Edit Profile (opens in new tab) Allouche, Jean-Paul Simon Co-Author Distance Author ID: allouche.jean-paul Published as: Allouche, Jean-Paul; Allouche, J.-P.; Allouche, J. P. more...less Homepage: https://webusers.imj-prg.fr/~jean-paul.allouche/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Member of Collective: Lothaire, M. Documents Indexed: 179 Publications since 1977, including 2 Books 1 Further Contribution Reviewing Activity: 419 Reviews Biographic References: 1 Publication Co-Authors: 94 Co-Authors with 109 Joint Publications 2,893 Co-Co-Authors all top 5 Co-Authors 71 single-authored 31 Shallit, Jeffrey Outlaw 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 Berstel, Jean 2 Berthé, Valérie 2 Cateland, E. 2 Cohen, Henri 2 Dales, Harold Garth 2 Dekking, Frederik Michel 2 Deshouillers, Jean-Marc 2 Frougny, Christiane 2 Glen, Amy 2 Han, Guo-Niu 2 Johnson, Tom 2 Maillard-Teyssier, Laurence 2 Queffelec, Martine 2 Rampersad, Narad 2 von Haeseler, Fritz 2 Zamboni, Luca Quardo 1 Adamczewski, Boris 1 Adler, Christopher 1 Allombert, Bill 1 Allouche, Gabrielle 1 Arnold, André 1 Axel, Françoise 1 Baake, Michael 1 Bacher, Roland 1 Baruchel, Thomas 1 Bétréma, Jean 1 Brezzi, Franco 1 Brlek, Srečko 1 Cassaigne, Julien 1 Cloitre, Benoit 1 Courbage, Maurice 1 Crochemore, Maxime 1 Currie, James D. 1 Damanik, David 1 Daudé, Hervé 1 Davison, J. Leslie 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 Jacquet, Philippe 1 Jensen, Arne 1 Jockusch, William 1 Kamae, Teturo 1 Kléman, Maurice 1 Kolpakov, Roman M. 1 Koucherov, Gregory 1 Koyanagi, Tadahiro 1 Krichever, Igor’ Moiseevich 1 Laborde, Marc 1 Laporte, Éric 1 Liardet, Pierre 1 Lothaire, M. 1 Lubiw, Anna 1 Mohri, Mehryar 1 Morton, Patrick 1 Niederreiter, Harald 1 Odlyzko, Andrew M. 1 Perrin, Dominique 1 Peters, Klaus-Heinrich 1 Pisanski, Tomaž 1 Pisanti, Nadia 1 Plouffe, Simon 1 Poulalhon, Dominique 1 Quirós Gracián, Adolfo 1 Rande, Bernard 1 Reinert, Gesine D. 1 Riasat, Samin 1 Saffari, Bahman 1 Sagan, Bruce Eli 1 Sagot, Marie-France 1 Salon, Olivier 1 Sapir, Amir 1 Schaeffer, Gilles 1 Schbath, Sophie 1 Scheicher, Klaus 1 Shaposhnikova, Tatiana A. 1 Sidorov, Nikita A. 1 Szpankowski, Wojciech 1 Tenenbaum, Gérald ...and 10 more Co-Authors all top 5 Serials 12 Theoretical Computer Science 12 European Mathematical Society Newsletter 9 Journal of Number Theory 6 Acta Arithmetica 6 Gazette des Mathématiciens 6 Integers 4 Discrete Mathematics 4 Journal de Théorie des Nombres de Bordeaux 4 The Ramanujan Journal 4 European Mathematical Society Magazine 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 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 Expositiones Mathematicae 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 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 Encyclopedia of Mathematics and Its Applications 1 Journal of Mathematics and the Arts 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 1 Combinatorial Theory 1 Journal of New Music Research all top 5 Fields 139 Number theory (11-XX) 83 Computer science (68-XX) 20 General and overarching topics; collections (00-XX) 19 Combinatorics (05-XX) 16 Dynamical systems and ergodic theory (37-XX) 10 History and biography (01-XX) 10 Commutative algebra (13-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Special functions (33-XX) 6 General topology (54-XX) 4 Group theory and generalizations (20-XX) 4 Measure and integration (28-XX) 4 Partial differential equations (35-XX) 3 Mathematical logic and foundations (03-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mathematics education (97-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 1,908 times in 1,173 Documents Cited by ▼ Year ▼ Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015Allouche, Jean-Paul; Shallit, Jeffrey 604 2003 The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005Allouche, Jean-Paul; Shallit, Jeffrey 143 1999 Applied combinatorics on words. A collective work by Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche and Valérie Berthé. With a preface by Berstel and Perrin. Zbl 1133.68067Lothaire, M. 136 2005 The ring of \(k\)-regular sequences. Zbl 0774.68072Allouche, Jean-Paul; Shallit, Jeffrey 131 1992 Palindrome complexity. Zbl 1064.68074Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David 68 2003 The ring of \(k\)-regular sequences. II. Zbl 1058.68066Allouche, Jean-Paul; Shallit, Jeffrey 48 2003 Finite automata in number theory. (Automates finis en théorie des nombres.) Zbl 0641.10041Allouche, Jean-Paul 48 1987 Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q. 40 2001 On the complexity of infinite sequences. (Sur la complexité des suites infinies.) Zbl 0803.68094Allouche, Jean-Paul 38 1994 Hankel determinants of the Thue-Morse sequence. Zbl 0974.11010Allouche, Jean-Paul; Peyrière, Jacques; Wen, Zhi-Xiong; Wen, Zhi-Ying 28 1998 Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey 24 2009 Generalized Rudin-Shapiro sequences. Zbl 0763.11010Allouche, Jean-Paul; Liardet, Pierre 22 1991 The Komornik-Loreti constant is transcendental. Zbl 0997.11052Allouche, Jean-Paul; Cosnard, Michel 22 2000 Automata and automatic sequences. Zbl 0881.11026Allouche, Jean-Paul; Mendès France, M. 21 1995 Dirichlet series and curious infinite products. Zbl 0577.10036Allouche, Jean-Paul; Cohen, Henri 20 1985 The number of factors in paperfolding sequence. Zbl 0753.11011Allouche, Jean-Paul 19 1992 Linear cellular automata, finite automata and Pascal’s triangle. Zbl 0854.68065Allouche, Jean-Paul; von Haeseler, Fritz; Peitgen, Heinz-Otto; Skordev, Gencho 19 1996 Itérations de fonctions unimodales et suites engendrées par automates. Zbl 0547.58027Allouche, Jean-Paul; Cosnard, Michel 18 1983 Quasicrystal Ising chain and automata theory. Zbl 0641.10043Allouche, Jean-Paul; Mendès France, Michel 18 1986 Sums of digits, overlaps, and palindromes. Zbl 1013.11004Allouche, Jean-Paul; Shallit, Jeffrey 17 2000 Periodic unique beta-expansions: the Sharkovskiĭ ordering. Zbl 1279.11009Allouche, Jean-Paul; Clarke, Matthew; Sidorov, Nikita 16 2009 Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms. Zbl 0918.11016Allouche, Jean-Paul; Zamboni, Luca Q. 16 1998 Sur la transcendance de la série formelle \(\Pi\) . (On the transcendence of formal power series \(\Pi\) ). Zbl 0709.11067Allouche, Jean-Paul 15 1990 A relative of the Thue-Morse sequence. Zbl 0839.11007Allouche, Jean-Paul; Arnold, André; Berstel, Jean; Brlek, Srećko; Jockusch, William; Plouffe, Simon; Sagan, Bruce E. 15 1995 Automatic Dirichlet series. Zbl 0971.11006Allouche, J.-P.; Mendès France, M.; Peyrière, J. 14 2000 Transcendence of formal power series with rational coefficients. Zbl 0916.68123Allouche, Jean-Paul 14 1999 Automatic maps in exotic numeration systems. Zbl 0870.68105Allouche, 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 0943.11020Allouche, J.-P.; von Haeseler, Fritz; Peitgen, H.-O.; Petersen, A.; Skordev, G. 13 1997 Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set. Zbl 1012.11007Allouche, J.-P.; Cosnard, M. 13 2001 Notes on cellular automata. Zbl 1103.68648Allouche, Jean-Paul; Courbage, Maurice; Skordev, Gencho 12 2001 Somme des chiffres et transcendance. Zbl 0508.10022Allouche, Jean-Paul 12 1982 Reversals and palindromes in continued fractions. Zbl 1118.68110Adamczewski, Boris; Allouche, Jean-Paul 12 2007 Note on a paper of Sharif and Woodcock. (Note sur un article de Sharif et Woodcock.) Zbl 0714.12006Allouche, Jean-Paul 11 1989 Mock characters and the Kronecker symbol. Zbl 1448.11062Allouche, Jean-Paul; Goldmakher, Leo 11 2018 Sur des points fixes de morphismes d’un monoïde libre. Zbl 0691.68065Allouche, J.-P.; Betrema, J.; Shallit, J. O. 11 1988 Transcendence of the Carlitz-Goss gamma function at rational arguments. Zbl 0862.11039Allouche, Jean-Paul 10 1996 Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012Allouche, Jean-Paul; Berthé, Valérie 10 1997 Extremal infinite overlap-free binary words. Zbl 0890.68107Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey 9 1998 Canonical positions for the factors in paperfolding sequences. Zbl 0820.11011Allouche, Jean-Paul; Bousquet-Mélou, Mireille 9 1994 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 1147.11015Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey 9 2006 Infinite products associated with counting blocks in binary strings. Zbl 0629.05004Allouche, J.-P.; Shallit, J. O. 9 1989 Toeplitz sequences, paperfolding, towers of Hanoi and progression-free sequences of integers. Zbl 0784.11008Allouche, Jean-Paul; Bacher, Roland 8 1992 Factors of generalized Rudin-Shapiro sequences. (Facteurs des suites de Rudin-Shapiro généralisées.) Zbl 0803.68096Allouche, Jean-Paul; Bousquet-Mélou, Mireille 8 1994 On univoque Pisot numbers. Zbl 1182.11051Allouche, Jean-Paul; Frougny, Christiane; Hare, Kevin G. 8 2007 An infinite product with bounded partial quotients. Zbl 0749.11014Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J. 7 1991 Infinite products with strongly \(B\)-multiplicative exponents. Zbl 1174.11006Allouche, J.-P.; Sondow, J. 7 2008 On the continued fraction expansion of some formal power series. (Sur le développement en fraction continue de certaines séries formelles.) Zbl 0657.10035Allouche, Jean-Paul 7 1988 De nouveaux curieux produits infinis. (On new curious infinite products). Zbl 0584.10024Allouche, J.-P.; Cohen, H.; Mendès France, Michel; Shallit, J. O. 7 1987 Suites infinies à répétitions bornées. Zbl 0548.68069Allouche, Jean-Paul 7 1984 On an extremal property of the Rudin-Shapiro sequence. Zbl 0561.10025Allouche, Jean-Paul; Mendès France, Michel 7 1985 Schrödinger operators with Rudin-Shapiro potentials are not palindromic. Zbl 0999.81018Allouche, J.-P. 7 1997 Vibrational modes in a one dimensional “quasi-alloy”: The Morse case. Zbl 0696.10050Axel, F.; Allouche, J. P.; Kleman, M.; Mendès-France, M.; Peyrière, J. 7 1986 Regular maps in generalized number systems. Zbl 0957.11014Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F. 7 2000 Schur congruences, Carlitz sequences of polynomials and automaticity. Zbl 0976.33005Allouche, J.-P.; Skordev, G. 7 2000 Generalized Beatty sequences and complementary triples. Zbl 1455.11042Allouche, Jean-Paul; Dekking, F. Michel 7 2019 New results on the transcendence of real numbers with nonrandom expansion. (Nouveaux résultats de transcendance de réels à développement non aléatoire.) Zbl 1388.11046Allouche, Jean-Paul 6 2000 Oscillations spatio-temporelles engendrées par un automate cellulaire. Zbl 0564.68039Allouche, Jean-Paul; Reder, Christine 6 1984 Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. Zbl 1395.11039Allouche, Jean-Paul 6 2015 Extremal properties of (epi)Sturmian sequences and distribution modulo 1. Zbl 1254.68192Allouche, Jean-Paul; Glen, Amy 6 2010 Polynomial subsequences of certain automatic sequences. (Sous-suites polynomiales de certaines suites automatiques.) Zbl 0795.11009Allouche, Jean-Paul; Salon, Olivier 6 1993 A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016Allouche, Jean-Paul; Shallit, Jeffrey 6 2012 Finite automata and morphisms in assisted musical composition. Zbl 1504.00008Allouche, Jean-Paul; Johnson, Tom 6 1995 Self-generating sets, integers with missing blocks, and substitutions. Zbl 1117.11020Allouche, J.-P.; Shallit, J.; Skordev, G. 5 2005 On integer sequences whose first iterates are linear. Zbl 1069.39026Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey 5 2005 Beyond odious and evil. Zbl 1415.11019Allouche, Jean-Paul; Cloitre, Benoit; Shevelev, V. 5 2016 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 0587.65033Allouche, Jean-Paul; Peyrière, Jacques 5 1986 Complexity of generalized Rudin-Shapiro sequences. (Complexité des suites de Rudin-Shapiro généralisées.) Zbl 0817.11014Allouche, J.-P.; Shallit, J. O. 5 1993 Univoque numbers and an avatar of Thue-Morse. Zbl 1168.11002Allouche, Jean-Paul; Frougny, Christiane 5 2009 Bounds on autocorrelation coefficients of Rudin-Shapiro polynomials. Zbl 1449.42001Allouche, J.-P.; Choi, S.; Denise, A.; Erdélyi, T.; Saffari, B. 5 2019 Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038Allouche, Jean-Paul; Thakur, Dinesh S. 5 1999 On a Golay-Shapiro-like sequence. Zbl 1445.11078Allouche, Jean-Paul 5 2016 The ring of \(k\)-regular sequences. Zbl 0742.11012Allouche, Jean-Paul; Shallit, Jeffrey 4 1990 Restricted Towers of Hanoi and morphisms. Zbl 1132.05306Allouche, Jean-Paul; Sapir, Amir 4 2005 Suite de Rudin-Shapiro et modèle d’Ising. (Rudin-Shapiro sequence and Ising model). Zbl 0592.10049Allouche, Jean-Paul; Mendès France, Michel 4 1985 Tours de Hanoï et automates. (Towers of Hanoi and automata). Zbl 0701.68036Allouche, J.-P.; Dress, François 4 1990 Finite automata in 1-D and 2-D physics. Zbl 0713.11019Allouche, J.-P. 4 1990 Summation of series defined by counting blocks of digits. Zbl 1131.11009Allouche, J.-P.; Shallit, J.; Sondow, J. 4 2007 Hadamard grade of power series. Zbl 1267.11025Allouche, J.-P.; Mendès France, M. 4 2011 Transcendence of binomial and Lucas’ formal power series. Zbl 0980.11030Allouche, J.-P.; Gouyou-Beauchamps, D.; Skordev, G. 4 1998 Note on the transcendence of a generating functions. Zbl 0932.11017Allouche, Jean-Paul 4 1997 More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002Allouche, J.-P.; Riasat, S.; Shallit, J. 4 2019 Pattern spectra, substring enumeration, and automatic sequences. Zbl 0753.11012Allouche, Jean-Paul; Morton, Patrick; Shallit, Jeffrey 3 1992 Automata, algebraicity and distribution of sequences of powers. Zbl 1068.11048Allouche, Jean-Paul; Deshouillers, Jean-Marc; Kamae, Teturo; Koyanagi, Tadahiro 3 2001 Sur la conjecture de ”Syracuse-Kakutani-Collatz”. Zbl 0422.10006Allouche, Jean-Paul 3 1979 Sums of digits and the Hurwitz zeta function. Zbl 0711.11003Allouche, Jean-Paul; Shallit, Jeffrey 3 1990 On the conjectures of Rauzy and Shallit for infinite words. Zbl 0859.11019Allouche, Jean-Paul; Bousquet-Mélou, Mireille 3 1995 Convergents of folded continued fractions. Zbl 0848.11004Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey 3 1996 Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028Allouche, Jean-Paul; Johnson, Tom 3 2018 Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald 3 2020 Automatic sequences are also non-uniformly morphic. Zbl 1485.68202Allouche, Jean-Paul; Shallit, Jeffrey 3 2020 A generalization of an identity due to Kimura and Ruehr. Zbl 1417.05016Allouche, J.-P. 3 2018 von Koch and Thue-Morse revisited. Zbl 1151.28007Allouche, J.-P.; Skordev, G. 2 2007 Spatio temporal oscillations of a cellular automaton in excitable media. Zbl 0519.92030Allouche, J. P.; Reder, C. 2 1983 Algebraic and analytic randomness. Zbl 1035.68089Allouche, Jean-Paul 2 2000 Entropy: An inequality. Zbl 0685.28010Allouche, J.-P.; Mendès France, M.; Tenenbaum, G. 2 1988 Arithmétique et automates finis. (Arithmetic and finite automata). Zbl 0619.10005Allouche, Jean-Paul 2 1987 Automatic maps on a semiring with digits. Zbl 0879.11010Allouche, Jean-Paul; Cateland, E.; Peitgen, Heinz-Otto; Skordev, Gencho; Shallit, Jeffrey 2 1995 Finite automata and arithmetic. Zbl 0903.11009Allouche, Jean-Paul 2 1993 Indépendance algébrique de certaines séries formelles. (Algebraic independence of certain formal power series). Zbl 0696.10031Allouche, J.-P.; Mendès-France, M.; van der Poorten, A. J. 2 1988 Note on the cyclic towers of Hanoi. Zbl 0801.68068Allouche, Jean-Paul 2 1994 How to prove that a sequence is not automatic. Zbl 1497.11063Allouche, J.-P.; Shallit, J.; Yassawi, R. 2 2022 Hidden automatic sequences. Zbl 07617375Allouche, Jean-Paul; Dekking, Michel; Queffélec, Martine 2 2021 On an inequality in a 1970 paper of R. L. Graham. Zbl 1500.11007Allouche, J.-P. 1 2021 Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald 3 2020 Automatic sequences are also non-uniformly morphic. Zbl 1485.68202Allouche, Jean-Paul; Shallit, Jeffrey 3 2020 Sum-free sets generated by the period-\(k\)-folding sequences and some Sturmian sequences. Zbl 1465.11078Allouche, Jean-Paul; Shallit, Jeffrey; Wen, Zhi-Xiong; Wu, Wen; Zhang, Jie-Meng 1 2020 Generalized Beatty sequences and complementary triples. Zbl 1455.11042Allouche, Jean-Paul; Dekking, F. Michel 7 2019 Bounds on autocorrelation coefficients of Rudin-Shapiro polynomials. Zbl 1449.42001Allouche, J.-P.; Choi, S.; Denise, A.; Erdélyi, T.; Saffari, B. 5 2019 More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002Allouche, J.-P.; Riasat, S.; Shallit, J. 4 2019 Two binomial identities of Ruehr revisited. Zbl 1409.11019Allouche, J.-P. 2 2019 Mock characters and the Kronecker symbol. Zbl 1448.11062Allouche, Jean-Paul; Goldmakher, Leo 11 2018 Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028Allouche, Jean-Paul; Johnson, Tom 3 2018 A generalization of an identity due to Kimura and Ruehr. Zbl 1417.05016Allouche, J.-P. 3 2018 Marcel Frémiot, determinism versus chaos, and the tower of Hanoi. Zbl 1427.00027Allouche, Jean-Paul 2 2018 Non-intersectivity of paperfolding dragon curves and of curves generated by automatic sequences. Zbl 1448.11063Allouche, J.-P.; Mendès France, M.; Skordev, G. 1 2018 Beyond odious and evil. Zbl 1415.11019Allouche, Jean-Paul; Cloitre, Benoit; Shevelev, V. 5 2016 On a Golay-Shapiro-like sequence. Zbl 1445.11078Allouche, Jean-Paul 5 2016 Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. Zbl 1395.11039Allouche, Jean-Paul 6 2015 Paperfolding infinite products and the gamma function. Zbl 1320.11023Allouche, J.-P. 2 2015 Book review of: Yann Bugeaud, Distribution modulo one and Diophantine approximation. Zbl 1301.00023Allouche, Jean-Paul 1 2014 Lacunary formal power series and the Stern-Brocot sequence. Zbl 1293.11046Allouche, Jean-Paul; Mendès France, Michel 1 2013 On a formula of T. Rivoal. Zbl 1289.11067Allouche, Jean-Paul 1 2013 A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016Allouche, Jean-Paul; Shallit, Jeffrey 6 2012 On the Stern sequence and its twisted version. Zbl 1283.11026Allouche, J.-P. 2 2012 Surveying some notions of complexity for finite and infinite sequences. Zbl 1271.68202Allouche, Jean-Paul 1 2012 Hadamard grade of power series. Zbl 1267.11025Allouche, J.-P.; Mendès France, M. 4 2011 Extremal properties of (epi)Sturmian sequences and distribution modulo 1. Zbl 1254.68192Allouche, Jean-Paul; Glen, Amy 6 2010 Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey 24 2009 Periodic unique beta-expansions: the Sharkovskiĭ ordering. Zbl 1279.11009Allouche, Jean-Paul; Clarke, Matthew; Sidorov, Nikita 16 2009 Univoque numbers and an avatar of Thue-Morse. Zbl 1168.11002Allouche, Jean-Paul; Frougny, Christiane 5 2009 Distribution modulo 1 and the lexicographic world. Zbl 1217.11068Allouche, Jean-Paul; Glen, Amy 1 2009 Infinite products with strongly \(B\)-multiplicative exponents. Zbl 1174.11006Allouche, J.-P.; Sondow, J. 7 2008 Euler, Pisot, Prouhet-Thue-Morse, Wallis and the duplication of sines. Zbl 1169.11005Allouche, J.-P.; Mendès France, M. 1 2008 A note on univoque self-Sturmian numbers. Zbl 1197.11029Allouche, Jean-Paul 1 2008 Reversals and palindromes in continued fractions. Zbl 1118.68110Adamczewski, Boris; Allouche, Jean-Paul 12 2007 On univoque Pisot numbers. Zbl 1182.11051Allouche, Jean-Paul; Frougny, Christiane; Hare, Kevin G. 8 2007 Summation of series defined by counting blocks of digits. Zbl 1131.11009Allouche, J.-P.; Shallit, J.; Sondow, J. 4 2007 von Koch and Thue-Morse revisited. Zbl 1151.28007Allouche, J.-P.; Skordev, G. 2 2007 Note on an integral of Ramanujan. Zbl 1119.33002Allouche, 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 1147.11015Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey 9 2006 Applied combinatorics on words. A collective work by Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche and Valérie Berthé. With a preface by Berstel and Perrin. Zbl 1133.68067Lothaire, M. 136 2005 Self-generating sets, integers with missing blocks, and substitutions. Zbl 1117.11020Allouche, J.-P.; Shallit, J.; Skordev, G. 5 2005 On integer sequences whose first iterates are linear. Zbl 1069.39026Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey 5 2005 Restricted Towers of Hanoi and morphisms. Zbl 1132.05306Allouche, Jean-Paul; Sapir, Amir 4 2005 Automata and algebraicity. (Automates et algébricités.) Zbl 1119.11020Allouche, Jean-Paul 1 2005 Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015Allouche, Jean-Paul; Shallit, Jeffrey 604 2003 Palindrome complexity. Zbl 1064.68074Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David 68 2003 The ring of \(k\)-regular sequences. II. Zbl 1058.68066Allouche, Jean-Paul; Shallit, Jeffrey 48 2003 Remarks on permutive cellular automata. Zbl 1055.68076Allouche, J.-P.; Skordev, G. 1 2003 Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q. 40 2001 Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set. Zbl 1012.11007Allouche, J.-P.; Cosnard, M. 13 2001 Notes on cellular automata. Zbl 1103.68648Allouche, Jean-Paul; Courbage, Maurice; Skordev, Gencho 12 2001 Automata, algebraicity and distribution of sequences of powers. Zbl 1068.11048Allouche, Jean-Paul; Deshouillers, Jean-Marc; Kamae, Teturo; Koyanagi, Tadahiro 3 2001 The Komornik-Loreti constant is transcendental. Zbl 0997.11052Allouche, Jean-Paul; Cosnard, Michel 22 2000 Sums of digits, overlaps, and palindromes. Zbl 1013.11004Allouche, Jean-Paul; Shallit, Jeffrey 17 2000 Automatic Dirichlet series. Zbl 0971.11006Allouche, J.-P.; Mendès France, M.; Peyrière, J. 14 2000 Regular maps in generalized number systems. Zbl 0957.11014Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F. 7 2000 Schur congruences, Carlitz sequences of polynomials and automaticity. Zbl 0976.33005Allouche, J.-P.; Skordev, G. 7 2000 New results on the transcendence of real numbers with nonrandom expansion. (Nouveaux résultats de transcendance de réels à développement non aléatoire.) Zbl 1388.11046Allouche, Jean-Paul 6 2000 Algebraic and analytic randomness. Zbl 1035.68089Allouche, Jean-Paul 2 2000 The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005Allouche, Jean-Paul; Shallit, Jeffrey 143 1999 Transcendence of formal power series with rational coefficients. Zbl 0916.68123Allouche, Jean-Paul 14 1999 Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038Allouche, Jean-Paul; Thakur, Dinesh S. 5 1999 Hankel determinants of the Thue-Morse sequence. Zbl 0974.11010Allouche, Jean-Paul; Peyrière, Jacques; Wen, Zhi-Xiong; Wen, Zhi-Ying 28 1998 Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms. Zbl 0918.11016Allouche, Jean-Paul; Zamboni, Luca Q. 16 1998 Extremal infinite overlap-free binary words. Zbl 0890.68107Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey 9 1998 Transcendence of binomial and Lucas’ formal power series. Zbl 0980.11030Allouche, J.-P.; Gouyou-Beauchamps, D.; Skordev, G. 4 1998 Generalized perturbed symmetry. Zbl 0918.11015Allouche, Jean-Paul; Shallit, Jeffrey 2 1998 Automatic maps in exotic numeration systems. Zbl 0870.68105Allouche, 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 0943.11020Allouche, J.-P.; von Haeseler, Fritz; Peitgen, H.-O.; Petersen, A.; Skordev, G. 13 1997 Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012Allouche, Jean-Paul; Berthé, Valérie 10 1997 Schrödinger operators with Rudin-Shapiro potentials are not palindromic. Zbl 0999.81018Allouche, J.-P. 7 1997 Note on the transcendence of a generating functions. Zbl 0932.11017Allouche, Jean-Paul 4 1997 Linear cellular automata, finite automata and Pascal’s triangle. Zbl 0854.68065Allouche, Jean-Paul; von Haeseler, Fritz; Peitgen, Heinz-Otto; Skordev, Gencho 19 1996 Transcendence of the Carlitz-Goss gamma function at rational arguments. Zbl 0862.11039Allouche, Jean-Paul 10 1996 Convergents of folded continued fractions. Zbl 0848.11004Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey 3 1996 Note on the constructible sets of a topological space. Zbl 0899.54026Allouche, Jean-Paul 1 1996 Automata and automatic sequences. Zbl 0881.11026Allouche, Jean-Paul; Mendès France, M. 21 1995 A relative of the Thue-Morse sequence. Zbl 0839.11007Allouche, Jean-Paul; Arnold, André; Berstel, Jean; Brlek, Srećko; Jockusch, William; Plouffe, Simon; Sagan, Bruce E. 15 1995 Finite automata and morphisms in assisted musical composition. Zbl 1504.00008Allouche, Jean-Paul; Johnson, Tom 6 1995 On the conjectures of Rauzy and Shallit for infinite words. Zbl 0859.11019Allouche, Jean-Paul; Bousquet-Mélou, Mireille 3 1995 Automatic maps on a semiring with digits. Zbl 0879.11010Allouche, 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 0803.68094Allouche, Jean-Paul 38 1994 Canonical positions for the factors in paperfolding sequences. Zbl 0820.11011Allouche, Jean-Paul; Bousquet-Mélou, Mireille 9 1994 Factors of generalized Rudin-Shapiro sequences. (Facteurs des suites de Rudin-Shapiro généralisées.) Zbl 0803.68096Allouche, Jean-Paul; Bousquet-Mélou, Mireille 8 1994 Note on the cyclic towers of Hanoi. Zbl 0801.68068Allouche, Jean-Paul 2 1994 Polynomial subsequences of certain automatic sequences. (Sous-suites polynomiales de certaines suites automatiques.) Zbl 0795.11009Allouche, Jean-Paul; Salon, Olivier 6 1993 Complexity of generalized Rudin-Shapiro sequences. (Complexité des suites de Rudin-Shapiro généralisées.) Zbl 0817.11014Allouche, J.-P.; Shallit, J. O. 5 1993 Finite automata and arithmetic. Zbl 0903.11009Allouche, Jean-Paul 2 1993 The ring of \(k\)-regular sequences. Zbl 0774.68072Allouche, Jean-Paul; Shallit, Jeffrey 131 1992 The number of factors in paperfolding sequence. Zbl 0753.11011Allouche, Jean-Paul 19 1992 Toeplitz sequences, paperfolding, towers of Hanoi and progression-free sequences of integers. Zbl 0784.11008Allouche, Jean-Paul; Bacher, Roland 8 1992 Pattern spectra, substring enumeration, and automatic sequences. Zbl 0753.11012Allouche, Jean-Paul; Morton, Patrick; Shallit, Jeffrey 3 1992 Generalized Rudin-Shapiro sequences. Zbl 0763.11010Allouche, Jean-Paul; Liardet, Pierre 22 1991 An infinite product with bounded partial quotients. Zbl 0749.11014Allouche, 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 0709.11067Allouche, Jean-Paul 15 1990 The ring of \(k\)-regular sequences. Zbl 0742.11012Allouche, Jean-Paul; Shallit, Jeffrey 4 1990 Tours de Hanoï et automates. (Towers of Hanoi and automata). Zbl 0701.68036Allouche, J.-P.; Dress, François 4 1990 Finite automata in 1-D and 2-D physics. Zbl 0713.11019Allouche, J.-P. 4 1990 Sums of digits and the Hurwitz zeta function. Zbl 0711.11003Allouche, Jean-Paul; Shallit, Jeffrey 3 1990 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,096 Authors 68 Shallit, Jeffrey Outlaw 63 Allouche, Jean-Paul Simon 28 Bell, Jason P. 27 Rigo, Michel 26 Rampersad, Narad 25 Bugeaud, Yann 24 Coons, Michael 22 Wen, Zhixiong 22 Zamboni, Luca Quardo 21 Adamczewski, Boris 18 Mauduit, Christian 16 Frid, Anna Èduardovna 16 Stipulanti, Manon 15 Kong, Derong 14 Cassaigne, Julien 14 Dekking, Frederik Michel 14 Grytczuk, Jarosław 14 Pelantová, Edita 14 Puzynina, Svetlana 14 Skordev, Gencho S. 14 Spiegelhofer, Lukas 14 von Haeseler, Fritz 13 Barbé, André M. 13 Charlier, Emilie 12 Drmota, Michael 12 Han, Guo-Niu 12 Mendès France, Michel 12 Wu, Wen 11 Currie, James D. 11 Rowland, Eric S. 11 Yao, Jiayan 10 Glen, Amy 10 Hare, Kevin G. 10 Peitgen, Heinz-Otto 9 Konieczny, Jakub 9 Moshe, Yossi 9 Stoll, Thomas 9 Wen, Zhiying 8 Chen, Jin 8 Dumas, Philippe 8 Guo, Yingjun 8 Honkala, Juha 8 Karhumaki, Juhani 8 Leroy, Julien 8 Müllner, Clemens 8 Reutenauer, Christophe 8 Salo, Ville O. 8 Thuswaldner, Jörg Maximilian 8 Ulas, Maciej 7 Baake, Michael 7 Deshouillers, Jean-Marc 7 Fici, Gabriele 7 Grimm, Uwe 7 Hu, Yining 7 Kamae, Teturo 7 Kärki, Tomi 7 Masáková, Zuzana 7 Mkaouar, Mohamed 7 Richomme, Gwénaël 7 Rivat, Joël 7 Scheicher, Klaus 7 Starosta, Štěpán 6 Allaart, Pieter C. 6 Aloui, Karam 6 Baker, Simon 6 Berthé, Valérie 6 Blanchet-Sadri, Francine 6 Brlek, Srečko 6 Damanik, David 6 de Luca, Aldo 6 Dubickas, Artūras 6 Flajolet, Philippe 6 Frougny, Christiane 6 Le Gonidec, Marion 6 Li, Yaoqiang 6 Lü, Xiaotao 6 Saari, Kalle 6 Schaeffer, Luke 6 Séébold, Patrice 6 Vuillon, Laurent 6 Wen, Zhi-Ying 6 Yassawi, Reem 5 Bucci, Michelangelo 5 Harju, Tero 5 Justin, Jacques 5 Kim, Donghan 5 Krieger, Dalia 5 Kwon, DoYong 5 Lasjaunias, Alain 5 Lenz, Daniel H. 5 Li, Wenxia 5 Mignosi, Filippo 5 Mól, Lucas A. S. 5 Peyrière, Jacques 5 Rutten, Jan J. M. M. 5 Rytter, Wojciech 5 Sidorov, Nikita A. 5 Tan, Bo 5 Thakur, Dinesh S. 5 Winterhof, Arne ...and 996 more Authors all top 5 Cited in 209 Serials 164 Theoretical Computer Science 52 Journal of Number Theory 40 Journal de Théorie des Nombres de Bordeaux 38 Advances in Applied Mathematics 36 Discrete Mathematics 29 Discrete Applied Mathematics 26 The Electronic Journal of Combinatorics 22 Annales de l’Institut Fourier 22 European Journal of Combinatorics 22 International Journal of Foundations of Computer Science 21 RAIRO. Theoretical Informatics and Applications 20 Integers 18 Ergodic Theory and Dynamical Systems 16 Journal of Combinatorial Theory. Series A 16 Proceedings of the American Mathematical Society 16 RAIRO. Theoretical Informatics and Applications 15 Journal of Integer Sequences 15 Comptes Rendus. Mathématique. 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Informatique Théorique et Applications 3 The Australasian Journal of Combinatorics 3 Journal of Mathematical Sciences (New York) 3 Theory of Computing Systems 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 Moscow Journal of Combinatorics and Number Theory 3 Actes des Rencontres du C.I.R.M. 2 Periodica Mathematica Hungarica 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 The Fibonacci Quarterly 2 Functiones et Approximatio. Commentarii Mathematici 2 Geometriae Dedicata 2 International Journal of Mathematics and Mathematical Sciences 2 Inventiones Mathematicae 2 Journal of Approximation Theory 2 Journal of Computer and System Sciences 2 Journal of the Korean Mathematical Society 2 Notre Dame Journal of Formal Logic 2 Annals of Pure and Applied Logic 2 Graphs and Combinatorics 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 Journal of Difference Equations and Applications ...and 109 more Serials all top 5 Cited in 54 Fields 661 Number theory (11-XX) 616 Computer science (68-XX) 161 Dynamical systems and ergodic theory (37-XX) 158 Combinatorics (05-XX) 69 Measure and integration (28-XX) 29 Group theory and generalizations (20-XX) 28 Mathematical logic and foundations (03-XX) 22 Functions of a complex variable (30-XX) 22 Probability theory and stochastic processes (60-XX) 22 Statistical mechanics, structure of matter (82-XX) 19 Real functions (26-XX) 18 Commutative algebra (13-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Information and communication theory, circuits (94-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Convex and discrete geometry (52-XX) 14 Special functions (33-XX) 14 Difference and functional equations (39-XX) 13 General and overarching topics; collections (00-XX) 13 Operator theory (47-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Field theory and polynomials (12-XX) 10 Associative rings and algebras (16-XX) 9 Approximations and expansions (41-XX) 9 Quantum theory (81-XX) 8 Algebraic geometry (14-XX) 6 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 6 Biology and other natural sciences (92-XX) 5 Operations research, mathematical programming (90-XX) 4 History and biography (01-XX) 4 Sequences, series, summability (40-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 3 General algebraic systems (08-XX) 3 Partial differential equations (35-XX) 3 General topology (54-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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