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INEQUALITY: 作品数：1091被引量：1500H指数：17; 导出分析报告; 相关领域：理学更多>>; 相关作者：徐利治高明哲赵长健刘证王杰更多>>; 相关机构：大连理工大学吉首大学湖南大学北京师范大学更多>>; 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中国博士后科学基金广东省自然科学基金更多>>

The Local Poincaré Inequality of Stochastic Dynamic and Application to the Ising Model: 《Acta Mathematicae Applicatae Sinica》2025年第2期305-336,共32页Kai-yuan CUI Fu-zhou GONG; supported by the National Natural Science Foundation of China(No.12288201).; Inspired by the idea of stochastic quantization proposed by Parisi and Wu,we reconstruct the transition probability function that has a central role in the renormalization group using a stochastic differential equatio...; 关键词：Ising model stochastic quantization local Poincaréinequality Bakry-Émery curvature RENORMALIZATION

Hörmander oscillatory integral operators:A revisit: 《Science China Mathematics》2025年第4期873-890,共18页Chuanwei Gao Zhong Gao Changxing Miao; supported by the National Key R&D Program of China(Grant No.2022YFA1005700);supported by National Natural Science Foundation of China(Grant No.12301121);supported by National Natural Science Foundation of China(Grant No.12371095)。; In this paper,we present new proofs for both the sharp Lp estimate and the decoupling theorem for the Hörmander oscillatory integral operator.The sharp Lp estimate was previously obtained by Stein(1986)and Bourgain an...; 关键词：Hormander oscillatory integral operators bilinear method decoupling inequality induction argument Broad-Narrow analysis

LESSONS FROM NUJIANG: 《Beijing Review》2025年第15期16-17,共2页; I come from Brazil,a country where poverty isn’t just part of our history but remains part of our present.I grew up surrounded by it.It was in the streets,in the news,in the small daily negotiations people made just ...; 关键词：INEQUALITY NEGOTIATION POVERTY HISTORY PRESENT

Beating the Butterfly Defect: 《Beijing Review》2025年第15期22-23,共2页; Having served as an economic advisor to late South African President Nelson Mandela and then as vice president of the World Bank,Ian Goldin,a professor of globalization and development at Oxford University,has long en...; 关键词：globalization development DEVELOPMENT GLOBALIZATION risks economic advisor INEQUALITY social division World Bank

Quantum convolution inequalities on Frobenius von Neumann algebras: 《Science China Mathematics》2025年第3期615-636,共22页Linzhe Huang Zhengwei Liu Jinsong Wu; supported by Beijing Municipal Science&Technology Commission,Administrative Commission of Zhongguancun Science Park(Grant No.Z221100002722017);supported by grants from Beijing Institute of Mathematical Sciences and Applications;supported by China’s National Key R&D Programmes(Grant No.2020YFA0713000);Tsinghua University(Grant No.04200100122);Templeton Religion Trust(TRT 159);supported by Beijing Natural Science Foundation Key Program(Grant No.Z220002);supported by National Natural Science Foundation of China(Grant Nos.12031004 and 12371124)。; In this paper,we introduce Frobenius von Neumann algebras and study quantum convolution inequalities.In this framework,we unify quantum Young's inequality on quantum symmetries such as subfactors,and fusion bi-algebra...; 关键词：Frobenius von Neumann algebra quantum Young's inequality quantum entropic convolution inequality unitary categorification

An Approximation Method for Singular Trudinger-Moser Inequality: 《应用数学》2025年第1期64-70,共7页ZHU Maochun XU Wenyan JIANG Rou; In this paper,we construct a power type functional which is the approximation functional of the Singular Trudinger-Moser functional.Moreover,we obtain the concentration level of the functional and show it converges to...; 关键词：Singular Trudinger-Moser inequality Approximation functional Concentration level

A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS: 《Acta Mathematica Scientia》2025年第1期52-71,共20页Xiao LI Jiazu ZHOU; Supported in part by NSFC(12071378,12461009),20XLB012,KJQN202100527,CSTB2022NSCQ-MSX0259 and KJQN202300557.; In this paper,the Orlicz centroid function for log-concave functions is introduced.A rearrangement inequality of the Orlicz centroid function for log-concave functions is obtained.The rearrangement inequality implies ...; 关键词：centroid bodies Busemann-Petty centroid inequality log-concave functions Steiner symmetrization

MODIFIED BRASCAMP-LIEB INEQUALITIES AND LOG-SOBOLEV INEQUALITIES FOR ONE-DIMENSIONAL LOG-CONCAVE MEASURE: 《Acta Mathematica Scientia》2025年第1期104-117,共14页Denghui WU Jiazu ZHOU; Supported in part by the NSFC(12071378,12461009);the Natural Science Basic Research Program of Shaanxi(2023-JC-YB-036);the Shaanxi Fundamental Science Research Project for Mathematics and Physics(23JSQ033).; In this paper,we develop Maurey’s and Bobkov-Ledoux’s methods to prove modified Brascamp-Lieb inequalities and log-Sobolev inequalities for one-dimensional log-concave measure.To prove these inequalities,the harmoni...; 关键词：Brunn-Minkowski inequality Prékopa-Leindler inequality Brascamp-Lieb inequality log-Sobolev inequality log-concave measure

Environmental Inequality in China’s Urban Expansion:A Case Study of Guangzhou,China: 《Chinese Geographical Science》2025年第1期187-202,共16页WANG Shaogu SHEN Jing; Under the auspices of the National Natural Science Foundation of China(No.42271181,41871111)。; Environmental inequality is a prevalent issue in developing countries undergoing urban expansion.Urban expansion induces the formation and evolution of environmental inequality by creating environmental and structural...; 关键词：environmental inequality urban expansion spatiotemporal evolution additive semiparametric quantile regression Guangzhou China

Secular trend and projection of overweight and obesity among Chinese children and adolescents aged 7-18 years from 1985 to 2019:Rural areas are becoming the focus of investment: 《Chinese Medical Journal》2025年第3期311-317,共7页Jiajia Dang Yunfei Liu Shan Cai Panliang Zhong Di Shi Ziyue Chen Yihang Zhang Yanhui Dong Jun Ma Yi Song; Natural Science Foundation of Beijing(Nos.7222247 to YS,7222244 to YD);National Natural Science Foundation of China(Nos.82273654 to YS,82103865 to YD); Background:The urban-rural disparities in overweight and obesity among children and adolescents are narrowing,and there is a need for long-term and updated data to explain this inequality,understand the underlying mec...; 关键词：Children and adolescents OVERWEIGHT OBESITY Urban-rural inequality PREVALENCE Prediction

INEQUALITY