Valérie Berthé | Academic Influence

Valérie Berthé's AcademicInfluence.com Rankings

Valérie Berthé

Mathematics

#4947

World Rank

#6991

Historical Rank

Combinatorics

#77

World Rank

#84

Historical Rank

Measure Theory

#3896

World Rank

#4591

Historical Rank

mathematics Degrees

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Mathematics

Valérie Berthé's Degrees

PhD Mathematics Université Paris Cité
Masters Mathematics Université Paris Cité
Bachelors Mathematics Université Paris Cité

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Why Is Valérie Berthé Influential?

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According to Wikipedia, Valérie Berthé is a French mathematician who works as a director of research for the Centre national de la recherche scientifique at the Institut de Recherche en Informatique Fondamentale , a joint project between CNRS and Paris Diderot University. Her research involves symbolic dynamics, combinatorics on words, discrete geometry, numeral systems, tessellations, and fractals.

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Valérie Berthé's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Substitutions in dynamics, arithmetics, and combinatorics (2002) (736)
Abstract Numeration Systems and Tilings (2005) (110)
Tilings associated with beta-numeration and substitutions. (2005) (108)
Tilings and rotations on the torus: a two-dimensional generalization of Sturmian sequences (2000) (106)
Three distance theorems and combinatorics on words (2007) (97)
Dynamical directions in numeration (2006) (83)
Initial powers of Sturmian sequences (2006) (74)
On an involution of Christoffel words and Sturmian morphisms (2008) (61)
On the Pisot Substitution Conjecture (2015) (58)
Acyclic, connected and tree sets (2013) (56)
Two-dimensional iterated morphisms and discrete planes (2004) (48)
Discrete planes, ${\mathbb {Z}}^2$-actions, Jacobi-Perron algorithm and substitutions (2002) (48)
Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly (2005) (48)
Frequencies of Sturmian series factors (1996) (43)
Recognizability for sequences of morphisms (2017) (42)
Maximal bifix decoding (2013) (42)
Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions (2001) (41)
Palindromes and Two-Dimensional Sturmian Sequences (2001) (40)
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions (2007) (39)
Balance properties of multi-dimensional words (2002) (37)
Purely periodic β-expansions in the Pisot non-unit case (2007) (36)
On converting numbers to the double-base number system (2004) (35)
On substitution invariant Sturmian words: an application of Rauzy fractals (2007) (31)
Functional stepped surfaces, flips, and generalized substitutions (2007) (31)
Substitutions, Rauzy fractals and tilings (2010) (29)
Conditional entropy of some automatic sequences (1994) (29)
Covering numbers: Arithmetics and dynamics for rotations and interval exchanges (1999) (27)
Fractal representation of the attractive lamination of an automorphism of the free group (2006) (27)
Fractal tiles associated with shift radix systems☆ (2009) (24)
Sequences of low complexity: Automatic and Sturmian sequences (2000) (22)
Brun expansions of stepped surfaces (2011) (22)
Substitutive Arnoux-Rauzy sequences have pure discrete spectrum (2011) (19)
Multidimensional Euclidean Algorithms, Numeration and Substitutions (2011) (19)
Diophantine Approximation, Ostrowski Numeration and the Double-Base Number System (2009) (19)
Smooth words over arbitrary alphabets (2005) (19)
Combinatorics , Automata and Number Theory (2011) (18)
Beyond substitutive dynamical systems : $S$-adic expansions (Numeration and Substitution 2012) (2014) (17)
Factor Complexity of S-adic sequences generated by the Arnoux-Rauzy-Poincaré Algorithm (2014) (16)
Balance Properties of Arnoux-Rauzy Words (2012) (16)
An Arithmetic and Combinatorial Approach to Three-Dimensional Discrete Lines (2011) (14)
Specular sets (2015) (14)
ON THE DIMENSION GROUP OF UNIMODULAR S-ADIC SUBSHIFTS (2019) (13)
Probabilistic analyses of the plain multiple gcd algorithm (2016) (13)
A combinatorial approach to products of Pisot substitutions (2014) (13)
Lattices and multi-dimensional words (2004) (12)
Rigidity and Substitutive Dendric Words (2018) (12)
Critical Connectedness of Thin Arithmetical Discrete Planes (2013) (12)
Selfdual substitutions in dimension one (2011) (11)
Entropy in deterministic and random systems (1995) (11)
Generating Discrete Planes with Substitutions (2013) (11)
Return words of linear involutions and fundamental groups (2014) (11)
Odometers on Regular Languages (2007) (11)
Discrete rotations and symbolic dynamics (2007) (10)
Balancedness and coboundaries in symbolic systems (2018) (10)
On some applications of generalized functionality for arithmetic discrete planes (2007) (10)
Purely periodic beta-expansions in the Pisot non-unit case (2004) (9)
Uniformly balanced words with linear complexity and prescribed letter frequencies (2011) (9)
Fully Subtractive Algorithm, Tribonacci numeration and connectedness of discrete planes (Numeration and Substitution 2012) (2014) (9)
Numeration and discrete dynamical systems (2012) (9)
A study of Jacobi-Perron boundary words for the generation of discrete planes (2013) (8)
Sequences, Groups, and Number Theory (2018) (8)
On the cost and complexity of the successor function (2007) (8)
Generalized Functionality for Arithmetic Discrete Planes (2005) (7)
Discrete Geometry and Symbolic Dynamics (2006) (7)
Connectedness of fractals associated with Arnoux-Rauzy substitutions (2011) (6)
Natural coding of linear involutions (2014) (5)
Two-sided Rauzy induction (2013) (4)
Arithmetic Discrete Planes Are Quasicrystals (2009) (4)
Combinatorics, Words and Symbolic Dynamics (2016) (4)
Convergence and Factor Complexity for the Arnoux-Rauzy-Poincaré Algorithm (2013) (4)
Density of Symbols in Discretized Rotation Configurations (2005) (4)
Recurrence Function on Sturmian Words: A Probabilistic Study (2015) (3)
Combinatorics , Automata and Number Theory CANT (2009) (3)
The Brun gcd algorithm in high dimensions is almost always subtractive (2018) (3)
Linear Combinations of ζ(s)/Πs Over Fq(x), where 1 ≤ s ≤ q − 2 (1995) (3)
Combinatorics, Automata and Number Theory: Preliminaries (2010) (3)
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators (2008) (3)
Fine costs for Euclid's algorithm on polynomials and Farey maps (2014) (3)
On the dimension group of unimodular $${\mathcal {S}}$$-adic subshifts (2021) (2)
Basic Notions on Substitutions (2002) (2)
Analysis of the Brun Gcd Algorithm (2016) (2)
Two Arithmetical Sources and Their Associated Tries (2020) (2)
On the concrete complexity of the successor function (2012) (2)
C O ] 2 6 D ec 2 01 3 Acyclic , connected and tree sets (2013) (1)
数系と置換規則（Numeration and Substitution）2012 (2014) (1)
Generation of discrete planes (2006) (1)
Preface to the special issue on automatic sequences, number theory, and aperiodic order (2017) (1)
Effective S-adic Symbolic Dynamical Systems (2016) (1)
Bifix codes in acyclic sets (2013) (1)
Multiple GCDs. probabilistic analysis of the plain algorithm (2013) (1)
Mini-Workshop: Combinatorics on Words (2010) (1)
The carry propagation of the successor function (2019) (1)
Beyond Pisot substitutions (2012) (1)
Bifix codes and the finite index basis property (2013) (1)
Return words in interval exchange transformations (2013) (1)
Theoretical Computer Science (1981) (1)
Generalized Substitutions and Stepped Surfaces (2005) (1)
Rigidity and substitutive tree words (2017) (1)
Combinatorics, Automata and Number Theory: References (2010) (0)
Pisot type substitutions (2015) (0)
Linearly recurrent systems (2017) (0)
D M ] 3 0 M ay 2 01 6 Specular sets (2018) (0)
Rigidity Rigidity and Substitutive Dendric Words (2020) (0)
C O ] 6 S ep 2 01 3 Note on sets of first return (2014) (0)
1 Preliminaries (2020) (0)
Generalized Substitutions and Stepped Surfa (2018) (0)
Symbolic dynamics and representations (2017) (0)
Sturmian Fixed Points of Morphisms (2006) (0)
Theory of Computing Systems (0)
Appreciation to Journal of Mathematics Imaging and Vision Reviewers (2020) (0)
Multidimensional Combinatorics on Words (2004) (0)
Mini-Workshop: The Pisot Conjecture — From Substitution Dynamical Systems to Rauzy Fractals and Meyer Sets (2009) (0)
Acyclic, connected and tree sets (2014) (0)
Analysis of generalized continued fraction algorithms over polynomials (2021) (0)
Discrete geometry and numeration (2009) (0)
On Decision Problems for Substitutions in Symbolic Dynamics (2020) (0)
About thin arithmetic discrete planes (2011) (0)
On the topology of discrete hyperplanes (2012) (0)
Preface to the special issue dedicated to combinatorics, automata and number theory (2008) (0)
Bifix codes in normal sets (2013) (0)
Bounded remainder sets and dynamics (2019) (0)
Brun expansions, substitutions and discrete geometry (2007) (0)
Finiteness properties for Pisot $S$-adic tilings (2006) (0)
2 0 Fe b 20 15 The finite index basis property (2015) (0)
ASSOCIATED WITH BETA-NUMERATION AND SUBSTITUTIONS (2005) (0)
Preliminaries (Chapter 1) (2010) (0)
Arithmetic distributions of convergents arising from Jacobi-Perron algorithm (2006) (0)
Dual substitutions and generation of arithmetical discrete planes with connecting thickness (2014) (0)
Topological methods for symbolic discrepancy (2021) (0)
Numeration and the Double-Base Number System (2009) (0)
Fractals and Substitutive Dynamical Systems (2004) (0)
# A 2 INTEGERS 11 B ( 2011 ) MULTIDIMENSIONAL EUCLIDEAN ALGORITHMS , NUMERATION AND SUBSTITUTIONS (2011) (0)
Lattices and Multidimensional Words (2004) (0)
Linear involutions , bifix codes and free groups (2014) (0)
Index and References (2010) (0)
Words in Number Theory (2006) (0)
D M ] 2 A ug 2 01 4 The finite index basis property (2014) (0)
C O ] 2 3 Fe b 20 15 Maximal bifix decoding (2014) (0)
FINE COSTS FOR THE EUCLID ALGORITHM ON POLYNOMIALS AND FAREY MAPS (0)
A New Characterization of the Fibonacci Word (2004) (0)
Substitutions par des Motifs en Dimension 1 (2007) (0)
Numeration and discrete dynamical systems (2011) (0)
Probabilistic Analysis of the Plain Algorithm (2013) (0)

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What Schools Are Affiliated With Valérie Berthé?

Valérie Berthé is affiliated with the following schools:

Université Paris Cité

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