Baake, Michael; Gähler, Franz; Mazáč, Jan On the Fibonacci tiling and its modern ramifications. arXiv:2311.05387 Preprint, arXiv:2311.05387 [math.MG] (2023). MSC: 52C23 37B52 42A38 BibTeX Cite \textit{M. Baake} et al., ``On the Fibonacci tiling and its modern ramifications'', Preprint, arXiv:2311.05387 [math.MG] (2023) Full Text: arXiv OA License
Baake, Michael; Gähler, Franz; Gohlke, Philipp Orbit separation dimension as complexity measure for primitive inflation tilings. arXiv:2311.03541 Preprint, arXiv:2311.03541 [math.DS] (2023). MSC: 37B52 52C23 BibTeX Cite \textit{M. Baake} et al., ``Orbit separation dimension as complexity measure for primitive inflation tilings'', Preprint, arXiv:2311.03541 [math.DS] (2023) Full Text: arXiv OA License
Baake, Michael; Gähler, Franz; Sadun, Lorenzo Dynamics and topology of the Hat family of tilings. arXiv:2305.05639 Preprint, arXiv:2305.05639 [math.DS] (2023). MSC: 52C20 37D40 55N05 52C23 BibTeX Cite \textit{M. Baake} et al., ``Dynamics and topology of the Hat family of tilings'', Preprint, arXiv:2305.05639 [math.DS] (2023) Full Text: arXiv OA License
Bédaride, Nicolas; Gähler, Franz; Lecuona, Ana G. Cohomology groups for spaces of twelve-fold tilings. (English) Zbl 1503.52030 Int. Math. Res. Not. 2022, No. 18, 14181-14254 (2022). Reviewer: Altino Manuel Folgado dos Santos (Vila Real) MSC: 52C20 20J06 PDFBibTeX XMLCite \textit{N. Bédaride} et al., Int. Math. Res. Not. 2022, No. 18, 14181--14254 (2022; Zbl 1503.52030) Full Text: DOI arXiv
Gähler, F. Renormalisation for inflation tilings. I: General theory. (English) Zbl 1492.37024 Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 693-695 (2021). MSC: 37B52 52C23 46B22 PDFBibTeX XMLCite \textit{F. Gähler}, MATRIX Book Ser. 4, 693--695 (2021; Zbl 1492.37024) Full Text: DOI
Baake, Michael; Gähler, Franz; Huck, Christian; Zeiner, Peter Spectral and arithmetic structures in aperiodic order. (English) Zbl 1448.37019 Baake, Michael (ed.) et al., Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 197-220 (2019). Reviewer: Anton Shutov (Vladimir) MSC: 37B52 37A20 37B40 37B02 52C23 PDFBibTeX XMLCite \textit{M. Baake} et al., in: Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). 197--220 (2019; Zbl 1448.37019) Full Text: DOI
Adiceam, Faustin; Damanik, David; Gähler, Franz; Grimm, Uwe; Haynes, Alan; Julien, Antoine; Navas, Andrés; Sadun, Lorenzo; Weiss, Barak Open problems and conjectures related to the theory of mathematical quasicrystals. (English) Zbl 1349.52020 Arnold Math. J. 2, No. 4, 579-592 (2016). MSC: 52C23 PDFBibTeX XMLCite \textit{F. Adiceam} et al., Arnold Math. J. 2, No. 4, 579--592 (2016; Zbl 1349.52020) Full Text: DOI
Baake, Michael; Gähler, Franz Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples. (English) Zbl 1359.37025 Topology Appl. 205, 4-27 (2016). Reviewer: Anton Shutov (Vladimir) MSC: 37B10 42A38 52C23 PDFBibTeX XMLCite \textit{M. Baake} and \textit{F. Gähler}, Topology Appl. 205, 4--27 (2016; Zbl 1359.37025) Full Text: DOI arXiv
Gähler, Franz; Kwan, Eugene E.; Maloney, Gregory R. A computer search for planar substitution tilings with \(n\)-fold rotational symmetry. (English) Zbl 1321.52024 Discrete Comput. Geom. 53, No. 2, 445-465 (2015). Reviewer: Christian Richter (Jena) MSC: 52C20 05B45 52-04 PDFBibTeX XMLCite \textit{F. Gähler} et al., Discrete Comput. Geom. 53, No. 2, 445--465 (2015; Zbl 1321.52024) Full Text: DOI arXiv
Akiyama, Shigeki; Gähler, Franz; Lee, Jeong-Yup Determining pure discrete spectrum for some self-affine tilings. (English) Zbl 1400.37019 Discrete Math. Theor. Comput. Sci. 16, No. 3, 305-316 (2014). MSC: 37B50 28A80 52C20 PDFBibTeX XMLCite \textit{S. Akiyama} et al., Discrete Math. Theor. Comput. Sci. 16, No. 3, 305--316 (2014; Zbl 1400.37019) Full Text: arXiv Link
Gähler, Franz; Nilsson, Johan Substitution Rules for Higher-Dimensional Paperfolding Structures. arXiv:1408.4997 Preprint, arXiv:1408.4997 [math.DS] (2014). MSC: 52C23 37B50 05B45 BibTeX Cite \textit{F. Gähler} and \textit{J. Nilsson}, ``Substitution Rules for Higher-Dimensional Paperfolding Structures'', Preprint, arXiv:1408.4997 [math.DS] (2014) Full Text: arXiv OA License
Baake, Michael; Gähler, Franz; Grimm, Uwe Examples of substitution systems and their factors. (English) Zbl 1336.37012 J. Integer Seq. 16, No. 2, Article 13.2.14, 18 p. (2013). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 37B10 37B50 52C23 55N05 PDFBibTeX XMLCite \textit{M. Baake} et al., J. Integer Seq. 16, No. 2, Article 13.2.14, 18 p. (2013; Zbl 1336.37012) Full Text: arXiv EMIS
Gähler, Franz; Hunton, John; Kellendonk, Johannes Integral cohomology of rational projection method patterns. (English) Zbl 1270.52025 Algebr. Geom. Topol. 13, No. 3, 1661-1708 (2013). MSC: 52C23 52C22 55R20 PDFBibTeX XMLCite \textit{F. Gähler} et al., Algebr. Geom. Topol. 13, No. 3, 1661--1708 (2013; Zbl 1270.52025) Full Text: DOI arXiv
Gähler, Franz; Maloney, Gregory R. Cohomology of one-dimensional mixed substitution tiling spaces. (English) Zbl 1277.37020 Topology Appl. 160, No. 5, 703-719 (2013). Reviewer: Renaud Gauthier (Phoenix) MSC: 37B10 55N05 54H20 37B50 52C23 PDFBibTeX XMLCite \textit{F. Gähler} and \textit{G. R. Maloney}, Topology Appl. 160, No. 5, 703--719 (2013; Zbl 1277.37020) Full Text: DOI arXiv
Gähler, Franz; Provido, Eden Topology of the Random Fibonacci Tiling Space. arXiv:1312.4897 Preprint, arXiv:1312.4897 [math.DS] (2013). MSC: 37B10 37B50 52C23 55N05 BibTeX Cite \textit{F. Gähler} and \textit{E. Provido}, ``Topology of the Random Fibonacci Tiling Space'', Preprint, arXiv:1312.4897 [math.DS] (2013) Full Text: DOI arXiv OA License
Baake, Michael; Gähler, Franz; Grimm, Uwe Hexagonal inflation tilings and planar monotiles. (English) Zbl 1351.37070 Symmetry 4, No. 4, 581-602 (2012). MSC: 37B50 52C23 PDFBibTeX XMLCite \textit{M. Baake} et al., Symmetry 4, No. 4, 581--602 (2012; Zbl 1351.37070) Full Text: DOI arXiv
Gähler, Franz Substitution rules and topological properties of the Robinson tilings. arXiv:1210.6468 Preprint, arXiv:1210.6468 [math.DS] (2012). MSC: 37B45 52C23 55N05 54H20 BibTeX Cite \textit{F. Gähler}, ``Substitution rules and topological properties of the Robinson tilings'', Preprint, arXiv:1210.6468 [math.DS] (2012) Full Text: arXiv OA License
Gähler, Franz MLD Relations of Pisot Substitution Tilings. arXiv:1001.2744 Preprint, arXiv:1001.2744 [math.DS] (2010). MSC: 52C23 BibTeX Cite \textit{F. Gähler}, ``MLD Relations of Pisot Substitution Tilings'', Preprint, arXiv:1001.2744 [math.DS] (2010) Full Text: DOI arXiv OA License
Gähler, Franz; Hunton, John; Kellendonk, Johannes WITHDRAWN: Torsion in Tiling Homology and Cohomology. arXiv:math-ph/0505048 Preprint, arXiv:math-ph/0505048 [math-ph] (2005); retraction notice ibid. MSC: 52C23 37B50 BibTeX Cite \textit{F. Gähler} et al., ``WITHDRAWN: Torsion in Tiling Homology and Cohomology'', Preprint, arXiv:math-ph/0505048 [math-ph] (2005); retraction notice ibid. Full Text: arXiv
Gähler, Franz; Gummelt, Petra; Ben-Abraham, Shelomo I. Generation of quasiperiodic order by maximal cluster covering. (English) Zbl 1041.52016 Kramer, Peter (ed.) et al., Coverings of discrete quasiperiodic sets. Theory and applications to quasicrystals. Berlin: Springer (ISBN 3-540-43241-8/pbk). Springer Tracts Mod. Phys. 180, 63-95 (2003). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 52C23 82D30 PDFBibTeX XMLCite \textit{F. Gähler} et al., Springer Tracts Mod. Phys. 180, 63--95 (2003; Zbl 1041.52016)
Gähler, F.; Klitzing, R. The diffraction pattern of self-similar tilings. (English) Zbl 0887.52012 Moody, Robert V. (ed.), The mathematics of long-range aperiodic order. Proceedings of the NATO Advanced Study Institute, Waterloo, Ontario, Canada, August 21–September 1, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 489, 141-174 (1997). MSC: 52C22 82D25 PDFBibTeX XMLCite \textit{F. Gähler} and \textit{R. Klitzing}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 489, 141--174 (1997; Zbl 0887.52012)
Gähler, Franz; Baake, Michael; Schlottmann, Martin Binary tiling quasicrystals and matching rules. (English) Zbl 0909.52006 Phys. Rev. B (3) 50, No. 17, 12458-12467 (1994). MSC: 52C23 82D25 PDFBibTeX XMLCite \textit{F. Gähler} et al., Phys. Rev. B (3) 50, No. 17, 12458--12467 (1994; Zbl 0909.52006) Full Text: DOI
Gähler, Franz; Stampfli, Peter The dualisation method revisited: Dualisation of product Laguerre complexes as a unifying framework. (English) Zbl 0798.52022 Int. J. Mod. Phys. B 7, No. 6-7, 1333-1349 (1993). MSC: 52C20 52C07 82D25 PDFBibTeX XMLCite \textit{F. Gähler} and \textit{P. Stampfli}, Int. J. Mod. Phys. B 7, No. 6--7, 1333--1349 (1993; Zbl 0798.52022) Full Text: DOI
Gähler, F.; Rhyner, J. Equivalence of generalized grid and projection methods for the construction of quasiperiodic tilings. (English) Zbl 0598.52012 J. Phys. A 19, 267-277 (1986). Reviewer: J.Durdil MSC: 52C17 05B45 42C20 PDFBibTeX XMLCite \textit{F. Gähler} and \textit{J. Rhyner}, J. Phys. A, Math. Gen. 19, 267--277 (1986; Zbl 0598.52012) Full Text: DOI