Papers on tilings, substitutions, and aperiodic order

The adic realization of the Morse transformation and the extension of its action on the solenoid (with Anatoly Vershik), Zapiski Nauchn. Semin. POMI 360 (2008), 70-91.

Invariant measures on stationary Bratteli diagrams (with Sergey Bezuglyi, Jan Kwiatkowski, and Konstantin Medynets), Ergodic Theory and Dynam. Sys., to appear. (Version April 1, 2009.)

On the characterization of expansion maps for self-affine tilings (with Richard Kenyon), Discrete Comp. Geom., to appear. (Version June 2, 2009.)

Eigenfunctions for substitution tiling systems, Advanced Studies in Pure Mathematics 49 (2007), pp. 433-454, (Proceedings of the International Conference on Probability and Number Theory in Kanazawa, Japan, June 2005).

Pure point diffractive substitution Delone sets have the Meyer property (with Jeong-Yup Lee), Discrete and Computational Geometry 39 (2008), 319-338.

Pseudo-self-affine tilings in R^d , Zapiski Nauch. Semin. POMI 326 (2005), 198-213.

Topological mixing for substitutions on two letters (with Richard Kenyon and Lorenzo Sadun), Ergodic Theory and Dynamical Systems 25 (2005), 1919-1934.

Pure point dynamical and diffraction spectra (with Jeong-Yup Lee and Robert V. Moody), Annales Henri Poincare 3 (2002), 1003-1018.

Consequences of pure point diffraction spectra for multiset substitution systems (with Jeong-Yup Lee and Robert V. Moody), Discrete and Computational Geometry 29 (2003), 525--560.

Pure discrete spectrum for one-dimensional substitutions of Pisot type (with Victor F. Sirvent), Canadian Math. Bulletin 45(4) (2002), 697--710.

Two-symbol Pisot substitutions have pure discrete spectrum (with Michael Hollander), Ergodic Theory and Dynam. Sys. 23 (2003), 533--540

Some high-complexity Hamiltonians with purely singular continuous spectrum (with David Damanik), Annales Henri Poincare 3 (2002), 99--105.

Characterization of planar pseudo-self-similar tilings (with Natalie Priebe), Discrete and Computational Geometry 26 (2001), 289--306.

Spectrum of dynamical systems arising from Delone sets, in Quasicrystals and Discrete Geometry (J. Patera, ed.), Fields Institute Monographs 10, 265--275, American Mathematical Society, 1998. Errata

Dynamics of self-similar tilings, Ergodic Theory and Dynam. Sys. 17 (1997), 695-738.
Corrections, Ergodic Theory and Dynam. Sys. 19 (1999), 1685.