Random Operators and Crossed Products, Mathematical Physics, Analysis and Geometry, 2 (1999), 197-220. (arXiv:math-ph/9902030)
Hierarchical structures in Sturmian dynamical Systems, preprint 1999, revised version 2001, Theoret. Comput. Sci. 303 (2003). ps-file
Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues (with David Damanik), Commun. Math. Phys. 207 (1999), 687-696. (arXiv:math-ph/9903011)
Uniform spectral properties of one-dimensional quasicrystals, II. The Lyapunov exponent (with David Damanik), Lett. Math, Phys. 50 (1999), 245-257. (arXiv:math-ph/9905008)
Uniform spectral properties of one-dimensional quasicrystals, III. $\alpha$-continuity (with David Damanik and Rowan Killip), Commun. Math. Phys. 212 (2000), 191-204. (arXiv:math-ph/9910017)
Half-line eigenfunction estimates and singular continuous spectrum of zero Lebesgue mesasure (with David Damanik), Forum Mathematicum 16 (2004), 109--128
(arXiv:math.SP/9905099)
Linear repetitivity I., Uniform subadditive ergodic theorems and applications (with David Damanik), Discrete and Computational Geometry, 26 (2001), 411-428.
(arXiv:math.DS/0005062)
The index of Sturmian sequences (with David Damanik), European Journal of Combinatorics, 23 (2002), 23--29.
ps-file
Uniform ergodic theorems on subshifts over a finite alphabet, Ergodic Theory & Dynamical Systems, 22 (2002), 245--255.
(arXiv:math.DS/0005067)
Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals, Commun. Math. Phys., 227 (2002), 119--130.
(arXiv:math-ph/0106012)
Uniform spectral properties of one-dimensional quasicrystals, IV. quasi-Sturmian potentials (with David Damanik), J. d' Analyse Mathematique 90 (2003), 115--139. (arXiv:math-ph/0105034)
Quasicrystals, aperiodic order, and groupoid von Neumann algebras (with Peter Stollmann), C. R. Acad. Sci. Ser. I, 334 (2002), 1131--1136. ps-file
Delone dynamical systems and associated random operators (with Peter Stollmann), Conference Proceedings, Constanta (Romania), July 2-7, 2001, J.-M. Combes, J. Cuntz, G.A. Elliott, G. Nenciu, H. Siedentop, S. Stratila (eds.), Theta Foundation, ISBN 973-85432-2-3. (arXiv:math-ph/0202042)
Groupoids, von Neumann Algebras and the Integrated Density of States (with Norbert Peyerimhoff and Ivan Veselic), (arXiv:math-ph/0203026)
Powers in Sturmian sequences (with David Damanik), European J. Combin. 24 (2003), 377--390. ps-file
Existence of non-uniform cocycles on uniquely ergodic systems, Ann. Inst. Henri Poincare: Prob. & Stat. 40 (2004), 197--206. ps-file
Discontinuities of the integrated density of states for random operators on Delone sets (with Steffen Klassert and Peter Stollmann), Commun. Math. Phys. 241 (2003), 235--243. (math-ph/0208027)
Aperiodic linearly repetitive Delone sets are densely repetitive, Discrete and Computational Geometry 31 (2004), 323--326. (math.MG/0208132)
Algebras of random operators associated to Delone dynamical systems (with Peter Stollmann),Mathematical Physics, Analysis and Geometry 6 (2003), 269--290. (math-ph/0210031)
Integrated density of states for random metrics on manifolds (with Norbert Peyerimhoff and Ivan Veselic), Proc. London Math. Soc. 88 (2004), 733--752. (math-ph/0212058)
Random Schr"odinger operators on manifolds (with Norbert Peyerimhoff and Ivan Veselic), Markov Process. Related Fields, 9 (2003), 717--728, proceedings of the conference "Aspects Mathematiques des Systemes Aleatoires et de la Mecanique Statistique", held in the honour of L. Pastur, May 2002, Marseille (math-ph/0212057)
Ergodic theory and discrete one-dimensional random Schr"odinger operators: uniform existence of the Lyapunov exponent, Contemporary Mathematics 327 (2003), 223--238. ps-file pdf-file
Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra (with Michael Baake), to appear in: Ergodic Theory & Dynamical Systems. (math.DS/0302061)
Delone dynamical systems: ergodic features and applications (with Steffen Klassert and Peter Stollmann), in: Quasicrystals, Structure and Physical Properties, H.-R. Trebin (ed.), 2003, Wiley-VCH, Berlin, ISBN 3-527-40399-X.
ps-file , pdf-file
Aperiodic order and quasicrystals: spectral properties, Annales Henri Poincare 4, suppl 2 (2004).
(with Peter Stollmann) ps-file , pdf-file
Substitution dynamical systems: Characterization of linear repetitivity and applications (with David Damanik) (math.DS/0302231)
An ergodic theorem for Delone dynamical systems and existence of the
integrated density of states (with Peter Stollmann) (math-ph/0310017)
A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem (with David Damanik) (math.DS/04031901)
Deformation of Delone dynamical systems and pure point spectrum (with Michael Baake) (math.DS/0404155)