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Author: B. Roy Frieden
Publisher: Cambridge University Press
Published: 1998-12-10
Total Pages: 334
ISBN-13: 9780521631679
DOWNLOAD EBOOKA unified derivation of physics from Fisher information, giving new insights into physical phenomena.
Author: B. Roy Frieden
Publisher: Cambridge University Press
Published: 2004-06-10
Total Pages: 516
ISBN-13: 9780521009119
DOWNLOAD EBOOKA new edition of the hugely successful 'Physics from Fisher Information'.
Author: Roy Frieden
Publisher: Springer Science & Business Media
Published: 2010-05-27
Total Pages: 375
ISBN-13: 1846287774
DOWNLOAD EBOOKThis book uses a mathematical approach to deriving the laws of science and technology, based upon the concept of Fisher information. The approach that follows from these ideas is called the principle of Extreme Physical Information (EPI). The authors show how to use EPI to determine the theoretical input/output laws of unknown systems. Will benefit readers whose math skill is at the level of an undergraduate science or engineering degree.
Author: Rolando Rebolledo
Publisher: World Scientific
Published: 2011
Total Pages: 339
ISBN-13: 9814338737
DOWNLOAD EBOOKThis volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.
Author: R.F. Streater
Publisher: Springer Science & Business Media
Published: 2007-07-16
Total Pages: 169
ISBN-13: 3540365826
DOWNLOAD EBOOKThis book deals with a selection of research topics in theoretical physics that have (almost) been proven to be a dead-end or continue at least to be highly controversial. Nevertheless, small but dedicated research communities continue to work on these issues. In a series of essays this book describes their work and struggle as well as the chances of any breakthrough in these areas. It is written as both an entertainment and serious study.
Author: Hidetoshi Nishimori
Publisher: Clarendon Press
Published: 2001
Total Pages: 264
ISBN-13: 9780198509400
DOWNLOAD EBOOKThis superb new book is one of the first publications in recent years to provide a broad overview of this interdisciplinary field. Most of the book is written in a self contained manner, assuming only a general knowledge of statistical mechanics and basic probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments
Author: Len Fisher
Publisher: Basic Books
Published: 2008-11-04
Total Pages: 280
ISBN-13: 0786726938
DOWNLOAD EBOOKPraised by Entertainment Weekly as “the man who put the fizz into physics,” Dr. Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.
Author: Julian Hofrichter
Publisher: Springer
Published: 2017-02-23
Total Pages: 323
ISBN-13: 3319520458
DOWNLOAD EBOOKThe present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
Author: Arni S. R. Srinivasa Rao
Publisher: Elsevier
Published: 2021-09-28
Total Pages: 248
ISBN-13: 0323855679
DOWNLOAD EBOOKThe subject of information geometry blends several areas of statistics, computer science, physics, and mathematics. The subject evolved from the groundbreaking article published by legendary statistician C.R. Rao in 1945. His works led to the creation of Cramer-Rao bounds, Rao distance, and Rao-Blackawellization. Fisher-Rao metrics and Rao distances play a very important role in geodesics, econometric analysis to modern-day business analytics. The chapters of the book are written by experts in the field who have been promoting the field of information geometry and its applications. Written by experts for users of information geometry Basics to advanced readers are equally taken care Origins and Clarity on Foundations
Author: Masahito Hayashi
Publisher: World Scientific
Published: 2005-02-21
Total Pages: 553
ISBN-13: 981448198X
DOWNLOAD EBOOKQuantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference.
