Edit Profile (opens in new tab) Berthé, Valérie Compute Distance To: Compute Author ID: berthe.valerie Published as: Berthé, Valérie; Berthé, V.; Berthé, Valerie; Berthe, Valerie; Berthe, Valérie more...less Homepage: https://www.irif.fr/~berthe/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Member of Collectives: Fogg, N. Pytheas; Lothaire, M. Documents Indexed: 98 Publications since 1992 10 Contributions as Editor · 1 Further Contribution Reviewing Activity: 87 Reviews Co-Authors: 89 Co-Authors with 90 Joint Publications 1,794 Co-Co-Authors all top 5 Co-Authors 19 single-authored 13 Siegel, Anne 10 Perrin, Dominique 9 Rigo, Michel 8 Dolce, Francesco 8 Leroy, Julien 8 Reutenauer, Christophe 8 Vallée, Brigitte 7 Rindone, Giuseppina 7 Thuswaldner, Jörg Maximilian 6 Arnoux, Pierre 6 Steiner, Wolfgang 5 De Felice, Clelia 5 Jolivet, Timo 5 Nakada, Hitoshi 4 Delecroix, Vincent 4 Jamet, Damien 4 Labbé, Sébastien 4 Lhote, Loïck 4 Natsui, Rie 3 Cesaratto, Eda 3 Ferenczi, Sébastien 3 Fernique, Thomas 3 Ito, Shunji 3 Provençal, Xavier 3 Rotondo, Pablo 3 Vuillon, Laurent 2 Akiyama, Shigeki 2 Allouche, Jean-Paul Simon 2 Barat, Guy 2 Bourdon, Jérémie 2 Brlek, Srečko 2 Cecchi Bernales, Paulina 2 Choquette, Philippe 2 Durand, Fabien 2 Ei, Hiromi 2 Safe, Martín Darío 2 Shallit, Jeffrey O. 2 Tijdeman, Robert 2 Zamboni, Luca Quardo 1 Alessandri, Pascal 1 Barge, Marcy M. 1 Berstel, Jean 1 Besse, Philippe C. 1 Beukers, Frits 1 Bryyère, Véronique 1 Cassaigne, Julien 1 Chekhova, Nataliya 1 Clark, Alex 1 Creusefond, Jean 1 Crochemore, Maxime 1 Damanik, David 1 de Luca, Aldo 1 Dehornoy, Patrick 1 Domenjoud, Eric 1 Felice, Clelia 1 Fiorio, Christophe 1 Fogg, N. Pytheas 1 Fokkink, Robbert Johan 1 Frettlöh, Dirk 1 Frougny, Christiane 1 Hilion, Arnaud 1 Holton, Charles G. 1 Imbert, Laurent 1 Jacquet, Philippe 1 Karhumaki, Juhani 1 Kim, Donghan 1 Kolpakov, Roman M. 1 Koucherov, Gregory 1 Kraaikamp, Cor 1 Lacasse, Annie 1 Laporte, Éric 1 Lebœuf, Patricio 1 Lecomte, Pierre B. A. 1 Lee, Jeong-Yup 1 Lenz, Daniel H. 1 Liardet, Pierre 1 Lothaire, M. 1 Masáková, Zuzana 1 Massot, Marc 1 Mauduit, Christian 1 Métivier, Guy 1 Minervino, Milton 1 Mohri, Mehryar 1 Nouvel, Bertrand 1 Nowotka, Dirk 1 Paccaut, Frédéric 1 Paquin, Geneviève 1 Patras, Frédéric 1 Pelantová, Edita 1 Petite, Samuel 1 Pisanti, Nadia 1 Poulalhon, Dominique 1 Rao, Hui 1 Reinert, Gesine D. 1 Sablik, Mathieu 1 Sagot, Marie-France 1 Sakarovitch, Jacques 1 Schaeffer, Gilles 1 Schbath, Sophie 1 Sirvent, Víctor F. ...and 5 more Co-Authors all top 5 Serials 12 Theoretical Computer Science 4 Annales de l’Institut Fourier 4 Monatshefte für Mathematik 3 Discrete Mathematics 3 Acta Arithmetica 3 Advances in Applied Mathematics 3 Ergodic Theory and Dynamical Systems 3 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Integers 3 Encyclopedia of Mathematics and Its Applications 3 RIMS Kôkyûroku Bessatsu 2 Journal of Number Theory 2 Journal of Pure and Applied Algebra 2 European Journal of Combinatorics 2 Journal of Symbolic Computation 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Finite Fields and their Applications 2 RAIRO. Theoretical Informatics and Applications 2 Oberwolfach Reports 1 Journal d’Analyse Mathématique 1 Mathematics of Computation 1 Advances in Mathematics 1 Computing 1 Topology and its Applications 1 International Journal of Algebra and Computation 1 International Journal of Foundations of Computer Science 1 L’Enseignement Mathématique. 2e Série 1 Journal of Physics A: Mathematical and General 1 Expositiones Mathematicae 1 Congressus Numerantium 1 Theory of Computing Systems 1 Journal of Automata, Languages and Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Integer Sequences 1 Lecture Notes in Mathematics 1 Uniform Distribution Theory 1 Matapli 1 RAIRO. Theoretical Informatics and Applications 1 Actes des Rencontres du C.I.R.M. 1 Trends in Mathematics all top 5 Fields 77 Computer science (68-XX) 66 Number theory (11-XX) 49 Dynamical systems and ergodic theory (37-XX) 19 Combinatorics (05-XX) 16 Convex and discrete geometry (52-XX) 11 General and overarching topics; collections (00-XX) 9 Measure and integration (28-XX) 7 Group theory and generalizations (20-XX) 5 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 2 History and biography (01-XX) 2 Probability theory and stochastic processes (60-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,193 times in 722 Documents Cited by ▼ Year ▼ Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015 303 2002 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. 114 2005 Three distance theorems and combinatorics on words. Zbl 0997.11051Alessandri, Pascal; Berthé, Valérie 50 1998 Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences. Zbl 0970.68124Berthé, Valérie; Vuillon, Laurent 46 2000 Combinatorics, automata, and number theory. Zbl 1197.68006 36 2010 Tilings associated with beta-numeration and substitutions. Zbl 1139.37008Berthé, Valérie; Siegel, Anne 35 2005 On the Pisot substitution conjecture. Zbl 1376.37043Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A. 33 2015 Beyond substitutive dynamical systems: \(S\)-adic expansions. Zbl 1376.37033Berthé, Valérie; Delecroix, Vincent 32 2014 Dynamical directions in numeration. Zbl 1138.37005Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg 31 2006 Initial powers of Sturmian sequences. Zbl 1117.37005Berthé, Valérie; Holton, Charles; Zamboni, Luca Q. 31 2006 On an involution of Christoffel words and Sturmian morphisms. Zbl 1213.68476Berthé, Valérie; de Luca, Aldo; Reutenauer, Christophe 30 2008 Frequencies of factors of Sturmian sequences. (Fréquences des facteurs des suites sturmiennes.) Zbl 0872.11018Berthé, Valérie 27 1996 Acyclic, connected and tree sets. Zbl 1309.68160Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 26 2015 Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions. Zbl 1017.11006Arnoux, Pierre; Berthé, Valérie; Ito, Shunji 24 2002 On continued fraction expansions in positive characteristic: equivalence relations and some metric properties. Zbl 1024.11050Berthé, Valérie; Nakada, Hitoshi 23 2000 Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly. Zbl 1156.37301Berthé, Valérie; Ferenczi, Sébastien; Zamboni, Luca Q. 18 2005 Maximal bifix decoding. Zbl 1309.68159Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 18 2015 Balance properties of multi-dimensional words. Zbl 0997.68091Berthé, Valérie; Tijdeman, Robert 16 2002 Palindromes and two-dimensional Sturmian sequences. Zbl 1002.11026Berthé, Valérie; Vuillon, Laurent 16 2001 Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne 16 2008 Tilings, quasicrystals, discrete planes, generalized substitutions, and multidimensional continued fractions. Zbl 1017.68147Arnoux, Pierre; Berthé, Valérie; Ei, Hiromi; Ito, Shunji 15 2001 Substitutions, Rauzy fractals and tilings. Zbl 1247.37015Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg 15 2010 On substitution invariant Sturmian words: an application of Rauzy fractals. Zbl 1140.11014Berthé, Valérie; Ei, Hiromi; Ito, Shunji; Rao, Hui 14 2007 Two-dimensional iterated morphisms and discrete planes. Zbl 1068.37004Arnoux, Pierre; Berthé, Valérie; Siegel, Anne 13 2004 Functional stepped surfaces, flips, and generalized substitutions. Zbl 1119.68136Arnoux, Pierre; Berthé, Valérie; Fernique, Thomas; Jamet, Damien 13 2007 On the numeration system of Ostrowski. (Autour dy système de numération d’Ostrowski.) Zbl 0994.68100Berthé, Valérie 13 2001 Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm. Zbl 1310.68170Berthé, V.; Labbé, S. 13 2015 Recognizability for sequences of morphisms. Zbl 1476.37022Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem 12 2019 Bifix codes and interval exchanges. Zbl 1357.68152Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 12 2015 Purely periodic \(\beta \)-expansions in the Pisot non-unit case. Zbl 1197.11139Berthé, Valerie; Siegel, Anne 11 2007 The finite index basis property. Zbl 1357.68115Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 11 2015 Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne 10 2006 Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012Allouche, Jean-Paul; Berthé, Valérie 10 1997 Sequences of low complexity: Automatic and Sturmian sequences. Zbl 0976.11014Berthé, Valérie 10 2000 Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 10 2019 Double sequences of low complexity. (Suites doubles de basse complexité.) Zbl 1018.37010Berthé, Valérie; Vuillon, Laurent 9 2000 Fractal tiles associated with shift radix systems. Zbl 1221.11018Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M. 9 2011 Brun expansions of stepped surfaces. Zbl 1236.11011Berthé, Valérie; Fernique, Thomas 9 2011 Rigidity and substitutive dendric words. Zbl 1448.68365Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D. 7 2018 A combinatorial approach to products of Pisot substitutions. Zbl 1378.37036Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne 7 2016 Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014Berthé, Valerie 7 2011 Covering numbers: Arithmetics and dynamics for rotations and interval exchanges. Zbl 0996.37006Berthé, Valérie; Chekhova, Nataliya; Ferenczi, Sébastien 6 1999 Lattices and multi-dimensional words. Zbl 1068.37005Berthé, Valérie; Tijdeman, Robert 6 2004 Smooth words over arbitrary alphabets. Zbl 1077.68082Berthé, Valérie; Brlek, Srečko; Choquette, Philippe 6 2005 Complexity and linear cellular automata. (Complexité et automates cellulaires linéaires.) Zbl 0988.68116Berthé, Valérie 5 2000 Abstract numeration systems and tilings. Zbl 1156.68443Berthé, Valérie; Rigo, Michel 5 2005 Sturm numbers and substitution invariance of 3iet words. Zbl 1202.11021Arnoux, Pierre; Berthé, Valérie; Masáková, Zuzana; Pelantová, Edita 5 2008 Balancedness and coboundaries in symbolic systems. Zbl 1423.68366Berthé, Valérie; Cecchi Bernales, Paulina 5 2019 Generating discrete planes with substitutions. Zbl 1400.11075Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne 5 2013 Probabilistic analyses of the plain multiple gcd algorithm. Zbl 1346.68308Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte 5 2016 Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004Berthé, Valérie; Jolivet, Timo; Siegel, Anne 5 2012 Balance properties of Arnoux-Rauzy words. Zbl 1269.68073Berthé, Valérie; Cassaigne, Julien; Steiner, Wolfgang 5 2013 Sequences, groups, and number theory. Zbl 1394.05002 5 2018 An arithmetic and combinatorial approach to three-dimensional discrete lines. Zbl 1272.52019Berthé, Valérie; Labbé, Sébastien 5 2011 Automates et valeurs de transcendance du logarithme de Carlitz. (Automata and transcendental values of the Carlitz logarithm). Zbl 0784.11024Berthé, Valérie 4 1994 Carlitz \(\zeta\)-function and automata. (Fonction \(\zeta\) de Carlitz et automates.) Zbl 0784.11025Berthé, Valérie 4 1993 Odometers on regular languages. Zbl 1107.68046Berthé, Valérie; Rigo, Michel 4 2007 On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts. Zbl 1469.37012Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S. 4 2021 Diophantine approximation, Ostrowski numeration and the double-base number system. Zbl 1221.11017Berthé, Valérie; Imbert, Laurent 4 2009 Specular sets. Zbl 1383.68066Berthé, Valérie; De Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 4 2017 Critical connectedness of thin arithmetical discrete planes. Zbl 1382.68246Berthé, Valérie; Jamet, Damien; Jolivet, Timo; Provençal, Xavier 4 2013 On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 4 2021 Some constructions for the higher-dimensional three-distance theorem. Zbl 1434.11127Berthé, Valérie; Kim, Dong Han 3 2018 Discrete rotations and symbolic dynamics. Zbl 1115.68119Berthé, Valérie; Nouvel, Bertrand 3 2007 The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg 3 2016 Linear combinations of \(\zeta(s)/ \Pi^ s\) over \(F_ q(x)\) for \(1\leq s\leq q-2\). (Combinaisons linéaires de \(\zeta(s)/ \Pi^ s\) sur \(F_ q(x)\), pour \(1\leq s\leq q-2\).) Zbl 0853.11062Berthé, Valérie 3 1995 Conditional entropy of some automatic sequences. Zbl 0846.11019Berthé, Valérie 3 1994 Return words of linear involutions and fundamental groups. Zbl 1375.37033Berthé, Valérie; Delecroix, Vincent; Dolce, Francesco; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 3 2017 Specular sets. Zbl 1330.68231Berthé, Valérie; Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 3 2015 Uniformly balanced words with linear complexity and prescribed letter frequencies. Zbl 1331.68161Berthé, Valérie; Labbé, Sébastien 3 2011 Connectedness of fractals associated with Arnoux-Rauzy substitutions. Zbl 1326.37007Berthé, Valérie; Jolivet, Timo; Siegel, Anne 3 2014 Fine costs for Euclid’s algorithm on polynomials and Farey maps. Zbl 1285.11102Berthé, Valérie; Nakada, Hitoshi; Natsui, Rie; Vallée, Brigitte 3 2014 Arithmetic discrete planes are quasicrystals. Zbl 1261.52013Berthé, Valérie 3 2009 New “automatic” proofs for the transcendence of the Carlitz zeta function. (De nouvelles preuves “automatiques” de transcendance pour la fonction zeta de Carlitz.) Zbl 0788.11020Berthé, Valérie 2 1992 Preliminaries [to: Combinatorics, words and symbolic dynamics]. Zbl 1404.11003Berthé, Valérie; Rigo, Michel 2 2016 Fully subtractive algorithm, Tribonacci numeration and connectedness of discrete planes. Zbl 1352.11013Berthé, Valérie; Domenjoud, Éric; Jamet, Damien; Provençal, Xavier 2 2014 Combinatorics, words and symbolic dynamics. Zbl 1370.05003 2 2016 The Brun gcd algorithm in high dimensions is almost always subtractive. Zbl 1427.11143Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte 2 2018 The carry propagation of the successor function. Zbl 1484.11012Berthé, Valérie; Frougny, Christiane; Rigo, Michel; Sakarovitch, Jacques 1 2020 Entropy in deterministic and random systems. Zbl 0884.28014Berthé, V. 1 1995 Multiple GCDs. Probabilistic analysis of the plain algorithm. Zbl 1360.68972Berthé, Valérie; Creusefond, Jean; Lhote, Loïck; Vallée, Brigitte 1 2013 Analysis of the Brun GCD algorithm. Zbl 1364.11162Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte 1 2016 Discrete geometry and symbolic dynamics. Zbl 1204.37011Berthé, Valérie 1 2009 Convergence and factor complexity for the Arnoux-Rauzy-Poincaré algorithm. Zbl 1400.11018Berthé, Valérie; Labbé, Sebastien 1 2013 \(S\)-adic expansions related to continued fractions. Zbl 1372.37024Berthé, Valérie 1 2016 Mini-workshop: Combinatorics on words. Abstracts from the mini-workshop held August 22nd – August 28th, 2010. Zbl 1209.00036 1 2010 Selfdual substitutions in dimension one. Zbl 1252.68164Berthé, Valérie; Frettlöh, Dirk; Sirvent, Victor 1 2012 On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts. Zbl 1469.37012Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S. 4 2021 On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 4 2021 The carry propagation of the successor function. Zbl 1484.11012Berthé, Valérie; Frougny, Christiane; Rigo, Michel; Sakarovitch, Jacques 1 2020 Recognizability for sequences of morphisms. Zbl 1476.37022Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem 12 2019 Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 10 2019 Balancedness and coboundaries in symbolic systems. Zbl 1423.68366Berthé, Valérie; Cecchi Bernales, Paulina 5 2019 Rigidity and substitutive dendric words. Zbl 1448.68365Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D. 7 2018 Sequences, groups, and number theory. Zbl 1394.05002 5 2018 Some constructions for the higher-dimensional three-distance theorem. Zbl 1434.11127Berthé, Valérie; Kim, Dong Han 3 2018 The Brun gcd algorithm in high dimensions is almost always subtractive. Zbl 1427.11143Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte 2 2018 Specular sets. Zbl 1383.68066Berthé, Valérie; De Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 4 2017 Return words of linear involutions and fundamental groups. Zbl 1375.37033Berthé, Valérie; Delecroix, Vincent; Dolce, Francesco; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 3 2017 A combinatorial approach to products of Pisot substitutions. Zbl 1378.37036Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne 7 2016 Probabilistic analyses of the plain multiple gcd algorithm. Zbl 1346.68308Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte 5 2016 The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg 3 2016 Preliminaries [to: Combinatorics, words and symbolic dynamics]. Zbl 1404.11003Berthé, Valérie; Rigo, Michel 2 2016 Combinatorics, words and symbolic dynamics. Zbl 1370.05003 2 2016 Analysis of the Brun GCD algorithm. Zbl 1364.11162Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte 1 2016 \(S\)-adic expansions related to continued fractions. Zbl 1372.37024Berthé, Valérie 1 2016 On the Pisot substitution conjecture. Zbl 1376.37043Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A. 33 2015 Acyclic, connected and tree sets. Zbl 1309.68160Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 26 2015 Maximal bifix decoding. Zbl 1309.68159Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 18 2015 Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm. Zbl 1310.68170Berthé, V.; Labbé, S. 13 2015 Bifix codes and interval exchanges. Zbl 1357.68152Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 12 2015 The finite index basis property. Zbl 1357.68115Berthé, Valérie; De Felice, Clelia; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 11 2015 Specular sets. Zbl 1330.68231Berthé, Valérie; Felice, Clelia; Delecroix, Vincent; Dolce, Francesco; Leroy, Julien; Perrin, Dominique; Reutenauer, Christophe; Rindone, Giuseppina 3 2015 Beyond substitutive dynamical systems: \(S\)-adic expansions. Zbl 1376.37033Berthé, Valérie; Delecroix, Vincent 32 2014 Connectedness of fractals associated with Arnoux-Rauzy substitutions. Zbl 1326.37007Berthé, Valérie; Jolivet, Timo; Siegel, Anne 3 2014 Fine costs for Euclid’s algorithm on polynomials and Farey maps. Zbl 1285.11102Berthé, Valérie; Nakada, Hitoshi; Natsui, Rie; Vallée, Brigitte 3 2014 Fully subtractive algorithm, Tribonacci numeration and connectedness of discrete planes. Zbl 1352.11013Berthé, Valérie; Domenjoud, Éric; Jamet, Damien; Provençal, Xavier 2 2014 Generating discrete planes with substitutions. Zbl 1400.11075Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne 5 2013 Balance properties of Arnoux-Rauzy words. Zbl 1269.68073Berthé, Valérie; Cassaigne, Julien; Steiner, Wolfgang 5 2013 Critical connectedness of thin arithmetical discrete planes. Zbl 1382.68246Berthé, Valérie; Jamet, Damien; Jolivet, Timo; Provençal, Xavier 4 2013 Multiple GCDs. Probabilistic analysis of the plain algorithm. Zbl 1360.68972Berthé, Valérie; Creusefond, Jean; Lhote, Loïck; Vallée, Brigitte 1 2013 Convergence and factor complexity for the Arnoux-Rauzy-Poincaré algorithm. Zbl 1400.11018Berthé, Valérie; Labbé, Sebastien 1 2013 Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004Berthé, Valérie; Jolivet, Timo; Siegel, Anne 5 2012 Selfdual substitutions in dimension one. Zbl 1252.68164Berthé, Valérie; Frettlöh, Dirk; Sirvent, Victor 1 2012 Fractal tiles associated with shift radix systems. Zbl 1221.11018Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M. 9 2011 Brun expansions of stepped surfaces. Zbl 1236.11011Berthé, Valérie; Fernique, Thomas 9 2011 Multidimensional Euclidean algorithms, numeration and substitutions. Zbl 1273.11014Berthé, Valerie 7 2011 An arithmetic and combinatorial approach to three-dimensional discrete lines. Zbl 1272.52019Berthé, Valérie; Labbé, Sébastien 5 2011 Uniformly balanced words with linear complexity and prescribed letter frequencies. Zbl 1331.68161Berthé, Valérie; Labbé, Sébastien 3 2011 Combinatorics, automata, and number theory. Zbl 1197.68006 36 2010 Substitutions, Rauzy fractals and tilings. Zbl 1247.37015Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg 15 2010 Mini-workshop: Combinatorics on words. Abstracts from the mini-workshop held August 22nd – August 28th, 2010. Zbl 1209.00036 1 2010 Diophantine approximation, Ostrowski numeration and the double-base number system. Zbl 1221.11017Berthé, Valérie; Imbert, Laurent 4 2009 Arithmetic discrete planes are quasicrystals. Zbl 1261.52013Berthé, Valérie 3 2009 Discrete geometry and symbolic dynamics. Zbl 1204.37011Berthé, Valérie 1 2009 On an involution of Christoffel words and Sturmian morphisms. Zbl 1213.68476Berthé, Valérie; de Luca, Aldo; Reutenauer, Christophe 30 2008 Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne 16 2008 Sturm numbers and substitution invariance of 3iet words. Zbl 1202.11021Arnoux, Pierre; Berthé, Valérie; Masáková, Zuzana; Pelantová, Edita 5 2008 On substitution invariant Sturmian words: an application of Rauzy fractals. Zbl 1140.11014Berthé, Valérie; Ei, Hiromi; Ito, Shunji; Rao, Hui 14 2007 Functional stepped surfaces, flips, and generalized substitutions. Zbl 1119.68136Arnoux, Pierre; Berthé, Valérie; Fernique, Thomas; Jamet, Damien 13 2007 Purely periodic \(\beta \)-expansions in the Pisot non-unit case. Zbl 1197.11139Berthé, Valerie; Siegel, Anne 11 2007 Odometers on regular languages. Zbl 1107.68046Berthé, Valérie; Rigo, Michel 4 2007 Discrete rotations and symbolic dynamics. Zbl 1115.68119Berthé, Valérie; Nouvel, Bertrand 3 2007 Dynamical directions in numeration. Zbl 1138.37005Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg 31 2006 Initial powers of Sturmian sequences. Zbl 1117.37005Berthé, Valérie; Holton, Charles; Zamboni, Luca Q. 31 2006 Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne 10 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. 114 2005 Tilings associated with beta-numeration and substitutions. Zbl 1139.37008Berthé, Valérie; Siegel, Anne 35 2005 Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly. Zbl 1156.37301Berthé, Valérie; Ferenczi, Sébastien; Zamboni, Luca Q. 18 2005 Smooth words over arbitrary alphabets. Zbl 1077.68082Berthé, Valérie; Brlek, Srečko; Choquette, Philippe 6 2005 Abstract numeration systems and tilings. Zbl 1156.68443Berthé, Valérie; Rigo, Michel 5 2005 Two-dimensional iterated morphisms and discrete planes. Zbl 1068.37004Arnoux, Pierre; Berthé, Valérie; Siegel, Anne 13 2004 Lattices and multi-dimensional words. Zbl 1068.37005Berthé, Valérie; Tijdeman, Robert 6 2004 Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015 303 2002 Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions. Zbl 1017.11006Arnoux, Pierre; Berthé, Valérie; Ito, Shunji 24 2002 Balance properties of multi-dimensional words. Zbl 0997.68091Berthé, Valérie; Tijdeman, Robert 16 2002 Palindromes and two-dimensional Sturmian sequences. Zbl 1002.11026Berthé, Valérie; Vuillon, Laurent 16 2001 Tilings, quasicrystals, discrete planes, generalized substitutions, and multidimensional continued fractions. Zbl 1017.68147Arnoux, Pierre; Berthé, Valérie; Ei, Hiromi; Ito, Shunji 15 2001 On the numeration system of Ostrowski. (Autour dy système de numération d’Ostrowski.) Zbl 0994.68100Berthé, Valérie 13 2001 Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences. Zbl 0970.68124Berthé, Valérie; Vuillon, Laurent 46 2000 On continued fraction expansions in positive characteristic: equivalence relations and some metric properties. Zbl 1024.11050Berthé, Valérie; Nakada, Hitoshi 23 2000 Sequences of low complexity: Automatic and Sturmian sequences. Zbl 0976.11014Berthé, Valérie 10 2000 Double sequences of low complexity. (Suites doubles de basse complexité.) Zbl 1018.37010Berthé, Valérie; Vuillon, Laurent 9 2000 Complexity and linear cellular automata. (Complexité et automates cellulaires linéaires.) Zbl 0988.68116Berthé, Valérie 5 2000 Covering numbers: Arithmetics and dynamics for rotations and interval exchanges. Zbl 0996.37006Berthé, Valérie; Chekhova, Nataliya; Ferenczi, Sébastien 6 1999 Three distance theorems and combinatorics on words. Zbl 0997.11051Alessandri, Pascal; Berthé, Valérie 50 1998 Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012Allouche, Jean-Paul; Berthé, Valérie 10 1997 Frequencies of factors of Sturmian sequences. (Fréquences des facteurs des suites sturmiennes.) Zbl 0872.11018Berthé, Valérie 27 1996 Linear combinations of \(\zeta(s)/ \Pi^ s\) over \(F_ q(x)\) for \(1\leq s\leq q-2\). (Combinaisons linéaires de \(\zeta(s)/ \Pi^ s\) sur \(F_ q(x)\), pour \(1\leq s\leq q-2\).) Zbl 0853.11062Berthé, Valérie 3 1995 Entropy in deterministic and random systems. Zbl 0884.28014Berthé, V. 1 1995 Automates et valeurs de transcendance du logarithme de Carlitz. (Automata and transcendental values of the Carlitz logarithm). Zbl 0784.11024Berthé, Valérie 4 1994 Conditional entropy of some automatic sequences. Zbl 0846.11019Berthé, Valérie 3 1994 Carlitz \(\zeta\)-function and automata. (Fonction \(\zeta\) de Carlitz et automates.) Zbl 0784.11025Berthé, Valérie 4 1993 New “automatic” proofs for the transcendence of the Carlitz zeta function. (De nouvelles preuves “automatiques” de transcendance pour la fonction zeta de Carlitz.) Zbl 0788.11020Berthé, Valérie 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 670 Authors 47 Berthé, Valérie 25 Thuswaldner, Jörg Maximilian 19 Pelantová, Edita 19 Zamboni, Luca Quardo 17 Rigo, Michel 16 Leroy, Julien 16 Zhuravlev, Vladimir Georgievich 14 Dolce, Francesco 14 Reutenauer, Christophe 13 Ferenczi, Sébastien 13 Steiner, Wolfgang 12 Perrin, Dominique 11 Cassaigne, Julien 11 Kim, Donghan 11 Solomyak, Boris 11 Wen, Zhixiong 10 Vuillon, Laurent 9 Bugeaud, Yann 9 Puzynina, Svetlana 9 Sirvent, Víctor F. 8 Adamczewski, Boris 8 Akiyama, Shigeki 8 Allouche, Jean-Paul Simon 8 Damanik, David 8 de Luca, Aldo 8 Fernique, Thomas 8 Grimm, Uwe 8 Labbé, Sébastien 8 Masáková, Zuzana 8 Mauduit, Christian 8 Noll, Thomas 8 Salo, Ville O. 8 Shutov, Anton V. 8 Tan, Bo 7 Arnoux, Pierre 7 Baake, Michael 7 Bufetov, Aleksandr Igorevich 7 Charlier, Emilie 7 Hubert, Pascal 7 Ito, Shunji 7 Koivusalo, Henna 7 Moshe, Yossi 7 Rao, Hui 7 Richomme, Gwénaël 7 Siegel, Anne 7 Starosta, Štěpán 6 Barge, Marcy M. 6 Bédaride, Nicolas 6 Haynes, Alan K. 6 Kamae, Teturo 6 Pavlov, Ronnie 6 Rindone, Giuseppina 6 Sadun, Lorenzo A. 6 Stipulanti, Manon 6 Surer, Paul 6 Vallée, Brigitte 6 Walton, James J. 6 Wu, Jun 5 Clampitt, David 5 Costa, Alfredo 5 De Felice, Clelia 5 Delecroix, Vincent 5 Durand, Fabien 5 Glen, Amy 5 Julien, Antoine 5 Lemańczyk, Mariusz 5 Lenz, Daniel H. 5 Lim, Seonhee 5 Nakada, Hitoshi 5 Provençal, Xavier 5 Scheicher, Klaus 5 Shallit, Jeffrey O. 5 Tijdeman, Robert 5 Yassawi, Reem 4 Almeida, Jorge 4 Bernat, Julien 4 Chaika, Jonathan 4 Chen, Jin 4 De Luca, Alessandro 4 Drmota, Michael 4 Fici, Gabriele 4 Frettlöh, Dirk 4 Frougny, Christiane 4 Gröger, Maik 4 Guo, Yingjun 4 Hilion, Arnaud 4 Jolivet, Timo 4 Justin, Jacques 4 Krasil’shchikov, V. V. 4 Lapointe, Mélodie 4 Messaoudi, Ali 4 Mignosi, Filippo 4 Minervino, Milton 4 Moreira, Carlos Gustavo Tamm de Araujo 4 Müllner, Clemens 4 Natsui, Rie 4 Priebe Frank, Natalie 4 Saari, Kalle 4 Spiegelhofer, Lukas 4 Verger-Gaugry, Jean-Louis ...and 570 more Authors all top 5 Cited in 161 Serials 98 Theoretical Computer Science 38 Ergodic Theory and Dynamical Systems 24 Annales de l’Institut Fourier 20 European Journal of Combinatorics 19 Transactions of the American Mathematical Society 17 Discrete Mathematics 16 Monatshefte für Mathematik 15 Journal de Théorie des Nombres de Bordeaux 14 Discrete Applied Mathematics 13 Discrete and Continuous Dynamical Systems 13 RAIRO. Theoretical Informatics and Applications 12 Journal of Number Theory 12 Indagationes Mathematicae. New Series 10 Journal d’Analyse Mathématique 10 Advances in Applied Mathematics 10 Journal of Mathematical Sciences (New York) 9 Israel Journal of Mathematics 9 Advances in Mathematics 9 Proceedings of the American Mathematical Society 9 Topology and its Applications 9 RAIRO. Theoretical Informatics and Applications 8 International Journal of Algebra and Computation 8 Finite Fields and their Applications 8 The Electronic Journal of Combinatorics 7 Mathematische Zeitschrift 6 Bulletin de la Société Mathématique de France 6 Discrete & Computational Geometry 6 Information and Computation 6 International Journal of Number Theory 6 Journal of Mathematics and Music 5 Journal of Mathematical Analysis and Applications 5 Nonlinearity 5 Acta Arithmetica 5 International Journal of Foundations of Computer Science 5 St. Petersburg Mathematical Journal 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Geometriae Dedicata 4 Journal of Combinatorial Theory. Series A 4 Osaka Journal of Mathematics 4 Integers 4 Chebyshevskiĭ Sbornik 4 Actes des Rencontres du C.I.R.M. 3 American Mathematical Monthly 3 Journal of Statistical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Physica A 3 Chaos, Solitons and Fractals 3 Journal of Algebra 3 Journal of Functional Analysis 3 Mathematika 3 Algorithmica 3 Experimental Mathematics 3 Fractals 3 Theory of Computing Systems 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Combinatorial Theory 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Mathematical Notes 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Canadian Journal of Mathematics 2 Journal of Approximation Theory 2 Journal of Pure and Applied Algebra 2 Quaestiones Mathematicae 2 Semigroup Forum 2 Acta Mathematica Hungarica 2 Journal of Symbolic Computation 2 Pattern Recognition 2 Expositiones Mathematicae 2 Journal of Mathematical Imaging and Vision 2 Russian Mathematics 2 Journal of Difference Equations and Applications 2 The Ramanujan Journal 2 Chaos 2 Dynamical Systems 2 Stochastics and Dynamics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Modern Dynamics 2 Science China. Mathematics 2 Journal of Spectral Theory 2 Bulletin of Mathematical Sciences 2 Journal of Fractal Geometry 1 Computer Physics Communications 1 Information Processing Letters 1 Letters in Mathematical Physics 1 Studia Mathematica 1 Arkiv för Matematik 1 Algebra Universalis 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Automatica 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Computing 1 Duke Mathematical Journal ...and 61 more Serials all top 5 Cited in 47 Fields 330 Computer science (68-XX) 305 Dynamical systems and ergodic theory (37-XX) 281 Number theory (11-XX) 89 Convex and discrete geometry (52-XX) 78 Measure and integration (28-XX) 70 Combinatorics (05-XX) 34 Group theory and generalizations (20-XX) 18 General topology (54-XX) 13 Operator theory (47-XX) 12 General and overarching topics; collections (00-XX) 12 Information and communication theory, circuits (94-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Mathematical logic and foundations (03-XX) 9 Manifolds and cell complexes (57-XX) 9 Probability theory and stochastic processes (60-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General algebraic systems (08-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 5 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 4 Quantum theory (81-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 \(K\)-theory (19-XX) 2 Partial differential equations (35-XX) 2 Operations research, mathematical programming (90-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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