The work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture

The work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture
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艾因西德勒、卡托克和林登斯特劳斯关于利特尔伍德猜想的工作

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发表时间:
2007
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通讯作者:
Akshay Venkatesh
Akshay Venkatesh
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作者:
Akshay Venkatesh

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这篇文章是我在2007年1月新奥尔良AMS时事公报上的(预期的)演讲的(稍微扩展的)写作。这是一个关于Einsiedler,Katok和Lindenstrauss关于Littlewood猜想的工作的简要报告[5]。它不打算在任何意义上的专家,是,事实上,针对读者没有任何具体的背景,无论是在测量理论,动力学或数论。任何有遍历理论背景的读者都可以通过查阅原始论文或这些作者撰写的调查之一得到更好的服务:见[7]和[12]。
This document is intended as a (slightly expanded) writeup of my (anticipated) talk at the AMS Current Events Bulletin in New Orleans, January 2007. It is a brief report on the work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture [5]. It is not intended in any sense for specialists and is, indeed, aimed at readers without any specific background either in measure theory, dynamics or number theory. Any reader with any background in ergodic theory will be better served by consulting either the original paper, or one of the surveys written by those authors: see [7] and [12].