β Scribed by Roberto Livi (auth.), Eric Goles, Servet MartΓnez (eds.)
No coin nor oath required. For personal study only.
This book contains the courses given at the Fourth School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 12th to 16th December 1994. This School brings together scientists working on subjects related to recent trends in complex systems. Some of these subjects deal with dynamical systems, ergodic theory, cellular automata, symbolic and arithmetic dynamics, spatial systems, large deviation theory and neural networks. Scientists working in these subjects come from several aeras: pure and applied mathematics, non linear physics, biology, computer science, electrical engineering and artificial intelligence. Each contribution is devoted to one or more of the previous subjects. In most cases they are structured as surveys, presenting at the same time an original point of view about the topic and showing mostly new results. The expository text of Roberto Livi concerns the study of coupled map lattices (CML) as models of spatially extended dynamical systems. CML is one of the most used tools for the investigation of spatially extended systems. The paper emphasizes rigorous results about the dynamical behavior of one dimensional CML; i.e. a uniform real local function defined in the interval [0,1], interacting with its nearest neighbors in a one dimensional lattice.
Front Matter....Pages i-viii
Models of Spatially Extended Systems....Pages 1-33
Some Dynamical Properties of One-Dimensional Cellular Automata....Pages 35-80
Thermodynamic Formalism of Neural Computing....Pages 81-146
Low Complexity and Geometry....Pages 147-177
Back Matter....Pages 178-178
Statistical Physics, Dynamical Systems and Complexity;Applications of Mathematics;Theory of Computation
π SIMILAR VOLUMES
<p>This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.</p>
Aimed at upper undergraduate and beginning graduate students, this text explores the universal physical and mathematical principles that govern the emergence of complex systems from simple components. Bar-Yam uses both analytic tools (such as stochastic dynamics) and computer simulation techniques t
This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical sys
<p>This is a book book for researchers and practitioners interested in modeling, prediction and forecasting of natural systems based on nonlinear dynamics. It is a practical guide to data analysis and to the development of algorithms, especially for complex systems. Topics such as the characterizati
<p><p>This book gathers together a range of similar problems that can be encountered in different fields of modern quantum physics and that have common features with regard to multilevel quantum systems. The main motivation was to examine from a uniform standpoint various models and approaches that