Found 53 Documents (Results 1–53)
Conjugacy of unimodular Pisot substitution subshifts to domain exchanges. (Conjugaison des sous-décalages de substitutions Pisot unimodulaires à des échanges de domaines.) (English. French summary) Zbl 1539.37017
Rotated odometers. (English) Zbl 1527.37040
Reviewer: Steve Pederson (Atlanta)
Self-similarity and spectral theory: on the spectrum of substitutions. (English) Zbl 1522.37027
St. Petersbg. Math. J. 34, No. 3, 313-346 (2023) and Algebra Anal. 34, No. 3, 5-50 (2023).
Uniformly distributed orbits in \(\mathbb{T}^d\) and singular substitution dynamical systems. (English) Zbl 1516.37021
Spectral characteristics of Schrödinger operators generated by product systems. (English) Zbl 1528.35037
Reviewer: Christian Seifert (Hamburg)
Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16–22, 2022. (English) Zbl 1506.00085
Maximal pronilfactors and a topological Wiener-Wintner theorem. (English) Zbl 1511.37005
Reviewer: Thomas B. Ward (Durham)
Mixing properties and entropy bounds of a family of Pisot random substitutions. (English) Zbl 1503.37065
Topological mixing notions on Turing machine dynamical systems. (English) Zbl 1504.37017
Reviewer: Gregory Loren McColm (Tampa)
On substitution automorphisms with pure singular spectrum. (English) Zbl 1502.37018
Reviewer: Bruno Duchesne (Paris)
How to prove that a sequence is not automatic. (English) Zbl 1497.11063
Reviewer: Michel Rigo (Liège)
MSC:
11B85
Automorphisms of automatic shifts. (English) Zbl 1461.37019
Reviewer: Yan Qi (Xiamen)
Introduction to hierarchical tiling dynamical systems. (English) Zbl 1459.37016
Akiyama, Shigeki (ed.) et al., Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Cham: Springer. Lect. Notes Math. 2273, 33-95 (2020).
Reviewer: Anton Shutov (Vladimir)
Constant length substitutions, iterated function systems and amorphic complexity. (English) Zbl 1453.37015
Reviewer: Bilel Selmi (Monastir)
Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) (English. French summary) Zbl 1433.37010
Reviewer: Thomas B. Ward (Leeds)
Eigenvalues of minimal Cantor systems. (English) Zbl 1416.54018
Reviewer: Thomas B. Ward (Leeds)
MSC:
54H20
37B20
Rigidity and substitutive dendric words. (English) Zbl 1448.68365
Reviewer: Jean-Paul Allouche (Paris)
Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1–7, 2017. (English) Zbl 1409.00064
The Čech cohomology and the spectrum for 1-dimensional tiling systems. (English) Zbl 1364.37044
Auslander, Joseph (ed.) et al., Ergodic theory, dynamical systems, and the continuing influence of John C. Oxtoby. Oxtoby centennial conference, Bryn Mawr College, Bryn Mawr, PA, USA, October 30–31, 2010. Williams ergodic theory conference, Williams College, Williamstown, MA, USA, July 27–29, 2012. AMS special session on ergodic theory and symbolic dynamics, Baltimore, MD, USA, January 17–18, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2299-8/pbk; 978-1-4704-3589-9/ebook). Contemporary Mathematics 678, 53-71 (2016).
Computing automorphism groups of shifts using atypical equivalence classes. (English) Zbl 1378.54035
Reviewer: Juan Luis García Guirao (Cartagena)
Symmetric and congruent Rauzy fractals. (English) Zbl 1362.28013
MSC:
28A80
Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\). (English) Zbl 1305.37010
Reviewer: Laurent Bartholdi (Göttingen)
On the modulus of continuity for spectral measures in substitution dynamics. (English) Zbl 1339.37004
Reviewer: Ivan Podvigin (Novosibirsk)
Finiteness and recognizability problems for substitution maps on two symbols. (English) Zbl 1202.37014
Reviewer: Yoshihide Kozai (Suginami Tokyo)
MSC:
37B10
Invariant measures on stationary Bratteli diagrams. (English) Zbl 1205.37009
Reviewer: Thomas B. Ward (Norwich)
On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. (English) Zbl 1204.37008
Reviewer: C. R. E. Raja (Bangalore)
Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks. (English) Zbl 1178.37011
Reviewer: Athanase Papadopoulos (Strasbourg)
Aperiodic substitution systems and their Bratteli diagrams. (English) Zbl 1169.37004
Reviewer: Michael Schraudner (Santiago)
Atomic surfaces, tilings and coincidence. I: Irreducible case. (English) Zbl 1143.37013
Reviewer: Elizaveta Zamorzaeva (Chişinău)
MSC:
37B50
52C22
Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \(\beta\)-shifts. (English) Zbl 1138.37008
Dynamical directions in numeration. (English) Zbl 1138.37005
Reviewer: Olaf Ninnemann (Berlin)
Pure discrete spectrum dynamical system and periodic tiling associated with a substitution. (English) Zbl 1083.37009
Reviewer: Laurent Vuillon (Le Bourget du Lac)
Arithmetic and dynamical properties of the Rauzy fractal. (Propriétés arithmétiques et dynamiques du fractal de Rauzy.) (French) Zbl 0918.11048
Reviewer: Thomas Ward (Norwich)
Substitution dynamical systems: Algebraic characterization of eigenvalues. (English) Zbl 0866.11023
Reviewer: J.-P.Allouche (Orsay)
Recognizability of substitutions and complexity of automatic sequences. (Reconnaissabilité des substitutions et complexité des suites automatiques.) (French) Zbl 0855.68072
On some properties of the decoding of admissible words for primitive substitutions. (English. Russian original) Zbl 0909.58025
J. Math. Sci., New York 87, No. 6, 4059-4064 (1997); translation from Zap. Nauchn. Semin. POMI 223, 127-136 (1995).
If a D0L language is \(k\)-power free then it is circular. (English) Zbl 1422.68157
Lingas, Andrzej (ed.) et al., Automata, languages and programming. 20th international colloquium, ICALP 93, Lund, Sweden, July 5–9, 1993. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 700, 507-518 (1993).
MSC:
68Q45
Power of words and recognizability of fixpoints of a substitution. (Puissances de mots et reconnaissabilité des points fixes d’une substitution.) (French) Zbl 0763.68049
Reviewer: B.Mossé
MSC:
68Q45
Caractérisation des ensembles normaux substitutifs. (Characterization of normal substitutional sets). (French) Zbl 0665.10035
Reviewer: P.Liardet
MSC:
11K06
A sufficient condition for weak mixing of subtitutions and stationary adic transformations. (English. Russian original) Zbl 0713.28011
Math. Notes 44, No. 6, 920-925 (1988); translation from Mat. Zametki 44, No. 6, 785-793 (1988).
MSC:
28D05
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