云南高校图书馆联盟文献共享服务平台- THEOREM

THEOREM: 作品数：1453被引量：1738H指数：17; 导出分析报告; 相关领域：理学更多>>; 相关作者：梅凤翔梁宇学郭懋正曹小红孟彬更多>>; 相关机构：北京理工大学首都师范大学山东大学北京大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

ON THE MEASURE CONCENTRATION OF INFINITELY DIVISIBLE DISTRIBUTIONS: 《Acta Mathematica Scientia》2025年第2期473-492,共20页Jing ZHANG Zechun HU Wei SUN; supported by the National Natural Science Foundation of China(12161029,12171335);the National Natural Science Foundation of Hainan Province(121RC149);the Science Development Project of Sichuan University(2020SCUNL201);the Natural Sciences and Engineering Research Council of Canada(4394-2018).; Let I be the set of all infinitely divisible random variables with finite second moments,I_(0)={X∈I;Var(X)>0},P_(I)=inf_(x∈I)P{|X-E[X]|≤√Var(X)}and P_(I_(0))=inf P{|X-E[X]|<√Var(X)}.Firstly,we prove that P_(I)≥P...; 关键词：measure concentration infinitely divisible distribution geometric distribution Poisson distribution Berry-Esseen theorem

A VECTOR BUNDLE VALUED MIXED HARD LEFSCHETZ THEOREM: 《Acta Mathematica Scientia》2025年第2期514-524,共11页Zeng CHEN Guanxiang WANG; supported by the National key R and D Program of China 2020YFA0713100;the NSFC(12141104,12371062 and 12431004).; In this paper,we obtain a vector bundle valued mixed hard Lefschetz theorem.The argument is mainly based on the works of Tien-Cuong Dinh and Viet-Anh Nguyen.; 关键词：hard Lefschetz theorem holomorphic vector bundle Hermitian fat vector bundle

The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes: 《Science China Mathematics》2025年第4期1001-1014,共14页Yaohua Wang Xiao Zhang; supported by National Natural Science Foundation of China(Grant No.12326602);the special foundation for Guangxi Ba Gui Scholars and Junwu Scholars。; The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch(2022)and for the non-spin case by Chu and Zhu(2024).In this paper,we generalize the positive energy theorem f...; 关键词：positive energy theorem asymptotically anti-de Sitter spacetimes weighted initial data set

Solution of a Time-Space Tempered Fractional Diffusion-Wave Equation and its Theoretical Aspects: 《Acta Mathematicae Applicatae Sinica》2025年第1期1-26,共26页Pratibha VERMA Surabhi TIWARI; This article proves the existence and uniqueness conditions of the solution of two-dimensional time-space tempered fractional diffusion-wave equation. We find analytical solution of the equation via the two-step Adomi...; 关键词：Caputo fractional derivative two-step Adomian decomposition method time-space tempered fractional di usion-wave equation Riesz derivative Ulam-Hyers stability xed point theorem

Hausdorff Measure of Space Anisotropic Gaussian Processes with Non-stationary Increments: 《Acta Mathematicae Applicatae Sinica》2025年第1期114-132,共19页Jun WANG Zhen-long CHEN Wei-jie YUAN Guang-jun SHEN; partially supported by National Natural Science Foundation of China(12371150,12071003);Natural Science Foundation of Anhui Polytechnic University(2022AH050955,2022YQQ025,Xjky2022163);Zhejiang Province Philosophy and Social Science Planning Routine Subject(24NDJC131YB).; Let X={X(t),t∈R+} be a centered space anisotropic Gaussian process values in R^(d) with non-stationary increments,whose components are independent but may not be identically distributed.Under certain conditions,then ...; 关键词：Hausdorff measure self-similar Gaussian processes non-stationary increment Lamperti theorem

Generic singularities for 2D pressureless flows: 《Science China Mathematics》2025年第3期559-576,共18页Alberto Bressan Geng Chen Shoujun Huang; supported by U.S.National Science Foundation(Grant No.DMS2006884)(singularities and error bounds for hyperbolic equations);supported by U.S.National Science Foundation(Grant Nos.DMS-2008504 and DMS-2306258);supported by Zhejiang Normal University(Grant Nos.YS304222929 and ZZ323205020522016004)。; In this paper,we consider the Cauchy problem for pressureless gases in two space dimensions with the generic smooth initial data(density and velocity).These equations give rise to singular curves,where the mass has a ...; 关键词：pressureless gases formation of singularities generic data Cauchy-Kovalevskaya theorem

ECHOS OF THE STEINER-LEHMUS EQUAL BISECTORS THEOREM: 《Acta Mathematica Scientia》2025年第1期257-263,共7页Christoph BÖRGERS Eric L.GRINBERG Mehmet ORHON Junhao SHEN; The Steiner-Lehmus equal bisectors theorem originated in the mid 19th century.Despite its age,it would have been accessible to Euclid and his contemporaries.The theorem remains evergreen,with new proofs continuing to ...; 关键词：Steiner-Lehmus theorem equal bisectors

Lifting Theorem for the Virtual Pure Braid Groups: 《Chinese Annals of Mathematics,Series B》2025年第1期85-114,共30页Valeriy G.BARDAKOV Jie WU; supported by the National Natural Science Foundation of China(No.11971144);the State Contract of the Sobolev Institute of Mathematics;SB RAS(No.I.1.5,FWNF-2022-0009);the High-level Scientific Research Foundation of Hebei Province;the Start-up Research Fund from Yanqi Lake Beijing Institute of Mathematical Sciences and Applications。; In this article the authors prove theorem on Lifting for the set of virtual pure braid groups.This theorem says that if they know presentation of virtual pure braid group V P_(4),then they can find presentation of V P...; 关键词：Virtual braid group Pure braid group Simplicial group Virtual cabling

On the Coprime Labelings of Hypergraph: 《Wuhan University Journal of Natural Sciences》2025年第1期57-59,共3页ZHANG Zizhou ZHANG Shaohua; Supported by the Natural Science Foundation of Chongqing(CSTB2022NSCQ-MSX0884)。; Graph labeling is the assignment of integers to the vertices,edges,or both,subject to certain conditions.Accordingly,hypergraph labeling is also the assignment of integers to the vertices,edges,or both,subject to cert...; 关键词：coprime mapping theorem of Pomerance and Selfridge linear hypergraphs prime hypergraphs

The Spectral Einstein Functional and the Noncommutative Residue for Manifolds with Boundary: 《数学进展》2025年第1期187-196,共10页WU Tong WANG Yong; Supported by NSFC(No.11771070)。; In this paper,we define the spectral Einstein functional associated with the Dirac operator for manifolds with boundary.And we give the proof of Kastler-Kalau-Walze type theorem for the spectral Einstein functional as...; 关键词：spectral Einstein functional Dirac operator Kastler–Kalau–Walze type theorem

THEOREM