My Publication (last update Oct. 10, 2014)

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
    PostScript DVI
  2. Measurable Distal and Topological Distal Systems, Ergod. Th. & Dynam. Systems Vol. 19 (1999), pp 1063--1076
    PostScript DVI
  3. Entropy and Convolutions on the Circle, with D. Meiri and Y. Peres, Ann. of Math. Vol. 149 (1999), pp. 871--904
    PostScript DVI
  4. Indistinguishable Sceneries, Rand. Struc. & Algorithms Vol. 14 (1999), No. 1, pp. 71--86
    PostScript DVI
  5. Mean Topological Dimension, with B. Weiss, Israel J. of Math. Vol. 115 (2000), pp. 1--24
    PostScript DVI
  6. Mean Dimension, Small Entropy Factors, and an Embedding Theorem, Publ. Math. IHES no. 89 (1999) pp. 227--262
    PostScript DVI
  7. On Sets Invariant under the Action of the Diagonal Group, with Barak Weiss, Ergodic Theory Dynam. Systems 21 (2001), no. 5, 1481--1500.
    PostScript DVI
  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.
    PostScript DVI
  10. $p$-adic Foliations and Equidistribution, Israel J. Math. 122 (2001), 29--42.
    PostScript DVI
  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.
    PostScript DVI
  12. On quantum unique ergodicity for $\Gamma\backslash\H\times\H$, Internat. Math. Res. Notices 2001, no. 17, 913--933.
    PostScript DVI
    Corrections: PostScript DVI PDF
  13. Entropy of Quantum Limits, with Jean Bourgain, Comm. Math. Phys. 233 (2003), no. 1, 153--171.
    PostScript DVI PDF
    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.
    PostScript DVI PDF
  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.
    PostScript PDF
  17. Invariant sets and measures of nonexpansive group automorphisms, with Klaus Schmidt, Israel J. Math., 144:29--60, 2004.
    DVI PDF
  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
    DVI PDF
  20. Invariant measures and arithmetic quantum unique ergodicity, Ann. of Math. (2), 163(1):165--219, 2006.
    DVI PDF
  21. Invariant measures and the set of exceptions to Littlewoods conjecture, with Manfred Einsiedler and Anatole Katok, Ann. of Math. (2), 164(2):513--560, 2006.
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  22. Existence and Weyl's law for spherical cusp forms, with Akshay Venkatesh, Geom. Funct. Anal., 17(1):220--251, 2007.
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  23. Arithmetic quantum unique ergodicity and adelic dynamics. In the proceedings of Current Developments in Mathematics conference, Harvard 2004 (30 pages), 2005.
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  24. Invariant measures for multiparameter diagonalizable algebraic actions---a short survey. In European Congress of Mathematics, pages 247--256. Eur. Math. Soc., Z\"urich, 2005.
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  25. Joining of higher rank diagonalizable actions on locally homogeneous spaces, with Manfred Einsiedler, Duke Math. J., 138(2):203--232, 2007.
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  26. Diagonal flows on locally homogeneous spaces and number theory, with Manfred Einsieder. In International Congress of Mathematicians. Vol. II, pages 1731--1759. Eur. Math. Soc., Z\"urich, 2006.
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  27. The distribution of periodic torus orbits on homogeneous spaces, with Manfred Einsiedler, Philippe Michel, and Akshay Venkatesh. To appear, Duke Math. Journal (42 pages).
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  28. Some examples how to use measure classification in number theory. In Equidistribution in number theory, an introduction, volume 237 of NATO Sci. Ser. II Math. Phys. Chem., pages 261--303. Springer, Dordrecht, 2007.
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  29. Ergodic theory of the space of measured laminations, with Maryam Mirzakhani, Int. Math. Res. Not. (4) 2008, 49 pp.
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  30. Distribution of periodic torus orbits and Duke's theorem for cubic fields, with Manfred Einsiedler, Philippe Michel, and Akshay Venkatesh. To appear, Annals of Math. (58 pages).
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  31. On measures invariant under diagonalizable actions the rank one case and the general low entropy method, with Manfred Einsiedler. Journal of Modern Dynamics, 2(1):83--128, 2008.
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  32. Invariant measures and stiffness for non-abelian groups of toral automorphisms, with Jean Bourgain, Alex Furman, and Shahar Mozes. C. R. Math. Acad. Sci. Paris, 344(12):737--742, 2007.
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  33. Some effective results for $\times a, \times b$, with Jean Bourgain, Philippe Michel, and Akshay Venkatesh. Ergodic Theory Dynam. Systems 29 (2009), no. 6, 17051722.
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  34. Diagonal actions on locally homogeneous spaces, with Manfred Einsiedler. In Homogeneous flows, moduli spaces and arithmetic, 155241, Clay Math. Proc., 10, Amer. Math. Soc., Providence, RI, 2010.
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  35. Stationary measures and equidistribution for orbits of non-abelian semigroups on the torus, with Jean Bourgain, Alex Furman, and Shahar Mozes. J. Amer. Math. Soc., 24(1):231--280, 2011.
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  36. Non-localization of eigenfunctions on large regular graphs, with Shimon Brooks. Israel J. Math., 193(1):1--14, 2013.
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  37. Homogeneous orbit closures and applications, with Uri Shapira. Ergodic Theory Dynam. Systems, 32(2):785--807, 2012.
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  38. Graph eigenfunctions and quantum unique ergodicity, with Shimon Brooks. Comptes Rendus Mathematique, Volume 348, Issues 15-16, August 2010, Pages 829-834.
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  39. Equidistribution in homogeneous spaces and number theory. Proceedings of the International Congress of Mathematicians, Hyderabad 2010.
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  40. The distribution of closed geodesics on the modular surface, and Duke's theorem, with Manfred Einsiedler, Philippe Michel, and Akshay Venkatesh. Enseign. Math. (2), 58(3-4):249313, 2012.
    PDF
  41. Topological self-joinings of Cartan actions by toral automorphisms, with Zhiren Wang. Duke Math. J., 161(7):1305--1350, 2012.
    arXiv
  42. Joint quasimodes, positive entropy, and quantum unique ergodicity, with Shimon Brooks. Invent. Math., 198(1):219--259, 2014.
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  43. Mean dimension and an embedding problem: an example, with Masaki Tsukamoto. Israel Journal of Mathematics, pages 1--12, 2013.
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  44. On measures invariant under tori on quotients of semi-simple groups, with Manfred Einsiedler. To appear, Annals of Math. (37 pages)
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  45. Hausdorff dimension and subgroups of {$SU(2)$}, with Nicolas de Saxc\'e. To appear, Israel J. of Math. (17 pages).
    PDF
  46. Effective estimates on indefinite ternary forms, with Gregory Margulis. To appear, Israel J. of Math. (46 pages).
    Dedicated to the memory of my father, Joram Lindenstrauss
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  47. Entropy in the cusp and singular systems of linear forms, with S. Kadyrov, D. Y. Kleinbock, and G. A. Margulis. Submitted (23pp).
    arXiv:1407.5310
  48. Random walks in the group of euclidean isometries and self-similar measures, with Peter Varju.Submitted (62pp).
    arXiv:1405.4426
  49. Spectral gap in the group of affine transformations over prime fields, with Peter Varju. Submitted (26pp).
    arXiv:1409.3564

 
 
  Copyright notice: these papers are copyrighted, either by the respective publisher or by my co-authors and me.