No Where to Go But High: A Perspective on High Dimensional Expanders

No Where to Go But High: A Perspective on High Dimensional Expanders
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除了高之外无处可去:高维扩展器的视角

DOI:
10.48550/arxiv.2304.10106
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发表时间:
2023
期刊:
ArXiv
影响因子:
--
通讯作者:
T. Kaufman
T. Kaufman
中科院分区:
--
文献类型:
--
作者:
R. Gotlib;T. Kaufman

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“除了进去,没有地方可去”是奥修的一句众所周知的话。奥修的意思是说,我们所有问题的答案都应该通过观察我们自己来获得。在奥修的声明的释义,我们说:“没有哪里去,但高”。这意味着证明,对于各种看似无关的主题和问题,获得重大进展的唯一途径是通过一种称为高维扩展的新哲学(新领域)的棱镜。在本说明中,我们给出了一个介绍\脚注{这个介绍反映了作者的兴趣,并没有声称代表该领域的方式通过}的高维扩展哲学,以及它是如何有用的,最近在取得进展的各种问题,在看似无关的领域。这个展览是为了纪念我的母亲,莎拉考夫曼,她总是试图理解事物以某种方式表现的原因。这也是献给我的父亲埃利泽考夫曼的记忆。
"No Where to go but in"is a well known statement of Osho. Osho meant to say that the answers to all our questions should be obtained by looking into ourselves. In a paraphrase to Osho's statement we say"No Where to go but high". This meant to demonstrate that for various seemingly unrelated topics and questions the only way to get significant progress is via the prism of a new philosophy (new field) called high dimensional expansion. In this note we give an introduction \footnote{This introduction reflects the authors' interests and by no mean claim to represent the field in a through way} to the high dimensional expansion philosophy, and how it has been useful recently in obtaining progress in various questions in seemingly unrelated fields. This exposition is dedicated to the memory of my mother, Sarah Kaufman, who was always trying to understand the reason why things behave in a certain way. It is also dedicated to the memory of my father Eliezer Kaufman.
通过高维扩展器进行本地可测试代码
DOI: --
发表时间: 2020
期刊: Electronic colloquium on computational complexity
影响因子: --
作者:
Dikstein, Y;Dinur, I;Harsha, P;Ron-Zewi, N.
通讯作者: Ron-Zewi, N.
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DOI: 10.1109/tit.2021.3097347
发表时间: 2021
影响因子: 2.5
作者:
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通讯作者: Jens Eberhardt