INVARIANT MEASURES AND THE SET OF EXCEPTIONS TO LITTLEWOOD’S CONJECTURE MANFRED EINSIEDLER, ANATOLE KATOK, AND ELON LINDENSTRAUSS Abstract. We classify the measures on SL(k, R)/ SL(k, Z) which are invariant and ergodic

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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

THE WORK OF EINSIEDLER, KATOK AND LINDENSTRAUSS ON THE LITTLEWOOD CONJECTURE AKSHAY VENKATESH Contents 1.

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HARDY-LITTLEWOOD VARIETIES AND SEMISIMPLE GROUPS ´v Rudnick Mikhail Borovoi and Zee Introduction

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• Conjectures
• Diophantine geometry
• Weil conjecture on Tamagawa numbers
• Algebraic number field
• Maximal function
• Hardy–Littlewood tauberian theorem
• Abstract algebra
• Mathematical analysis
• Mathematics

[4] M. Einsiedler, A. Katok, E. Lindenstrauss. Invariant measures and the set of exceptions to Littlewood’s conjecture. Ann. of Math[removed]), no. 2, 513–560.

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