发布求助
文献互助 智能选刊 最新文献

BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series最新文献

筛选
英文 中文
Pinned point configurations and Hausdorff dimension 钉点结构和豪斯多夫尺寸
BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/2616-7182/bulmathenu.2022/1.3
A. Iosevich, S. Mkrtchyan, Tao Shen
{"title":"Pinned point configurations and Hausdorff dimension","authors":"A. Iosevich, S. Mkrtchyan, Tao Shen","doi":"10.32523/2616-7182/bulmathenu.2022/1.3","DOIUrl":"https://doi.org/10.32523/2616-7182/bulmathenu.2022/1.3","url":null,"abstract":"We prove that if the Hausdorff dimension of a compact subset E of Rd with d≥2 is sufficiently large, and if G is a star-like graph with two parts, and each of its parts is arigid graph, then the Lebesgue measure in the appropriate dimension, of the set of distances in E specified by the graph is positive. We also prove that ifdimH(E)is sufficiently large, then∫νG(r~t)dνG(~t)>0,whereνGis the measure on the space of distances specified by G which is induced by a Frostman measure. In particular, this means that for any r>0 there exist many configurations encoded by ~t with vertices in E such that the vertices of r~t are also in E.","PeriodicalId":286555,"journal":{"name":"BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116482585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Novikov coalgebras
BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/2616-7182/bulmathenu.2022/2.1
D. Kozybaev, A. Naurazbekova
{"title":"The Novikov coalgebras","authors":"D. Kozybaev, A. Naurazbekova","doi":"10.32523/2616-7182/bulmathenu.2022/2.1","DOIUrl":"https://doi.org/10.32523/2616-7182/bulmathenu.2022/2.1","url":null,"abstract":"In the present paper, necessary and sufficient conditions are found under which a coalgebra is a left-symmetriccoalgebra. A method for constructing coalgebras is described. An example of a left-symmetric coalgebra is constructed.Necessary and sufficient conditions are given under which a left-symmetric coalgebra is a Novikov coalgebra. An exampleof a non-locally finite Novikov coalgebra is constructed.","PeriodicalId":286555,"journal":{"name":"BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129734464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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
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