Feb 22, 2013

Fibonacci Words


  1. Fibonacci word - Wikipedia, the free encyclopedia

    en.wikipedia.org/wiki/Fibonacci_word
    A Fibonacci word is a specific sequence of binary digits (or symbols from any two-letter alphabet). The Fibonacci word is formed by repeated concatenation in ...
  2. [PDF] 

    GENERATING FIBONACCI WORDS - The Fibonacci Quarterly

    File Format: PDF/Adobe Acrobat - Quick View
    GENERATING FIBONACCI WORDS. Wai-fong Cfauaii*. Department of Mathematics, Chung-Yuan Christian University,. Chung-Li, Taiwan 320, Republic of ...
  3. [PDF] 

    The Fibonacci Word fractal

    hal.archives-ouvertes.fr/.../The_Fibonacci_word_fractal.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    by A Monnerot-Dumaine - 2009 - Cited by 1 - Related articles
    Mar 13, 2009 – The Fibonacci Word Fractal. Alexis Monnerot-Dumaine∗. February 8, 2009. Abstract. The Fibonacci Word Fractal is a self-similar fractal curve ...
  4. String Rewriting and the Fibonacci Word

    Steve Whealton. String Rewriting and the Fibonacci Word. Something that my musical and my visual work have in common is maintaining a proper balance ...
  5. [1212.1368] A Generalization of the Fibonacci Word Fractal and the ...

    arxiv.org › cs
    by JL Ramírez - 2012
    Dec 6, 2012 – Abstract: In this paper we introduce a family of infinite words that generalize the Fibonacci word and we study their combinatorial properties.
  6. Images for fibonacci word

     - Report images
  7. subwords of the fibonacci word - MathOverflow

    mathoverflow.net/questions/.../subwords-of-the-fibonacci-wor...
    Apr 4, 2011 – The Fibonacci word is the limit of the sequence of words starting with "0" and satisfying rules $0 \to 01, 1 \to 0$. It's equivalent to have initial ...
  8. 6029 - ACM-ICPC Live Archive

    The Fibonacci word sequence of bit strings is defined as: F(n) = $\displaystyle \cases{0 & if $n = 0$ \cr. Here + denotes concatenation of strings. The first few ...
  9. [PS] 

    The Exact Number of Squares in Fibonacci Words - Curtin ...

    maths.curtin.edu.au/local/docs/.../SquaresinFibonacciwords.ps
    File Format: Adobe PostScript - View as HTML
    by AS Fraenkel - Cited by 29 - Related articles
    The Exact Number of Squares in Fibonacci Words. Aviezri S. Fraenkel 1. and. Jamie Simpson. 2. Abstract. All our words (sequences) are binary. A square is a ...
  10. c# - Subwords of a fibonacci word - Stack Overflow

    stackoverflow.com/questions/.../subwords-of-a-fibonacci-word
    5 answers - 24 Jan 2012
    I'm trying to understand this: http://tcs.uj.edu.pl/~walczak/fibonacci.pdf ... We can't write code for you. What have you tried ... please write code of the ...
  11. [PDF] 

    The structure of subword graphs and suffix trees of Fibonacci words

    File Format: PDF/Adobe Acrobat - Quick View
    by W Rytter - 2006 - Cited by 22 - Related articles
    The simple structure of dawgs of Fibonacci words gives in many cases simplified alternative proofs ... simple way) into the suffix tree for the next Fibonacci word.
  12. Workshop on Fibonacci Words

    The topic of the workshop belongs to combinatorics on words and combinatorial number theory related to Fibonacci numbers. The talks given by the key ...
  13. [PDF] 

    PERIODS OF FACTORS OF THE FIBONACCI WORD 1. Introduction ...

    users.utu.fi/kasaar/words07.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    by K SAARI - Cited by 1 - Related articles
    PERIODS OF FACTORS OF THE FIBONACCI WORD. KALLE SAARI. Abstract. We show that if w is a factor of the infinite Fibonacci word, then the least period of ...
  14. [PDF] 

    Some Properties of the singular words of the Fibonacci ... - CiteSeerX

    citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1...
    File Format: PDF/Adobe Acrobat - Quick View
    by ZX WEN - Cited by 48 - Related articles
    The combinatorial properties of the Fibonacci in nite word are of great interest in ...subwords of the Fibonacci word: as we shall see, the most striking of these ...
  15. The Fibonacci word tree

    math.rutgers.edu/.../fibonacci-word.../fibonacci-word-tree.htm...
    On this Math Overflow thread, John Mangual describes a construction of a tree based on the Fibonacci word, and asks, "Is there any regularity to the location of ...
  16. [PDF] 

    Workshop on Fibonacci Words - Turku Centre for Computer Science

    tucs.fi/publications/attachment.php?fname=G43.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    The workshop on Fibonacci Words was a three day meeting held in Turku 27 – 29 ...WORD EQUATIONS, FIBONACCI NUMBERS, AND HILBERT'S TENTH ...
  17. A005614 - OEIS

    oeis.org/A005614
    J. L. Ramirez, G. N. Rubiano and R. de Castro, A Generalization of the Fibonacci Word Fractal and the Fibonacci Snowflake, arXiv preprint arXiv:1212.1368, ...
  18. File:Fibonacci word fractal variants.png - Wikipedia, the free ...

    en.wikipedia.org/wiki/File:Fibonacci_word_fractal_variants.png
    File:Fibonacci word fractal variants.png. From Wikipedia, the free encyclopedia. Jump to: navigation, search. File; File history; File usage; Global file usage ...
  19. [PDF] 

    A simple representation of subwords of the Fibonacci word

    tcs.uj.edu.pl/~walczak/fibonacci.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    by B WALCZAK - 2010 - Related articles
    word f∞ by a specific concatenation of finite Fibonacci words. It is unique ...Introduction. Fibonacci words are strings over {a, b} defined inductively as follows: ...
  20. Fibonacci word - Rediff Pages

    pages.rediff.com/fibonacci-word/385552
    Fibonacci word is on Rediff pages, ,Follow Fibonacci word to get latest updates from Fibonacci word.
  21. Fibonacci word arithmetic subsequences

    lcni.uoregon.edu/.../Fibonacci/Fibonacci_word_arithmetic_sub...
    Arithmetic subsequences of Fibonacci word, F( c*n - d ) ... The Fibonacci word F(n), arithemetic subsequences (with black and white as symbols a and b) and ...
  22. Fibonacci word - Encyclopedia - The Free Dictionary

    encyclopedia2.thefreedictionary.com/Fibonacci+word
    A sequence of binary numbers that is recursively generated by the rules 0→1 (young rabbits grow old) and 1→10 (old rabbits stay old and beget young ones); ...
  23. Fibonacci word patterns in two-way infinite Fibonacci words

    by WF Chuan - 2012 - Related articles
    Jun 15, 2012 – The studies of 1-Fibonacci word patterns and 0-Fibonacci wordpatterns were initiated by Turner (1988) [18] and Chuan (1993) [2] respectively.
  24. Locating factors of the infinite Fibonacci word - ScienceDirect

    by WF Chuan - 2005 - Cited by 8 - Related articles
    Let . Let a, b be two distinct letters. The infinite Fibonacci word is the infinite wordG=babbababbabbababbababbabba⋯whose nth letter is a (resp., b) if [(n+1.
  25. [PDF] 

    Hankel determinants for the Fibonacci word and Padé approximation

    matwbn.icm.edu.pl/ksiazki/aa/aa89/aa8922.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    by T Kamae - 1999 - Cited by 5 - Related articles
    ACTA ARITHMETICA. LXXXIX.2 (1999). Hankel determinants for the Fibonacci wordand Padé approximation by. Teturo Kamae (Osaka), Jun-ichi Tamura ...
  26. [PDF] 

    Fibonacci Words - Digital Commons @ Butler University

    digitalcommons.butler.edu/cgi/viewcontent.cgi?...wordways
    File Format: PDF/Adobe Acrobat
    by A Anil - 2008
    FIBONACCI 'WORDS: "OWL, SEX GY POET!" ANIL. Perth, Australia. No, not a direct quote from Leonardo Fibonacci of Thirteenth Century Florence, just words ...
  27. File:Fibonacci word fractalX.jpg - Wikipedia, the free encyclopedia

    en.wikipedia.org/wiki/File:Fibonacci_word_fractalX.jpg
    File:Fibonacci word fractalX.jpg. From Wikipedia, the free encyclopedia. Jump to: navigation, search. File; File history; File usage; Global file usage; Metadata ...
  28. [PS] 

    A new characterization of the Fibonacci word - liafa

    File Format: Adobe PostScript - View as HTML
    A NEW CHARACTERIZATION OF THE FIBONACCI WORD. V. BERTH E, S. BRLEK, AND P. CHOQUETTE. Abstract. Using the run-length encoding , the ...
  29. Emerald | | Locating factors of the infinite Fibonacci word

    by WF Chuan - Cited by 8 - Related articles
    Locating factors of the infinite Fibonacci word. Document Information: Title: Locating factors of the infinite Fibonacci word. Author(s): Chuan W-F, (Chung-yuan ...
  30. [PS] 

    Some Properties of the singular words of the Fibonacci word

    File Format: Adobe PostScript - View as HTML
    by ZX WEN - Cited by 48 - Related articles
    The combinatorial properties of the Fibonacci infinite word are of. great interest in ...the Fibonacci word in singular words and their consequences. By using ...
  31. The Fibonacci Rabbit sequence - the Golden String

    Since the monthly bit-sequences are called (finite) Fibonacci Words, the whole infinite string of which each is at the start is called the Infinite Fibonacci Word or ...
  32. Fibonacci Word Fractal (Fibbinary Version) - YouTube

    ► 6:04► 6:04
    Aug 28, 2011 - Uploaded by lucasfibonacci1
    This is based on a paper by Alexis Monnerot-Dumaine. The "music" is generated from the same Fibonacci ...
  33. Fibonacci Word Fractals for Prime Numbers - YouTube

    ► 12:16► 12:16
    Jan 15, 2013 - Uploaded by lucasfibonacci1
    Fibonacci Word Fractals for Prime Numbers ... Ancient Knowledge Pt.2 Fibonacci Sequence, Golden ...
  34. Fibonacci Word Fractal (Tootle while you Doodle) - YouTube

    ► 7:11► 7:11
    Aug 26, 2011 - Uploaded by lucasfibonacci1
    This is based on a paper by Alexis Monnerot-Dumaine. The subtitle is a tribute to ViHart. Her most recent ...
  35. More videos for fibonacci word »
  36. [PDF] 

    Least Periods of Factors of the Fibonacci Word - CIRM

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    Outline. Introduction. A (not so) Short History of the Fibonacci word. The Result and a Proof. Recent Developments. Summary. 2 ...
  37. Student Support Forum: 'Fibonacci Word' topic

    forums.wolfram.com › ... › General  Archives
    Author, Comment/Response. Pradeep, 09/09/12 02:34am. Hi Would like to generate a binary picture based on Fibonacci word in row. For example n=5, assume ...
  38. Math::NumSeq::FibonacciWord - search.cpan.org

    search.cpan.org › Kevin Ryde  Math-NumSeq-55
    Jump to Dense Fibonacci Word‎: Option fibonacci_word_type => "dense" selects the dense Fibonacci word 1,0,2,2,1,0,2,2,1,1,0,2,1,1,... This is the above ...
  39. [PDF] 

    Factorizations of Infinite Words - Institut d'électronique et d ...

    www-igm.univ-mlv.fr/~berstel/.../2006-09-20FiboTurku.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Factorizations of Infinite Words. Jean Berstel. Institut Gaspard–Monge, Université de Marne–la–Vallée and CNRS (UMR 8049). Workshop on Fibonacci Words, ...
  40. Math::PlanePath::FibonacciWordFractal - turns by Fibonacci word ...

    https://metacpan.org/module/.../FibonacciWordFractal.pm
    Jun 7, 2012 – This is an integer version of the Fibonacci word fractal by Alexis Monnerot-Dumaine. It makes turns controlled by by the "Fibonacci word" ...
  41. File:Fibonacci word fractal svastika variant.jpg - Wikipedia, the free ...

    en.wikipedia.org/.../File:Fibonacci_word_fractal_svastika_vari...
    Description. English: The zvastika variant of the Fibonacci word fractal. Date, 2008. Source, Own work by uploader Reference. Author, Prokofiev ...
  42. Codility: ACM ICPC, Problem D "Fibonacci Words"

    blog.codility.com/.../acm-icpc-problem-d-fibonacci-words.ht...
    May 17, 2012 – Fibonacci words are strings, that are defined in a recursive way, similarly to Fibonacci numbers. \(F(0) = 0\), \(F(1) = 1\), \(F(n) = F(n-1)\cdot ...
  43. EUDML | Hankel determinants for the Fibonacci word and Padé ...

    @article{Tamura1999, author = {Tamura, Jun-Ichi, Kamae, Teturo, Wen, Zhi-Ying}, journal = {Acta Arithmetica}, keywords = {Fibonacci word; Hankel ...
  44. [PDF] 

    Equivalence of Construction Methods for Sturmian Words

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    by S READER - Related articles
    To generate doubly infinite Fibonacci words, we can repeatedly apply the ... TheFibonacci word exhibits a number of special features which in fact apply to a ...
  45. [PDF] 

    Is the Fibonacci word always optimal? - CIRM

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    Rencontre Ordre apériodique, CIRM, 10-14 septembre 2007. Is the Fibonacci wordalways optimal? Julien Cassaigne. Institut de mathématiques de Luminy ...
  46. Substitutions in Dynamics, Arithmetics and Combinatorics - Page 304 - Google Books Result

    books.google.com/books?isbn=3540441417
    N. Pytheas Fogg, Valerie Berthé - 2002 - Mathematics
    invertible substitutions will be guided by the study of the factors of the Fibonacci word. Those factors have been studied in relation with mathematics and physics ...
  47. Project Euler - Problem 230: Fibonacci Words — Jay Soo

    jaysoo.ca/2009/.../project-euler-problem-230-fibonacci-words/
    Aug 27, 2009 – I wrote a Python script to solve Problem 230 on Project Euler. You can read the problem via the link. It involves a sequence known as Fibonacci ...
  48. Business SOA: Fibonacci - word of the week

    service-architecture.blogspot.com/.../fibonacci-word-...

    by Steve Jones - in 159 Google+ circles - More by Steve Jones
    Sep 22, 2008 – Today I decided on the word Fibonacci to test out the theory again, this was placed into a call with the phrase "we are starting from 1 and with ...
  49. Properties of Fibonacci languages - ScienceDirect

    by SS Yu - 2000 - Cited by 4 - Related articles
    The Fibonacci language Fu,v is the set of all Fibonacci words, where the first word and the second word in the Fibonacci sequence are u and v, respectively. We.
  50. [PDF] 

    Avoiding sufficiently large binary patterns

    ion.uwinnipeg.ca/~nrampers/patterns.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    by N Rampersad - Related articles
    by either the Thue–Morse word or the Fibonacci word. We give a somewhat ... ing that the Fibonacci word avoids the patterns xyyxyxxy and xyyxxyyx allows for ...
  51. Browsing Department of Mathematics by Subject "Fibonacci word"

    ir.library.oregonstate.edu/xmlui/.../browse?...Fibonacci+word...
    Browsing Department of Mathematics by Subject "Fibonacci word". DSpace/Manakin Repository. ScholarsArchive at Oregon State University · Department of ...
  52. File:Tiling Fibonacci word fractal.png - Wikipedia, the free ...

    en.wikipedia.org/wiki/File:Tiling_Fibonacci_word_fractal.png
    File:Tiling Fibonacci word fractal.png. From Wikipedia, the free encyclopedia. Jump to: navigation, search. File; File history; File usage; Global file usage ...
  53. Rittaud , Vivier : Circular words and three applications: factors of the ...

    projecteuclid.org/euclid.facm/1356012916
    by B Rittaud - 2012
    As a first application, we establish a new result on factors of the Fibonacci word $abaababaabaab\ldots$. Second, we present an expression of the sequence ...
  54. DBLP: Hui-Ling Ho

    Wai-Fong Chuan, Fang-Yi Liao, Hui-Ling Ho, Fei Yu: Fibonacci word patterns in two-way infinite Fibonacci words. Theor. Comput. Sci. 437: 69-81 (2012) ...
  55. Fibonacci word check | Vault of Thoughts

    vaultofthoughts.blogspot.com/.../fibonacci-word-che...

    Jul 3, 2011 – Fibonacci word check. We define Fibonacci words as follows: Check if a given word is a Fibonacci word in linear time. I'll give it a try in Haskell.
  56. Math::PlanePath::FibonacciWordFractal - search.cpan.org

    search.cpan.org › Kevin Ryde  Math-PlanePath-98
    This is an integer version of the Fibonacci word fractal by Alexis Monnerot-Dumaine. It makes turns controlled by the "Fibonacci word" sequence, sometimes ...
  57. L-Systems and the Fibonacci word fractal - ademar@toronto

    ademar.name/blog/2009/.../lsystems-and-the-fibonacci-wor.ht...
    Jul 9, 2009 – Fibonacci word fractal. open System open System.Drawing open System.Drawing.Imaging let right = Math.PI / 2.0 let left = 3.0 * Math.PI / 2.0 ...
  58. [PDF] 

    A Burden of Wonder - Department of Computer Science - University ...

    File Format: PDF/Adobe Acrobat - Quick View
    by T Strauss - Related articles
    the value of m, is 60 [2]. Let us consider an extension of the Fibonacci sequence to strings. One can define the so-called. Fibonacci word by using strings instead ...
  59. A division property of the Fibonacci word 10.1016/0020-0190(95 ...

    by A de Luca - 1995 - Cited by 17 - Related articles
    Jun 23, 1995 – The Fibonacci word f is the limit sequence of the infinite sequence {fn}n ⩾ 0 of finite words inductively defined as: f0 = b, f1 = a, fn+1 = dnf−1, ...
  60. Fibonacci word is not periodic « fibophilia

    fibophilia.wordpress.com/.../fibonacci-word-is-not-periodic/
    Oct 29, 2011 – Fibonacci word is given as the limit of finite Fibonacci words defined by . An infinite word is called periodic if it can be written in a form for some ...
  61. Double Fibonacci Word Unit And Line Unit Palindrome Poem

    www.allvoices.com/.../9295475-double-fibonacci-word-unit-a...
    Jun 3, 2011 – ItisStar rats, Drawn onwardNo devil lived on.Blessed are they believe they are blessed.Blessed are they believe they are blessed.No devil lived ...
  62. File:Fibonacci word gaskett.png - Wikipedia, the free encyclopedia

    en.wikipedia.org/wiki/File:Fibonacci_word_gaskett.png
    English: The Fibonacci word fractal (the grey pattern, here) is contained in theFibonacci word gasket. The Fibonacci word gasket is constructed iteratively by ...
  63. Locating factors of the infinite Fibonacci word

    dl.acm.org/citation.cfm?id=1163747
    by WF Chuan - 2005 - Cited by 8 - Related articles
    Let τ = (√5 - 1)/2. Let a, b be two distinct letters. The infinite Fibonacci word is the infinite word G = babbababbabbababbababbabba... whose nth letter is a (resp.
  64. [PDF] 

    FIBONACCI WORDS Wai-fong Chuan 1. Introduction In this paper ...

    File Format: PDF/Adobe Acrobat - Quick View
    FIBONACCI WORDS. Wai-fong Chuan. Chung-Yuan Christian University, Chungli, Taiwan 32023, Republic of China. (Submitted March 1990). 1. Introduction ...
  65. Fibonacci Numbers, the Golden section and the Golden String

    The golden string is also called the Infinite Fibonacci Word or the Fibonacci Rabbit sequence. There is another way to look at Fibonacci's Rabbits problem that ...
  66. File:Fibonacci word fractal compact variant.jpg - Wikipedia, the free ...

    en.wikipedia.org/.../File:Fibonacci_word_fractal_compact_var...
    Description. English: The compact variant of the Fibonacci word fractal. Date, 2008. Source, Own work by uploader Reference. Author, Prokofiev ...
  67. File:Fibonacci word fractal diagonal variant.jpg - Wikipedia, the free ...

    en.wikipedia.org/.../File:Fibonacci_word_fractal_diagonal_var...
    Description. English: The diagonal variant of the Fibonacci word fractal. Date, 2008. Source, Own work by uploader Reference. Author, Prokofiev ...
  68. File:Fibonacci word cutting sequence.png - Wikipedia, the free ...

    en.wikipedia.org/.../File:Fibonacci_word_cutting_sequence.pn...
    File:Fibonacci word cutting sequence.png. From Wikipedia, the free encyclopedia. Jump to: navigation, search. File; File history; File usage; Global file usage ...
  69. Fibonacci word in Encyclopedia

    Characterization by a cutting sequence with a line of slope 1/\varphi or \varphi-1, with \varphi the golden ratio. A Fibonacci word is a specific sequence of binary ...
  70. Eulerian pairs on Fibonacci words

    arxiv.org › math
    by TXS Li - 2011 - Related articles
    Oct 2, 2011 – Using the inverse of $\Phi_1$ or $\Psi$ for words on $\{1, 2\}$, we obtain Eulerian pairs on Fibonacci words, where a Fibonacci word is defined ...
  71. [PDF] 

    SYMMETRIC FIBONACCI WORDS* - The Fibonacci Quarterly

    File Format: PDF/Adobe Acrobat - Quick View
    by W Oman - Related articles
    SYMMETRIC FIBONACCI WORDS*. Wai-fong Oman. Department of Mathematica, Chung-yuan Christian University, Chung Li, Taiwan 32023, Republic of China ...
  72. Branches of the Fibonacci Word Tree - MathOverflow

    mathoverflow.net/.../branches-of-the-fibonacci-word-tree
    Feb 17, 2012 – The Fibonacci word starts from $0$ subject to the rules $0 \mapsto 1, 1 \mapsto 01$ (or some variant thereof). The come from cutting ...
  73. [PDF] 

    Some Properties of the singular words of the Fibonacci ... - CiteSeerX

    citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1...
    File Format: PDF/Adobe Acrobat - Quick View
    by ZX WEN - Cited by 48 - Related articles
    The combinatorial properties of the Fibonacci infinite word are of great interest in ...subwords of the Fibonacci word: as we shall see, the most striking of these ...
  74. [PDF] 

    SUFFIXES OF FIBONACCI WORD PATTERNS Wai-Foeg Chuan ...

    File Format: PDF/Adobe Acrobat - Quick View
    by WF Chuan - Cited by 4 - Related articles
    SUFFIXES OF FIBONACCI WORD PATTERNS. Wai-Foeg Chuan, Chih-Hao Chang5 and Yen-Liang Chang. Department of Mathematics, Chung-yuan Christian ...
  75. [PDF] 

    FIBONACCI WORD PATTERNS AND BINARY SEQUENCES a= {o, i ...

    File Format: PDF/Adobe Acrobat - Quick View
    by JC TURNER - Related articles
    FIBONACCI WORD PATTERNS AND BINARY SEQUENCES. J. C. TURNER. University of Waikato, Hamilton, New Zealand. (Submitted August 1986). 1.
  76. Category:Fibonacci word fractal - Wikimedia Commons

    commons.wikipedia.org/wiki/Category:Fibonacci_word_fractal
    Category:Fibonacci word fractal. From Wikimedia Commons, the free media repository. Jump to: navigation, search. Category for the Fibonacci word fractal.
  77. User:Zataxuava/Fibonacci word fractal - Wikipedia, the free ...

    en.wikipedia.org/.../Fibonacci_word_fractal - Translate this page
    This curve is constructed iteratively by applying an odd-even drawing rule to theFibonacci words. For each letter in position k: trace a segment; if the letter is "0" ...
  78. A171587 - OEIS

    oeis.org/A171587
    Jan 11, 2013 – A171587, Sequence of the diagonal variant of the Fibonacci wordfractal. Sequence of the Fibonacci tile. 1. 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, ...
  79. [PDF] 

    Workshop on Fibonacci Words List of Participants

    www.math.utu.fi/projects/fibonacci/wfw_participants.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Workshop on Fibonacci Words. List of Participants. Jean-Paul Allouche (Orsay): allouche@lri.fr. Lubomira Balkova (Prag): l.balkova@centrum.cz. Julien Bernat ...
  80. Key Speakers

    www.math.utu.fi/projects/fibonacci/speaks.html
    15+ items – Workshop on Fibonacci Words. Turku, September 27 - 30, 2006 ...
    Jean-Paul Allouche (Orsay): Extremal properties of (epi)sturmian sequences ...
    Julien Cassaigne (Marseille): Is the Fibonacci word always optimal
  81. [PS] 

    Some Properties of the singular words of the Fibonacci ... - CiteSeerX

    citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1...
    File Format: Adobe PostScript - View as HTML
    by ZX WEN - Cited by 48 - Related articles
    The combinatorial properties of the Fibonacci in nite word are of. great interest in ...subwords of the Fibonacci word: as we shall see, the most striking of these ...
  82. [PDF] 

    arXiv:1212.1368v2 [cs.DM] 15 Jan 2013

    arxiv.org/pdf/1212.1368
    File Format: PDF/Adobe Acrobat - Quick View
    by JL Ramírez - 2012
    Jan 16, 2013 – A Generalization of the Fibonacci Word Fractal and the ... squares) from the generalized Fibonacci words and we study some of their geometric ...
  83. 6029 - Fibonacci Words - ACM-ICPC Live Archive

    The Fibonacci word sequence of bit strings is defined as: F(n) = $\displaystyle \cases{0 & if $n = 0$ \cr. Here + denotes concatenation of strings. The first few ...
  84. Fichier:Fibonacci word fractal boundary.png - Wikipédia

    fr.wikipedia.org/.../Fichier:Fibonacci_word... - Translate this page
    Fichier:Fibonacci word fractal boundary.png. Une page de Wikipédia, l'encyclopédie libre. Aller à : Navigation, rechercher. Fichier; Historique du fichier ...
  85. File:Fibonacci Fractal F22 & F21.png - Wikipedia, the free ...

    en.wikipedia.org/.../File:Fibonacci_Fractal_F22_%26_F21.png
    English: Fractal based on the "Fibonacci word" or "Rabbit sequence" (Sloane A005614). Illustrates How the fractals grows F22 + F21 = F23. Date, 28 June 2008 ...
  86. Fibonacci coding - Wikipedia, the free encyclopedia

    en.wikipedia.org/wiki/Fibonacci_coding
    In mathematics and computing, Fibonacci coding is a universal code which encodes positive integers into binary code words. It is one example of ...
  87. [1209.3927] Some extremal properties of the Fibonacci word

    arxiv.org › cs
    by A de Luca - 2012 - Related articles
    Sep 18, 2012 – Abstract: We prove that the Fibonacci word $f$ satisfies among all characteristic Sturmian words, three interesting extremal properties. The first ...
  88. On the Entropy of Random Fibonacci Words

    arxiv.org › math
    by J Nilsson - 2010 - Cited by 3 - Related articles
    Jan 20, 2010 – We show that the topological entropy of this object is given by the growth rate of the set of inflated random Fibonacci words.
  89. [1207.4233] Lyndon words and Fibonacci numbers

    arxiv.org › math
    by K Saari - 2012 - Related articles
    Jul 17, 2012 – We show that this bound is optimal in that it is attained by theFibonacci Lyndon words. We then introduce a mapping L_x that counts the ...
  90. [PDF] 

    arXiv:1207.4233v2 [math.CO] 16 Nov 2012

    arxiv.org/pdf/1207.4233
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    by K Saari - 2012 - Related articles
    Nov 16, 2012 – only if Lx ≥ Lf , where f is the Fibonacci infinite word, with equality if ...Keywords: Lyndon word, Fibonacci word, Central word, Golden ratio, ...
  91. [PDF] 

    The number of runs in Sturmian words - mimuw

    duch.mimuw.edu.pl/~rytter/MYPAPERS/ciaa_proc.pdf
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    by P Baturo - Cited by 18 - Related articles
    highly compressible words extensively studied in combinatorics of words, includ- ing the well known Fibonacci words. The suffix automata for these words have ...
  92. [PDF] 

    The Number of Runs in Sturmian Words

    File Format: PDF/Adobe Acrobat - Quick View
    by P Baturo - Cited by 18 - Related articles
    The standard words are a generalization of Fibonacci words and, like Fibonacci ... For example the recurrence for the 4-th Fibonacci word is: fib−1 = b, fib0 = a, ...
  93. [PDF] 

    Hankel determinants for the Fibonacci word and Pad e ...

    www14.plala.or.jp/kamae/hankel.pdf
    File Format: PDF/Adobe Acrobat - Quick View
    Hankel determinants for the Fibonacci word and Pad e approximation. Acta Arithmetica LXXXIX.2 (1999), pp.123-161. Teturo KAMAE Jun-ichi ...
  94. "Fibonacci Words: "Howl, Sex Orgy Poet!"" by A. Anil

    digitalcommons.butler.edu › ... › Vol. 41  Iss. 3 (2008)
    by A Anil - 2008
    No, not a direct quote from Leonardo Fibonacci of Thirteenth Century Florence, justwords based on translating his famous number sequence into letters, with ...
  95. Fibonacci Words ACM ICPC 2012 Problem - Java | Dream.In.Code

    Oct 1, 2012 – Hi. I am new on this forum. I joined because I am preparing for a programming contest, and I tried to solve the fibonacci words ACM ICPC 2012 ...
  96. File:Fibonacci fractal F21 & F20.png - Wikipedia, the free encyclopedia

    en.wikipedia.org/.../File:Fibonacci_fractal_F21_%26_F20.png
    English: Fractal based on the "Fibonacci word" or "Rabbit sequence" (Sloane A005614). Illustrates How the fractals grows F21 + F20 = F22. Date, 28 June 2008 ...
  97. Fichier:IFS Fibonacci Word Fractal.png - Wikipédia

    fr.wikipedia.org/.../Fichier:IFS_Fibonacci_... - Translate this page
    Fichier:IFS Fibonacci Word Fractal.png. Une page de Wikipédia, l'encyclopédie libre. Aller à : Navigation, rechercher. Fichier; Historique du fichier; Utilisation du ...
  98. Scratch | Project | Fibonacci word F11

    scratch.mit.edu/projects/icampeao/1318099
    Fibonacci word F11. You need Adobe Flash to play this. Loading project... If project does not load after a few moments, make sure you have Adobe Flash ...
  99. [PDF] 

    Problem D - ACM-ICPC Live Archive

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    The Fibonacci word sequence of bit strings is defined as: F(n) = . . . 0 if n = 0. 1 if n = 1. F(n − 1) + F(n − 2) if n ≥ 2. Here + denotes concatenation of strings.
  100. [PDF] 

    0Inparing thiS

    apollonius.math.nthu.edu.tw/.../the_exact_number_of_squares...
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    by AS Fraenkel - 1998 - Cited by 29 - Related articles
    binary WOrd of length 刃 Can haVe' iS larger than that found in FibonacCi VVOrdS; ...vVe uSe SeVeTal lemmaS to eStabliSh The0rem l_ The Fibonacci WOrdS ...
  101. algorithm - Fibonacci string array revised - Stack Overflow

    stackoverflow.com/questions/.../fibonacci-string-array-revised
    5 answers - 20 Mar 2011
    +1: The problem gives the reverse of Fibonacci words. Can prove using induction... – Aryabhatta Mar 26 '11 at 5:10 ...
  102. [PDF] 

    Optimality of some algorithms to detect maximal quasiperiodicities

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    by R Groult - Related articles
    optimal? 2 Maximal quasiperiodicities of the Fibonacci words. As said in [3], “Fibonacci strings turn out to constitute worst cases for a number of computer ...