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Combinatorial Patterns for Maps of the Interval

Combinatorial Patterns for Maps of the Interval
Author: Michał Misiurewicz
Publisher: American Mathematical Soc.
Total Pages: 122
Release: 1991
Genre: Mathematics
ISBN: 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
Total Pages: 433
Release: 2000-10-31
Genre: Science
ISBN: 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
Total Pages: 374
Release: 2010-06-26
Genre: Computers
ISBN: 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
Total Pages: 496
Release: 2004-06-22
Genre: Computers
ISBN: 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.
Total Pages: 194
Release: 1992
Genre: Mathematics
ISBN: 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: Moshe Lewenstein
Publisher: Springer
Total Pages: 425
Release: 2006-07-01
Genre: Computers
ISBN: 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
Total Pages: 381
Release: 2009-06-08
Genre: Computers
ISBN: 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.


Combinatorial Pattern Matching

Combinatorial Pattern Matching
Author: Alberto Apostolico
Publisher: Springer Science & Business Media
Total Pages: 292
Release: 1997-06-18
Genre: Computers
ISBN: 9783540632207

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This book constitutes the refereed proceedings of the Eighth Annual Symposium on Combinatorial Pattern Matching, CPM 97, held in Aarhus, Denmark, in June/July 1997. The volume presents 20 revised full papers carefully selected from 32 submissions received; also included are abstracts of two invited contributions. The volume is devoted to the issue of searching and matching strings and more complicated patterns, such as trees, regular expressions, graphs, point sets and arrays. The results presented are particularly relevant to molecular biology, but also to information retrieval, pattern recognition, compiling, data compression and program analysis.