Probabilistic Cellular Automata
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Probabilistic Cellular Automata
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Author : Pierre-Yves Louis
language : en
Publisher: Springer
Release Date : 2018-02-21
Probabilistic Cellular Automata written by Pierre-Yves Louis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-21 with Mathematics categories.
This book explores Probabilistic Cellular Automata (PCA) from the perspectives of statistical mechanics, probability theory, computational biology and computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena driven by interactions among a large number of neighboring structures. PCA are currently being used in various fields, ranging from pure probability to the social sciences and including a wealth of scientific and technological applications. This situation has produced a highly diversified pool of theoreticians, developers and practitioners whose interaction is highly desirable but can be hampered by differences in jargon and focus. This book – just as the workshop on which it is based – is an attempt to overcome these difference and foster interest among newcomers and interaction between practitioners from different fields. It is not intended as a treatise, but rather as a gentle introduction to the role and relevance of PCA technology, illustrated with a number of applications in probability, statistical mechanics, computer science, the natural sciences and dynamical systems. As such, it will be of interest to students and non-specialists looking to enter the field and to explore its challenges and open issues.
One Dimensional Cellular Automata
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Author : Harold V. McIntosh
language : en
Publisher: Luniver Press
Release Date : 2009
One Dimensional Cellular Automata written by Harold V. McIntosh and has been published by Luniver Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.
The book deals with analytical and computational studies of spatially-extended discrete dynamical systems: one-dimensional cellular automata. The topics included are non-constructible configurations, reversibility, probabilistic analysis and De Bruijn diagrams. Techniques discussed are based on topology, matrix theory, formal languages and probability theory. The book is an excellent reading for anybody interested in non-linearity, emergency, complexity and self-organization.
Cellular Automata Machines
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Author : Tommaso Toffoli
language : en
Publisher: MIT Press
Release Date : 1987
Cellular Automata Machines written by Tommaso Toffoli and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computers categories.
Theory of Computation -- Computation by Abstracts Devices.
Identification Of Probabilistic Cellular Automata
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Author : S. A. Billings
language : en
Publisher:
Release Date : 1999
Identification Of Probabilistic Cellular Automata written by S. A. Billings and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Applied mathematics categories.
Game Of Life Cellular Automata
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Author : Andrew Adamatzky
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-14
Game Of Life Cellular Automata written by Andrew Adamatzky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-14 with Computers categories.
In the late 1960s British mathematician John Conway invented a virtual mathematical machine that operates on a two-dimensional array of square cell. Each cell takes two states, live and dead. The cells’ states are updated simultaneously and in discrete time. A dead cell comes to life if it has exactly three live neighbours. A live cell remains alive if two or three of its neighbours are alive, otherwise the cell dies. Conway’s Game of Life became the most programmed solitary game and the most known cellular automaton. The book brings together results of forty years of study into computational, mathematical, physical and engineering aspects of The Game of Life cellular automata. Selected topics include phenomenology and statistical behaviour; space-time dynamics on Penrose tilling and hyperbolic spaces; generation of music; algebraic properties; modelling of financial markets; semi-quantum extensions; predicting emergence; dual-graph based analysis; fuzzy, limit behaviour and threshold scaling; evolving cell-state transition rules; localization dynamics in quasi-chemical analogues of GoL; self-organisation towards criticality; asynochrous implementations. The volume is unique because it gives a comprehensive presentation of the theoretical and experimental foundations, cutting-edge computation techniques and mathematical analysis of the fabulously complex, self-organized and emergent phenomena defined by incredibly simple rules.
The Cellular Automaton Interpretation Of Quantum Mechanics
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Author : Gerard 't Hooft
language : en
Publisher: Springer
Release Date : 2016-09-02
The Cellular Automaton Interpretation Of Quantum Mechanics written by Gerard 't Hooft and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-02 with Science categories.
This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.
Cellular Automata Technology
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Author : Mamata Dalui
language : en
Publisher: Springer Nature
Release Date : 2024-04-18
Cellular Automata Technology written by Mamata Dalui and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-18 with Computers categories.
This book constitutes the refereed conference proceedings of the Third Asian Symposium on Cellular Automata Technology, ASCAT 2024, held in Durgapur, India, during February 29 - March 2, 2024. The 15 full papers presented in this book were carefully reviewed and selected from 33 submissions. The symposium aims to explore the latest advancements, methodologies, and interdisciplinary connections that showcase the versatility and potential impact of cellular automata in contemporary research.
Convergence Towards Equilibrium Of Probabilistic Cellular Automata
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Author : Pierre-Yves Louis
language : en
Publisher:
Release Date : 2003
Convergence Towards Equilibrium Of Probabilistic Cellular Automata written by Pierre-Yves Louis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Additive Cellular Automata
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Author : Parimal Pal Chaudhuri
language : en
Publisher: John Wiley & Sons
Release Date : 1997-07-11
Additive Cellular Automata written by Parimal Pal Chaudhuri and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-11 with Technology & Engineering categories.
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.
The Probabilistic World
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Author : Christof Wetterich
language : en
Publisher: Springer Nature
Release Date : 2025-01-29
The Probabilistic World written by Christof Wetterich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-29 with Science categories.
This book offers a fundamental description of physics using classical probabilities for events occurring at all times and locations throughout the Universe. The laws of quantum mechanics emerge naturally when focusing on a specific moment in time. Each step is explained in detail through simple systems, such as bits, Ising spins, or fermionic occupation numbers, allowing readers to grasp the core concepts of the modern functional integral approach to fundamental physics without requiring prior knowledge. Notably, probabilistic cellular automata are presented as intriguing quantum systems or as representations of fermionic quantum field theories. Embedding quantum mechanics within classical statistics opens up new avenues for computing, particularly through the use of correlation functions. A small neuromorphic computer, for instance, can learn basic quantum operations without the typical requirement for extreme isolation, as is the case with conventional quantum computers. On a philosophical level, the book proposes a fresh perspective on science. The content is aimed at readers with a foundational understanding of physics, suitable for advanced students.