JOINT QUASIMODES, POSITIVE ENTROPY, AND QUANTUM UNIQUE ERGODICITY SHIMON BROOKS AND ELON LINDENSTRAUSS Abstract. We study joint quasimodes of the Laplacian and one Hecke operator on compact congruence surfaces, and give

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Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010 Equidistribution in homogeneous spaces and number theory Elon Lindenstrauss∗

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EXISTENCE AND WEYL’S LAW FOR SPHERICAL CUSP FORMS ELON LINDENSTRAUSS AND AKSHAY VENKATESH Abstract. Let G be a split adjoint semisimple group over Q and K∞ ⊂ G(R) a maximal compact subgroup. We shall give a uniform

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ENTROPY OF QUANTUM LIMITS JEAN BOURGAIN AND ELON LINDENSTRAUSS 1. Introduction In this paper we report some progress towards a conjecture of Rudnick and Sarnak regarding eigenfunctions of the Laplacian ∆ on a compact m

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August 19, 2010 THE FIELDS MEDALISTS Elon Lindenstrauss Citation: “For his results on measure

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INVARIANT MEASURES AND ARITHMETIC QUANTUM UNIQUE ERGODICITY ELON LINDENSTRAUSS Abstract. We classify measures on the locally homogeneous space Γ\ SL(2, R) × L which are invariant and have positive entropy under the dia

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HOMOGENEOUS ORBIT CLOSURES AND APPLICATIONS ELON LINDENSTRAUSS AND URI SHAPIRA In memory of Dan Rudolph Abstract. We give new classes of examples of orbits of the diagonal group in the space of unit volume lattices in Rd

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CORRECTIONS TO “ON QUANTUM UNIQUE ERGODICITY FOR Γ\H × H” ELON LINDENSTRAUSS We note that (∗∗) on page 920 of [1], as well as its derivation on page 921, has a sign error. In fact, and this will actually be use

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INVARIANT SETS AND MEASURES OF NONEXPANSIVE GROUP AUTOMORPHISMS ELON LINDENSTRAUSS AND KLAUS SCHMIDT Abstract. We prove that the restriction of a probability measure invariant under a nonhyperbolic, ergodic and totally i

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• Algebra
• Abstract algebra
• Mathematics
• Lie groups
• Lie algebras
• Field theory
• Representation theory
• Harmonic analysis
• Mixing
• Valuation
• Invariant measure
• Ergodic theory

MEAN DIMENSION AND AN EMBEDDING PROBLEM: AN EXAMPLE ELON LINDENSTRAUSS, MASAKI TSUKAMOTO Abstract. For any positive integer D, we construct a minimal dynamical system with mean dimension equal to D/2 that cannot be embed

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• Mathematics
• Mathematical analysis
• Algebra
• Functions and mappings
• Stochastic processes
• Algebraic geometry
• Differential topology
• Embedding
• Order theory
• Mixing
• Ample line bundle
• Mean dimension