# My Publication (last update Aug. 9, 2013)

### Lowering Topological Entropy, J. D'Analyse Math. 67, 1995, pp 231--267 PostScript DVI Measurable Distal and Topological Distal Systems, Ergod. Th. & Dynam. Systems Vol. 19 (1999), pp 1063--1076 PostScript DVI Entropy and Convolutions on the Circle, with D. Meiri and Y. Peres, Ann. of Math. Vol. 149 (1999), pp. 871--904 PostScript DVI Indistinguishable Sceneries, Rand. Struc. & Algorithms Vol. 14 (1999), No. 1, pp. 71--86 PostScript DVI Mean Topological Dimension, with B. Weiss, Israel J. of Math. Vol. 115 (2000), pp. 1--24 PostScript DVI Mean Dimension, Small Entropy Factors, and an Embedding Theorem, Publ. Math. IHES no. 89 (1999) pp. 227--262 PostScript DVI 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 Pointwise Theorems for Amenable Groups (research announcement), Electronic Research Announcements of the AMS, 1999, vol. 5, pp. 82--90. Pointwise Theorems for Amenable Groups, Invent. Math. 146 (2001), no. 2, 259--295. PostScript DVI $p$-adic Foliations and Equidistribution, Israel J. Math. 122 (2001), 29--42. PostScript DVI 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 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 Entropy of Quantum Limits, with Jean Bourgain, Comm. Math. Phys. 233 (2003), no. 1, 153--171. PostScript DVI PDF Corrections and additions: DVI PDF 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 Rigidity properties of Z^d-actions on tori and solenoids, with Manfred Einsiedler Electron. Res. Announc. Amer. Math. Soc. 9 (2003), 99-110. On Fractal Measures and Diophantine Approximation, with Dmitry Kleinbock and Barak Weiss, Selecta Math., 10:479--523, 2004. PostScript PDF Invariant sets and measures of nonexpansive group automorphisms, with Klaus Schmidt, Israel J. Math., 144:29--60, 2004. DVI PDF Rigidity of multiparameter actions (survey paper). Israel J. Math., 149:199--226, 2005. PDF Symbolic representations of nonexpansive group automorphisms, with Klaus Schmidt Israel J. Math., 149:227--266, 2005 DVI PDF Invariant measures and arithmetic quantum unique ergodicity, Ann. of Math. (2), 163(1):165--219, 2006. DVI PDF 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. PDF Existence and Weyl's law for spherical cusp forms, with Akshay Venkatesh, Geom. Funct. Anal., 17(1):220--251, 2007. PDF Arithmetic quantum unique ergodicity and adelic dynamics. In the proceedings of Current Developments in Mathematics conference, Harvard 2004 (30 pages), 2005. PDF Invariant measures for multiparameter diagonalizable algebraic actions---a short survey. In European Congress of Mathematics, pages 247--256. Eur. Math. Soc., Z\"urich, 2005. PDF Joining of higher rank diagonalizable actions on locally homogeneous spaces, with Manfred Einsiedler, Duke Math. J., 138(2):203--232, 2007. PDF 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. PDF The distribution of periodic torus orbits on homogeneous spaces, with Manfred Einsiedler, Philippe Michel, and Akshay Venkatesh. To appear, Duke Math. Journal (42 pages). PDF 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. PDF Ergodic theory of the space of measured laminations, with Maryam Mirzakhani, Int. Math. Res. Not. (4) 2008, 49 pp. PDF 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). PDF 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. PDF 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. PDF Some effective results for $\times a, \times b$, with Jean Bourgain, Philippe Michel, and Akshay Venkatesh. Ergodic Theory Dynam. Systems 29 (2009), no. 6, 1705–1722. PDF Diagonal actions on locally homogeneous spaces, with Manfred Einsiedler. In Homogeneous flows, moduli spaces and arithmetic, 155–241, Clay Math. Proc., 10, Amer. Math. Soc., Providence, RI, 2010. PDF 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. PDF Non-localization of eigenfunctions on large regular graphs, with Shimon Brooks. Israel J. Math., 193(1):1--14, 2013. PDF Homogeneous orbit closures and applications, with Uri Shapira. Ergodic Theory Dynam. Systems, 32(2):785--807, 2012. PDF Graph eigenfunctions and quantum unique ergodicity, with Shimon Brooks. Comptes Rendus Mathematique, Volume 348, Issues 15-16, August 2010, Pages 829-834. PDF Equidistribution in homogeneous spaces and number theory. Proceedings of the International Congress of Mathematicians, Hyderabad 2010. PDF The distribution of closed geodesics on the modular surface, and Duke's theorem, with Manfred Einsiedler, Philippe Michel, and Akshay Venkatesh. To appear L’Enseignement Mathématique (50 pages). PDF Topological self-joinings of Cartan actions by toral automorphisms, with Zhiren Wang. Duke Math. J., 161(7):1305--1350, 2012. arXiv Joint quasimodes, positive entropy, and quantum unique ergodicity, with Shimon Brooks. Submitted (38 pages). PDF Mean dimension and an embedding problem: an example, with Masaki Tsukamoto. To appear in Israel J. Math.(10 pages). PDF On measures invariant under tori on quotients of semi-simple groups, with Manfred Einsiedler. Submitted (37 pages) PDF Hausdorff dimension and subgroups of {$SU(2)$}, with Nicolas de Saxc\'e. Submitted (17 pages). PDF Effective estimates on indefinite ternary forms, with Gregory Margulis. Submitted (46 pages). Dedicated to the memory of my father, Joram Lindenstrauss PDF

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