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Limit Theorems for Critical Galton-Watson Processes with Immigration Stopped at Zero

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Acta Mathematica Sinica,English Series 2024年第2期40卷 435-450页

作者： dou dou LI mei ZHANG Xian Yu ZHANG College of Statistics and Data Science Faculty of ScienceBeijing University of TechnologyBeijing 100124P.R.China Laboratory of Mathematics and Complex Systems(Ministry of Education) School of Mathematical SciencesBeijing Normal UniversityBeijing 100875P.R.China

In this paper,we consider a critical Galton-Watson branching process with immigration stopped at zero W.Some precise estimation on the probability generating function of the n-th population are obtained,and the tail probability of the life period of W is studied.Based on above results,two conditional limit theorems for W are established.

关键词： Branching immigration critical life period limit theorems

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Large Deviations for a Critical Galton-Watson Branching Process

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Acta Mathematicae Applicatae Sinica 2024年

作者： dou-dou LI Wan-lin SHI mei ZHANG College of Statistics and Data Science Faculty of Science Beijing University of Technology Laboratory of Mathematics and Complex Systems (Ministry of Education) School of Mathematical SciencesBeijing Normal University Department of Mathematics and Physics North China Electric Power University

In this paper, a critical Galton-Watson branching process{Zn}is considered. Large deviation rates of SZn:=∑i=1ZnXiare obtained, where{Xi, i≥1}is a sequence of independent and identically distributed random variables and X1is in the domain of attraction of an α-stable law with α∈(0, 2). One shall see that the convergence rate is determined by the tail index of X1and the variance of Z1. Our results can be compared with those ones of the supercritical case.

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Progress in neurorehabilitation research and the support by the National Natural Science Foundation of China from 2010 to 2022

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Neural Regeneration Research 2024年第1期19卷 226-232页

作者： Qian Tao Honglu Chao Dong Fang dou dou School of Medicine Jinan UniversityGuangzhouGuangdong ProvinceChina School of Health and Life Science University of Health and Rehabilitation SciencesQingdaoShandong ProvinceChina Department of Health Sciences National Natural Science Foundation of ChinaBeijingChina Department of Neurosurgery The First Affiliated Hospital of Nanjing Medical UniversityNanjingJiangsu ProvinceChina

The National Natural Science Foundation of China is one of the major funding agencies for neuro rehabilitation research in China.This study reviews the frontier directions and achievements in the field of neurorehabilitation in China and wo rldwide.We used data from the Web of Science Core Collection(WoSCC) database to analyze the publications and data provided by the National Natural Science Foundation of China to analyze funding information.In addition,the prospects for neurorehabilitation research in China are discussed.From 2010 to 2022,a total of 74,220 publications in neurorehabilitation were identified,with there being an overall upward tendency.During this period,the National Natural Science Foundation of China has funded 476 research projects with a total funding of 192.38 million RMB to support neuro rehabilitation research in China.With the support of the National Natural Science Foundation of China,China has made some achievements in neurorehabilitation research.Research related to neurorehabilitation is believed to be making steady and significant progress in China.

关键词： brain computer interface invasive neuromodulation National Natural Science Foundation of China(NSFC) neuroreha bilitation non-invasive brain stimulation publication rehabilitation robotics virtual reality

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Basilic vein variation encountered during surgery for arm vein port:A case report

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World Journal of Clinical Cases 2024年第12期12卷 2086-2091页

作者： Cheng-Da Hu Rui Lv ya-Xin Zhao Ming-Hao Zhang Hong-dou Zeng Yi-Wen Mao Department of Breast Surgery The Second Affiliated Hospital and Yuying Children’s Hospital of Wenzhou Medical UniversityWenzhou 325000Zhejiang ProvinceChina

BACKGROUND Venous variations are uncommon and usually hard to identify,and basilic vein variation is particularly rare.Basilic vein variation usually presents without any clinical symptoms and is often regarded as a benign alteration.This case was a patient with congenital basilic vein variation encountered during surgery for an infusion port.CASE SUMMARY We documented and analyzed an uncommon anatomical variation in the basilic vein encountered during arm port insertion.This peculiarity has hitherto remained undescribed in the literature.We offer remedial strategies for addressing this anomaly in the future and precautionary measures to circumvent its occurrence.We conducted a comprehensive review of analogous cases in the literature,offering pertinent therapeutic recommendations and solutions,with the aim of enhancing the efficacy and safety of future arm port implantations.CONCLUSION Venous variation is rare and requires detailed intraoperative and postoperative examination to ensure accuracy,so as not to affect subsequent treatment.

关键词： Totally implantable venous access ports Arm ports Venous variation Postoperative breast cancer Systematic review Case report

Solvation Engineering via Fluorosurfactant Additive Toward Boosted Lithium-Ion Thermoelectrochemical Cells

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Nano-Micro Letters 2024年第4期16卷 253-268页

作者： Yinghong Xu Zhiwei Li Langyuan Wu Hui dou Xiaogang Zhang Jiangsu Key Laboratory of Electrochemical Energy Storage Technologies College of Material Science and TechnologyNanjing University of Aeronautics and AstronauticsNanjing 211106People’s Republic of China

Lithium-ion thermoelectrochemical cell(LTEC), featuring simultaneous energy conversion and storage, has emerged as promising candidate for low-grade heat harvesting. However, relatively poor thermosensitivity and heat-to-current behavior limit the application of LTECs using LiPF_6 electrolyte. Introducing additives into bulk electrolyte is a reasonable strategy to solve such problem by modifying the solvation structure of electrolyte ions. In this work, we develop a dual-salt electrolyte with fluorosurfactant(FS) additive to achieve high thermopower and durability of LTECs during the conversion of low-grade heat into electricity. The addition of FS induces a unique Li~+ solvation with the aggregated double anions through a crowded electrolyte environment,resulting in an enhanced mobility kinetics of Li~+ as well as boosted thermoelectrochemical performances. By coupling optimized electrolyte with graphite electrode, a high thermopower of 13.8 mV K^(-1) and a normalized output power density of 3.99 mW m^(–2) K^(–2) as well as an outstanding output energy density of 607.96 J m^(-2) can be obtained.These results demonstrate that the optimization of electrolyte by regulating solvation structure will inject new vitality into the construction of thermoelectrochemical devices with attractive properties.

关键词： Solvation engineering Fluorosurfactant Ionic thermoelectric Lithium-ion thermoelectrochemical cell Low-grade heat

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RLKdb:A comprehensively curated database of plant receptor-like kinase

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Molecular Plant 2024年第4期17卷 513-515页

作者： Zhiyuan Yin Jinding Liu Daolong dou Department of Plant Pathology Nanjing Agricultural UniversityNanjing 210095China Academy for Advanced Interdisciplinary Studies Nanjing Agricultural UniversityNanjing 210095China

Dear Editor,Since the first plant receptor-like kinase(RLK)gene ZmPK1 was cloned from Zea mays in 1990(Walker and Zhang,1990),this large gene family has been extensively studied and shown to play crucial roles in growth,development,and immunity(Tang et al.,2017).RLKs are widespread in the plant kingdom.However,biological functions of most RLKs remain largely elusive(Dievart et al.,2020).Given RLKs share a conserved monophyletic RLK/Pelle kinase domain,RLKs in several model plants are classified into distinct families by extracellular domains(Shiu and Bleecker,2001).However,independent domain shuffling in specific lineages drives the origin of novel families,which raises a question what is the landscape of RLKs across the entire plant kingdom?Previously,sequence-homology-based methods have been widely used for RLK identification and classification,which might miss distantly related proteins with similar structures and potential novel families not mentioned in the literature.The academic community urgently requires a dedicated database for a systematic overview of the RLK gene family,providing data support for in-depth research on RLK genes.Here,we used a topology-based method to accurately isolate the RLKomes from proteomes.The obtained RLKomes were further classified into(sub)families based on extracellular domains.We con-structed a comprehensively curated plant RLK database(https://***/rlkdb),which contains valuable re-sources for investigating the origin and evolution of the RLK fam-ily and multiple online tools for personalized analysis.

关键词： database comprehensive origin

Optimization-based mode selection scheme for OAM millimeter wave system in the off-axis misalignment case

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Digital Communications and Networks 2024年第1期10卷 101-108页

作者： Haie dou Lei Wang Bin Kang Baoyu Zheng Key Lab of Broadband Wireless Communication and Sensor Network Technology(Nanjing University of Posts and Telecommunications) Ministry of EducationNanjing210003China School of Internet of Things Nanjing University of Posts and TelecommunicationsNanjing210003China

Millimeter-wave transmission combined with Orbital Angular Momentum(OAM)has the advantage of reducing the loss of beam power and increasing the system capacity.However,to fulfill this advantage,the antennas at the transmitter and receiver must be parallel and coaxial;otherwise,the accuracy of mode detection at the receiver can be seriously influenced.In this paper,we design an OAM millimeter-wave communication system for overcoming the above limitation.Specifically,the first contribution is that the power distribution between different OAM modes and the capacity of the system with different mode sets are analytically derived for performance analysis.The second contribution lies in that a novel mode selection scheme is proposed to reduce the total interference between different modes.Numerical results show that system performance is less affected by the offset when the mode set with smaller modes or larger intervals is selected.

关键词： Orbital angular momentum Millimeter wave Off-axis misalignment Mode selection Capacity

Modeling Long- and Short-Term Service Recommendations with a Deep Multi-Interest Network for Edge Computing

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Tsinghua Science and Technology 2024年第1期29卷 86-98页

作者： Rui Yuan Shunmei Meng Ruihan dou Xinna Wang Department of Computer Science and Engineering Nanjing University of Science and TechnologyNanjing 210056China Faculty of Mathematics University of WaterlooWaterloo N2L 3G1Canada

Edge computing platforms enable application developers and content providers to provide context-aware services(such as service recommendations)using real-time wireless access network information.How to recommend the most suitable candidate from these numerous available services is an urgent task.Click-through rate(CTR)prediction is a core task of traditional service recommendation.However,many existing service recommender systems do not exploit user mobility for prediction,particularly in an edge computing environment.In this paper,we propose a model named long and short-term user preferences modeling with a multi-interest network based on user behavior.It uses a logarithmic network to capture multiple interests in different fields,enriching the representations of user short-term preferences.In terms of long-term preferences,users'comprehensive preferences are extracted in different periods and are fused using a nonlocal network.Extensive experiments on three datasets demonstrate that our model relying on user mobility can substantially improve the accuracy of service recommendation in edge computing compared with the state-of-the-art models.

关键词： recommender system logarithmic network nonlocal network

Spatiotemporal Prediction of Urban Traffics Based on Deep GNN

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Computers, Materials & Continua 2024年第1期78卷 265-282页

作者： Ming Luo Huili dou Ning Zheng School of Computer Science Hangzhou Dianzi UniversityHangzhou310018China Zhejiang Institute of Communications Hangzhou310012China School of Cyberspace Security Hangzhou Dianzi UniversityHangzhou310018China

Traffic prediction already plays a significant role in applications like traffic planning and urban management,but it is still difficult to capture the highly non-linear and complicated spatiotemporal correlations of traffic data.As well as to fulfil both long-termand short-termprediction objectives,a better representation of the temporal dependency and global spatial correlation of traffic data is needed.In order to do this,the Spatiotemporal Graph Neural Network(S-GNN)is proposed in this research as amethod for traffic prediction.The S-GNN simultaneously accepts various traffic data as inputs and investigates the non-linear correlations between the variables.In terms of modelling,the road network is initially represented as a spatiotemporal directed graph,with the features of the samples at the time step being captured by a convolution module.In order to assign varying attention weights to various adjacent area nodes of the target node,the adjacent areas information of nodes in the road network is then aggregated using a graph network.The data is output using a fully connected layer at the end.The findings show that S-GNN can improve short-and long-term traffic prediction accuracy to a greater extent;in comparison to the control model,the RMSE of S-GNN is reduced by about 0.571 to 9.288 and the MAE(Mean Absolute Error)by about 0.314 to 7.678.The experimental results on two real datasets,Pe MSD7(M)and PEMS-BAY,also support this claim.

关键词： Urban traffic traffic temporal correlation GNN prediction