Cellular Automata In Hyperbolic Spaces
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Cellular Automata In Hyperbolic Spaces
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Author : Maurice Margenstern
language : en
Publisher: Archives contemporaines
Release Date : 2007
Cellular Automata In Hyperbolic Spaces written by Maurice Margenstern and has been published by Archives contemporaines this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Cellular automata categories.
Small Universal Cellular Automata In Hyperbolic Spaces
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Author : Maurice Margenstern
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Small Universal Cellular Automata In Hyperbolic Spaces written by Maurice Margenstern 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 2013-03-14 with Technology & Engineering categories.
Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology. Besides specialists of these domains, many specialists of new domains start to show a growing interest both to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science. This book gives the reader a deep and efficient introduction to an algorithmic approach to hyperbolic geometry. It focuses the attention on the possibilities to obtain in this frame the power of computing everything a computer can compute, that is to say: universality. The minimal ways to get universality are investigated in a large family of tilings of the hyperbolic plane. In several cases the best results are obtained.In all cases, the results are close to the theoretical best values. This gives rise to fantastic illustrations: the results are jewels in all meanings of the word. ------------------------ Maurice MARGENSTERN is professor emeritus at the University of Lorraine, he is a member of LITA, the research unit of computer science in the campus of Metz of this university. Professor Margenstern is amongst top world experts in theory of computation, mathematical machines and geometry. He is a pioneer in cellular automata in hyperbolic spaces.
Cellular Automata In Hyperbolic Spaces
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Author : Maurice Margenstern
language : en
Publisher: Archives contemporaines
Release Date : 2008
Cellular Automata In Hyperbolic Spaces written by Maurice Margenstern and has been published by Archives contemporaines this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Cellular automata categories.
Proceedings Of The Workshop On Computation Theory And Practice Wctp 2024
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Author : Jaime Caro
language : en
Publisher: Springer Nature
Release Date : 2025-04-30
Proceedings Of The Workshop On Computation Theory And Practice Wctp 2024 written by Jaime Caro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Computers categories.
This is an open access book. Computation should be a good blend of theory and practice. Researchers in the field should create algorithms to address real world problems putting equal weight to analysis and implementation. Experimentation and simulation can be viewed as yielding to refined theories or improved applications. WCTP 2024 is the 13th workshop organized by the Tokyo Institute of Technology, Chitose Institute of Science and Technology, Kyoto Tachibana University, University of the Philippines-Diliman and De La Salle University-Manila that is devoted to theoretical and practical approaches to computation. It aims to present the latest developments by theoreticians and practitioners in academe and industry working to address computational problems that can directly impact the way we live in society. WCTP 2024 will feature work-in-progress presentations of prominent researchers selected by members of its Program Committee who come from highly distinguished institutions in Japan and the Philippines. The presentation at the workshop will certainly provide high quality comments and discussion that future research can benefit from.
Automata Universality Computation
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Author : Andrew Adamatzky
language : en
Publisher: Springer
Release Date : 2014-11-15
Automata Universality Computation written by Andrew Adamatzky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-15 with Technology & Engineering categories.
This book is an intellectually stimulating excursion into mathematical machines and structures capable for a universal computation. World top experts in computer science and mathematics overview exciting and intriguing topics of logical theory of monoids, geometry of Gauss word, philosophy of mathematics in computer science, asynchronous and parallel P-systems, decidability in cellular automata, splicing systems, reversible Turing machines, information flows in two-way finite automata, prime generators in automaton arrays, Grossone and Turing machines, automaton models of atomic lattices. The book is full of visually attractive examples of mathematical machines, open problems and challenges for future research. Those interested in the advancement of a theory of computation, philosophy of mathematics, future and emergent computing paradigms, architectures and implementations will find the book vital for their research and development.
Reachability Problems
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Author : Giorgio Delzanno
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-19
Reachability Problems written by Giorgio Delzanno 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 2011-09-19 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Workshop on Reachability Problems, RP 2011, held in Genoa, Italy, in September 2011. The 16 papers presented together with 4 invited talks were carefully reviewed and selected from 24 submissions. The workshop deals with reachability problems that appear in algebraic structures, computational models, hybrid systems, logic, and verification. Reachability is a fundamental problem that appears in several different contexts: finite- and infinite-state concurrent systems, computational models like cellular automata and Petri nets, decision procedures for classical, modal and temporal logic, program analysis, discrete and continuous systems, time critical systems, and open systems modelled as games.
Irreducibility And Computational Equivalence
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Author : Hector Zenil
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-25
Irreducibility And Computational Equivalence written by Hector Zenil 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 2012-12-25 with Technology & Engineering categories.
It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge--from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today's widespread Wolfram's Behavioural Classification to his principles of Irreducibility and Computational Equivalence. This volume, with a Foreword by Gregory Chaitin and an Afterword by Cris Calude, covers these and other topics related to or motivated by Wolfram's seminal ideas, reporting on research undertaken in the decade following the publication of Wolfram's NKS book. Featuring 39 authors, its 23 contributions are organized into seven parts: Mechanisms in Programs & Nature Systems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The Behavior of Systems & the Notion of Computation Irreducibility & Computational Equivalence Reflections and Philosophical Implications.
Advances In Unconventional Computing
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Author : Andrew Adamatzky
language : en
Publisher: Springer
Release Date : 2016-07-18
Advances In Unconventional Computing written by Andrew Adamatzky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-18 with Technology & Engineering categories.
The unconventional computing is a niche for interdisciplinary science, cross-bred of computer science, physics, mathematics, chemistry, electronic engineering, biology, material science and nanotechnology. The aims of this book are to uncover and exploit principles and mechanisms of information processing in and functional properties of physical, chemical and living systems to develop efficient algorithms, design optimal architectures and manufacture working prototypes of future and emergent computing devices. This first volume presents theoretical foundations of the future and emergent computing paradigms and architectures. The topics covered are computability, (non-)universality and complexity of computation; physics of computation, analog and quantum computing; reversible and asynchronous devices; cellular automata and other mathematical machines; P-systems and cellular computing; infinity and spatial computation; chemical and reservoir computing. The book is the encyclopedia, the first ever complete authoritative account, of the theoretical and experimental findings in the unconventional computing written by the world leaders in the field. All chapters are self-contains, no specialist background is required to appreciate ideas, findings, constructs and designs presented. This treatise in unconventional computing appeals to readers from all walks of life, from high-school pupils to university professors, from mathematicians, computers scientists and engineers to chemists and biologists.
Discrete Mathematics And Theoretical Computer Science
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Author : Cristian S. Calude
language : en
Publisher: Springer
Release Date : 2007-03-05
Discrete Mathematics And Theoretical Computer Science written by Cristian S. Calude and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-05 with Computers categories.
The refereed proceedings of the 4th International Conference on Discrete Mathematics and Theoretical Computer Science, DMTCS 2003, held in Dijon, France, in July 2003. The 18 revised full papers presented together with 5 invited papers were carefully reviewed and selected from 35 submissions. A broad variety of topics in discrete mathematics and the theory of computing is addressed including information theory, coding, algorithms, complexity, automata, computational mathematics, combinatorial computations, graph computations, algorithmic geometry, relational methods, game-theoretic methods, combinatorial optimization, and finite state systems.
Advances In Cellular Automata
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Author : Andrew Adamatzky
language : en
Publisher: Springer Nature
Release Date : 2025-04-26
Advances In Cellular Automata written by Andrew Adamatzky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-26 with Computers categories.
This book embarks on a journey through the captivating universe of cellular automata and discover its distinct realm, characterised by discrete time, space, and states, where cells form regular patterns and offer insights into complex systems across various domains. From theoretical foundations to practical applications, each chapter unveils innovative ideas and implementations, from solving initial value problems to exploring reversible computing and real-time pattern generation. Explore hyperbolic spaces, analyse elementary automata, and delve into network growth dynamics. Shedding light on synchronisation, control, and computational structures, this book is an invaluable resource for computer scientists, modellers, mathematicians, engineers, physicists, and professionals across disciplines. Immerse yourself in the intricate complexities and boundless potential of cellular automata, whether unravelling pedestrian dynamics or exploring cryptographic applications.