My Publication (last update May 1, 2006)

Please note: for papers which have already appeared, the version of the paper below may be less up to date than the published one.

  1. Lowering Topological Entropy, J. D'Analyse Math. 67, 1995, pp 231--267
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  2. Measurable Distal and Topological Distal Systems, Ergod. Th. & Dynam. Systems Vol. 19 (1999), pp 1063--1076
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  3. Entropy and Convolutions on the Circle, with D. Meiri and Y. Peres, Ann. of Math. Vol. 149 (1999), pp. 871--904
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  4. Indistinguishable Sceneries, Rand. Struc. & Algorithms Vol. 14 (1999), No. 1, pp. 71--86
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  5. Mean Topological Dimension, with B. Weiss, Israel J. of Math. Vol. 115 (2000), pp. 1--24
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  6. Mean Dimension, Small Entropy Factors, and an Embedding Theorem, Publ. Math. IHES no. 89 (1999) pp. 227--262
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  7. On Sets Invariant under the Action of the Diagonal Group, with Barak Weiss, Ergodic Theory Dynam. Systems 21 (2001), no. 5, 1481--1500.
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  8. Pointwise Theorems for Amenable Groups (research announcement), Electronic Research Announcements of the AMS, 1999, vol. 5, pp. 82--90.
  9. Pointwise Theorems for Amenable Groups, Invent. Math. 146 (2001), no. 2, 259--295.
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  10. $p$-adic Foliations and Equidistribution, Israel J. Math. 122 (2001), 29--42.
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  11. Bernoulli convolutions and an intermediate value theorem for entropy of K-partitions, with Yuval Peres and Wilhelm Schlag, J. d'Analyse Math 87 (2002), 337-367.
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  12. On quantum unique ergodicity for $\Gamma\backslash\H\times\H$, Internat. Math. Res. Notices 2001, no. 17, 913--933.
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    Corrections: PostScript DVI PDF
  13. Entropy of Quantum Limits, with Jean Bourgain, Comm. Math. Phys. 233 (2003), no. 1, 153--171.
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    Corrections and additions: DVI PDF
  14. On the projections of measures invariant under the geodesic flow, with Francois Ledrappier, Internat. Math. Res. Notices 2003, no. 9, 511-526.
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  15. Rigidity properties of Z^d-actions on tori and solenoids, with Manfred Einsiedler
    Electron. Res. Announc. Amer. Math. Soc. 9 (2003), 99-110.
  16. On Fractal Measures and Diophantine Approximation, with Dmitry Kleinbock and Barak Weiss, Selecta Math., 10:479--523, 2004.
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  17. Invariant sets and measures of nonexpansive group automorphisms, with Klaus Schmidt, Israel J. Math., 144:29--60, 2004.
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  18. Rigidity of multiparameter actions (survey paper). Israel J. Math., 149:199--226, 2005.
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  19. Symbolic representations of nonexpansive group automorphisms, with Klaus Schmidt Israel J. Math., 149:227--266, 2005
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  20. Invariant measures and arithmetic quantum unique ergodicity, Ann. of Math. (2), 163(1):165--219, 2006.
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  21. Invariant measures and the set of exceptions to Littlewoods conjecture, with Manfred Einsiedler and Anatole Katok, to appear in Annals of Math. (45 pages). REVISED VERION 19/January/2005
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  22. Existence and Weyl's law for spherical cusp forms, with Akshay Venkatesh, to appear in GAFA (25 pages), 2005.
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  23. Arithmetic quantum unique ergodicity and adelic dynamics. to appear in the proceedings of Current Developments in Mathematics conference, Harvard 2004 (30 pages), 2005.
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  24. Joining of higher rank diagonalizable actions on locally homogeneous spaces, with Manfred Einsiedler, submitted (29 pages), 2005.
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  25. Diagonal flows on locally homogeneous spaces and number theory, with Manfred Einsieder, to appear in the Proceedings of the International Congress of Mathematicians 2006 (29 pages).
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