3 edition of **Dynamical systems, automata, and infinite groups** found in the catalog.

Dynamical systems, automata, and infinite groups

- 292 Want to read
- 18 Currently reading

Published
**2000**
by Nauka "Hauka/Interperiodica" Publishing in Moscow
.

Written in English

- Differentiable dynamical systems,
- Machine theory,
- Infinite groups

**Edition Notes**

Statement | Evgenii F. Mishchenko, executive editor-in-chief. |

Series | Proceedings of the Steklov Institute of Mathematics -- no. 231., Trudy Matematicheskogo instituta imeni V.A. Steklova -- no. 231. |

Contributions | Mishchenko, E. F. |

The Physical Object | |
---|---|

Pagination | 350 p. : |

Number of Pages | 350 |

ID Numbers | |

Open Library | OL17598623M |

OCLC/WorldCa | 46420665 |

This includes the theory of formal languages, groups generated by finite automata, and automatic groups. DYNAMICS Connections between group theory and dynamical systems (in particular the link between fractal groups and holomorphic dynamics, and between branch groups and substitutional dynamical systems). •Thurston [48] interweaves groups, tilings, dynamical systems, and ﬁnite automata; Grigorchuk et al [14] actually build groups from automata. •Pin [37] develops the algebraic theory of recognisable languages within ﬁnite semigroup theory. This course is based around two main theorems: Kleene’s Theorem,~markl/teaching/AUTOMATA/

THE GARDEN OF EDEN THEOREM: OLD AND NEW TULLIO CECCHERINI-SILBERSTEIN AND MICHEL COORNAERT Abstract. We review topics in the theory of cellular automata and dynamical systems that are related to the Moore-Myhill Garden of Eden theorem. Contents 1. Introduction 2 2. Conﬁguration spaces and shifts 3 Notation 3 Conﬁgurations spaces 4 This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus ://

Online base book. Active Networks: IFIP TC6 6th International Working Conference, IWAN , Lawrence, KS, USA, October , , Revised Papers (Lecture Notes in Computer This book is the first systematic presentation of the theory of random dynamical systems, i.e. of dynamical systems under the influence of some kind of randomness. The theory comprises products of random mappings as well as random and stochastic differential ://

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Additional Physical Format: Online version: Dynamical systems, automata, and infinite groups. Moscow: Nauka "Hauka/Interperiodica" Pub., (OCoLC) This article is cited in scientific papers (total in papers) Automata, Dynamical Systems, and Groups R.

Grigorchuk, V. Nekrashevych, V. Sushchanskii Abstract: This paper is devoted to the groups of finite automata and their applications in algebra, dynamical systems, and geometry. The groups of synchronous automata as well as the groups of asynchronous automata are ?wshow=paper&jrnid=tm&paperid=&option_lang=eng.

Automata in Groups and Dynamics and Induced Systems of PDE in Tropical Geometry Article in Journal of Geometric Analysis 24(2) August with 19 Reads How we measure 'reads' The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory.

Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and Dynamical Systems is a collection of papers that deals with the generic theory of dynamical systems, in which structural stability becomes associated with a generic property.

Some papers describe structural stability in terms of mappings of one manifold into another, as well as their :// Dynamical systems Cellular automata and groups.

Ceccherini-Silberstein and M. Coornaert. Springer, Link. Guillaume referred to this book in his talk, notably for concepts such as entropy, surjunctivity, and amenability. Ideas. We need a place to put idiot ideas!,_symbolic. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix.

Several examples and illustrations help readers understand and visualize the concepts introduced throughout the :// of dynamical systems such as attractors and periodicity over discrete time intervals, also occur in cellular automata, and thus it is worthwhile to have a working knowledge of the former.

Indeed, cellular automata are dynamical systems in which space This book contains the courses given at the Fifth School on Complex Systems held at Santiago, Chile, from 13th December At this school met researchers working on areas related with recent trends in Complex Systems, which include dynamical systems, cellular automata, symbolic dynamics, spatial systems, statistical physics and thermodynamics.

Scientists working in these subjects Topics include numeration systems, word complexity function, morphic words, Rauzy tilings and substitutive dynamical systems, Bratelli diagrams, frequencies and ergodicity, Diophantine approximation and transcendence, asymptotic properties of digital functions, decidability issues for D0L systems, matrix products and joint spectral :// The second of two volumes on this subject, this book covers regular languages, numeration systems, formal methods applied to decidability issues about infinite words and sets of numbers.

Reviews "This book follows [Formal languages, automata and numeration :// Cellular Automata and Groups; role in the theory of cellular automata as dynamical systems. As a technical tool of possible independent interest, the proof involves the construction of tiered Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group.

This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research e-books in Dynamical Systems Theory category Random Differential Equations in Scientific Computing by Tobias Neckel, Florian Rupp - De Gruyter Open, This book is a self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of ://?category= Iterated monodromy groups of limit dynamical systems Length structures and expanding maps Limit spaces of iterated monodromy groups Iterated monodromy group of a pull-back The limit solenoid and inverse limits of self-coverings Chapter 6.

Examples and Applications We identify several simple but powerful concepts, techniques, and results; and we use them to characterize the complexities of a number of basic problems II, that arise in the analysis and verification of the following models M of communicating automata and discrete dynamical systems: systems of communicating automata including both finite and As special cases of deep pushdown automata, we discuss finitely expandable deep pushdown automata that always contain a bounded number of non-input symbols in their pushdown stores.

Based on these automata, it establishes an infinite hierarchy of language families that coincides with the hierarchy resulting from matrix grammars of finite :// Chapter 3 moves on to the characterization of the asymptotic behavior of smooth dynamical systems.

This is done with a detailed introduction to the zeta-function and topological entropy. In symbolic dynamics, the topological entropy is known to be uncomputable for some dynamical systems (such as cellular automata), but this is not discussed › Books › Science & Math › Mathematics.

The limit sets of cellular automata, defined by Wolfram, play an important role in applications of cellular automata to complex systems. A number of results on limit sets are proved, considering both finite and infinite configurations of cellular :// This book contains the courses given at the Fifth School on Complex Systems held at Santiago, Chile, from 13th December At this school met researchers working on areas related with recent trends in Complex Systems, which include dynamical systems, cellular automata, symbolic dynamics, spatial systems, statistical physics and › Physics › Complexity.

This chapter focuses on the small noise ergodic dynamical systems. It presents some recent results in small noise problems in the ergodic case and some possible implications for small noise ergodic control problems.

It also presents an assumption in which Y 0 (x) is the optimal feedback control in the infinite-time deterministic control :// Abstract: We study the action of groups generated by bounded activity automata with infinite alphabets on their orbital Schreier graphs.

We introduce an amenability criterion for such groups based on the recurrence of the first level action. This criterion is a natural extension of the result that all groups generated by bounded activity automata with finite alphabets are ://Sequential Dynamical Systems (SDS) are a class of discrete dynamical systems which significantly generalize many aspects of systems such as cellular automata, and provide a framework for studying dynamical processes over graphs.

This text is the first to provide a comprehensive introduction › Mathematics › Analysis.