Lie algebras which parallels the structure theory of finite dimensional real Lie algebras to an astonishing degree even though it has to overcome greater technical obstacles.
??This book exposes a Lie theory of connected pro-Lie groups (and hence of connected locally compact groups) and illuminates the manifold ways in which their structure theory reduces to that of compact groups on the one hand and of finite dimensional Lie groups on the other. It is a continuation of the authors' fundamental monograph on the structure of compact groups (1998, 2006), and is an invaluable tool for researchers in topological groups, Lie theory, harmonic analysis and representation theory. It is written to be accessible to advanced graduate students wishing to study this fascinating and important area of current research, which has so many fruitful interactions with other fields of mathematics.
EMS Tracts in Mathematics Vol. 1
ISBN 978-3-03719-033-3
May 2007, 207 pages, hardcover, 17.0 cm x 24.0 cm.
48.00 Euro
The book deals with existence, uniqueness, regularity and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation ut = Δum, m ? 0, u ? 0. Such models arise in plasma physics, diffusions through porous media, thin liquid film dynamics as well as in geometric flows such as the Ricci flow on surfaces and the Yamabe flow. The approach presented to these problems is through the use of local regularity estimates and Harnack type inequalities, which yield compactness for families of solutions. The theory is quite complete in the slow diffusion case (m > 1) and in the supercritical fast diffusion case (mc < m < 1, mc = (n ? 2)+/n) while many problems remain in the range m ? mc. All of these aspects of the theory are discussed in the book.
The book is addressed to both researchers and to graduate students with a good background in analysis and some previous exposure to partial differential equations.
Research and Exposition in Mathematics -- Volume 30
viii+228 pages, soft cover, ISBN 978-3-88538-230-0, 2007
Connections between logic and lattices were already mentioned by Garrett Birkhoff in his monograph "Lattice Theory" published in 1940 and a number of books appeared since then on this topic discussing semilattices and semilattice structures however only marginally.
The aim of our monograph is to remedy this situation by concentrating on semilattices and semilattice structures exclusively. We also discuss implication logics, but focus on the collection of descriptions and properties of the corresponding algebraic structures. We present many known and new results, in particular on semilattices equipped with supplementary operations such as for example pseudocomplementation or relative pseudocomplementation and their generalizations.
We believe that this book can be of considerable interest for algebraists working on semilattice structures or algebras related to logic as well as for logicians. We suppose that the book can initiate a further development of the topic and that it can in particular be useful for mathematicians starting to work in semilattice structures.
Table of contents
This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools, thus making it easily accessible to a broader audience of researchers and students. Unique material on the most intriguing and fascinating topics of unsolved and current problems in contemporary chaos theory is presented. The coverage includes: separatrix chaos; properties and a description of systems with non-ergodic dynamics; the distribution of Poincare recurrences and their role in transport theory; dynamical models of the Maxwell’s Demon, the occurrence of persistent fluctuations, and a detailed discussion of their role in the problem underlying the foundation of statistical physics; the emergence of stochastic webs in phase space and their link to space tiling with periodic (crystal type) and aperiodic (quasi-crystal type) symmetries.
This second edition expands on pseudochaotic dynamics with weak mixing and the new phenomenon of fractional kinetics, which is crucial to the transport properties of chaotic motion.
The book is ideally suited to all those who are actively working on the problems of dynamical chaos as well as to those looking for new inspiration in this area. It introduces the physicist to the world of Hamiltonian chaos and the mathematician to actual physical problems.The material can also be used by graduate students.
Readership: Graduate students and researchers in physics, mathematics, engineering, chemistry and biophysics.
Reviews of the First Edition
“George Zaslavsky develops ‘fractional kinetics’ in an attempt to give a smoothed, but nondiffusive, description. This phenomenological description captures some aspects of the stickiness of islands, but I believe its mathematical justification remains elusive. Perhaps that is an excellent reason to read this book.”
Nature
“The book is useful for scientists who are actively working on the problems of dynamical chaos … The material can also be used as a textbook for a graduate course on new and emerging directions in Hamiltonian chaos theory.”
Zentralblatt Math
350pp (approx.) Pub. date: Scheduled Summer 2007
ISBN 978-1-86094-795-7
1-86094-795-6
IMS Lecture Notes Monograph Series 2006, Vol. 52,
A major research area of Ching-Zong Wei (1949--2004) was time series models and their applications in econometrics and engineering, to which he made many important contributions. A conference on time series and related topics in memory of him was held on December 12--14, 2005, at Academia Sinica in Taipei, where he was Director of the Institute of Statistical Science from 1993 to 1999. Of the forty-two speakers at the conference, twenty contributed to this volume.