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• (With Joseph Rosenblatt and Ayse Sahin) Directional ergodicity and weak mixing for actions of R^d and Z^d, Indag. Math., Electronically published 7/7/2023: "Share Link": https://authors.elsevier.com/a/1hSs74PiIC-yT, DOI: https://doi.org/10.1016/j.indag.2023.06.006. (Preprint version: 3/15/2022, arXiv: https://arxiv.org/abs/2203.06710).
• (With Mathijs de Lepper and Karma Dajani) IntroducingMinkowskiNormality, Journal of Number Theory, 211, 2020 pp 445-476. E-published  11/20/1019 https://www.sciencedirect.com/science/article/pii/S0022314X19303890?via%3Dihub Preprint: Introducing Minkowski Normality  (version 6/9/2019). arXiv: https://arxiv.org/abs/1902.10373
• (With Michael Baake, Natalie P. Frank, and Uwe Grimm):
  Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction, Studia Mathematica, 219, pp 109-154 (2019). e-published version: Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction, (2018), also: Preprint on arXiv. (2017)
• (With Tetyana Andress), The Cech cohomology and the spectrum for 1-dimensional tiling spaces (preprint version" The Cech cohomology and the spectrum for 1-dimensional tiling systems)  Contemporary Mathematics 678 (2016), 53-71.
• Parry's topological transitivity and f-expansions, Proc. Amer. Math. Soc. 144 (2016),  2093-2107.
• Man Ray's Human Equations, Notices of the AMS 62 (#10), (2015), 1192-1198.
• Sturmian Expansions and Entropy, Integers  11B, (2011).
• (With Ayșe Şahin) Rank-1 Z^d actions and directional entropy, Ergodic Theory and Dynamical Systems  31 (2011), 285-299.
• (With Daniel H. Ullman) A Mathematical look at Politics, Chapman and Hall, CRC Press, December 2010, 459 pages
  
• (With Natalie P. Frank), Generalized β-expansions, substitution tilings and local finiteness, Transactions of the American Mathematical Society 360 (2008), 1163-1177, (preprint version).
• A Halmos-von Neumann theorem for model set dynamical systems , "Dynamics, Ergodic Theory and Geometry” MSRI Publications 54, Cambridge University Press, 243-272 (2007).
• (With Maki Furukado & Shunji Ito),  Tilings associated with non-Pisot matrices. Numération, pavages, substitutions, Ann. Inst. Fourier (Grenoble) 56 (2006), 2391–2435.
• (With Ayșe Şahin) On the existence of Markov partitions for Z^d actions. J. London Math. Soc. 69 (2), 693–706. (2004).
• Symbolic dynamics and tilings of R^d. Symbolic dynamics and its applications,  Proc. Sympos. Appl. Math. 60, Amer. Math. Soc., (2004), 81–119,.
• (With T. Fitzkee & K. Hockett) A weakly mixing tiling dynamical system with a smooth model, Theoretical Computer Science 303, (2003), 447-462.
• (With A. Katok) Cocycles, cohomology and combinatorial constructions in ergodic theory. Proc. Sympos. Pure Math. 69, Smooth ergodic theory and its applications (Seattle, WA, 1999), 107–173, Amer. Math. Soc., Providence, RI, (2001).
• (With Ayșe Şahin) Modeling ergodic, measure preserving actions on Z^d shifts of finite type. Monatsh. Math. 132, (2001), no. 3, 237–253.
• (With Ayșe Şahin) Mixing properties of nearly maximal entropy measures for Z^d shifts of finite type. Dedicated to the memory of Anzelm Iwanik. Colloq. Math. 84/85, 43–50, (2000).
• (With Ayșe Şahin) On the absence of invariant measures with locally maximal entropy for a class of Z^d shifts of finite type, Proceedings of Amer. Math. Soc. 127, (1999), 3309-3318.
  
• On the table and chair. Indag. Math. (N.S.) 10 (1999), no. 4, 581–599.
• The dynamical theory of Penrose tilings,  Transactions Amer. Math. Soc. 384, 4447-4464, (1996).
• The Dynamical Theory of Tilings and Quasicrystallography, Ergodic Theory of actions, London Mathematics Society Lecture Notes 228,  451-473, Cambridge University Press (1996). (New LaTeX updated pdf 4/2013).
• On uniform convergence in the Wiener-Wintner Theoremen, Journal London Math. Soc.  49,  (1994), 493-501.
• A general condition for lifting theorems, Transactions Amer. Math. Soc. 330,  (1992),  725-755.
• (with K. Park) The joinings within a class  Z² Actions, J. d'Analyse Math. 57, 1-36, (1991).
• Spectral multiplicity for non abelian Morse sequences.   Lect. Notes in Mathematics 1342, Springer Verlag, (1988),  645-652.
• (with J.M. Hawkins)  Approximately transitive(2) flows and transformations have simple spectrum.  Lect. Notes in Mathematics 1342, Springer Verlag (1988), 261-280.
• Non-abelian extensions have nonsimple spectrum, Compositio Math.  65,  (1988),  155-170.
• Ergodic properties that lift to compact group extensions,  Proceedings Amer. Math. Soc. 102,  (1988), 61-67.
• Transformations with highly nonhomogeneous spectrum of finite multiplicity, Israel J. Math. 56 (1986), 75-88.
• Mixing and spectral multiplicity, Ergodic Theory and Dynamical Systems  5, (1985), 617-624.
• Ergodic measure preserving transformations  with arbitrary finite spectral multiplicities, Invent. Math.  72, (1983), 229-314.
• Ergodic measure preserving transformations with arbitrary finite spectral multiplicities, Dissertation, University of Maryland, (1983).
• (with John Farrington, et al), Intercalibration of gas chromatographic analyses for hydrocarbons in tissues and extracts or marine organisms, Analytical Chemistry, 48, (1976), 1711-1716.