Combinatorial Patterns for Maps of the Interval
Combinatorial Patterns for Maps of the Interval

Author: Michał Misiurewicz

Publisher: American Mathematical Soc.

Published: 1991

Total Pages: 122

ISBN-13: 0821825135

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This extensive paper is concerned with the implications of the existence of a given finite invariant set in a continuous map of an interval. Reductions of patterns are introduced, a combinatorial shadowing theorem is proved, the relations between positive and negative representatives of a given cycle is elucidated, and maximal patterns and permutations of a given degree are characterized.

Combinatorial Dynamics And Entropy In Dimension One (2nd Edition)
Combinatorial Dynamics And Entropy In Dimension One (2nd Edition)

Author: Luis Alseda

Publisher: World Scientific Publishing Company

Published: 2000-10-31

Total Pages: 433

ISBN-13: 9813105593

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This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of “chaos” present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.

Combinatorial Pattern Matching
Combinatorial Pattern Matching

Author: Amihood Amir

Publisher: Springer

Published: 2010-06-26

Total Pages: 374

ISBN-13: 3642135099

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This book constitutes the refereed proceedings of the 21st Annual Symposium on Combinatorial Pattern Matching, CPM 2010, held in New York, USA, in June 2010. The 28 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 53 submissions. The papers address all areas related to combinatorial pattern matching and its applications, such as searching and matching strings and more complicated patterns such as trees, regular expressions, graphs, point sets, and arrays with special focus on coding and data compression, computational biology, data mining, information retrieval, natural language processing, pattern recognition, string algorithms, string processing in databases, symbolic computing and text searching.

Combinatorial Pattern Matching
Combinatorial Pattern Matching

Author: Suleyman C. Sahinalp

Publisher: Springer Science & Business Media

Published: 2004-06-22

Total Pages: 496

ISBN-13: 354022341X

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This book constitutes the refereed proceedings of the 15th Annual Symposium on Combinatorial Pattern Matching, CPM 2004, held in Istanbul, Turkey in July 2004. The 36 revised full papers presented were carefully reviewed and selected from 79 submissions. The papers are devoted to current theoretical and computational aspects of searching and matching of strings and more complicate patterns, such as trees, regular expressions, graphs, point sets, and arrays. Among the application fields addressed are computational biology, bioinformatics, genomics, proteinomics, the web, data compression, coding, multimedia, information retrieval, data analysis, pattern recognition, and computer vision.

Degree Theory for Equivariant Maps, the General $S^1$-Action
Degree Theory for Equivariant Maps, the General $S^1$-Action

Author: Jorge Ize

Publisher: American Mathematical Soc.

Published: 1992

Total Pages: 194

ISBN-13: 0821825429

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In this paper, we consider general [italic]S1-actions, which may differ on the domain and on the range, with isotropy subspaces with one dimension more on the domain. In the special case of self-maps the [italic]S1-degree is given by the usual degree of the invariant part, while for one parameter [italic]S1-maps one has an integer for each isotropy subgroup different from [italic]S1. In particular we recover all the [italic]S1-degrees introduced in special cases by other authors and we are also able to interpret period doubling results on the basis of our [italic]S1-degree. The applications concern essentially periodic solutions of ordinary differential equations.

Combinatorial Pattern Matching
Combinatorial Pattern Matching

Author: Alberto Apostolico

Publisher: Springer

Published: 2003-08-02

Total Pages: 298

ISBN-13: 3540454527

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The papers contained in this volume were presented at the 13th Annual S- posium on Combinatorial Pattern Matching, held July 3–5, 2002 at the Hotel Uminonakamichi, in Fukuoka, Japan. They were selected from 37 abstracts s- mitted in response to the call for papers. In addition, there were invited lectures by Shinichi Morishita (University of Tokyo) and Hiroki Arimura (Kyushu U- versity). Combinatorial Pattern Matching (CPM) addresses issues of searching and matching strings and more complicated patterns such as trees, regular expr- sions, graphs, point sets, and arrays, in various formats. The goal is to derive n- trivial combinatorial properties of such structures and to exploit these properties in order to achieve superior performance for the corresponding computational problems. On the other hand, an important goal is to analyze and pinpoint the properties and conditions under which searches cannot be performed e?ciently. Over the past decade a steady ?ow of high-quality research on this subject has changed a sparse set of isolated results into a full-?edged area of algorithmics. This area is continuing to grow even further due to the increasing demand for speed and e?ciency that stems from important applications such as the World Wide Web, computational biology, computer vision, and multimedia systems. These involve requirements for information retrieval in heterogeneous databases, data compression, and pattern recognition. The objective of the annual CPM gathering is to provide an international forum for research in combinatorial p- tern matching and related applications.

Combinatorial Pattern Matching
Combinatorial Pattern Matching

Author: Moshe Lewenstein

Publisher: Springer

Published: 2006-07-01

Total Pages: 425

ISBN-13: 3540354611

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This book constitutes the refereed proceedings of the 17th Annual Symposium on Combinatorial Pattern Matching, CPM 2006, held in Barcelona, Spain, July 2006. The book presents 33 revised full papers together with 3 invited talks, organized in topical sections on data structures, indexing data structures, probabilistic and algebraic techniques, applications in molecular biology, string matching, data compression, and dynamic programming.

Combinatorial Pattern Matching
Combinatorial Pattern Matching

Author: Gregory Kucherov

Publisher: Springer Science & Business Media

Published: 2009-06-08

Total Pages: 381

ISBN-13: 3642024408

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This book constitutes the refereed proceedings of the 20th Annual Symposium on Combinatorial Pattern Matching, CPM 2009, held in Lille, France in June 2009. The 27 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 63 submissions. The papers address all areas related to combinatorial pattern matching and its applications, such as coding and data compression, computational biology, data mining, information retrieval, natural language processing, pattern recognition, string algorithms, string processing in databases, symbolic computing and text searching.