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Topological Stability and Pseudo-orbit Tracing Property for Homeomorphisms on Uniform Spaces

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Acta Mathematica Sinica,English Series 2022年第2期38卷 431-442页

作者： Ke Song YAN fan ping ZENG School of Information and Statistics Guangxi University of Finance and EconomicsNanning 530003P.R.China

In this paper,we investigate the topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces.We introduce the concept of topological stability for homeomorphisms on compact uniform spaces and prove that if a homeomorphism on a compact uniform space is expansive and has pseudo-orbit tracing property,then it is topologically stable.Moreover,we discuss the topological stability for homeomorphisms on uniform spaces from the view of localization.We introduce definitions of topologically stable point and shadowable point for homeomorphisms on uniform spaces and show that every shadowable point of an expansive homeomorphism on a compact uniform space is topologically stable.

关键词： Topological stability pseudo-orbit tracing property expansiveness uniform space

Theory of Critical Phenomena with Memory

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Chinese Physics Letters 2022年第12期39卷 1-7页

作者： Shaolong Zeng Sue ping Szeto fan Zhong State Key Laboratory of Optoelectronic Materials and Technologies School of PhysicsSun Yat-Sen UniversityGuangzhou 510275China

Memory is a ubiquitous characteristic of complex systems,and critical phenomena are one of the most intriguing phenomena in nature.Here,we propose an Ising model with memory,develop a corresponding theory of critical phenomena with memory for complex systems,and discover a series of surprising novel results.We show that a naive theory of a usual Hamiltonian with a direct inclusion of a power-law decaying long-range temporal interaction violates radically a hyperscaling law for all spatial dimensions even at and below the upper critical dimension.This entails both indispensable consideration of the Hamiltonian for dynamics,rather than the usual practice of just focusing on the corresponding dynamic Lagrangian alone,and transformations that result in a correct theory in which space and time are inextricably interwoven,leading to an effective spatial dimension that repairs the hyperscaling law.The theory gives rise to a set of novel mean-field critical exponents,which are different from the usual Landau ones,as well as new universality classes.These exponents are verified by numerical simulations of the Ising model with memory in two and three spatial dimensions.

关键词： critical Hamiltonian scaling

Analysis on Precipitation Efficiency of the “21.7” Henan Extremely Heavy Rainfall Event

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Advances in Atmospheric Sciences 2023年第3期40卷 374-392页

作者： Lei YIN fan ping Jiahua MAO Shuanggen JIN Institute of Atmospheric Physics Chinese Academy of SciencesBeijing 100029China School of Geomatics and Municipal Engineering Zhejiang University of Water Resources and Electric PowerHangzhou 310018China Nanjing University of Information Science and Technology Nanjing 210000China

A record-breaking heavy rainfall event that occurred in Zhengzhou,Henan province during 19–21 July 2021 is simulated using the Weather Research and Forecasting Model,and the large-scale precipitation efficiency(LSPE)and cloud-microphysical precipitation efficiency(CMPE)of the rainfall are analyzed based on the model results.Then,the key physical factors that influenced LSPE and CMPE,and the possible mechanisms for the extreme rainfall over Zhengzhou are explored.Results show that water vapor flux convergence was the key factor that influenced LSPE.Water vapor was transported by the southeasterly winds between Typhoon In-Fa(2021)and the subtropical high,and the southerly flow of Typhoon Cempaka(2021),and converged in Zhengzhou due to the blocking by the Taihang and Funiu Mountains in western Henan province.Strong moisture convergence centers were formed on the windward slope of the mountains,which led to high LSPE in Zhengzhou.From the perspective of CMPE,the net consumption of water vapor by microphysical processes was the key factor that influenced CMPE.Quantitative budget analysis suggests that water vapor was mainly converted to cloud water and ice-phase particles and then transformed to raindrops through melting of graupel and accretion of cloud water by rainwater during the heavy precipitation stage.The dry intrusion in the middle and upper levels over Zhengzhou made the high potential vorticity descend from the upper troposphere and enhanced the convective instability.Moreover,the intrusion of cold and dry air resulted in the supersaturation and condensation of water vapor,which contributed to the heavy rainfall in Zhengzhou.

关键词： extremely heavy rainfall Zhengzhou large-scale precipitation efficiency cloud-microphysical precipitation efficiency

GPS tracking data reveal the annual spatiotemporal movement patterns of Bridled Terns

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Avian Research 2022年第4期13卷 424-428页

作者： Xin Yu Ping Fan Yun Wu Yongbin Chang Chenxi Jia Fumin Lei Key Laboratory of Zoological Systematics and Evolution Institute of ZoologyChinese Academy of SciencesBeijing100101China College of Life Sciences University of Chinese Academy of SciencesBeijing100049China Center for Excellence in Animal Evolution and Genetics Chinese Academy of SciencesKunming650201China

Understanding the spatiotemporal patterns of animal movement is a central theme in the growing field of movement ecology.The Bridled Tern(Onychoprion anaethetus)is widely distributed across tropical and subtropical latitudes;however,knowledge of its annual movement is based only on relatively scarce recoveries of ringed birds.Studying the annual movement of pelagic seabirds is important to identify the impact of changes of marine habitats on them.We examined fine-scaled movement patterns of the species from two colonies in southern China by using GPS-GSM transmitters in 2018–2022.Twenty-three terns bred in Xichiyu Islet and Qilianyu Islet while wintered in four different sites:Gulf of Thailand,Natuna Islands,The Sulu Sea,and Makassar Strait.Bridled Terns made small detours and employed a fly-and-forage strategy with frequent stopovers to forage during autumn migration,but took more direct routes and reduced the need for stopovers during spring migration.Distance of migration between breeding and winter sites was significantly longer in autumn(average 3635 km)when compared with spring(2777 km).Ten birds with whole-year tracking data used the same breeding sites both years and four birds with tracking data of two consecutive years returned to the same wintering area,indicating that Bridled Terns are highly faithful to their breeding and wintering grounds.

关键词： GPS-GSM Transmitters Bridled tern Fidelity Migration

台风‘彩虹’(2015)快速加强前的高层位涡异常及其对海温降低的响应

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Atmospheric and Oceanic Science Letters 2020年第5期13卷 390-399页

作者： TANG Xiba YANG Shuai Ping Fan PENG Jing Laboratory of Cloud-Precipitation Physics and Severe Storms Institute of Atmospheric PhysicsChinese Academy of SciencesBeijingChina Key Laboratory of Regional Climate-Environment for Temperate East Asia Institute of Atmospheric PhysicsChinese Academy of SciencesBeijingChina

利用数值模拟,研究了台风‘彩虹’快速增强(RI)前的高层位涡异常及其对海温改变的响应。发现RI前6小时高对流层位涡异常显著,伴随深对流的发展,对RI有一定预示作用。位涡收支分析表明,与深对流相关的非绝热加热项和垂直输送项是高层位... 详细信息

利用数值模拟,研究了台风‘彩虹’快速增强(RI)前的高层位涡异常及其对海温改变的响应。发现RI前6小时高对流层位涡异常显著,伴随深对流的发展,对RI有一定预示作用。位涡收支分析表明,与深对流相关的非绝热加热项和垂直输送项是高层位涡异常的主要原因;降低海温的数值模拟进一步验证了深对流对高层位涡异常的关键作用。本文从高低层相互作用的视角,阐明除了海温,高层位涡异常也成为区分RI与非RI热带气旋的重要因素之一。

关键词：高层位涡台风快速增强

Unifying logic rules and machine learning for entity enhancing

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Science China(Information Sciences) 2020年第7期63卷 142-160页

作者： Wenfei fan ping LU Chao TIAN School of Informatics University of Edinburgh Shenzhen Institute of Computing Sciences Shenzhen University Beijing Advanced Innovation Center for Big Data and Brain Computing Beihang University Alibaba Group

This paper proposes a notion of entity enhancing, which unifies entity resolution and conflict resolution, to identify tuples that refer to the same real-world entity and at the same time, correct semantic inconsistencies. We propose to unify rule-based and machine learning(ML) methods for entity enhancing, by embedding ML classifiers as predicates in logic rules. We model entity enhancing by extending the chase. We show that the chase warrants correctness justification and the Church-Rosser property. Moreover, we settle fundamental problems associated with entity enhancing, including the enhancing, consistency, satisfiability,and implication problems, ranging from NP-complete and coNP-complete to Π~p-complete. Taken together,these provide a new theoretical framework for unifying entity resolution and conflict resolution.

关键词： logic rules machine learning entity enhancing entity resolution conflict resolution

Recent Advances in Organic Electrochemical C-H Functionalization

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Chinese Journal of Chemistry 2018年第4期36卷 338-352页

作者： qi-Liang Yang Ping Fan Tian-Sheng Mei State Key Laboratory of Organometallic Chemistry Center for Excellence in Molecular Synthesis Shanghai Institute of Organic Chemistry Chinese Academy of Sciences 345 Lingling Lu Shanghai 200032 China Key Laboratory for Advanced Materials and Institute of Fine Chemicals School of Chemistry & Molecular Engineering East China University of Science and Technology 130 Meilong Road Shanghai 200237 China

Organic electrochemistry has a rich history in organic synthesis and has been considered as a promising alternative to traditional chemical oxidants and reductants because it obviates the use of stoichiometric amount of dangerous and toxic reagents. In particular, the electrochemical C-H bonds functionalization is one of the most desirable approaches for the construction of carbon-carbon （C-C） and carbon-heteroatom （C-X） bonds. This review summarizes the substantial progress made in the last few years in C-H functionalization via organic electrochemistry. It is divided into sections on C-C, C-N, C-O, C-S, C-Halogen and C-P bond formation.

关键词： organic electrochemistry C-H functionalization carbon-carbon bond formation carbon-heteroatom bond formation

Osteoimmunology research in rheumatoid arthritis:From single-cell omics approach

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Chinese Medical Journal 2023年第14期136卷 1642-1652页

作者： Nan Hu Jing Wang Bomiao Ju Yuanyuan Li Ping Fan Xinxin Jin Xiaomin Kang Shufang Wu Department of Rheumatology The First Affiliated Hospital of Xi’an Jiaotong UniversityXi’anShaanxi 710061China Department of Physiology and Pathophysiology School of Basic Medical SciencesXi’an Jiaotong University Health Science CenterXi’anShaanxi 710061China Center for Translational Medicine The First Affiliated Hospital of Xi’an Jiaotong UniversityXi’anShaanxi 710061China

Cellular immune responses as well as generalized and periarticular bone loss are the key pathogenic features of rheumatoid arthritis(RA).Under the pathological conditions of RA,dysregulated inflammation and immune processes tightly interact with skeletal system,resulting in pathological bone damage via inhibition of bone formation or induction of bone resorption.Singlecell omics technologies are revolutionary tools in the field of modern biological research.They enable the display of the state and function of cells in various environments from a single-cell resolution,thus making it conducive to identify the dysregulated molecular mechanisms of bone destruction in RA as well as the discovery of potential therapeutic targets and biomarkers.Here,we summarize the latest findings of single-cell omics technologies in osteoimmunology research in RA.These results suggest that single-cell omics have made significant contributions to transcriptomics and dynamics of specific cells involved in bone remodeling,providing a new direction for our understanding of cellular heterogeneity in the study of osteoimmunology in RA.

关键词： Rheumatoid arthritis Osteoimmunology Single-cell omics Single-cell RNA sequencing scATAC-seq

On Mutually Orthogonal Extraordinary Supersquares

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Acta Mathematicae Applicatae Sinica 2021年第4期37卷 697-705页

作者： Jin-Ping Fan Hai-tao CAO Department of Mathematics Shanghai Normal UniversityShanghai200234China Institute of Mathematics Nanjing Normal UniversityNanjing210023China

Let Fd be the finite field with d elements.Extraordinary subgroups in Fd×Fd play an important role in the field of quantum information theory,especially for the study of mutually unbiased bases.Recently,Ghiu et al.introduced the concept of supersquare of order d which is related to extraordinary subgroups.They have given a method of construction of the mutually orthogonal supersquares,and determined all the complete sets of mutually orthogonal extraordinary supersquares of order 4.In this article,we present the construction of a complete set of mutually orthogonal extraordinary supersquares of order pn where p is a prime.We also determine all the complete sets of mutually orthogonal extraordinary supersquares of order 9.

关键词： extraordinary subgroup supersquare mutually orthogonal extraordinary supersquare finite field