World's Best Scientists 2026 revealed!

Research.com Recognitions

  • 2012 - Member of Academia Europaea
  • 2010 - Fields Medal of International Mathematical Union (IMU) For his results on measure rigidity in ergodic theory, and their applications to number theory.

Overview

Elon Lindenstrauss is affiliated with the Hebrew University of Jerusalem in Israel. Their research primarily focuses on Mathematics, with a significant output of publications across several subfields including Mathematical Physics, Geometry and Topology, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Algebra and Number Theory.

The scientist's work covers a range of topics, notably in the areas of Mathematical Dynamics and Fractals, Geometric and Algebraic Topology, Advanced Algebra and Geometry, Finite Group Theory Research, Topological and Geometric Data Analysis, Advanced Operator Algebra Research, and Advanced Combinatorial Mathematics.

Lindenstrauss has contributed to various academic journals and repositories, with frequent publications in arXiv (Cornell University), Journal d Analyse Mathématique, International Mathematics Research Notices, Journal of Modern Dynamics, and Inventiones mathematicae.

Recent papers authored or coauthored by Elon Lindenstrauss include:

  • "Quantitative behavior of unipotent flows and an effective avoidance principle," 2023, Journal d Analyse Mathématique
  • "Polynomial effective density in quotients of $${\\mathbb {H}}^3$$ and $${\\mathbb {H}}^2\\times {\\mathbb {H}}^2$$," 2022, Inventiones mathematicae

Other related works include:

  • "Affine Random Walks on the Torus," 2020, International Mathematics Research Notices
  • "Horospherical invariant measures and a rank dichotomy for Anosov groups," 2023, Journal of Modern Dynamics
  • "On Radon Measures Invariant Under Horospherical Flows on Geometrically Infinite Quotients," 2021, International Mathematics Research Notices

Frequent collaborators throughout their career include Zhiren Wang, Amir Mohammadi, Or Landesberg, Weikun He, and Tsviqa Lakrec.

Lindenstrauss has received formal recognition through awards such as membership in the Academia Europaea since 2012 and the Fields Medal from the International Mathematical Union (IMU) in 2010, granted for work on measure rigidity in ergodic theory and its applications to number theory.

Best Publications

  • Invariant measures and arithmetic quantum unique ergodicity

    Elon Lindenstrauss

  • Mean topological dimension

    Elon Lindenstrauss;Benjamin Weiss

  • Pointwise theorems for amenable groups

    Elon Lindenstrauss

  • Invariant measures and the set of exceptions to Littlewood's conjecture

    Manfred Einsiedler;Anatole Katok;Elon Lindenstrauss

  • Mean dimension, small entropy factors and an embedding theorem

    Elon Lindenstrauss

  • On fractal measures and diophantine approximation

    Dmitry Kleinbock;Elon Lindenstrauss;Elon Lindenstrauss;Barak Weiss

  • Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus

    Jean Bourgain;Alex Furman;Elon Lindenstrauss;Shahar Mozes

  • Entropy of Quantum Limits

    Jean Bourgain;Elon Lindenstrauss

  • From Rate Distortion Theory to Metric Mean Dimension: Variational Principle

    Elon Lindenstrauss;Masaki Tsukamoto

  • Mean dimension and an embedding problem: An example

    Elon Lindenstrauss;Masaki Tsukamoto

  • Distribution of periodic torus orbits on homogeneous spaces

    Manfred Einsiedler;Elon Lindenstrauss;Philippe Michel;Akshay Venkatesh

  • Existence and Weyl’s law for spherical cusp forms

    Elon Lindenstrauss;Akshay Venkatesh

  • Non-localization of eigenfunctions on large regular graphs

    Shimon Brooks;Elon Lindenstrauss

  • Rigidity properties of ℤ^{}-actions on tori and solenoids

    Manfred Einsiedler;Elon Lindenstrauss;Elon Lindenstrauss

  • Mean dimension of $\mathbb{Z}^k$-actions

    Yonatan Gutman;Elon Lindenstrauss;Masaki Tsukamoto;Masaki Tsukamoto

  • Distribution of periodic torus orbits and Duke's theorem for cubic fields

    Manfred Einsiedler;Elon Lindenstrauss;Philippe Michel;Akshay Venkatesh

  • On sets invariant under the action of the diagonal group

    Elon Lindenstrauss;Barak Weiss

  • Lowering topological entropy

    Elon Lindenstrauss

  • Singular systems of linear forms and non-escape of mass in the space of lattices

    S. Kadyrov;D. Y. Kleinbock;E. Lindenstrauss;G. A. Margulis

  • Diagonal actions on locally homogeneous spaces

    M. Einsiedler;E. Lindenstrauss

Frequent Co-Authors

Philippe Michel
Philippe Michel École Polytechnique Fédérale de Lausanne
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Peter Sarnak
Peter Sarnak Princeton University
Gregory Margulis
Gregory Margulis Yale University
Dmitry Kleinbock
Dmitry Kleinbock Brandeis University
Amir H. Mohammadi
Amir H. Mohammadi University of KwaZulu-Natal
Gilles Pisier
Gilles Pisier Texas A&M University
Anatole Katok
Anatole Katok Pennsylvania State University
Vitali Milman
Vitali Milman Tel Aviv University
Ingrid Daubechies
Ingrid Daubechies Duke University

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