ON THE PROJECTIONS OF MEASURES INVARIANT UNDER THE GEODESIC FLOW FRANC ¸ OIS LEDRAPPIER AND ELON LINDENSTRAUSS 1. Introduction

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• Mathematical analysis
• Measure theory
• Generalized functions
• Constructible universe
• Distribution
• Support
• Symbol
• Table of stars with Bayer designations

SOME EXAMPLES HOW TO USE MEASURE CLASSIFICATION IN NUMBER THEORY ELON LINDENSTRAUSS 1. Introduction 1.1. Ergodic theory has proven itself to be a powerful method to tackle

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• Ergodic theory
• Mathematical analysis
• Mathematics
• Dynamical systems
• Stochastic processes
• Topological groups
• Diophantine approximation
• Ergodicity
• Equidistributed sequence
• Invariant measure
• Irrational rotation
• Mixing

Ergodic theory of the space of measured laminations Elon Lindenstrauss∗ and Maryam Mirzakhani† April 19,

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• Mathematical analysis
• Mathematics
• Ergodic theory
• Analysis
• Stochastic processes
• Orbifold
• Invariant measure
• Geodesic
• Ergodicity
• Differential geometry of surfaces
• Amenable group
• Commutation theorem

The work of Elon Lindenstrauss Harry Furstenberg I’ve been asked to describe some of the achievements of Elon Lindenstrauss our Fields medalist. Elon Lindenstrauss’s work continues a tradition of interaction between

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• Mathematics
• Algebra
• Geometry
• Dynamical systems
• Lie groups
• Conjectures
• Diophantine approximation
• Ergodic theory
• Oppenheim conjecture
• Littlewood conjecture
• Anatole Katok
• Elon Lindenstrauss

Elon Lindenstrauss Citation: “For his results on measure rigidity in ergodic theory, and their applications to number theory.” Elon Lindenstrauss has developed extraordinarily powerful theoretical tools in ergodic th

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• Ergodic theory
• Dynamical systems
• Stochastic processes
• Diophantine approximation
• Anatole Katok
• Elon Lindenstrauss
• Littlewood conjecture
• Ergodicity
• Ergodic
• Chaos theory
• Invariant measure
• Manfred Einsiedler

GRAPH EIGENFUNCTIONS AND QUANTUM UNIQUE ERGODICITY SHIMON BROOKS AND ELON LINDENSTRAUSS Abstract: We apply the techniques of [BL10] to study joint eigenfunctions of the Laplacian and one Hecke operator on compact congrue

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THE DISTRIBUTION OF CLOSED GEODESICS ON THE MODULAR SURFACE, AND DUKE’S THEOREM MANFRED EINSIEDLER, ELON LINDENSTRAUSS, PHILIPPE MICHEL, AND AKSHAY VENKATESH Abstract. We give an ergodic theoretic proof of a theorem o

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• Algebraic number theory
• Quadratic forms
• Field theory
• Discriminant
• Algebraic number field
• Quadratic field
• Ideal class group
• Binary quadratic form
• Differential geometry of surfaces
• Fundamental discriminant

NON-LOCALIZATION OF EIGENFUNCTIONS ON LARGE REGULAR GRAPHS SHIMON BROOKS AND ELON LINDENSTRAUSS 1. Introduction The extent to which eigenfunctions of the Laplacian may localize

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• Fourier analysis
• Orthogonal polynomials
• Rotational symmetry
• Atomic physics
• Harmonic analysis
• Spherical harmonics
• Plancherel theorem for spherical functions
• Chebyshev polynomials
• Sine

SOME EFFECTIVE RESULTS FOR ×a × b JEAN BOURGAIN, ELON LINDENSTRAUSS, PHILIPPE MICHEL AND AKSHAY VENKATESH In memory of Bill Parry Abstract. We provide effective versions of theorems of Furstenberg and RudolphJohnson r

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• Measure theory
• Support
• Dyadic cubes
• Central limit theorem

SYMBOLIC REPRESENTATIONS OF NONEXPANSIVE GROUP AUTOMORPHISMS ELON LINDENSTRAUSS AND KLAUS SCHMIDT Abstract. If α is an irreducible nonexpansive ergodic automorphism of a compact abelian group X (such as an irreducible n

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• Ergodic theory
• Stochastic processes
• Operator theory
• Mixing
• Symbol
• Invariant measure
• Ergodicity
• Constructible universe
• Von Neumann algebra
• Vertex operator algebra
• Differential forms on a Riemann surface