9 research outputs found
Counting Ordered Patterns in Words Generated by Morphisms
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2008
- Field of study
SOME COMBINATORIAL PROPERTIES OF ARSHON SEQUENCES OF ARBITRARY ORDERS
- Publication venue
- 'World Scientific Pub Co Pte Lt'
- Publication date
- Field of study
On periodically iterated morphisms
- Publication venue
- 'Association for Computing Machinery (ACM)'
- Publication date
- Field of study
Crack development in plane under the action of compressive load
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Quasi-stationary thermal regime arising during periodic pulsed heating
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
A variant of the three-ball theorem for the solution of elliptic equations and a related theorem of Phragmen-Lindelof type
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
The ubiquitous Prouhet-Thue-Morse sequence
- Author
- A Adler
- A Cobham
- A Restivo
- A Rényi
- B Mathan de
- CE Arshon
- CR Prouhet
- D Robbins
- DH Lehmer
- DR Woods
- E Artin
- F Axel
- F Axel
- FM Dekking
- G Christol
- G Christol
- GA Hedlund
- H Fredricksen
- J Berstel
- J Berstel
- J Berstel
- J Shallit
- J Tromp
- J-i Tamura
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-P Allouche
- J-Y Yao
- JA Brzozowski
- JB Roberts
- JC Martin
- JC Martin
- L Carlitz
- L Jonker
- M Boffa
- M Cosnard
- M Dekking
- M Euwe
- M Keane
- M Lothaire
- M Morse
- M Morse
- M Morse
- M Morse
- M. Boffa and F. Point Identités de Thue-Morse dans les groupes
- O Salon
- P Borwein
- P Collet
- P Flajolet
- P Séébold
- PS Novikov
- R Nürnberg
- S Dubuc
- SI Adian
- V Komornik
- W Parry
- WM Schmidt
- Publication venue
- Publication date
- 01/01/1999
- Field of study
We discuss a well-known binary sequence called the ThueMorse sequence, or the Prouhet-Thue-Morse sequence. This sequence was introduced by Thue in 1906 and rediscovered by Morse in 1921. However, it was already implicit in an 1851 paper of Prouhet. The Prouhet-Thue-Morse sequence appears to be somewhat ubiquitous, and we describe many of its apparently unrelated occurrences
Sequences of Integers
- Author
- A Cayley
- A Cayley
- A Cayley
- A Restivo
- A Thue
- A Thue
- A. Khalfalah
- A. W. Hales
- AM Odlyzko
- Andrew Granville
- AS Besicovitch
- AY Khinchin
- B. Fein
- BL Waerden
- C David
- C Pomerance
- CH Braunholtz
- Christian Mauduit
- D Marcus
- D. P. Roselle
- D. P. Roselle
- DA Bean
- David Boyd
- David Gale
- Don Coppersmith
- DR Hofstadter
- E Prouhet
- E. R. Berlekamp
- E. R. Berlekamp
- E. Szemerédi
- EG Szekeres
- ER Berlekamp
- ER Berlekamp
- ES Selmer
- F Everts
- F Mignosi
- F. Dejean
- F. J. MacWilliams
- F. Vsevolod
- FJ Brandenburg
- G. A. Hedlund
- G. Hajôs
- G. J. Simmons
- G. Mills
- G. Venturini
- G. Venturini
- GE Andrews
- Guo-Gang Gao
- H Halberstam
- H Ostmann
- H. Davenport
- H. Fredricksen
- H. Furstenberg
- H. G. Grundman
- H. J. Shyr
- H. L. Abbott
- H. L. Abbott
- H. L. Abbott
- H. L. Abbott Si
- HL Abbott
- I Krasikov
- I Schur
- I. Korec
- I. Krasikov
- J Berstel
- J O’Sullivan
- J Shallit
- J Shallit
- J. A. Davis
- J. A. Davis
- J. Baumgartner
- J. Justin
- J. Karhumäki
- J. Kom16s
- J. L. Rouet
- J. Neil
- J. Neil
- J. Riddell
- J. W. Sander
- J.-J. Pansiot
- Jia-Yan Yao
- JL Davidson
- John Leech
- Joseph Gerver
- JP Dumont
- JR Kuttler
- JS Madachy
- K. Mahler
- K. R. Matthews
- K. R. Matthews
- K. Wiertelak
- KA Baker
- L Harvey
- L Hervé
- L Jeff
- L Moser
- L Moser
- L Moser
- L Sallows
- L. Mirsky
- LD Baumert
- LE Dickson
- Lorenz Halbeisen and Norbert Hungerbühler
- Lothar Berg and Günter
- M Beeler
- M Irene
- M Somos
- M. A. Zaks
- M. Crochemore
- M. G. Main
- M. Sharir
- Marston Morse
- MG Main
- MG Main
- MG Main
- N. J. A. Sloane
- Neil Hindman
- NJA Sloane
- O Tom
- P Erdbs
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Erdös
- P Komjâth
- P. Erdös
- P. Erdös
- P. Erdös
- P. Erdös
- P. K. Agarwal
- PJ Cameron
- Péter Kiss and Béla
- R John
- R Rado
- R Steven
- R Tijdeman
- R. C. Mullin
- R. Cori
- R. E. Crandall
- R. J. Simpson
- R. L. Graham
- R. O. Shelton
- R. S. Stevens
- R. Salem
- R. Salem
- R. W. Irving
- RB Crittenden
- RBJT Allenby
- RK Guy
- RL Graham
- RL Graham
- S Adolf
- S Arshon
- S Beatty
- S Ernst
- S. Golomb
- S. Hart
- S. L. G. Choi
- S. Shelah
- S. Znâm
- T Muir
- T Muir
- T. C. Brown
- Tal Kubo
- Tomas Oliviera e Silva
- V. Bronstein
- W Jia-Bang
- W Solomon
- W Solomon
- W-X Qiu
- W. Deuber
- W. Forman
- WA Beyer
- WD Wallis
- WT Gowers
- Xing-De Jia
- Y. Bilu
- Y. Kobayashi
- Y.-F. S. Pétermann
- Yao-Chen Zhu
- Zachary Franco
- Zhen-Xiang Zhang
- Zhen-Xiang Zhang
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2004
- Field of study
Sequences of Integers
- Author
- A Beutelspacher
- A Cayley
- A Cayley
- A Cayley
- A Cayley
- A Majid Mian
- A Steen
- A Stöhr
- AA Evdokimov
- AA Evdokimov
- AH Rhemtulla
- AJ Dobson
- AK Chandra
- AS Besicovitch
- AW Hales
- AY Khinchin
- BC Rennie
- BL Waerden van der
- BL Waerden van der
- BM Landman
- C Pomerance
- C Pomerance
- CH Braunholtz
- CJ Everett
- CL Mallows
- D Applegate
- D Boyd
- D Gale
- D Gale
- D Gardy
- D Hawkins
- D Marcus
- D Newman
- DA Klarner
- DA Klarner
- DA Klarner
- DA Rawsthorne
- DC Kay
- DP Roselle
- DP Roselle
- DR Hofstadter
- E Heppner
- E Levine
- E Levine
- E Szemerédi
- E Szemerédi
- E Szemerédi
- E Witt
- EG Whitehead
- ER Berlekamp
- ER Berlekamp
- ER Berlekamp
- ER Berlekamp
- ES Selmer
- Esther
- FA Behrend
- FM Dekking
- FM Dekking
- G Hajós
- G Venturini
- G Venturini
- GA Hedlund
- GA Hedlund
- GE Andrews
- GJ Simmons
- H Davenport
- H Davenport
- H Fredricksen
- H Fredricksen
- H Furstenberg
- H Ibstedt
- H Maier
- H Möller
- H Müller
- H Ostmann
- H Prodinger
- H Salié
- HE Dudeney
- HE Robbins
- HL Abbott
- HL Abbott
- HL Abbott
- HL Abbott
- HL Abbott
- HL Abbott
- HL Abbott
- HL Abbott
- I Korec
- I Krasikov
- I Ruzsa
- I Schur
- I Vardi
- J Baumgartner
- J Browkin
- J Cilleruelo
- J Gerver
- J Justin
- J Justin
- J Komlós
- J Lambek
- J Leech
- J Propp
- J Riddell
- J Riddell
- J Shallit
- JA Davis
- JA Davis
- JC Lagarias
- JC Lagarias
- JC Lagarias
- JC Lagarias
- JC Lagarias
- JL Davidson
- JL Gerver
- JL Malouf
- JP Thouvenot
- JR Rabung
- JR Rabung
- JS Madachy
- JW Sander
- K Mahler
- KF Roth
- KF Roth
- KF Roth
- KF Roth
- KR Matthews
- KR Matthews
- L Mirsky
- L Moser
- L Moser
- L Moser
- L Moser
- L Moser
- LD Baumert
- LE Dickson
- LE Garner
- LE Garner
- M Boshernitzan
- M Boshernitzan
- M Hall
- M Kac
- M Morse
- M Morse
- M Sharir
- M Sharir
- M Somos
- M Yamada
- MD Beeler
- N Alon
- N Hindman
- N Hindman
- N Hindman
- NJA Sloane
- P Alles
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Erdős
- P Filipponi
- P Kiss
- P Komjáth
- PA MacMahon
- PAB Pleasants
- PJ Downey
- PK Agarwal
- R Balasubramanian
- R Rado
- R Rado
- R Salem
- R Salem
- R Terras
- R Tijdeman
- RA Dean
- RA Rankin
- RB Crittenden
- RB Crittenden
- RC Entringer
- RC Mullin
- RE Crandall
- RG Stanton
- RL Graham
- RL Graham
- RL Graham
- RL Graham
- RL Graham
- RL Graham
- RL Graham
- RL Graham
- RM Robinson
- RP Steiner
- RS Stevens
- RW Irving
- S Arshon
- S Beatty
- S Eliahou
- S Hart
- S Shelah
- S Wagon
- SLG Choi
- SLG Choi
- SM Tanny
- SR Finch
- T Muir
- T Muir
- T Odda
- TC Brown
- TC Brown
- TC Brown
- V Chvátal
- W Deuber
- WF Lunnon
- WH Mills
- WM Schmidt
- Z Füredi
- Z István Szabó
- Z Zhen-Xiang
- Z Zhen-Xiang
- Z Zhen-Xiang
- Z Zhen-Xiang
- Znám
- Znám
- Znárn
- Š Porubský
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/1994
- Field of study