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Allouche, Jean-Paul Simon

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Author ID: allouche.jean-paul Recent zbMATH articles by "Allouche, Jean-Paul Simon"
Published as: Allouche, Jean-Paul; Allouche, J.-P.; Allouche, J. P.
Homepage: https://webusers.imj-prg.fr/~jean-paul.allouche/
External Links: IdRef · MGP · theses.fr · Wikidata · dblp · GND
Member of Collective: Lothaire, M.
Documents Indexed: 165 Publications since 1977, including 2 Books
Reviewing Activity: 406 Reviews
Biographic References: 1 Publication
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Co-Authors

63 single-authored
29 Shallit, Jeffrey O.
17 Mendès France, Michel
10 Skordev, Gencho S.
5 Cosnard, Michel Y.
4 Peitgen, Heinz-Otto
4 Peyrière, Jacques
3 Bousquet-Mélou, Mireille
3 Reder, Christine
3 Sondow, Jonathan D.
3 van der Poorten, Alfred J.
3 Wen, Zhixiong
2 Cateland, E.
2 Cohen, Henri
2 Dales, H. Garth
2 Deshouillers, Jean-Marc
2 Frougny, Christiane
2 Glen, Amy
2 Han, Guo-Niu
2 Maillard-Teyssier, Laurence
2 Rampersad, Narad
2 von Haeseler, Fritz
2 Zamboni, Luca Quardo
1 Adamczewski, Boris
1 Allombert, Bill
1 Allouche, Gabrielle
1 Arnold, André
1 Axel, Françoise
1 Baake, Michael
1 Bacher, Roland
1 Baruchel, Thomas
1 Berstel, Jean
1 Berthé, Valérie
1 Bétréma, Jean
1 Brezzi, Franco
1 Brlek, Srečko
1 Cassaigne, Julien
1 Cloitre, Benoit
1 Courbage, Maurice
1 Currie, James D.
1 Damanik, David
1 Daudé, Hervé
1 Davison, J. Leslie
1 Dekking, Frederik Michel
1 Denise, Alain
1 Dress, François
1 Erdélyi, Tamás
1 Flajolet, Philippe
1 Gentili, Graziano
1 Gilbert, William J.
1 Goldmakher, Leo
1 Gologan, Radu-Nicolae
1 Gouyou-Beauchamps, Dominique
1 Greuel, Gert-Martin
1 Hajnal, Péter
1 Hare, Kevin G.
1 Jacob, Christine
1 Jensen, Arne
1 Jockusch, William
1 Johnson, Tom
1 Kamae, Teturo
1 Kléman, Maurice
1 Koyanagi, Tadahiro
1 Krichever, Igor’ Moiseevich
1 Laborde, Marc
1 Liardet, Pierre
1 Lubiw, Anna
1 Morton, Patrick
1 Niederreiter, Harald
1 Odlyzko, Andrew M.
1 Peters, Klaus-Heinrich
1 Pisanski, Tomaž
1 Plouffe, Simon
1 Queffelec, Martine
1 Quirós Gracián, Adolfo
1 Rande, Bernard
1 Riasat, Samin
1 Saffari, Bahman
1 Sagan, Bruce Eli
1 Salon, Olivier
1 Sapir, Amir
1 Scheicher, Klaus
1 Shaposhnikova, Tatiana A.
1 Sidorov, Nikita A.
1 Tenenbaum, Gérald
1 Thakur, Dinesh S.
1 Thimonier, Loÿs
1 Tichy, Robert Franz
1 Wen, Zhi-Ying
1 Werner, Dirk
1 Wu, Wen
1 Zhang, Jiemeng
all top 5

Serials

12 Theoretical Computer Science
12 European Mathematical Society Newsletter
9 Journal of Number Theory
6 Acta Arithmetica
5 Gazette des Mathématiciens
5 Integers
4 Discrete Mathematics
4 Journal de Théorie des Nombres de Bordeaux
3 Annales de l’Institut Fourier
3 Bulletin de la Société Mathématique de France
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Bulletin of the Belgian Mathematical Society - Simon Stevin
3 The Ramanujan Journal
3 Publications Mathématiques d’Orsay
2 American Mathematical Monthly
2 Discrete Applied Mathematics
2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Aequationes Mathematicae
2 L’Enseignement Mathématique. 2e Série
2 RAIRO. Informatique Théorique et Applications
2 Fractals
2 The Electronic Journal of Combinatorics
2 Journal of Mathematics and Music
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematics of Computation
1 Annales des Sciences Mathématiques du Québec
1 Bulletin of the London Mathematical Society
1 Commentationes Mathematicae Universitatis Carolinae
1 The Fibonacci Quarterly
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Slovaca
1 Mathematika
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Revista de Matemáticas Aplicadas
1 SIAM Journal on Discrete Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série II
1 Expositiones Mathematicae
1 Finite Fields and their Applications
1 Séminaire Lotharingien de Combinatoire
1 Theory of Computing Systems
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 RAIRO. Theoretical Informatics and Applications
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Journal of the Australian Mathematical Society
1 Cubo Matemática Educacional
1 Mathématiques et Sciences Humaines. Mathematics and Social Sciences
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 RIMS Kôkyûroku Bessatsu
1 Uniform Distribution Theory
1 Ars Mathematica Contemporanea
1 Moscow Journal of Combinatorics and Number Theory
1 Journal de Physique
1 Séminaire de Théorie des Nombres

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 1,519 times in 958 Documents Cited by Year
Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015
Allouche, Jean-Paul; Shallit, Jeffrey
472
2003
The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005
Allouche, Jean-Paul; Shallit, Jeffrey
107
1999
The ring of \(k\)-regular sequences. Zbl 0774.68072
Allouche, Jean-Paul; Shallit, Jeffrey
100
1992
Palindrome complexity. Zbl 1064.68074
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David
53
2003
Finite automata in number theory. (Automates finis en théorie des nombres.) Zbl 0641.10041
Allouche, Jean-Paul
43
1987
On the complexity of infinite sequences. (Sur la complexité des suites infinies.) Zbl 0803.68094
Allouche, Jean-Paul
37
1994
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
37
2001
The ring of \(k\)-regular sequences. II. Zbl 1058.68066
Allouche, Jean-Paul; Shallit, Jeffrey
35
2003
Hankel determinants of the Thue-Morse sequence. Zbl 0974.11010
Allouche, Jean-Paul; Peyrière, Jacques; Wen, Zhi-Xiong; Wen, Zhi-Ying
22
1998
Automata and automatic sequences. Zbl 0881.11026
Allouche, Jean-Paul; Mendès France, M.
20
1995
Generalized Rudin-Shapiro sequences. Zbl 0763.11010
Allouche, Jean-Paul; Liardet, Pierre
19
1991
Linear cellular automata, finite automata and Pascal’s triangle. Zbl 0854.68065
Allouche, Jean-Paul; von Haeseler, Fritz; Peitgen, Heinz-Otto; Skordev, Gencho
19
1996
Dirichlet series and curious infinite products. Zbl 0577.10036
Allouche, Jean-Paul; Cohen, Henri
19
1985
The number of factors in paperfolding sequence. Zbl 0753.11011
Allouche, Jean-Paul
17
1992
The Komornik-Loreti constant is transcendental. Zbl 0997.11052
Allouche, Jean-Paul; Cosnard, Michel
17
2000
Itérations de fonctions unimodales et suites engendrées par automates. Zbl 0547.58027
Allouche, Jean-Paul; Cosnard, Michel
17
1983
Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
16
2009
Quasicrystal Ising chain and automata theory. Zbl 0641.10043
Allouche, Jean-Paul; Mendès France, Michel
16
1986
Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms. Zbl 0918.11016
Allouche, Jean-Paul; Zamboni, Luca Q.
15
1998
Sums of digits, overlaps, and palindromes. Zbl 1013.11004
Allouche, Jean-Paul; Shallit, Jeffrey
15
2000
Transcendence of formal power series with rational coefficients. Zbl 0916.68123
Allouche, Jean-Paul
14
1999
A relative of the Thue-Morse sequence. Zbl 0839.11007
Allouche, Jean-Paul; Arnold, André; Berstel, Jean; Brlek, Srećko; Jockusch, William; Plouffe, Simon; Sagan, Bruce E.
14
1995
Sur la transcendance de la série formelle \(\Pi\) . (On the transcendence of formal power series \(\Pi\) ). Zbl 0709.11067
Allouche, Jean-Paul
14
1990
Periodic unique beta-expansions: the Sharkovskiĭ ordering. Zbl 1279.11009
Allouche, Jean-Paul; Clarke, Matthew; Sidorov, Nikita
13
2009
Automatic maps in exotic numeration systems. Zbl 0870.68105
Allouche, Jean-Paul; Cateland, E.; Gilbert, W. J.; Peitgen, Heinz-Otto; Shallit, Jeffrey O.; Skordev, Gencho
13
1997
Notes on cellular automata. Zbl 1103.68648
Allouche, Jean-Paul; Courbage, Maurice; Skordev, Gencho
12
2001
Automaticity of double sequences generated by one-dimensional linear cellular automata. Zbl 0943.11020
Allouche, J.-P.; von Haeseler, Fritz; Peitgen, H.-O.; Petersen, A.; Skordev, G.
12
1997
Automatic Dirichlet series. Zbl 0971.11006
Allouche, J.-P.; Mendès France, M.; Peyrière, J.
12
2000
Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set. Zbl 1012.11007
Allouche, J.-P.; Cosnard, M.
11
2001
Reversals and palindromes in continued fractions. Zbl 1118.68110
Adamczewski, Boris; Allouche, Jean-Paul
10
2007
Note on a paper of Sharif and Woodcock. (Note sur un article de Sharif et Woodcock.) Zbl 0714.12006
Allouche, Jean-Paul
10
1989
Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012
Allouche, Jean-Paul; Berthé, Valérie
9
1997
Somme des chiffres et transcendance. Zbl 0508.10022
Allouche, Jean-Paul
9
1982
Toeplitz sequences, paperfolding, towers of Hanoi and progression-free sequences of integers. Zbl 0784.11008
Allouche, Jean-Paul; Bacher, Roland
8
1992
Canonical positions for the factors in paperfolding sequences. Zbl 0820.11011
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
8
1994
Transcendence of the Carlitz-Goss gamma function at rational arguments. Zbl 0862.11039
Allouche, Jean-Paul
8
1996
Infinite products associated with counting blocks in binary strings. Zbl 0629.05004
Allouche, J.-P.; Shallit, J. O.
8
1989
Sur des points fixes de morphismes d’un monoïde libre. Zbl 0691.68065
Allouche, J.-P.; Betrema, J.; Shallit, J. O.
7
1988
On an extremal property of the Rudin-Shapiro sequence. Zbl 0561.10025
Allouche, Jean-Paul; Mendès France, Michel
7
1985
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
7
1991
Schur congruences, Carlitz sequences of polynomials and automaticity. Zbl 0976.33005
Allouche, J.-P.; Skordev, G.
7
2000
Factors of generalized Rudin-Shapiro sequences. (Facteurs des suites de Rudin-Shapiro généralisées.) Zbl 0803.68096
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
7
1994
On univoque Pisot numbers. Zbl 1182.11051
Allouche, Jean-Paul; Frougny, Christiane; Hare, Kevin G.
6
2007
Indian kolam patterns, sand drawings in the Vanuatu Islands, the Sierpiński curve, and monoid morphisms. (Kolam indiens, dessins sur le sable aux îles Vanuatu, courbe de Sierpiński et morphismes de monoïde.) Zbl 1147.11015
Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey
6
2006
Infinite products with strongly \(B\)-multiplicative exponents. Zbl 1174.11006
Allouche, J.-P.; Sondow, J.
6
2008
On the continued fraction expansion of some formal power series. (Sur le développement en fraction continue de certaines séries formelles.) Zbl 0657.10035
Allouche, Jean-Paul
6
1988
Extremal properties of (epi)Sturmian sequences and distribution modulo 1. Zbl 1254.68192
Allouche, Jean-Paul; Glen, Amy
6
2010
Mock characters and the Kronecker symbol. Zbl 1448.11062
Allouche, Jean-Paul; Goldmakher, Leo
5
2018
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
5
1998
Complexity of generalized Rudin-Shapiro sequences. (Complexité des suites de Rudin-Shapiro généralisées.) Zbl 0817.11014
Allouche, J.-P.; Shallit, J. O.
5
1993
Schrödinger operators with Rudin-Shapiro potentials are not palindromic. Zbl 0999.81018
Allouche, J.-P.
5
1997
Regular maps in generalized number systems. Zbl 0957.11014
Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F.
5
2000
De nouveaux curieux produits infinis. (On new curious infinite products). Zbl 0584.10024
Allouche, J.-P.; Cohen, H.; Mendès France, Michel; Shallit, J. O.
5
1987
Sur une formule de récurrence sur les traces de produits de matrices associées à certaines substitutions. (On a recursion relation for traces of products of 2\(\times 2\) matrices generated by certain substitution rules). Zbl 0587.65033
Allouche, Jean-Paul; Peyrière, Jacques
5
1986
Vibrational modes in a one dimensional “quasi-alloy”: The Morse case. Zbl 0696.10050
Axel, F.; Allouche, J. P.; Kleman, M.; Mendès-France, M.; Peyrière, J.
5
1986
Suites infinies à répétitions bornées. Zbl 0548.68069
Allouche, Jean-Paul
5
1984
Oscillations spatio-temporelles engendrées par un automate cellulaire. Zbl 0564.68039
Allouche, Jean-Paul; Reder, Christine
5
1984
New results on the transcendence of real numbers with nonrandom expansion. (Nouveaux résultats de transcendance de réels à développement non aléatoire.) Zbl 1388.11046
Allouche, Jean-Paul
5
2000
Generalized Beatty sequences and complementary triples. Zbl 1455.11042
Allouche, Jean-Paul; Dekking, F. Michel
4
2019
On integer sequences whose first iterates are linear. Zbl 1069.39026
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
4
2005
The ring of \(k\)-regular sequences. Zbl 0742.11012
Allouche, Jean-Paul; Shallit, Jeffrey
4
1990
Transcendence of binomial and Lucas’ formal power series. Zbl 0980.11030
Allouche, J.-P.; Gouyou-Beauchamps, D.; Skordev, G.
4
1998
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S.
4
1999
Restricted Towers of Hanoi and morphisms. Zbl 1132.05306
Allouche, Jean-Paul; Sapir, Amir
4
2005
Suite de Rudin-Shapiro et modèle d’Ising. (Rudin-Shapiro sequence and Ising model). Zbl 0592.10049
Allouche, Jean-Paul; Mendès France, Michel
4
1985
Tours de Hanoï et automates. (Towers of Hanoi and automata). Zbl 0701.68036
Allouche, J.-P.; Dress, François
4
1990
A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016
Allouche, Jean-Paul; Shallit, Jeffrey
4
2012
More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002
Allouche, J.-P.; Riasat, S.; Shallit, J.
3
2019
Bounds on autocorrelation coefficients of Rudin-Shapiro polynomials. Zbl 1449.42001
Allouche, J.-P.; Choi, S.; Denise, A.; Erdélyi, T.; Saffari, B.
3
2019
Self-generating sets, integers with missing blocks, and substitutions. Zbl 1117.11020
Allouche, J.-P.; Shallit, J.; Skordev, G.
3
2005
Univoque numbers and an avatar of Thue-Morse. Zbl 1168.11002
Allouche, Jean-Paul; Frougny, Christiane
3
2009
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
3
1996
Pattern spectra, substring enumeration, and automatic sequences. Zbl 0753.11012
Allouche, Jean-Paul; Morton, Patrick; Shallit, Jeffrey
3
1992
Note on the transcendence of a generating functions. Zbl 0932.11017
Allouche, Jean-Paul
3
1997
Polynomial subsequences of certain automatic sequences. (Sous-suites polynomiales de certaines suites automatiques.) Zbl 0795.11009
Allouche, Jean-Paul; Salon, Olivier
3
1993
On the conjectures of Rauzy and Shallit for infinite words. Zbl 0859.11019
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
3
1995
Automata, algebraicity and distribution of sequences of powers. Zbl 1068.11048
Allouche, Jean-Paul; Deshouillers, Jean-Marc; Kamae, Teturo; Koyanagi, Tadahiro
3
2001
Hadamard grade of power series. Zbl 1267.11025
Allouche, J.-P.; Mendès France, M.
3
2011
Finite automata in 1-D and 2-D physics. Zbl 0713.11019
Allouche, J.-P.
3
1990
Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. Zbl 1395.11039
Allouche, Jean-Paul
3
2015
Beyond odious and evil. Zbl 1415.11019
Allouche, Jean-Paul; Cloitre, Benoit; Shevelev, V.
3
2016
On a Golay-Shapiro-like sequence. Zbl 1445.11078
Allouche, Jean-Paul
3
2016
Summation of series defined by counting blocks of digits. Zbl 1131.11009
Allouche, J.-P.; Shallit, J.; Sondow, J.
2
2007
Two binomial identities of Ruehr revisited. Zbl 1409.11019
Allouche, J.-P.
2
2019
A generalization of an identity due to Kimura and Ruehr. Zbl 1417.05016
Allouche, J.-P.
2
2018
Generalized perturbed symmetry. Zbl 0918.11015
Allouche, Jean-Paul; Shallit, Jeffrey
2
1998
Entropy: An inequality. Zbl 0685.28010
Allouche, J.-P.; Mendès France, M.; Tenenbaum, G.
2
1988
Automatic maps on a semiring with digits. Zbl 0879.11010
Allouche, Jean-Paul; Cateland, E.; Peitgen, Heinz-Otto; Skordev, Gencho; Shallit, Jeffrey
2
1995
Algebraic and analytic randomness. Zbl 1035.68089
Allouche, Jean-Paul
2
2000
Arithmétique et automates finis. (Arithmetic and finite automata). Zbl 0619.10005
Allouche, Jean-Paul
2
1987
Spatio temporal oscillations of a cellular automaton in excitable media. Zbl 0519.92030
Allouche, J. P.; Reder, C.
2
1983
Paperfolding infinite products and the gamma function. Zbl 1320.11023
Allouche, J.-P.
2
2015
On the Stern sequence and its twisted version. Zbl 1283.11026
Allouche, J.-P.
2
2012
Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald
1
2020
Euler, Pisot, Prouhet-Thue-Morse, Wallis and the duplication of sines. Zbl 1169.11005
Allouche, J.-P.; Mendès France, M.
1
2008
von Koch and Thue-Morse revisited. Zbl 1151.28007
Allouche, J.-P.; Skordev, G.
1
2007
Note on an integral of Ramanujan. Zbl 1119.33002
Allouche, J.-P.
1
2007
Finite automata and arithmetic. Zbl 0903.11009
Allouche, Jean-Paul
1
1993
Remarks on permutive cellular automata. Zbl 1055.68076
Allouche, J.-P.; Skordev, G.
1
2003
Analysis of an infinite product algorithm. Zbl 0677.68032
Allouche, J.-P.; Hajnal, P.; Shallit, J. O.
1
1989
Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald
1
2020
Generalized Beatty sequences and complementary triples. Zbl 1455.11042
Allouche, Jean-Paul; Dekking, F. Michel
4
2019
More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002
Allouche, J.-P.; Riasat, S.; Shallit, J.
3
2019
Bounds on autocorrelation coefficients of Rudin-Shapiro polynomials. Zbl 1449.42001
Allouche, J.-P.; Choi, S.; Denise, A.; Erdélyi, T.; Saffari, B.
3
2019
Two binomial identities of Ruehr revisited. Zbl 1409.11019
Allouche, J.-P.
2
2019
Mock characters and the Kronecker symbol. Zbl 1448.11062
Allouche, Jean-Paul; Goldmakher, Leo
5
2018
A generalization of an identity due to Kimura and Ruehr. Zbl 1417.05016
Allouche, J.-P.
2
2018
Beyond odious and evil. Zbl 1415.11019
Allouche, Jean-Paul; Cloitre, Benoit; Shevelev, V.
3
2016
On a Golay-Shapiro-like sequence. Zbl 1445.11078
Allouche, Jean-Paul
3
2016
Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. Zbl 1395.11039
Allouche, Jean-Paul
3
2015
Paperfolding infinite products and the gamma function. Zbl 1320.11023
Allouche, J.-P.
2
2015
Book review of: Yann Bugeaud, Distribution modulo one and Diophantine approximation. Zbl 1301.00023
Allouche, Jean-Paul
1
2014
Lacunary formal power series and the Stern-Brocot sequence. Zbl 1293.11046
Allouche, Jean-Paul; Mendès France, Michel
1
2013
A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016
Allouche, Jean-Paul; Shallit, Jeffrey
4
2012
On the Stern sequence and its twisted version. Zbl 1283.11026
Allouche, J.-P.
2
2012
Surveying some notions of complexity for finite and infinite sequences. Zbl 1271.68202
Allouche, Jean-Paul
1
2012
Hadamard grade of power series. Zbl 1267.11025
Allouche, J.-P.; Mendès France, M.
3
2011
Extremal properties of (epi)Sturmian sequences and distribution modulo 1. Zbl 1254.68192
Allouche, Jean-Paul; Glen, Amy
6
2010
Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
16
2009
Periodic unique beta-expansions: the Sharkovskiĭ ordering. Zbl 1279.11009
Allouche, Jean-Paul; Clarke, Matthew; Sidorov, Nikita
13
2009
Univoque numbers and an avatar of Thue-Morse. Zbl 1168.11002
Allouche, Jean-Paul; Frougny, Christiane
3
2009
Distribution modulo 1 and the lexicographic world. Zbl 1217.11068
Allouche, Jean-Paul; Glen, Amy
1
2009
Infinite products with strongly \(B\)-multiplicative exponents. Zbl 1174.11006
Allouche, J.-P.; Sondow, J.
6
2008
Euler, Pisot, Prouhet-Thue-Morse, Wallis and the duplication of sines. Zbl 1169.11005
Allouche, J.-P.; Mendès France, M.
1
2008
Reversals and palindromes in continued fractions. Zbl 1118.68110
Adamczewski, Boris; Allouche, Jean-Paul
10
2007
On univoque Pisot numbers. Zbl 1182.11051
Allouche, Jean-Paul; Frougny, Christiane; Hare, Kevin G.
6
2007
Summation of series defined by counting blocks of digits. Zbl 1131.11009
Allouche, J.-P.; Shallit, J.; Sondow, J.
2
2007
von Koch and Thue-Morse revisited. Zbl 1151.28007
Allouche, J.-P.; Skordev, G.
1
2007
Note on an integral of Ramanujan. Zbl 1119.33002
Allouche, J.-P.
1
2007
Indian kolam patterns, sand drawings in the Vanuatu Islands, the Sierpiński curve, and monoid morphisms. (Kolam indiens, dessins sur le sable aux îles Vanuatu, courbe de Sierpiński et morphismes de monoïde.) Zbl 1147.11015
Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey
6
2006
On integer sequences whose first iterates are linear. Zbl 1069.39026
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
4
2005
Restricted Towers of Hanoi and morphisms. Zbl 1132.05306
Allouche, Jean-Paul; Sapir, Amir
4
2005
Self-generating sets, integers with missing blocks, and substitutions. Zbl 1117.11020
Allouche, J.-P.; Shallit, J.; Skordev, G.
3
2005
Automata and algebraicity. (Automates et algébricités.) Zbl 1119.11020
Allouche, Jean-Paul
1
2005
Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015
Allouche, Jean-Paul; Shallit, Jeffrey
472
2003
Palindrome complexity. Zbl 1064.68074
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David
53
2003
The ring of \(k\)-regular sequences. II. Zbl 1058.68066
Allouche, Jean-Paul; Shallit, Jeffrey
35
2003
Remarks on permutive cellular automata. Zbl 1055.68076
Allouche, J.-P.; Skordev, G.
1
2003
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
37
2001
Notes on cellular automata. Zbl 1103.68648
Allouche, Jean-Paul; Courbage, Maurice; Skordev, Gencho
12
2001
Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set. Zbl 1012.11007
Allouche, J.-P.; Cosnard, M.
11
2001
Automata, algebraicity and distribution of sequences of powers. Zbl 1068.11048
Allouche, Jean-Paul; Deshouillers, Jean-Marc; Kamae, Teturo; Koyanagi, Tadahiro
3
2001
The Komornik-Loreti constant is transcendental. Zbl 0997.11052
Allouche, Jean-Paul; Cosnard, Michel
17
2000
Sums of digits, overlaps, and palindromes. Zbl 1013.11004
Allouche, Jean-Paul; Shallit, Jeffrey
15
2000
Automatic Dirichlet series. Zbl 0971.11006
Allouche, J.-P.; Mendès France, M.; Peyrière, J.
12
2000
Schur congruences, Carlitz sequences of polynomials and automaticity. Zbl 0976.33005
Allouche, J.-P.; Skordev, G.
7
2000
Regular maps in generalized number systems. Zbl 0957.11014
Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F.
5
2000
New results on the transcendence of real numbers with nonrandom expansion. (Nouveaux résultats de transcendance de réels à développement non aléatoire.) Zbl 1388.11046
Allouche, Jean-Paul
5
2000
Algebraic and analytic randomness. Zbl 1035.68089
Allouche, Jean-Paul
2
2000
The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005
Allouche, Jean-Paul; Shallit, Jeffrey
107
1999
Transcendence of formal power series with rational coefficients. Zbl 0916.68123
Allouche, Jean-Paul
14
1999
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S.
4
1999
Hankel determinants of the Thue-Morse sequence. Zbl 0974.11010
Allouche, Jean-Paul; Peyrière, Jacques; Wen, Zhi-Xiong; Wen, Zhi-Ying
22
1998
Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms. Zbl 0918.11016
Allouche, Jean-Paul; Zamboni, Luca Q.
15
1998
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
5
1998
Transcendence of binomial and Lucas’ formal power series. Zbl 0980.11030
Allouche, J.-P.; Gouyou-Beauchamps, D.; Skordev, G.
4
1998
Generalized perturbed symmetry. Zbl 0918.11015
Allouche, Jean-Paul; Shallit, Jeffrey
2
1998
Automatic maps in exotic numeration systems. Zbl 0870.68105
Allouche, Jean-Paul; Cateland, E.; Gilbert, W. J.; Peitgen, Heinz-Otto; Shallit, Jeffrey O.; Skordev, Gencho
13
1997
Automaticity of double sequences generated by one-dimensional linear cellular automata. Zbl 0943.11020
Allouche, J.-P.; von Haeseler, Fritz; Peitgen, H.-O.; Petersen, A.; Skordev, G.
12
1997
Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012
Allouche, Jean-Paul; Berthé, Valérie
9
1997
Schrödinger operators with Rudin-Shapiro potentials are not palindromic. Zbl 0999.81018
Allouche, J.-P.
5
1997
Note on the transcendence of a generating functions. Zbl 0932.11017
Allouche, Jean-Paul
3
1997
Linear cellular automata, finite automata and Pascal’s triangle. Zbl 0854.68065
Allouche, Jean-Paul; von Haeseler, Fritz; Peitgen, Heinz-Otto; Skordev, Gencho
19
1996
Transcendence of the Carlitz-Goss gamma function at rational arguments. Zbl 0862.11039
Allouche, Jean-Paul
8
1996
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
3
1996
Automata and automatic sequences. Zbl 0881.11026
Allouche, Jean-Paul; Mendès France, M.
20
1995
A relative of the Thue-Morse sequence. Zbl 0839.11007
Allouche, Jean-Paul; Arnold, André; Berstel, Jean; Brlek, Srećko; Jockusch, William; Plouffe, Simon; Sagan, Bruce E.
14
1995
On the conjectures of Rauzy and Shallit for infinite words. Zbl 0859.11019
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
3
1995
Automatic maps on a semiring with digits. Zbl 0879.11010
Allouche, Jean-Paul; Cateland, E.; Peitgen, Heinz-Otto; Skordev, Gencho; Shallit, Jeffrey
2
1995
On the complexity of infinite sequences. (Sur la complexité des suites infinies.) Zbl 0803.68094
Allouche, Jean-Paul
37
1994
Canonical positions for the factors in paperfolding sequences. Zbl 0820.11011
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
8
1994
Factors of generalized Rudin-Shapiro sequences. (Facteurs des suites de Rudin-Shapiro généralisées.) Zbl 0803.68096
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
7
1994
Complexity of generalized Rudin-Shapiro sequences. (Complexité des suites de Rudin-Shapiro généralisées.) Zbl 0817.11014
Allouche, J.-P.; Shallit, J. O.
5
1993
Polynomial subsequences of certain automatic sequences. (Sous-suites polynomiales de certaines suites automatiques.) Zbl 0795.11009
Allouche, Jean-Paul; Salon, Olivier
3
1993
Finite automata and arithmetic. Zbl 0903.11009
Allouche, Jean-Paul
1
1993
The ring of \(k\)-regular sequences. Zbl 0774.68072
Allouche, Jean-Paul; Shallit, Jeffrey
100
1992
The number of factors in paperfolding sequence. Zbl 0753.11011
Allouche, Jean-Paul
17
1992
Toeplitz sequences, paperfolding, towers of Hanoi and progression-free sequences of integers. Zbl 0784.11008
Allouche, Jean-Paul; Bacher, Roland
8
1992
Pattern spectra, substring enumeration, and automatic sequences. Zbl 0753.11012
Allouche, Jean-Paul; Morton, Patrick; Shallit, Jeffrey
3
1992
Generalized Rudin-Shapiro sequences. Zbl 0763.11010
Allouche, Jean-Paul; Liardet, Pierre
19
1991
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
7
1991
Sur la transcendance de la série formelle \(\Pi\) . (On the transcendence of formal power series \(\Pi\) ). Zbl 0709.11067
Allouche, Jean-Paul
14
1990
The ring of \(k\)-regular sequences. Zbl 0742.11012
Allouche, Jean-Paul; Shallit, Jeffrey
4
1990
Tours de Hanoï et automates. (Towers of Hanoi and automata). Zbl 0701.68036
Allouche, J.-P.; Dress, François
4
1990
Finite automata in 1-D and 2-D physics. Zbl 0713.11019
Allouche, J.-P.
3
1990
Sums of digits and the Hurwitz zeta function. Zbl 0711.11003
Allouche, Jean-Paul; Shallit, Jeffrey
1
1990
Note on a paper of Sharif and Woodcock. (Note sur un article de Sharif et Woodcock.) Zbl 0714.12006
Allouche, Jean-Paul
10
1989
Infinite products associated with counting blocks in binary strings. Zbl 0629.05004
Allouche, J.-P.; Shallit, J. O.
8
1989
Analysis of an infinite product algorithm. Zbl 0677.68032
Allouche, J.-P.; Hajnal, P.; Shallit, J. O.
1
1989
Sur des points fixes de morphismes d’un monoïde libre. Zbl 0691.68065
Allouche, J.-P.; Betrema, J.; Shallit, J. O.
7
1988
On the continued fraction expansion of some formal power series. (Sur le développement en fraction continue de certaines séries formelles.) Zbl 0657.10035
Allouche, Jean-Paul
6
1988
Entropy: An inequality. Zbl 0685.28010
Allouche, J.-P.; Mendès France, M.; Tenenbaum, G.
2
1988
Indépendance algébrique de certaines séries formelles. (Algebraic independence of certain formal power series). Zbl 0696.10031
Allouche, J.-P.; Mendès-France, M.; van der Poorten, A. J.
1
1988
Répartition de la suite des puissances d’une série formelle algébrique. (Distribution of the sequence of powers of a formal algebraic series). Zbl 0713.11045
Allouche, Jean-Paul; Deshouillers, Jean-Marc
1
1988
Finite automata in number theory. (Automates finis en théorie des nombres.) Zbl 0641.10041
Allouche, Jean-Paul
43
1987
De nouveaux curieux produits infinis. (On new curious infinite products). Zbl 0584.10024
Allouche, J.-P.; Cohen, H.; Mendès France, Michel; Shallit, J. O.
5
1987
Arithmétique et automates finis. (Arithmetic and finite automata). Zbl 0619.10005
Allouche, Jean-Paul
2
1987
Quasicrystal Ising chain and automata theory. Zbl 0641.10043
Allouche, Jean-Paul; Mendès France, Michel
16
1986
Sur une formule de récurrence sur les traces de produits de matrices associées à certaines substitutions. (On a recursion relation for traces of products of 2\(\times 2\) matrices generated by certain substitution rules). Zbl 0587.65033
Allouche, Jean-Paul; Peyrière, Jacques
5
1986
Vibrational modes in a one dimensional “quasi-alloy”: The Morse case. Zbl 0696.10050
Axel, F.; Allouche, J. P.; Kleman, M.; Mendès-France, M.; Peyrière, J.
5
1986
...and 8 more Documents
all top 5

Cited by 931 Authors

53 Allouche, Jean-Paul Simon
51 Shallit, Jeffrey O.
24 Bell, Jason P.
22 Bugeaud, Yann
22 Rampersad, Narad
21 Rigo, Michel
21 Zamboni, Luca Quardo
19 Coons, Michael
18 Adamczewski, Boris
17 Wen, Zhixiong
14 Mauduit, Christian
14 Pelantová, Edita
14 Skordev, Gencho S.
14 von Haeseler, Fritz
13 Barbé, André M.
13 Grytczuk, Jarosław
12 Cassaigne, Julien
12 Mendès France, Michel
11 Charlier, Emilie
11 Frid, Anna Èduardovna
11 Kong, Derong
11 Yao, Jiayan
10 Dekking, Frederik Michel
10 Glen, Amy
10 Peitgen, Heinz-Otto
9 Currie, James D.
9 Drmota, Michael
9 Hare, Kevin G.
9 Moshe, Yossi
9 Wu, Wen
8 Han, Guo-Niu
8 Puzynina, Svetlana
8 Reutenauer, Christophe
8 Rowland, Eric S.
8 Spiegelhofer, Lukas
8 Stipulanti, Manon
8 Wen, Zhiying
7 Guo, Yingjun
7 Honkala, Juha
7 Kamae, Teturo
7 Karhumaki, Juhani
7 Kärki, Tomi
7 Leroy, Julien
7 Masáková, Zuzana
7 Scheicher, Klaus
7 Starosta, Štěpán
7 Stoll, Thomas
7 Thuswaldner, Jörg Maximilian
6 Baake, Michael
6 Blanchet-Sadri, Francine
6 Chen, Jin
6 de Luca, Aldo
6 Deshouillers, Jean-Marc
6 Dubickas, Artūras
6 Dumas, Philippe
6 Flajolet, Philippe
6 Frougny, Christiane
6 Grimm, Uwe
6 Le Gonidec, Marion
6 Mkaouar, Mohamed
6 Müllner, Clemens
6 Rivat, Joël
6 Saari, Kalle
6 Salo, Ville O.
6 Ulas, Maciej
6 Vuillon, Laurent
6 Wen, Zhi-Ying
5 Baker, Simon
5 Berthé, Valérie
5 Brlek, Srečko
5 Damanik, David
5 Fici, Gabriele
5 Hu, Yining
5 Justin, Jacques
5 Krieger, Dalia
5 Kwon, DoYong
5 Lasjaunias, Alain
5 Li, Wenxia
5 Mignosi, Filippo
5 Richomme, Gwénaël
5 Rutten, Jan J. M. M.
5 Rytter, Wojciech
5 Schaeffer, Luke
5 Séébold, Patrice
5 Tan, Bo
5 Yassawi, Reem
4 Allaart, Pieter C.
4 Bacher, Roland
4 Bašić, Bojan
4 Berend, Daniel
4 Bucci, Michelangelo
4 De Luca, Alessandro
4 Durand, Fabien
4 Endrullis, Jörg
4 Fraenkel, Aviezri Siegmund
4 Harju, Tero
4 Jenkinson, Oliver
4 Kim, Donghan
4 Klop, Jan Willem
4 Konieczny, Jakub
...and 831 more Authors
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Cited in 181 Serials

154 Theoretical Computer Science
49 Journal of Number Theory
38 Journal de Théorie des Nombres de Bordeaux
34 Advances in Applied Mathematics
33 Discrete Mathematics
28 Discrete Applied Mathematics
21 Annales de l’Institut Fourier
21 European Journal of Combinatorics
21 RAIRO. Theoretical Informatics and Applications
18 International Journal of Foundations of Computer Science
16 Journal of Combinatorial Theory. Series A
16 Ergodic Theory and Dynamical Systems
14 Proceedings of the American Mathematical Society
14 Integers
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 RAIRO. Theoretical Informatics and Applications
11 Advances in Mathematics
11 The Ramanujan Journal
11 International Journal of Number Theory
10 Information Processing Letters
10 Monatshefte für Mathematik
10 Transactions of the American Mathematical Society
10 Information and Computation
10 The Electronic Journal of Combinatorics
10 Journal of Integer Sequences
9 Indagationes Mathematicae. New Series
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Acta Mathematica Hungarica
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Fractals
6 Bulletin of the Australian Mathematical Society
6 Mathematics of Computation
6 Journal of Algebra
6 Discrete and Continuous Dynamical Systems
5 Communications in Mathematical Physics
5 Journal of Statistical Physics
5 Acta Arithmetica
5 Mathematische Annalen
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Discrete Algorithms
4 Israel Journal of Mathematics
4 Journal of Mathematical Physics
4 Nonlinearity
4 Compositio Mathematica
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 International Journal of Algebra and Computation
4 Linear Algebra and its Applications
4 Finite Fields and their Applications
4 Discrete Mathematics and Theoretical Computer Science. DMTCS
4 Journal of the Australian Mathematical Society
3 Acta Informatica
3 Journal of Mathematical Analysis and Applications
3 Chaos, Solitons and Fractals
3 The Mathematical Intelligencer
3 Acta Mathematica
3 Journal of Pure and Applied Algebra
3 Journal für die Reine und Angewandte Mathematik
3 Mathematika
3 Studies in Applied Mathematics
3 Physica D
3 Aequationes Mathematicae
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 RAIRO. Informatique Théorique et Applications
3 Journal of Mathematical Sciences (New York)
3 Documenta Mathematica
3 Theory of Computing Systems
3 Actes des Rencontres du C.I.R.M.
2 American Mathematical Monthly
2 Journal d’Analyse Mathématique
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Bulletin de la Société Mathématique de France
2 Canadian Journal of Mathematics
2 Functiones et Approximatio. Commentarii Mathematici
2 Geometriae Dedicata
2 International Journal of Mathematics and Mathematical Sciences
2 Inventiones Mathematicae
2 Journal of Computer and System Sciences
2 Journal of the Korean Mathematical Society
2 Mathematische Zeitschrift
2 Notre Dame Journal of Formal Logic
2 Graphs and Combinatorics
2 Algorithmica
2 SIAM Journal on Discrete Mathematics
2 Random Structures & Algorithms
2 International Journal of Computer Mathematics
2 Applied and Computational Harmonic Analysis
2 Complexity
2 Algebras and Representation Theory
2 Annals of Mathematics. Second Series
2 Dynamical Systems
2 Journal of Mathematics and Music
2 Logical Methods in Computer Science
2 Algebra & Number Theory
2 Cryptography and Communications
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Periodica Mathematica Hungarica
...and 81 more Serials
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Cited in 53 Fields

530 Number theory (11-XX)
504 Computer science (68-XX)
130 Combinatorics (05-XX)
128 Dynamical systems and ergodic theory (37-XX)
57 Measure and integration (28-XX)
24 Group theory and generalizations (20-XX)
22 Statistical mechanics, structure of matter (82-XX)
20 Mathematical logic and foundations (03-XX)
17 Probability theory and stochastic processes (60-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Functions of a complex variable (30-XX)
15 Real functions (26-XX)
15 Information and communication theory, circuits (94-XX)
14 Commutative algebra (13-XX)
13 Convex and discrete geometry (52-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Special functions (33-XX)
11 Difference and functional equations (39-XX)
10 Associative rings and algebras (16-XX)
9 Field theory and polynomials (12-XX)
9 Operator theory (47-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 General and overarching topics; collections (00-XX)
6 Algebraic geometry (14-XX)
6 Ordinary differential equations (34-XX)
6 Quantum theory (81-XX)
6 Biology and other natural sciences (92-XX)
5 Approximations and expansions (41-XX)
5 Numerical analysis (65-XX)
4 Integral transforms, operational calculus (44-XX)
4 Geometry (51-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 General algebraic systems (08-XX)
3 Sequences, series, summability (40-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 Partial differential equations (35-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
2 Systems theory; control (93-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

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