“(Don’t) mind the gap: complexity of gapped digit substitutions”<\/a> (with May Mei and Kitty Yang), Mathematics Magazine , published online July 3, (2025).<\/p>\n “The Tiling Book: An Introduction to the Mathematical Theory of Tilings by Colin Adams”<\/a>, (book review), The Mathematical Intelligencer 47<\/strong>(2), 184\u2013186.\u00a0<\/span><\/span><\/p>\n “Flow views and infinite interval exchange transformations for recognizable substitutions”<\/a>, Indagationes Mathematicae 35<\/strong>, no 5, 1075-1103 (2024).<\/p>\n “Spectral theory of spin substitutions”<\/a> (with Neil Manibo), Discrete and Continuous Dynamical Systems 42<\/strong>, no. 11 (2022).<\/p>\n “Three variations on a theme by Fibonacci”<\/a>, Stochastics and Dynamics 21, no. 3 (2021). This was a “top downloaded paper” for this journal in 2021.<\/p>\n “Geometric properties of a non-Pisot inflation and absence of absolutely continuous spectrum<\/a>” (with Michael Baake, Uwe Grimm, and E. Arthur Robinson, Jr.), Studia Mathematica 247<\/strong>, no. 2 (2019), 109-154.<\/p>\n “An introduction to hierarchical tiling dynamical systems<\/a>“, Lecture Notes from the Jean-Morlet Chair, Centre International de Rencontres Mathematiques, November 2017. To appear in Springer’s Lecture Notes in Mathematics.<\/em><\/span><\/span><\/p>\n “Fractal dual substitution tilings”<\/a><\/span><\/span>\u00a0(with Michael F. Whittaker and Samuel Webster), \u00a0Journal of Fractal Geometry 3<\/strong>, no. 3 (2016), pp. 265-317.<\/span><\/span><\/p>\n “Tilings with infinite local complexity”<\/a><\/span><\/span>, in J. Kellendonk, D. Lenz, and J. Savinien, editors, Mathematics of Aperiodic Order<\/em>, Progress in Mathematics 309<\/strong>, Birkhauser, 2015.<\/span><\/span><\/p>\n “Fusion: a general framework for hierarchical tilings”<\/a>,\u00a0in the Proceedings of the 12th International Conference on Quasicrystallography (ICQ12), \u00a0Acta Physica Polonica A 126<\/strong> (2014), pp. 461-466. “Fusion tilings with infinite local complexity”<\/a>\u00a0(with Lorenzo Sadun), Topology Proceedings 43<\/strong> (2014), pp. 235-276.<\/span><\/span><\/p>\n “Fusion: a general framework for hierarchical tilings of R^d”<\/a>\u00a0(with Lorenzo Sadun), Geometriae Dedicata, Online First 2013. DOI:\u00a010.1007\/s10711-013-9893-7. Print version: 171<\/strong>, no. 1 (2014), pp. 149-186.<\/span><\/span><\/p>\n “A fractal version of the pinwheel tiling”<\/a>\u00a0 with Michael F. Whittaker (downloadable preprint). \u00a0Mathematical Intelligencer 33<\/strong>, no. 2 (2011), pp. 7 – 17. Here’s a view-only link<\/a> to the published version.<\/span><\/span><\/p>\n “A dynamical system using the Voronoi tessellation”<\/a>\u00a0(with Sean Hart), American Mathematical Monthly\u00a0117<\/strong>, no. 2 (2010), pp. 99-112.<\/span><\/span><\/p>\n “Spectral theory of bijective substitution sequences”<\/a> Oberwolfach Reports 6 (2009), no. 1, somewhere in pp. 725-766. This is an extended abstract of my March 5, 2009 talk at Oberwolfach.<\/span><\/span><\/p>\n “Topology of (some) tiling spaces without finite local complexity”<\/a>\u00a0(with Lorenzo Sadun), Discrete Contin. Dyn. Syst. 23\u00a0<\/strong>(2009), no. 3, 847-865.<\/span><\/span><\/p>\n “A primer of substitution tilings of the Euclidean plane”<\/a>\u00a0Expo. Math.\u00a026<\/strong>\u00a0(2008), no. 4, 295-326.<\/span><\/span><\/span><\/span><\/p>\n “Generalized beta-expansions, substitution tilings, and local finiteness”<\/a> (With E. A. Robinson, Jr.) Trans. Amer. Math. Soc. 360<\/strong>\u00a0(2008), no. 3, 1163-1177.<\/span><\/span><\/span><\/span><\/p>\n “Multidimensional constant-length substitution sequences”<\/a><\/span> “Detecting combinatorial hierarchy in tilings using derived Voronoi tessellations”<\/a> “Substitution sequences in Z^d with a nonsimple Lebesgue component in the spectrum”.<\/a><\/span> “Characterization of planar pseudo-self-similar tilings”<\/a> (with Boris Solomyak),<\/span> “Towards a characterization of self-similar tilings via derived Voronoi tessellations”<\/a> Undergraduate Research Summer Institute technical report (unpublished), with Allison Edgren, Olivia Gillham, and Sean Hart:\u00a0“On a dynamical system based on Voronoi tessellations”<\/a><\/p>\n \u00a0<\/span><\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":" Publications and Preprints “(Don’t) mind the gap: complexity of gapped digit substitutions” (with May Mei and Kitty Yang), Mathematics Magazine , published online July 3, (2025). “The Tiling Book: An Introduction to the Mathematical Theory of Tilings by Colin Adams”, … Continue reading
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\nTopology and its Applications 152<\/strong>, no. 1-2: 44-69, 2005.
\nProceedings of the Dynamical Systems Conference.<\/span><\/span><\/span><\/span><\/p>\n
\nDiscrete and Computational Geometry\u00a029<\/strong>: 459-476, 2003. Here is a link to the published version<\/a>, which I think is open access now.<\/span><\/span><\/p>\n
\nErgodic Theory and Dynamical Systems\u00a023<\/strong>, no 2: 519-532, 2003.<\/span><\/span><\/p>\n
\nDiscrete and Computational Geometry\u00a026<\/strong>, no. 3: 289-306, 2001. Here is a link to the published version<\/a>, which I think is open access now.<\/span><\/span><\/span><\/p>\n
\nGeometriae Dedicata\u00a079<\/strong>: 239-265, 2000.\u00a0Here’s a link to the published version<\/a>, which I think is open access now.<\/span><\/span><\/span><\/span><\/p>\n