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Siegel, Anne

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Author ID: siegel.anne Recent zbMATH articles by "Siegel, Anne"
Published as: Siegel, Anne; Siegel, A.
Homepage: http://www.irisa.fr/dyliss/anne.siegel
External Links: MGP · GND · IdRef · theses.fr
Member of Collective: Fogg, N. Pytheas
Documents Indexed: 35 Publications since 2001, including 2 Books

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 547 times in 357 Documents Cited by Year
Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015
Fogg, N. Pytheas (ed.); Berthé, Valérie (ed.); Ferenczi, Sébastien (ed.); Mauduit, Christian (ed.); Siegel, A. (ed.)
267
2002
Geometric representation of substitutions of Pisot type. Zbl 1142.37302
Canterini, Vincent; Siegel, Anne
42
2001
Tilings associated with beta-numeration and substitutions. Zbl 1139.37008
Berthé, Valérie; Siegel, Anne
32
2005
On the Pisot substitution conjecture. Zbl 1376.37043
Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A.
26
2015
Topological properties of Rauzy fractals. Zbl 1229.28021
Siegel, Anne; Thuswaldner, Jörg M.
25
2009
Prefix-suffix automaton associated with a primitive substitution. (Automate des préfixes-suffixes associé à une substitution primitive.) Zbl 1071.37011
Canterini, Vincent; Siegel, Anne
24
2001
Representation of nonunimodular substitution dynamical systems. (Représentation des systèmes dynamiques substitutifs non unimodulaires.) Zbl 1052.37009
Siegel, Anne
16
2003
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005
Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne
15
2008
Pure discrete spectrum dynamical system and periodic tiling associated with a substitution. Zbl 1083.37009
Siegel, Anne
14
2004
Two-dimensional iterated morphisms and discrete planes. Zbl 1068.37004
Arnoux, Pierre; Berthé, Valérie; Siegel, Anne
12
2004
Substitutions, Rauzy fractals and tilings. Zbl 1247.37015
Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg
12
2010
Purely periodic \(\beta \)-expansions in the Pisot non-unit case. Zbl 1197.11139
Berthé, Valerie; Siegel, Anne
11
2007
Rational numbers with purely periodic \(\beta \)-expansion. Zbl 1211.11010
Adamczewski, Boris; Frougny, Christiane; Siegel, Anne; Steiner, Wolfgang
9
2010
Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020
Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne
9
2006
Fractal tiles associated with shift radix systems. Zbl 1221.11018
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M.
8
2011
A combinatorial approach to products of Pisot substitutions. Zbl 1378.37036
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
6
2016
Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
5
2012
Generating discrete planes with substitutions. Zbl 1400.11075
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
4
2013
Connectedness of fractals associated with Arnoux-Rauzy substitutions. Zbl 1326.37007
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
3
2014
Three distance theorems and Sturmian sequences: length governing words. (Théorème des trois longueurs et suites sturmiennes: mots d’agencement des longueurs.) Zbl 1004.11040
Siegel, Anne
2
2001
Minimal intervention strategies in logical signaling networks with ASP. Zbl 1286.68048
Kaminski, Roland; Schaub, Torsten; Siegel, Anne; Videla, Santiago
2
2013
Learning Boolean logic models of signaling networks with ASP. Zbl 1330.92050
Videla, Santiago; Guziolowski, Carito; Eduati, Federica; Thiele, Sven; Gebser, Martin; Nicolas, Jacques; Saez-Rodriguez, Julio; Schaub, Torsten; Siegel, Anne
1
2015
Extending the metabolic network of Ectocarpus siliculosus using answer set programming. Zbl 1405.68046
Collet, Guillaume; Eveillard, Damien; Gebser, Martin; Prigent, Sylvain; Schaub, Torsten; Siegel, Anne; Thiele, Sven
1
2013
Formalizing and enriching phenotype signatures using Boolean networks. Zbl 1409.92097
Wery, Méline; Dameron, Olivier; Nicolas, Jacques; Remy, Elisabeth; Siegel, Anne
1
2019
Formalizing and enriching phenotype signatures using Boolean networks. Zbl 1409.92097
Wery, Méline; Dameron, Olivier; Nicolas, Jacques; Remy, Elisabeth; Siegel, Anne
1
2019
A combinatorial approach to products of Pisot substitutions. Zbl 1378.37036
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
6
2016
On the Pisot substitution conjecture. Zbl 1376.37043
Akiyama, S.; Barge, M.; Berthé, V.; Lee, J.-Y.; Siegel, A.
26
2015
Learning Boolean logic models of signaling networks with ASP. Zbl 1330.92050
Videla, Santiago; Guziolowski, Carito; Eduati, Federica; Thiele, Sven; Gebser, Martin; Nicolas, Jacques; Saez-Rodriguez, Julio; Schaub, Torsten; Siegel, Anne
1
2015
Connectedness of fractals associated with Arnoux-Rauzy substitutions. Zbl 1326.37007
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
3
2014
Generating discrete planes with substitutions. Zbl 1400.11075
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne
4
2013
Minimal intervention strategies in logical signaling networks with ASP. Zbl 1286.68048
Kaminski, Roland; Schaub, Torsten; Siegel, Anne; Videla, Santiago
2
2013
Extending the metabolic network of Ectocarpus siliculosus using answer set programming. Zbl 1405.68046
Collet, Guillaume; Eveillard, Damien; Gebser, Martin; Prigent, Sylvain; Schaub, Torsten; Siegel, Anne; Thiele, Sven
1
2013
Substitutive Arnoux-Rauzy sequences have pure discrete spectrum. Zbl 1313.37004
Berthé, Valérie; Jolivet, Timo; Siegel, Anne
5
2012
Fractal tiles associated with shift radix systems. Zbl 1221.11018
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M.
8
2011
Substitutions, Rauzy fractals and tilings. Zbl 1247.37015
Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg
12
2010
Rational numbers with purely periodic \(\beta \)-expansion. Zbl 1211.11010
Adamczewski, Boris; Frougny, Christiane; Siegel, Anne; Steiner, Wolfgang
9
2010
Topological properties of Rauzy fractals. Zbl 1229.28021
Siegel, Anne; Thuswaldner, Jörg M.
25
2009
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. Zbl 1190.11005
Akiyama, Shigeki; Barat, Guy; Berthé, Valérie; Siegel, Anne
15
2008
Purely periodic \(\beta \)-expansions in the Pisot non-unit case. Zbl 1197.11139
Berthé, Valerie; Siegel, Anne
11
2007
Fractal representation of the attractive lamination of an automorphism of the free group. Zbl 1146.20020
Arnoux, Pierre; Berthé, Valérie; Hilion, Arnaud; Siegel, Anne
9
2006
Tilings associated with beta-numeration and substitutions. Zbl 1139.37008
Berthé, Valérie; Siegel, Anne
32
2005
Pure discrete spectrum dynamical system and periodic tiling associated with a substitution. Zbl 1083.37009
Siegel, Anne
14
2004
Two-dimensional iterated morphisms and discrete planes. Zbl 1068.37004
Arnoux, Pierre; Berthé, Valérie; Siegel, Anne
12
2004
Representation of nonunimodular substitution dynamical systems. (Représentation des systèmes dynamiques substitutifs non unimodulaires.) Zbl 1052.37009
Siegel, Anne
16
2003
Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015
Fogg, N. Pytheas; Berthé, Valérie; Ferenczi, Sébastien; Mauduit, Christian; Siegel, A.
267
2002
Geometric representation of substitutions of Pisot type. Zbl 1142.37302
Canterini, Vincent; Siegel, Anne
42
2001
Prefix-suffix automaton associated with a primitive substitution. (Automate des préfixes-suffixes associé à une substitution primitive.) Zbl 1071.37011
Canterini, Vincent; Siegel, Anne
24
2001
Three distance theorems and Sturmian sequences: length governing words. (Théorème des trois longueurs et suites sturmiennes: mots d’agencement des longueurs.) Zbl 1004.11040
Siegel, Anne
2
2001
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Cited by 395 Authors

32 Berthé, Valérie
16 Thuswaldner, Jörg Maximilian
12 Steiner, Wolfgang
9 Akiyama, Shigeki
9 Siegel, Anne
9 Sirvent, Víctor F.
8 Leroy, Julien
8 Mauduit, Christian
8 Pelantová, Edita
8 Wen, Zhixiong
7 Arnoux, Pierre
7 Dolce, Francesco
7 Grimm, Uwe
7 Perrin, Dominique
7 Reutenauer, Christophe
7 Rigo, Michel
7 Solomyak, Boris
6 Ito, Shunji
6 Kim, Donghan
6 Rao, Hui
6 Salo, Ville O.
6 Tan, Bo
6 Zhuravlev, Vladimir Georgievich
5 Baake, Michael
5 Barge, Marcy M.
5 Ferenczi, Sébastien
5 Frettlöh, Dirk
5 Glen, Amy
5 Pavlov, Ronnie
5 Shutov, Anton V.
5 Surer, Paul
4 Almeida, Jorge
4 Bédaride, Nicolas
4 Bernat, Julien
4 Bufetov, Aleksandr Igorevich
4 Cassaigne, Julien
4 Costa, Alfredo
4 De Felice, Clelia
4 Fernique, Thomas
4 Julien, Antoine
4 Lemańczyk, Mariusz
4 Lim, Seonhee
4 Minervino, Milton
4 Moreira, Carlos Gustavo Tamm de Araujo
4 Priebe Frank, Natalie
4 Rindone, Giuseppina
4 Sadun, Lorenzo A.
4 Sellami, Tarek
4 Starosta, Štěpán
3 Adamczewski, Boris
3 Bezuglyi, Sergey I.
3 Bressaud, Xavier
3 Bugeaud, Yann
3 Clark, Alex
3 Durand, Fabien
3 Ei, Hiromi
3 El Abdalaoui, El Houcein
3 Guo, Yingjun
3 Harriss, Edmund Orme
3 Hbaib, Mohamed
3 Hubert, Pascal
3 Jenkinson, Oliver
3 Jolivet, Timo
3 Kamae, Teturo
3 Krasil’shchikov, V. V.
3 Lee, Jeong-Yup
3 Loridant, Benoit
3 Masáková, Zuzana
3 Ochem, Pascal
3 Richomme, Gwénaël
3 Scheicher, Klaus
3 Tijdeman, Robert
3 Verger-Gaugry, Jean-Louis
3 Vince, Andrew
3 Wen, Zhi-Ying
3 Whiteland, Markus A.
3 Wu, Wen
3 Yassawi, Reem
3 Zamboni, Luca Quardo
3 Zhang, Jiemeng
3 Zhang, Yiping
2 Aliste-Prieto, José
2 Allouche, Jean-Paul Simon
2 Alvin, Lori
2 Ambrož, Petr
2 Anagnostopoulou, Vasso
2 Barat, Guy
2 Barnsley, Michael Fielding
2 Bertazzon, Jean-Francois
2 Bruin, Henk
2 Chaika, Jonathan
2 Chan, Lax
2 Chen, Jin
2 Currie, James D.
2 Cyr, Van
2 Damanik, David
2 de la Rue, Thierry
2 Delecroix, Vincent
2 Drmota, Michael
2 Dubickas, Artūras
...and 295 more Authors
all top 5

Cited in 111 Serials

32 Theoretical Computer Science
23 Ergodic Theory and Dynamical Systems
19 Annales de l’Institut Fourier
12 Transactions of the American Mathematical Society
11 Discrete and Continuous Dynamical Systems
10 Monatshefte für Mathematik
10 Indagationes Mathematicae. New Series
9 Topology and its Applications
8 Discrete Mathematics
8 Advances in Mathematics
8 RAIRO. Theoretical Informatics and Applications
7 Israel Journal of Mathematics
7 Advances in Applied Mathematics
6 Discrete Applied Mathematics
6 European Journal of Combinatorics
5 Proceedings of the American Mathematical Society
5 Journal de Théorie des Nombres de Bordeaux
4 Journal d’Analyse Mathématique
4 Osaka Journal of Mathematics
4 International Journal of Foundations of Computer Science
4 St. Petersburg Mathematical Journal
4 The Electronic Journal of Combinatorics
3 Communications in Mathematical Physics
3 Acta Arithmetica
3 Mathematische Zeitschrift
3 Discrete & Computational Geometry
3 International Journal of Algebra and Computation
3 Annales Henri Poincaré
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Number Theory
3 Chebyshevskiĭ Sbornik
3 RAIRO. Theoretical Informatics and Applications
3 Actes des Rencontres du C.I.R.M.
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Nonlinearity
2 Chaos, Solitons and Fractals
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Algebra
2 Journal of Functional Analysis
2 Journal of Number Theory
2 Journal of Pure and Applied Algebra
2 Quaestiones Mathematicae
2 Russian Mathematics
2 Experimental Mathematics
2 Journal of Difference Equations and Applications
2 Journal of the European Mathematical Society (JEMS)
2 Dynamical Systems
2 Stochastics and Dynamics
2 Journal of Mathematics and Music
2 Bulletin of Mathematical Sciences
2 Journal of Fractal Geometry
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Studia Mathematica
1 Arkiv för Matematik
1 Mathematics of Computation
1 Algebra Universalis
1 Applied Mathematics and Computation
1 Colloquium Mathematicum
1 Computing
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Mathematika
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Tokyo Journal of Mathematics
1 Acta Mathematica Hungarica
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 Geometric and Functional Analysis. GAFA
1 SIAM Review
1 Expositiones Mathematicae
1 Archive for Mathematical Logic
1 Zapiski Nauchnykh Seminarov POMI
1 Journal of Mathematical Sciences (New York)
1 Fractals
1 Bulletin des Sciences Mathématiques
1 Complexity
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Theory of Computing Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Abstract and Applied Analysis
1 Geometry & Topology
1 Communications in Contemporary Mathematics
1 Qualitative Theory of Dynamical Systems
1 Integers
1 Theory and Practice of Logic Programming
1 Entropy
1 Bulletin of the Brazilian Mathematical Society. New Series
...and 11 more Serials
all top 5

Cited in 43 Fields

198 Dynamical systems and ergodic theory (37-XX)
133 Number theory (11-XX)
132 Computer science (68-XX)
62 Convex and discrete geometry (52-XX)
57 Measure and integration (28-XX)
35 Combinatorics (05-XX)
23 Group theory and generalizations (20-XX)
12 General topology (54-XX)
7 Mathematical logic and foundations (03-XX)
7 Operator theory (47-XX)
6 General and overarching topics; collections (00-XX)
6 Manifolds and cell complexes (57-XX)
6 Information and communication theory, circuits (94-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 General algebraic systems (08-XX)
4 Functional analysis (46-XX)
3 Algebraic geometry (14-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Associative rings and algebras (16-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 \(K\)-theory (19-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-XX)
2 Quantum theory (81-XX)
2 Biology and other natural sciences (92-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year