Mathematical Analysis Of Evolution Information And Complexity

Author : Wolfgang Arendt,Wolfgang P. Schleich
Publisher : John Wiley & Sons
Page : 502 pages
File Size : 48,9 Mb
Release : 2009-07-10
Category : Science
ISBN : 9783527628032

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Mathematical Analysis of Evolution, Information, and Complexity by Wolfgang Arendt,Wolfgang P. Schleich Pdf

Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.

Author : John L. Casti,Anders Karlqvist
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642709531

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Complexity, Language, and Life: Mathematical Approaches by John L. Casti,Anders Karlqvist Pdf

In May 1984 the Swedish Council for Scientific Research convened a small group of investigators at the scientific research station at Abisko, Sweden, for the purpose of examining various conceptual and mathematical views of the evolution of complex systems. The stated theme of the meeting was deliberately kept vague, with only the purpose of discussing alternative mathematically based approaches to the modeling of evolving processes being given as a guideline to the participants. In order to limit the scope to some degree, it was decided to emphasize living rather than nonliving processes and to invite participants from a range of disciplinary specialities spanning the spectrum from pure and applied mathematics to geography and analytic philosophy. The results of the meeting were quite extraordinary; while there was no intent to focus the papers and discussion into predefined channels, an immediate self-organizing effect took place and the deliberations quickly oriented themselves into three main streams: conceptual and formal structures for characterizing sys tem complexity; evolutionary processes in biology and ecology; the emergence of complexity through evolution in natural lan guages. The chapters presented in this volume are not the proceed ings of the meeting. Following the meeting, the organizers felt that the ideas and spirit of the gathering should be preserved in some written form, so the participants were each requested to produce a chapter, explicating the views they presented at Abisko, written specifically for this volume. The results of this exercise form the volume you hold in your hand.

Author : Peter Erdi
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 40,6 Mb
Release : 2007-11-09
Category : Technology & Engineering
ISBN : 9783540357780

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Complexity Explained by Peter Erdi Pdf

This book explains why complex systems research is important in understanding the structure, function and dynamics of complex natural and social phenomena. It illuminates how complex collective behavior emerges from the parts of a system, due to the interaction between the system and its environment. Readers will learn the basic concepts and methods of complex system research. The book is not highly technical mathematically, but teaches and uses the basic mathematical notions of dynamical system theory, making the book useful for students of science majors and graduate courses.

Author : G. Nicolis
Publisher : World Scientific
Page : 384 pages
File Size : 41,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814366618

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Foundations of Complex Systems by G. Nicolis Pdf

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.

Author : John E. Mayfield
Publisher : Columbia University Press
Page : 417 pages
File Size : 53,9 Mb
Release : 2013-07-09
Category : Science
ISBN : 9780231535281

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The Engine of Complexity by John E. Mayfield Pdf

The concepts of evolution and complexity theory have become part of the intellectual ether permeating the life sciences, the social and behavioral sciences, and, more recently, management science and economics. In this book, John E. Mayfield elegantly synthesizes core concepts from multiple disciplines to offer a new approach to understanding how evolution works and how complex organisms, structures, organizations, and social orders can and do arise based on information theory and computational science. Intended for the intellectually adventuresome, this book challenges and rewards readers with a nuanced understanding of evolution and complexity that offers consistent, durable, and coherent explanations for major aspects of our life experiences. Numerous examples throughout the book illustrate evolution and complexity formation in action and highlight the core function of computation lying at the work's heart.

Author : Günther Palm
Publisher : Springer Nature
Page : 294 pages
File Size : 51,7 Mb
Release : 2023-01-02
Category : Mathematics
ISBN : 9783662658758

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Novelty, Information and Surprise by Günther Palm Pdf

This revised edition offers an approach to information theory that is more general than the classical approach of Shannon. Classically, information is defined for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space Ω) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of Ω, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these concepts, mostly in statistics and in neuroscience.

Author : G. Nicolis,Cathy Nicolis
Publisher : World Scientific
Page : 384 pages
File Size : 48,6 Mb
Release : 2012
Category : Computers
ISBN : 9789814366601

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Foundations of Complex Systems by G. Nicolis,Cathy Nicolis Pdf

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.

Author : Victor Ivrii
Publisher : Springer Nature
Page : 739 pages
File Size : 46,5 Mb
Release : 2019-09-13
Category : Mathematics
ISBN : 9783030305611

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications V by Victor Ivrii Pdf

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.

Author : Victor Ivrii
Publisher : Springer Nature
Page : 889 pages
File Size : 50,6 Mb
Release : 2019-09-12
Category : Mathematics
ISBN : 9783030305574

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications I by Victor Ivrii Pdf

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.

Author : Victor Ivrii
Publisher : Springer Nature
Page : 729 pages
File Size : 47,7 Mb
Release : 2019-09-12
Category : Mathematics
ISBN : 9783030305376

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications III by Victor Ivrii Pdf

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.

Author : Victor Ivrii
Publisher : Springer Nature
Page : 714 pages
File Size : 55,5 Mb
Release : 2019-09-11
Category : Mathematics
ISBN : 9783030305451

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV by Victor Ivrii Pdf

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.

Author : Victor Ivrii
Publisher : Springer Nature
Page : 525 pages
File Size : 45,7 Mb
Release : 2019-09-11
Category : Mathematics
ISBN : 9783030305413

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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II by Victor Ivrii Pdf

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.

Author : Marks Ii Robert J,Dembski William A,Ewert Winston
Publisher : World Scientific
Page : 332 pages
File Size : 53,9 Mb
Release : 2017-02-27
Category : Computers
ISBN : 9789813142169

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Introduction To Evolutionary Informatics by Marks Ii Robert J,Dembski William A,Ewert Winston Pdf

Science has made great strides in modeling space, time, mass and energy. Yet little attention has been paid to the precise representation of the information ubiquitous in nature. Introduction to Evolutionary Informatics fuses results from complexity modeling and information theory that allow both meaning and design difficulty in nature to be measured in bits. Built on the foundation of a series of peer-reviewed papers published by the authors, the book is written at a level easily understandable to readers with knowledge of rudimentary high school math. Those seeking a quick first read or those not interested in mathematical detail can skip marked sections in the monograph and still experience the impact of this new and exciting model of nature's information. This book is written for enthusiasts in science, engineering and mathematics interested in understanding the essential role of information in closely examined evolution theory.

Author : Tingwen Huang,Zhigang Zeng,Chuandong Li,Chi Sing Leung
Publisher : Springer
Page : 712 pages
File Size : 42,5 Mb
Release : 2012-11-05
Category : Computers
ISBN : 9783642344817

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Neural Information Processing by Tingwen Huang,Zhigang Zeng,Chuandong Li,Chi Sing Leung Pdf

The five volume set LNCS 7663, LNCS 7664, LNCS 7665, LNCS 7666 and LNCS 7667 constitutes the proceedings of the 19th International Conference on Neural Information Processing, ICONIP 2012, held in Doha, Qatar, in November 2012. The 423 regular session papers presented were carefully reviewed and selected from numerous submissions. These papers cover all major topics of theoretical research, empirical study and applications of neural information processing research. The 5 volumes represent 5 topical sections containing articles on theoretical analysis, neural modeling, algorithms, applications, as well as simulation and synthesis.

Author : Robert Dautray
Publisher : Unknown
Page : 512 pages
File Size : 51,7 Mb
Release : 1988
Category : Mathematical analysis
ISBN : UCSC:32106011805907

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Mathematical Analysis and Numerical Methods for Science and Technology: Evolution problems II by Robert Dautray Pdf