Additive Cellular Automata and Algebraic Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Additive Cellular Automata and Algebraic Series write by Bruce Edward Litow. This book was released on 1992. Additive Cellular Automata and Algebraic Series available in PDF, EPUB and Kindle. Abstract: "A cellular automaton is an array of regularly interconnected identical cells. We study here the special case of automata where each cell depends in additive manner on its neighbours. The successives [sic] states of a given cell form a sequence whose generating series is proved to be always an algebraic series. We also examplify [sic] the realization of a given algebraic series by means of an automaton. As a byproduct we obtain a relation between additive cellular automata and certain 'automatic sequences' like the paper folding sequence."
Cellular Automata And Complexity
Cellular Automata And Complexity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cellular Automata And Complexity write by Stephen Wolfram. This book was released on 2018-03-08. Cellular Automata And Complexity available in PDF, EPUB and Kindle. Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called A Science of Complexity."The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.
Cellular Automata and Groups
Cellular Automata and Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cellular Automata and Groups write by Tullio Ceccherini-Silberstein. This book was released on 2024-02-16. Cellular Automata and Groups available in PDF, EPUB and Kindle. This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, amenability, symbolic dynamics, the algebraic theory of group rings, and other branches of mathematics and theoretical computer science. The topics treated include the Garden of Eden theorem for amenable groups, the Gromov–Weiss surjunctivity theorem, and the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. Entirely self-contained and now in its second edition, the volume includes 10 appendices and more than 600 exercises, the solutions of which are presented in the companion book Exercises in Cellular Automata and Groups (2023) by the same authors. It will appeal to a large audience, including specialists and newcomers to the field.
Additive Cellular Automata
Additive Cellular Automata - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Additive Cellular Automata write by Parimal Pal Chaudhuri. This book was released on 1997-07-11. Additive Cellular Automata available in PDF, EPUB and Kindle. This book presents an extensive survey and report of related research on important developments in cellular automata (CA) theory. The authors introduce you to this theory in a comprehensive manner that will help you understand the basics of CA and be prepared for further research. They illustrate the matrix algebraic tools that characterize group CA and help develop its applications in the field of VLSI testing. The text examines schemes based on easily testable FSM, bit-error correcting code, byte error correcting code, and characterization of 2D cellular automata. In addition, it looks into CA-based universal pattern generation, data encryption, and synthesis of easily testable combinational logic. The book covers new characterizations of group CA behavior, CA-based tools for fault diagnosis, and a wide variety of applications to solve real-life problems.
Models of Massive Parallelism
Models of Massive Parallelism - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Models of Massive Parallelism write by Max Garzon. This book was released on 2012-12-06. Models of Massive Parallelism available in PDF, EPUB and Kindle. Locality is a fundamental restriction in nature. On the other hand, adaptive complex systems, life in particular, exhibit a sense of permanence and time lessness amidst relentless constant changes in surrounding environments that make the global properties of the physical world the most important problems in understanding their nature and structure. Thus, much of the differential and integral Calculus deals with the problem of passing from local information (as expressed, for example, by a differential equation, or the contour of a region) to global features of a system's behavior (an equation of growth, or an area). Fundamental laws in the exact sciences seek to express the observable global behavior of physical objects through equations about local interaction of their components, on the assumption that the continuum is the most accurate model of physical reality. Paradoxically, much of modern physics calls for a fundamen tal discrete component in our understanding of the physical world. Useful computational models must be eventually constructed in hardware, and as such can only be based on local interaction of simple processing elements.
