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Mitchell, Andrew

On word complexity and topological entropy of random substitution subshifts. (English) Zbl 07910787

Proc. Am. Math. Soc. 152, No. 10, 4361-4377 (2024).

MSC: 37B10 37B40 52C23 94A17

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Baake, Michael (ed.); Cortez, María Isabel (ed.); Damanik, David (ed.); Strungaru, Nicolae (ed.)

Aspects of aperiodic order. Abstracts from the workshop held August 27 – September 1, 2023. (English) Zbl 1537.00015

Oberwolfach Rep. 20, No. 3, 2107-2178 (2023).

MSC: 00B05 00B25 52-06 37-06 52C23 37B10 37B52 35Q40 43A25 37C79

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Escudero, Juan García

Deltoid tangents with evenly distributed orientations and random tilings. (English) Zbl 1523.52030

J. Geom. Symmetry Phys. 65, 1-39 (2023).

Reviewer: Christian Richter (Jena)

MSC: 52C20 52C23 52C30 60D05

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Bustos, Álvaro; Luz, Daniel; Mañibo, Neil

Admissible reversing and extended symmetries for bijective substitutions. (English) Zbl 1520.37015

Discrete Comput. Geom. 69, No. 3, 800-833 (2023).

Reviewer: Hasan Akin (Şanlıurfa)

MSC: 37B10 37B52 20B27 52C23

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Gohlke, P.; Mitchell, A.; Rust, D.; Samuel, T.

Measure theoretic entropy of random substitution subshifts. (English) Zbl 1512.37022

Ann. Henri Poincaré 24, No. 1, 277-323 (2023).

Reviewer: Hasan Akin (Trieste)

MSC: 37B10 37B51 37B52 37H12 37A25 37A50 52C23

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Smilansky, Yotam

Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings. (English) Zbl 07584838

J. Math. Anal. Appl. 516, No. 2, Article ID 126535, 14 p. (2022).

MSC: 62-XX 52C23 05C22 11K36 37B52

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Treviño, Rodrigo

Tilings and traces. (English) Zbl 1477.37026

J. Math. Phys. 62, No. 7, Article ID 072701, 29 p. (2021).

MSC: 37B52 37A30 52C23 81Q15 46L10

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Schmieding, Scott; Treviño, Rodrigo

Random substitution tilings and deviation phenomena. (English) Zbl 1466.52023

Discrete Contin. Dyn. Syst. 41, No. 8, 3869-3902 (2021).

MSC: 52C23 37H15

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Eichinger, Benjamin; Gohlke, Philipp

Spectral properties of Schrödinger operators associated with almost minimal substitution systems. (English) Zbl 1462.81087

Ann. Henri Poincaré 22, No. 5, 1377-1427 (2021).

MSC: 81Q10 37B10 52C23

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Baake, Michael; Strungaru, Nicolae

Eberlein decomposition for PV inflation systems. (English) Zbl 1467.37021

Lett. Math. Phys. 111, No. 2, Paper No. 59, 21 p. (2021).

MSC: 37B52 37H12 52C22

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Frettlöh, Dirk; Smilansky, Yotam; Solomon, Yaar

Bounded displacement non-equivalence in substitution tilings. (English) Zbl 1448.52017

J. Comb. Theory, Ser. A 177, Article ID 105326, 19 p. (2021).

MSC: 52C23

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Frank, Natalie Priebe

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)

MSC: 37B52 37B10 52C23

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Gohlke, Philipp; Spindeler, Timo

Ergodic frequency measures for random substitutions. (English) Zbl 1461.37018

Stud. Math. 255, No. 3, 265-301 (2020).

MSC: 37B10 37H12 37A25 52C23

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Periodic points in random substitution subshifts. (English) Zbl 1452.37058

Monatsh. Math. 193, No. 3, 683-704 (2020).

Reviewer: Hasan Akin (Gaziantep)

MSC: 37H12 37C25 37B10 37B40 52C23

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Bustos, Álvaro

Extended symmetry groups of multidimensional subshifts with hierarchical structure. (English) Zbl 1450.37010

Discrete Contin. Dyn. Syst. 40, No. 10, 5869-5895 (2020).

MSC: 37B10 37B51 37B52 20B27 52C23

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Gohlke, Philipp

Inflation word entropy for semi-compatible random substitutions. (English) Zbl 1441.37014

Monatsh. Math. 192, No. 1, 93-110 (2020).

Reviewer: Hasan Akin (Gaziantep)

MSC: 37B10 37B40 52C23 28D20 37A35 54C70 20M05

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Clark, Alex; Hunton, John

The homology core of matchbox manifolds and invariant measures. (English) Zbl 1412.37040

Trans. Am. Math. Soc. 371, No. 3, 1771-1793 (2019).

Reviewer: Thomas B. Ward (Leeds)

MSC: 37C85 28D15 52C23 37C70 37A15

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Goodman-Strauss, Chaim

Lots of aperiodic sets of tiles. (English) Zbl 1417.52028

J. Comb. Theory, Ser. A 160, 409-445 (2018).

Reviewer: Shawn Rafalski (Fairfield)

MSC: 52C23

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Baake, Michael (ed.); Damanik, David (ed.); Kellendonk, Johannes (ed.); Lenz, Daniel (ed.)

Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1–7, 2017. (English) Zbl 1409.00064

Oberwolfach Rep. 14, No. 4, 2781-2845 (2017).

MSC: 00B05 00B25 52C23 11K70 28D15 37B50 54H20 60B05 60G55 81Q10 52-06 11-06

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Walton, James J.

Pattern-equivariant homology. (English) Zbl 1373.52027

Algebr. Geom. Topol. 17, No. 3, 1323-1373 (2017).

MSC: 52C23 37B50 52C22 55N05

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