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Notes on Linear Gossip Algorithms:Potentials and Challenges
《Journal of Systems Science & Complexity》2025年第1期98-128,共31页GERENCSER Balazs GERENCSER Laszlo 
supported by the Ministry of Innovation and Technology,NRDI(National Research,Development and Innovation Office)under Grant No.KKP 137490;its Autonomous Systems National Laboratory Program(ARNL)。
The authors consider the problem of reaching consensus over a communication network via asynchronous interaction between pairs of agents.A well-known method is the linear gossip algorithm due to Tsitsiklis(1984).Exten...
关键词：CONSENSUS gossip algorithms Lyapunov-exponents spectral gap 
MULTIFRACTAL ANALYSIS OF CONVERGENCE EXPONENTS FOR PRODUCTS OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS
《Acta Mathematica Scientia》2024年第4期1594-1608,共15页Lulu FANG Jihua MA Kunkun SONG Xin YANG 
supported by the Scientific Research Fund of Hunan Provincial Education Department(21B0070);the Natural Science Foundation of Jiangsu Province(BK20231452);the Fundamental Research Funds for the Central Universities(30922010809);the National Natural Science Foundation of China(11801591,11971195,12071171,12171107,12201207,12371072)。
For each real number x∈(0,1),let[a_(1)(x),a_(2)(x),…,a_n(x),…]denote its continued fraction expansion.We study the convergence exponent defined byτ(x)=inf{s≥0:∞∑n=1(a_(n)(x)a_(n+1)(x))^(-s)<∞},which reflects t...
关键词：continued fractions product of partial quotients Hausdorff dimension 
Statistical QoS Provisioning Architecture for 6G Satellite-Terrestrial Integrated Networks
《Journal of Communications and Information Networks》2024年第1期34-42,共9页Jingqing Wang Wenchi Cheng Wei Zhang Hui Liang 
supported by the Key Area Research and Development Program of Guangdong Province under Grant 2020B0101110003;in part by the National Natural Science Foundation of China under Grant 62341132;the National Key Research and Development Program of China under Grant 2021YFC3002102;the Key Research and Development Plan of Shaanxi Province under Grant 2022ZDLGY05-09;the Natural Science Basic Research Program of Shaanxi under Grant 2024JC-YBQN-0642.
The emergence of massive ultra-reliable and low latency communications (mURLLC) as a category of age/time/reliability-sensitive service over 6G wireless networks has received considerable research attention, which has...
关键词：statistical QoS provisioning mURLLC peak AoI satellite-terrestrial integrated networks QoS exponents hybrid automatic repeat request finite blocklength coding 
Origin of Traditional Chinese Medicine in Cuba in the 19th Century from Its Main Exponents and Some Notable Medical Descendants in the 20th Century被引量：1
《Chinese Medicine and Culture》2023年第4期367-376,共10页Lourdes Bárbara Alpizar Caballero Lourdes de la Caridad Borges Oquendo 
The Cuban people are made up of three major migratory currents, the Chinese are one of them. They brought their culture, the methods, and procedures of traditional Chinese medicine(TCM) in the 19th century. Few were a...
关键词：Chinese doctor Coolies Popular phrase IMMIGRANTS Professional behavior Human behavior History 
TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
《Acta Mathematica Scientia》2023年第5期2061-2074,共14页Khalid BOUABID Rachid ECHARGHAOUI Mohssine EL MANSOUR 
In this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents■whereΩis a smooth bounded domain in RN with ...
关键词：Laplacien critical Sobolev-Hardy exponent critical Sobolev exponent infinitely many solutions Pohozaev identity 
Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schr?dinger Equations with Unbounded Potential
《Chinese Annals of Mathematics,Series B》2023年第3期345-360,共16页Yanfang XUE Xiaojing ZHONG Chunlei TANG 
supported by the National Natural Science Foundation of China(Nos.11971393,11901499,11801465);Nanhu Scholar Program for Young Scholars of XYNU(No.201912)。
The authors study the existence of standing wave solutions for the quasilinear Schr?dinger equation with the critical exponent and singular coefficients.By applying the mountain pass theorem and the concentration comp...
关键词：Quasilinear Schrödinger equation Ground state Critical Hardy-Sobolev exponents Coercive 
Existence of solutions to a class of elliptic equations with nonstandard growth condition and zero order term
《Frontiers of Mathematics in China》2023年第1期43-50,共8页Zhongqing LI 
supported in part by the National Natural Science Foundation of China(Grant No.11901131);Youth science and technology talent growth project in Guizhou Province for ordinary institutions of higher learning(KY[2021]142).
The existence of bounded weak solutions,to a class of nonlinear elliptic equations with variable exponents,is investigated in this article.A uniform a priori L^(∞) estimate is obtained by the De Giorgi iterative tech...
关键词：Elliptic equations variable e exponents De Giorgi iteration Minty'strick 
An Improved Unique Fatigue Crack Growth Rate Curve Model and Determination of the Model Shape Exponents被引量：1
《Journal of Marine Science and Application》2022年第4期104-115,共12页Li Sun Yingcai Huang Xiaoping Huang 
It is essential to precisely predict the crack growth,especially the near-threshold regime crack growth under different stress ratios,for most engineering structures consume their fatigue lives in this regime under ra...
关键词：Near-threshold regime Crack growth rate Stress ratio Improved unique curve model Shape exponents 
Negligible Obstructions and Turán Exponents
《Annals of Applied Mathematics》2022年第3期356-384,共29页Tao Jiang Zilin Jiang Jie Ma 
supported in part by U.S.taxpayers through the National Science Foundation(NSF)grant DMS-1855542;by U.S.taxpayers through NSF grant DMS-1953946;supported in part by an AMS Simons Travel Grant;supported in part by the National Key R&D Program of China 2020YFA0713100;National Natural Science Foundation of China grants 11622110 and 12125106;Anhui Initiative in Quantum Information Technologies grant AHY150200。
We show that for every rational number r∈(1,2)of the form 2-a/b,where a,b∈N^(+)satisfy[b/a]^(3)≤a≤b/([b/a]+1)+1,there exists a graph Frsuch that the Turán number ex(n,F_(r))=Θ(n^(r)).Our result in particular gen...
关键词：Extremal graph theory turán exponents bipartite graphs 
Homotopy of gauge groups over non-simply connected five-dimensional manifolds
《Science China Mathematics》2021年第5期1061-1092,共32页Ruizhi Huang 
supported by Postdoctoral International Exchange Program for Incoming Postdoctoral Students under Chinese Postdoctoral Council and Chinese Postdoctoral Science Foundation, Chinese Postdoctoral Science Foundation (Grant No.2018M631605);National Natural Science Foundation of China (Grant No.11801544)。
Both the gauge groups and 5-manifolds are important in physics and mathematics. In this paper,we combine them to study the homotopy aspects of gauge groups over 5-manifolds. For principal bundles over non-simply conne...
关键词：gauge group 5-manifolds homotopy decompositions homotopy exponents homotopy groups rational homotopy theory Bott periodicity 
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