Information Dynamics

This book has a long history of more than 20 years. The first attempt to write a monograph on information-theoretic approach to thermodynamics was done by one of the authors (RSI) in 1974 when he published, in the preprint form, two volumes of the book "Information Theory and Thermodynamics" concerning classical and quantum information theory, [153] (220 pp.), [154] (185 pp.). In spite of the encouraging remarks by some of the readers, the physical part of this book was never written except for the first chapter. Now this material is written completely anew and in much greater extent. A few years earlier, in 1970, second author of the present book, (AK), a doctoral student and collaborator of RSI in Toruli, published in Polish, also as a preprint, his habilitation dissertation "Information-theoretical decision scheme in quantum statistical mechanics" [196] (96 pp.). This small monograph presented his original results in the physical part of the theory developed in the Torun school. Unfortunately, this preprint was never published in English. The present book contains all these results in a much more modern and developed form.

Presents a broad examination of the nature of virtual worlds and the potential they provide in managing and expressing information practices through that medium, grounding information professionals and students of new media in the fundamental elements of virtual worlds and online gaming. The book details the practical issues in finding and using information in virtual environments and presents a general theory of librarianship as it relates to virtual gaming worlds. It is encompassed by a set of best practice methods that libraries can effectively execute in their own environments, meeting the needs of this new generation of library user, and explores ways in which information literacy can be approached in virtual worlds. Final chapters examine how conventional information evaluation skills work falls short in virtual worlds online. Maps out areas of good practice and technique for information professionals and librarians serving in virtual communities Provides a clear foundation with appropriate theory for understanding information in virtual worlds Treats virtual worlds as ‘real environments’ and observes the behaviour of actors within them

In this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure.

This volume constitutes the refereed proceedings of the 11th International Conference on Simulation and Adaptive Behavior, SAB 2010, held in Paris and Clos Lucé, France, in August 2010. The articles cover all main areas in animat research, including perception and motor control, action selection, motivation and emotion, internal models and representation, collective behavior, language evolution, evolution and learning. The authors focus on well-defined models, computer simulations or robotic models, that help to characterize and compare various organizational principles, architectures, and adaptation processes capable of inducing adaptive behavior in real animals or synthetic agents, the animats.

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to resear.

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory. This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications. Tools and techniques presented here will be of great value to researchers. Contents:Central Extension of Virasoro Type Subalgebras of the Zamolodchikov–w∞ Lie Algebra (L Accardi and A Boukas)Entanglement Protection and Generation Under Continuous Monitoring (A Barchielli and M Gregoratti)Completely Positive Transformations of Quantum Operations (G Chiribella, A Toigo and V Umanità)Invariant Operators in Schrödinger Setting (V K Dobrev)Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems (F Fagnola and L Pantaleón Martínez)Quantum Observables on a Completely Simple Semigroup (Ph. Feinsilver)A Mathematical Treatment for the Contextual Dependent Bio-Systems (T Hara and M Ohya)On the Spectral Gap of the N-Photon Absorption-Emission Process (R Hermida and R Quezada)Some Recent Topics on White Noise Theory (T Hida and Si Si)Quantum Lévy Area as Quantum Martingale Limit (R L Hudson)On Computational Complexity of Quantum Algorithm for Factoring (S Iriyama, M Ohya and I V Volovich)Prequantum Classical Statistical Field Theory: Derivation of Gaussianity of Probability Distributions (A Khrennikov)A Survey on Extensions of Hilbert C*-Modules (B Kolarec)An Isometry Formula for a New Stochastic Integral (H-H Kuo, A Sae-Tang and B Szozda)Infinite Dimensional Laplacians Associated with Derivatives of White Noise (K Saitô)A New Noise Depending on a Space Parameter and Its Transformations (Si Si)Note on Complexities for Gaussian Communication Processes (N Watanabe) Readership: Researchers in stochastic analysis, quantum probability, quantum information, mathematical modeling, and probability and statistics. Keywords:Quantum Probability;Infinite Dimensional Analysis;Quantum White Noise;Quantum Markov Semigroups;Quantum Stochastic Calculus;Quantum Computation;Quantum Measurement;Quantum OperationsKey Features:Clear and quick information on hot research topicsOriginality of contributionsLeading expects in their field

The Twelfth International Workshop on Maximum Entropy and Bayesian Methods in Sciences and Engineering (MaxEnt 92) was held in Paris, France, at the Centre National de la Recherche Scientifique (CNRS), July 19-24, 1992. It is important to note that, since its creation in 1980 by some of the researchers of the physics department at the Wyoming University in Laramie, this was the second time that it took place in Europe, the first time was in 1988 in Cambridge. The two specificities of MaxEnt workshops are their spontaneous and informal charac ters which give the participants the possibility to discuss easily and to make very fruitful scientific and friendship relations among each others. This year's organizers had fixed two main objectives: i) to have more participants from the European countries, and ii) to give special interest to maximum entropy and Bayesian methods in signal and image processing. We are happy to see that we achieved these objectives: i) we had about 100 participants with more than 50 per cent from the European coun tries, ii) we received many papers in the signal and image processing subjects and we could dedicate a full day of the workshop to the image modelling, restoration and recon struction problems.

This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy