Cohen–Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields
Author:
Affiliation:
1. Department of Mathematics, University of Michigan, Ann Arbor, Michicgan, USA
2. Department of Mathematics, University of Michigan, Ann Arbor, Michigan, USA
Publisher
Duke University Press
Subject
General Mathematics
Reference19 articles.
1. W. Rudin, Real and complex analysis, 3rd Ed., McGraw-Hill, New York, 1987.
2. I. Boreico, Statistics of random integral matrices, Ph.D. dissertation, Stanford University, 2016.
3. H. Cohen and H. W. Lenstra Jr., “Heuristics on class groups of number fields” in Number Theory, Noordwijkerhout 1983, (Noordwijkerhout, 1983), Lecture Notes Math. 1068 Springer, Berlin, 33–62.
4. J. S. Ellenberg, A. Venkatesh, and C. Westerland, Homological stability for Hurwitz spaces and the Cohen–Lenstra conjecture over function fields, Ann. of Math. (2) 183 (2016), no. 3, 729–786.
5. N. J. Fine and I. N. Herstein, The probability that a matrix be nilpotent, Illinois J. Math. 2 (1958), no. 4A, 499–504.
Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Local limits in p$p$‐adic random matrix theory;Proceedings of the London Mathematical Society;2024-08-21
2. Mixed moments and the joint distribution of random groups;Journal of Algebra;2024-03
3. Joint distribution of the cokernels of random p-adic matrices II;Forum Mathematicum;2024-02-20
4. Polynomial equations for matrices over integers modulo a prime power and the cokernel of a random matrix;Linear Algebra and its Applications;2023-11
5. Universality of the cokernels of random -adic Hermitian matrices;Transactions of the American Mathematical Society;2023-09-28
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3