Substitutions in dynamics, arithmetics, and combinatorics
By Val'erie Berth'e, Sébastien Ferenczi, Christian Mauduit, Anne Siegel. 2002
856 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1dad6fb403fbe48ed4295fcacde79e6913ec9725
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Val'erie Berth'e
- Anne Siegel
- Vincent Delecroix
- Jörg M. Thuswaldner
- Marcy Barge
- C. Ulcigrai
- Jean Berstel
- Boris Solomyak
In Mathematical Physics
- Val'erie Berth'e
- Anne Siegel
- Vincent Delecroix
- Jörg M. Thuswaldner
- C. Ulcigrai
- Alexander I. Bufetov
- Marcy Barge
- J. Smillie
Citations in the corpus
- On the modulus of continuity for spectral measures in substitution dynamics (2013, background): “The reader is referred to [34, 20] for the background on substitutions and substitution dynamical systems.”
- Beyond Sturmian sequences: coding linear trajectories in the regular octagon (2011, background): “They have been characterized as the non-periodic sequences of minimal complexity (see [7]) and have been considered by many authors since then (see [1] for a contemporary account and [14] for a historical survey).”
- Topological Properties of Rauzy Fractals (2010, background): “Naturally, their symbolic dynamical systems are generated by substitutions [66, 108].”
- Geometric theory of unimodular Pisot substitutions (2006, background): “Also, in [11], unique ergodicity of the shift map on the substitutive system associated with φ is shown.”
- Beyond substitutive dynamical systems: S-adic expansions (2013, background): “Note that the notion of substitution occurs in various fields of mathematics (symbolic dynamics, ergodic theory, number theory, harmonic analysis, fractal theory), as well as in theoretical computer science (combinatorics on words and language theory), physics (quasicrystalline structures), and even”
- Sturmian and episturmian words: a survey of some recent results (2007, background): “For a systematic exposition, see [32] and [33].”