发布求助
文献互助 智能选刊 最新文献

Bulletin of the American Mathematical Society最新文献

筛选
英文 中文
Book Review: A course on rough paths: With an introduction to regularity structures; Second edition 书评:关于粗糙路径的课程:介绍规则结构;第二版
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2022-01-04 DOI: 10.1090/bull/1763
A. Lejay
{"title":"Book Review: A course on rough paths: With an introduction to regularity structures; Second edition","authors":"A. Lejay","doi":"10.1090/bull/1763","DOIUrl":"https://doi.org/10.1090/bull/1763","url":null,"abstract":"","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2022-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45491019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Probabilistic view of voting, paradoxes, and manipulation 投票的概率观、悖论和操纵
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-12-02 DOI: 10.1090/bull/1751
Elchanan Mossel
{"title":"Probabilistic view of voting, paradoxes, and manipulation","authors":"Elchanan Mossel","doi":"10.1090/bull/1751","DOIUrl":"https://doi.org/10.1090/bull/1751","url":null,"abstract":"The Marquis de Condorcet, a French philosopher, mathematician, and political scientist, studied mathematical aspects of voting in the eighteenth century. Condorcet was interested in studying voting rules as procedures for aggregating noisy signals and in the paradoxical nature of ranking three or more alternatives. We survey some of the main mathematical models, tools, and results in a theory that studies probabilistic aspects of social choice. Our journey will take us through major results in mathematical economics from the second half of the twentieth century, through the theory of Boolean functions and their influences and through recent results in Gaussian geometry and functional inequalities.","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43965602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
The isospectral problem for flat tori from three perspectives 平面复曲面的等谱问题的三个视角
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-10-18 DOI: 10.1090/bull/1770
E. Nilsson, J. Rowlett, Felix Rydell
{"title":"The isospectral problem for flat tori from three perspectives","authors":"E. Nilsson, J. Rowlett, Felix Rydell","doi":"10.1090/bull/1770","DOIUrl":"https://doi.org/10.1090/bull/1770","url":null,"abstract":"Flat tori are among the only types of Riemannian manifolds for which the Laplace eigenvalues can be explicitly computed. In 1964, Milnor used a construction of Witt to find an example of isospectral nonisometric Riemannian manifolds, a striking and concise result that occupied one page in the Proceedings of the National Academy of Science of the USA. Milnor’s example is a pair of 16-dimensional flat tori, whose set of Laplace eigenvalues are identical, in spite of the fact that these tori are not isometric. A natural question is, What is the lowest dimension in which such isospectral nonisometric pairs exist? This isospectral question for flat tori can be equivalently formulated in analytic, geometric, and number theoretic language. We explore this question from all three perspectives and describe its resolution by Schiemann in the 1990s. Moreover, we share a number of open problems.","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42342491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
From sum of two squares to arithmetic Siegel–Weil formulas 从平方和到算术Siegel–Weil公式
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-10-14 DOI: 10.1090/bull/1786
Chao Li
{"title":"From sum of two squares to arithmetic Siegel–Weil formulas","authors":"Chao Li","doi":"10.1090/bull/1786","DOIUrl":"https://doi.org/10.1090/bull/1786","url":null,"abstract":"The main goal of this expository article is to survey recent progress on the arithmetic Siegel–Weil formula and its applications. We begin with the classical sum of two squares problem and put it in the context of the Siegel–Weil formula. We then motivate the geometric and arithmetic Siegel–Weil formula using the classical example of the product of modular curves. After explaining the recent result on the arithmetic Siegel–Weil formula for Shimura varieties of arbitrary dimension, we discuss some aspects of the proof and its application to the arithmetic inner product formula and the Beilinson–Bloch conjecture. Rather than being intended as a complete survey of this vast field, this article focuses more on examples and background to provide easier access to several recent works by the author with W. Zhang and Y. Liu.","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47707005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Book Review: The random matrix theory of the classical compact groups 书评:经典紧群的随机矩阵理论
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-09-14 DOI: 10.1090/bull/1733
O. Zeitouni
{"title":"Book Review: The random matrix theory of the classical compact groups","authors":"O. Zeitouni","doi":"10.1090/bull/1733","DOIUrl":"https://doi.org/10.1090/bull/1733","url":null,"abstract":"","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44690823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rectangles, curves, and Klein bottles 矩形，曲线和克莱因瓶
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-09-13 DOI: 10.1090/bull/1755
R. Schwartz
{"title":"Rectangles, curves, and Klein bottles","authors":"R. Schwartz","doi":"10.1090/bull/1755","DOIUrl":"https://doi.org/10.1090/bull/1755","url":null,"abstract":"In this article I will survey some results about inscribing triangles and quadrilaterals in Jordan curves. I will focus on the recent result of Josh Greene and Andrew Lobb, which says that for any smooth embedded loop C and any aspect ratio λ, there are four points in C which make the vertices of a rectangle of aspect ratio λ.","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41881100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Book Review: Tensor products of C*-algebras and operator spaces 书评:C*-代数和算子空间的张量积
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-09-13 DOI: 10.1090/bull/1739
K. Davidson, V. Paulsen
{"title":"Book Review: Tensor products of C*-algebras and operator spaces","authors":"K. Davidson, V. Paulsen","doi":"10.1090/bull/1739","DOIUrl":"https://doi.org/10.1090/bull/1739","url":null,"abstract":"","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48347976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Helly-type problems Helly-type问题
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-08-19 DOI: 10.1090/BULL/1753
Imre B'ar'any, G. Kalai
{"title":"Helly-type problems","authors":"Imre B'ar'any, G. Kalai","doi":"10.1090/BULL/1753","DOIUrl":"https://doi.org/10.1090/BULL/1753","url":null,"abstract":"In this paper we present a variety of problems in the interface between combinatorics and geometry around the theorems of Helly, Radon, Carathéodory, and Tverberg. Through these problems we describe the fascinating area of Helly-type theorems and explain some of their main themes and goals.","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43137622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Atiyah’s work on holomorphic vector bundles and gauge theories Atiyah关于全纯向量束和规范理论的研究
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-08-05 DOI: 10.1090/bull/1748
S. Donaldson
{"title":"Atiyah’s work on holomorphic vector bundles and gauge theories","authors":"S. Donaldson","doi":"10.1090/bull/1748","DOIUrl":"https://doi.org/10.1090/bull/1748","url":null,"abstract":"The first part of the article surveys Atiyah’s work in algebraic geometry during the 1950s, mainly on holomorphic vector bundles over curves. In the second part we discuss his work from the late 1970s on mathematical aspects of gauge theories, involving differential geometry, algebraic geometry, and topology.","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48115225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Introduction to the Atiyah issue 阿蒂亚问题简介
IF 1.3 3区 数学
Bulletin of the American Mathematical Society Pub Date : 2021-08-05 DOI: 10.1090/bull/1750
S. Donaldson
{"title":"Introduction to the Atiyah issue","authors":"S. Donaldson","doi":"10.1090/bull/1750","DOIUrl":"https://doi.org/10.1090/bull/1750","url":null,"abstract":"","PeriodicalId":9513,"journal":{"name":"Bulletin of the American Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44423341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信