P/Reprints & Lecture Slides

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 Papers and preprints: (Some links require subscription/institutional ISP) Sturmain Expansions and Entropy, preprint submitted, 2010. (with Tetyana Andress) The Cech cohomology and spectrum for 1-dimensional tiling systems, preprint submitted, 2010. (with Ayse Sahin) Rank-1 Zd actions and directional entropy, Ergodic Theory and Dynamical systems 31 (2011), 285-299. (with M. Furukado & S. Ito) Tilings associated with non-Pisot matrices. Numération, pavages, substitutions. Ann. Inst. Fourier (Grenoble) 56 (2006), 2391–2435. A Halmos-von Neumann theorem for model sets, and almost automorphic dynamical systems. Dynamics, ergodic theory, and geometry, Math. Sci. Res. Inst. Publ., 54, Cambridge Univ. Press, Cambridge, (2007), 243–272. (with Natalie Priebe Frank) Generalized β-expansions, substitution tilings, and local finiteness, Transactions of the AMS, 360 (2008), 1163-1177. (Preprint) Symbolic Dynamics and Tilings of Rd, “Symbolic Dynamics”, Proceedings of Symposia in Applied Mathematics 60, American Mathematical Society, 2004. (With A. Sahin) On the existence of Markov partitions for Zd actions. J. London Math. Soc. (2), 693–706. (2004). (with T. Fitzkee & K. Hockett) A weakly mixing tiling dynamical system with a smooth model, Theoretical Computer Science 303, (2003), 447-462. (Page proof) (In collaboration with A. Katok) Cocycles, cohomology and combinatorial constructions in ergodic theory. In collaboration with E. A. Robinson, Jr. Proc. Sympos. Pure Math., 69, Smooth ergodic theory and its applications (Seattle, WA, 1999), 107–173, Amer. Math. Soc., Providence, RI, (2001) (With A. Sahin) Modeling ergodic, measure preserving actions on Zd shifts of finite type. Monatsh. Math. 132 (2001), no. 3, 237–253. (With A. Sahin) Mixing properties of nearly maximal entropy measures for Zd shifts of finite type. Dedicated to the memory of Anzelm Iwanik. Colloq. Math. 84/85, 43–50 (2000). (With A. Sahin) On the absence of invariant measures with locally maximal entropy for a class of Zd shifts of finite type, Proceedings of Amer. Math. Soc. 127, (1999), 3309-3318. On the table and the 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). On uniform convergence in the Wiener-Wintner Theorem, Journal London Math. Soc. 49, (1994), 493-501. (with K. Park) The joinings within a class Z2 Actions, J. d'Analyse Math. 57, 1-36, (1991). A general condition for lifting theorems, Transactions Amer. Math. Soc. 330, (1992), 725-755. The maximal abelian sub-extension determines weak mixing for group extensions, Proceedings Amer. Math. Soc. 114, (1992), 443-450. 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 Finite Spectral Multiplicities, Dissertation, University of Maryland, (1983). Selected Talks (slides): Directional Entropy, KIAS, Seoul, Korea, September, 2010,Conference on Aperiodic Order. 
 Entropy-Zero Numeration, Lorentz Center, Leiden, The Netherlands, June, 2010, Conference on Numeration. 
 Kari-Culick Tilings, CIRM, Marseille, March, 2009, Conference on Tilings, Numeration and Computer Science.
 A survey of results on tiling dynamical systems, BIRS, Banff, Canada, July, 2003. 

 Complexity of Self-affine tilings AMS Meeting, Northeastern University, Boston MA, October 2002.
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