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The Moduli Space of Stable Coherent Sheaves via Non-archimedean Geometry

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Acta Mathematica Sinica,English Series 2022年第10期38卷 1722-1780页

作者： yun Feng jiang Department of Mathematics University of Kansas405 Snow Hall1460 Jayhawk BlvdLawrence USA

We provide a construction of the moduli space of stable coherent sheaves in the world of non-archimedean geometry,where we use the notion of Berkovich non-archimedean analytic *** motivation for our construction is Tony Yue Yu’s non-archimedean enumerative geometry in Gromov-Witten *** construction of the moduli space of stable sheaves using Berkovich analytic spaces will give rise to the non-archimedean version of Donaldson-Thomas *** this paper we give the moduli construction over a non-archimedean field *** use the machinery of formal schemes,that is,we define and construct the formal moduli stack of(semi)-stable coherent sheaves over a discrete valuation ring R,and taking generic fiber we get the non-archimedean analytic moduli space of semistable coherent sheaves over the fractional non-archimedean field *** generalize Joyce’s dcritical scheme structure in[37]or Kiem-Li’s virtual critical manifolds in[38]to the world of formal schemes,and Berkovich non-archimedean analytic *** an application,we provide a proof for the motivic localization formula for a d-critical non-archimedean K-analytic space using global motive of vanishing cycles and motivic integration on oriented formal d-critical *** generalizes Maulik’s motivic localization formula for the motivic Donaldson-Thomas invariants.

关键词： Non-archimedean Donaldson-Thomas theory Berkovich space analytic d-critical scheme motivic localization

Ground State Density Distribution of Bose-Fermi Mixture in a One-Dimensional Harmonic Trap

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Chinese Physics Letters 2011年第1期28卷 16-19页

作者： hao Ya- jiang Department of Physics University of Science and Technology Beijing Beijing 100083

By the density-functional calculation we investigate the ground-state properties of Bose-Fermi mixture confined in one-dimensional harmonic traps. The homogeneous mixture of bosons and polarized fermions with contact interaction can be exactly solved by the Bethe-ansatz method. After giving the exact formula of ground state en- ergy density, we employ the local-density approximation to determine the density distribution of each component. It is shown that with the increase in interaction, the total density distribution evolves to Fermi-like distribution and the system exhibits phase separation between finite. While in the infinite interaction limit both distributions and phase separation disappears. two components when the interaction is strong enough but bosons and fermions display the completely same Fermi-like

关键词： Quantum gases liquids and solids Mathematical physics Statistical physics and nonlinear systems

Role of the globus pallidus in motor and non-motor symptoms of Parkinson's disease

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Neural Regeneration Research 2025年第6期20卷 1628-1643页

作者： Yimiao jiang Zengxin Qi Huixian Zhu Kangli Shen Ruiqi Liu Chenxin Fang Weiwei Lou Yifan jiang Wangrui Yuan Xin Cao Liang Chen Qianxing Zhuang Department of Physiology School of MedicineNantong UniversityNantongJiangsu ProvinceChina Department of Neurosurgery Huashan HospitalShanghai Medical CollegeFudan UniversityShanghaiChina National Center for Neurological Disorders ShanghaiChina Shanghai Key Laboratory of Brain Function Restoration and Neural Regeneration ShanghaiChina State Key Laboratory of Medical Neurobiology and MOE Frontiers Center for Brain Science Institute of Brain ScienceFudan UniversityShanghaiChina

The globus pallidus plays a pivotal role in the basal ganglia circuit. Parkinson's disease is characterized by degeneration of dopamine-producing cells in the substantia nigra, which leads to dopamine deficiency in the brain that subsequently manifests as various motor and non-motor symptoms. This review aims to summarize the involvement of the globus pallidus in both motor and non-motor manifestations of Parkinson's disease. The firing activities of parvalbumin neurons in the medial globus pallidus, including both the firing rate and pattern, exhibit strong correlations with the bradykinesia and rigidity associated with Parkinson's disease. Increased beta oscillations, which are highly correlated with bradykinesia and rigidity, are regulated by the lateral globus pallidus. Furthermore,bradykinesia and rigidity are strongly linked to the loss of dopaminergic projections within the cortical-basal ganglia-thalamocortical loop. Resting tremors are attributed to the transmission of pathological signals from the basal ganglia through the motor cortex to the cerebellum-ventral intermediate nucleus circuit. The cortico–striato–pallidal loop is responsible for mediating pallidi-associated sleep disorders. Medication and deep brain stimulation are the primary therapeutic strategies addressing the globus pallidus in Parkinson's disease. Medication is the primary treatment for motor symptoms in the early stages of Parkinson's disease, while deep brain stimulation has been clinically proven to be effective in alleviating symptoms in patients with advanced Parkinson's disease,particularly for the movement disorders caused by levodopa. Deep brain stimulation targeting the globus pallidus internus can improve motor function in patients with tremordominant and non-tremor-dominant Parkinson's disease, while deep brain stimulation targeting the globus pallidus externus can alter the temporal pattern of neural activity throughout the basal ganglia–thalamus network. Therefore, the comp

关键词： anxiety basal ganglia bradykinesia deep brain stimulation depression globus pallidus externus globus pallidus internus lateral globus pallidus medial globus pallidus neural circuit Parkinson's disease

A newly unraveled 13.6-year oscillation from GPS displacements and its potential implications for the dynamic reference frame

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Science China Earth Sciences 2024年第10期67卷 3204-3212页

作者： hao DING Weiping jiang School of Geodesy and Geomatics Hubei Luojia LaboratoryWuhan UniversityWuhan 430079China GNSS Research Center Wuhan UniversityWuhan 430079China

Numerous practical geodetic and geophysical applications necessitate precise measurements of GNSS displacements at the millimeter or sub-millimeter level. To attain such precision, it is imperative to identify and analyze the unidentified decadal signals inherent in the GPS displacements. In this research, we employ the optimal sequence estimation method to effectively detect an about 13.6-year oscillational signal with an excited amplitude of 3.6±1.2 mm in the U-components of the GPS displacements. It is noteworthy that this signal demonstrates a consistent spatial pattern characterized by the spherical harmonic Y_(2,-2). We conduct a comparative analysis with the 13.6-year oscillation observed in length-of-day variations(and geomagnetic records), finding that they are in reverse phase. After eliminating the Earth's external excitation sources through the utilization of two distinct in-situ hydrological records, we suggest that the 13.6-year GPS signal may come from the internal motions within the Earth. However, the specific excitation source and the detailed physical mechanism remain uncertain. Additionally, we develop a mathematical displacement model to explain the 13.6-year signal. Our findings indicate that this signal can result in displacements of up to 1.37 mm and velocity effects of 0.63 mm/yr(for U-component) at maximum. These results underscore the necessity of incorporating this 13.6-year signal into the construction and maintenance of a dynamic reference frame at the millimeter level.

关键词： GPS displacements Decadal changes 13.6-year oscillation Displacement model Dynamic reference frame

Digital and analog hybrid control in adaptive interference cancellation system

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The Journal of China Universities of Posts and Telecommunications 2010年第6期17卷 1-10页

作者： jiang yun-hao Zhao Zhi-hua TANG Jian LI Wen-lu XIAO Huan College of Electrical and Electronic Engineering Huazhong Utliversity of Science and Technology Wuhan 430074 China National Key Laboratory for Vessel Integrated Power System Technology Naval University of Engineering Wuhan 430033 China

The digital proportion control is introduced to improve the performance of the analog adaptive interference cancellation system （ICS）. For the high frequency parts of the signals after multiplier are not required,the sampling frequency need not satisfy the sampling theorem for high frequency. Because the sampling,calculation and output expend time in digital control,the ideal condition,delay condition and delay-wait condition are taken into account. Through analyzing the system model with three conditions,we gain the stable conditions of the system,the optimization step factors that can make the system converge fastest and the formulas of the interference cancellation ratios （ICRs）. One step convergence can be accomplished under ideal condition,whereas the system can not converge in one step under delay condition and delay-wait condition. The calculation results show the convergence speed of delay-wait condition is slower than that of delay condition. The ICR is improved with the increase of the step factor which is in stable bound,but the convergence speed is decreased if the step factor exceeds the optimization step factor. In order to avoid that confine,the method of amending the steady state weight to improve the ICR is proposed. The analyses are in agreement with the computer simulations.

关键词： digital and analog hybrid control adaptive interference cancellation weight ICR convergence speed

Effect of Surface Mechanical Attrition Treatment on Corrosion Behavior of 316 Stainless Steel

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Journal of Iron and Steel Research International 2009年第2期16卷 68-72页

作者： hao yun-wei DENG Bo ZHONG Cheng jiang Yi-ming LI Jin Department of Materials Science Fudan University Shanghai 200433 China

The nanocrystalline microstructure of the surface of 316 stainless steel （316SS） induced by surface mechanical attrition treatment （SMAT） was determined by X-ray diffraction （XRD） and scanning electron microscopy （SEM）. The technique of hydrogen embrittlement was first used to obtain the information of the brittleness cleavage plane. The effects of SMAT and the following annealing process on the corrosion behavior of 316SS were investiga- ted by potentiodynamic polarization curves and potentiostatic critical pitting temperature measurements. The results demonstrated that the nanoerystalline layer with an average grain size of 19 nm was produced. However, there were lots of cracks on the surface, which led to the degradation in the corrosion resistance of 316SS after SMAT. Never- theless, after annealing treatment, the corrosion resistance of the nanocrystalline surface had been improved greatly. The higher the annealing temperature, the better was the corrosion resistance.

关键词： surface mechanical attrition treatment nanocrystalline corrosion heat treatment

Motivic Milnor Fibre of Cyclic L∞-algebras

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Acta Mathematica Sinica,English Series 2017年第7期33卷 933-950页

作者： yun Feng jiang Department of Mathematics University of Kansas405 Snow Hall 1460 Jayhawk BlvdLawrence KS 66045USA

Abstract We define the motivic Milnor fiber of cyclic L∞-algebras of dimension three using the method of Denef and Loeser of motivic integration. It is proved by Nicaise and Sebag that the topo- logical Euler characteristic of the motivic Milnor fiber is equal to the Euler characteristic of the étale cohomology of the analytic Milnor fiber. We prove that the value of Behrend function on the germ moduli space determined by a cyclic L∞-algebra L is equal to the Euler characteristic of the analytic Milnor fiber. Thus we prove that the Behrend function depends only on the formal neighborhood of the moduli space.

关键词： L∞-algebra motivic Milnor fiber analytic Milnor fiber Donaldson Thomas invariants,the Behrend function

Nanofiltration Membranes via Layer-by-layer Assembly and Cross-linking of Polyethyleneimine/Sodium Lignosulfonate for Heavy Metal Removal

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Chinese Journal of Polymer Science 2020年第9期38卷 965-972,I0006页

作者： Meng-yun Xie jiang Wang Qing-yun Wu Faculty of Materials Science and Chemical Engineering Ningbo UniversityNingbo 315211China School of Chemical Engineering and Technology Sun Yat-sen UniversityZhuhai 519082China

Layer-by-layer(LbL)assembly technology is a facile method for constructing thin film composite ***,a novel nanofiltration(NF)membrane was prepared by LbL assembly of polyethyleneimine(PEI)and sodium lignosulfonate(LS)followed by *** surface composition,morphology,and property of PEI/LS bilayer were detailedly investigated by FTIR/ATR,XPS,SEM,AFM,and water contact angle *** PEI/LS bilayer full of amino and hydroxyl groups presents increased roughness and improved ***,the NF performance of PEI/LS LbL assembly membranes can be modulated by bilayer number,polyelectrolyte concentration,and salt *** water flux reduced while the salt rejection greatly improved as increasing the bilayer numbers,PEI concentration,or NaCl *** than 95%MgSO4 and MgCl2,as well as 80%NaCl can be rejected by a NF membrane prepared by 6 PEI/LS bilayers,1 wt%PEI,0.5 wt%LS,and 1 mol/L ***,this NF membrane can be used to remove more than 95%heavy metal ions(Cd2+,Zn2+,Mn2+,Cr2+,Cu2+,and Ni2+).This work proposed a promising NF membrane by using PEI/LS as low cost polyelectrolytes and facile LbL assembly method,which should receive much attention in water purification.

关键词： Desalination Nanofiltration Sodium lignosulfonate Layer-by-layer Heavy metal

Bio-Derived Hierarchical Multicore–Shell Fe2N-Nanoparticle-Impregnated N-Doped Carbon Nanofiber Bundles:A Host Material for Lithium-/Potassium-Ion Storage

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Nano-Micro Letters 2019年第4期11卷 18-34页

作者： Hongjun jiang Ling Huang yunhong Wei Boya Wang hao Wu yun Zhang Huakun Liu Shixue Dou Department of Advanced Energy Materials College of Materials Science and EngineeringSichuan UniversityChengdu 610064People’s Republic of China Institute for Superconducting and Electronic Materials Australian Institute of Innovative MaterialsUniversity of WollongongWollongongNSW 2500Australia

Despite the significant progress in the fabrication of advanced electrode materials,complex control strategies and tedious processing are often involved for most targeted materials to tailor their compositions,morphologies,and *** by the unique geometric structures of natural biomacromolecules together with their high affinities for metal species,we propose the use of skin collagen fibers for the template crafting of a novel multicore-shell Fe2N-carbon framework anode configuration,composed of hierarchical N-doped carbon nanofiber bundles firmly embedded with Fe2N nanoparticles(Fe2N@N-CFBs).In the resultant heterostructure,the Fe2N nanoparticles firmly confined inside the carbon shells are spatially isolated but electronically well connected by the long-range carbon nanofiber *** not only provides direct and continuous conductive pathways to facilitate electron/ion transport,but also helps cushion the volume expansion of the encapsulated Fe2N to preserve the electrode *** its unique structural characteristics,Fe2N@N-CFBs as an advanced anode material exhibits remarkable electrochemical performances for lithium-and potassium-ion ***,this bio-derived structural strategy can pave the way for novel low-cost and high-efficiency syntheses of metal-nitride/carbon nanofiber heterostructures for potential applications in energy-related fields and beyond.

关键词： Anode material Iron nitride Lithium-ion battery Potassium-ion battery Multicore-shell structure