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Maximal von Neumann subalgebras arising from maximal subgroups

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Science China Mathematics 2021年第10期64卷 2295-2312页

作者： Yongle jiang School of Mathematical Sciences Dalian University of TechnologyDalian 116024China

Ge(2003)asked the question whether LF∞can be embedded into LF2 as a maximal *** answer it affirmatively with three different approaches,all containing the same key ingredient:the existence of maximal subgroups with infinite *** also show that point stabilizer subgroups for every faithful,4-transitive action on an infinite set give rise to maximal von Neumann *** combining this with the known results on constructing faithful,highly transitive actions,we get many maximal von Neumann subalgebras arising from maximal subgroups with infinite index.

关键词： maximal von Neumann subalgebra maximal subfactor maximal subgroup highly transitive action rigid subalgebra

Effective Energy Density of Glass Rejuvenation

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Acta Mechanica Solida Sinica 2022年第5期35卷 746-754页

作者： Gan Ding Feng jiang Lanhong Dai Minqiang jiang State Key Laboratory for Mechanical Behavior of Materials Xi’an Jiaotong UniversityXi’an710049China State Key Laboratory of Nonlinear Mechanics Institute of MechanicsChinese Academy of SciencesBeijing100190China School of Engineering Science University of Chinese Academy of SciencesBeijing100049China

Glasses with rejuvenated structures usually exhibit improved room-temperature plasticity,which facilitates their ***,glass rejuvenation requires external energy injection to“shake up”the frozen-in disordered *** this work,we give the answer to how much the required energy *** to the constitutive model of amorphous plasticity,we find that the applied stress higher than the steady-state flow value can effectively induce the structural disordering in terms of the generation of free ***,the effective energy density(EED)of structural rejuvenation is defined as the integral of this effective stress on the corresponding *** tailoring the applied strain,strain rate,temperature and initial free volume,different degrees of structural rejuvenation are achieved,which show a generally linear correlation with the defined *** work deepens the understanding of glass rejuvenation from an energy perspective.

关键词： Glass Structural rejuvenation Effective energy density Shear transformations Free volume

MOTIVIC VIRTUAL SIGNED EULER CHARACTERISTICS AND THEIR APPLICATIONS TO VAFA-WITTEN INVARIANTS

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Acta Mathematica Scientia 2022年第6期42卷 2279-2300页

作者： Yunfeng jiang College of Mathematics and Statistics Shenzhen UniversityShenzhen 518060China Department of MathematicsUniversity of KansasKS 66045USA

For any scheme M with a perfect obstruction theory,jiang and Thomas associated a scheme N with a symmetric perfect obstruction *** scheme N is a cone over M given by the dual of the obstruction sheaf of M,and contains M as its zero ***,N is the critical locus of a regular *** this note we prove that N is a d-critical scheme in the sense of *** exists a global motive for N locally given by the motive of the vanishing cycle of the local regular *** prove a motivic localization formula under the good and circle compact C*-action for *** taking the Euler characteristic,the weighted Euler characteristic of N weighted by the Behrend function is the signed Euler characteristic of M by motivic *** applications,using the main theorem we study the motivic generating series of the motivic Vafa-Witten invariants for K3 surfaces.

关键词： motivic Euler characteristics dual obstruction cone motivic Vafa-Witten invariants K3 surfaces

Geometric Gibbs theory

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Science China Mathematics 2020年第9期63卷 1777-1824页

作者： Yunping jiang Department of Mathematics Queens College of the City University of New YorkNew YorkNY 11367-1597USA Department of Mathematics The CUNY Graduate CenterNew YorkNY 10016USA

We extend the classical Gibbs theory for smooth potentials to the geometric Gibbs theory for certain continuous *** study the existence and uniqueness and the compatibility of geometric Gibbs measures associated with these continuous *** introduce a complex Banach manifold structure on the space of these continuous potentials as well as on the space of all geometric Gibbs *** prove that with this complex Banach manifold structure,the space is complete and,moreover,is the completion of the space of all smooth potentials as well as the space of all classical Gibbs *** is a maximum metric on the space,which is *** prove that the topology induced by the newly introduced complex Banach manifold structure and the topology induced by the maximal metric are the *** prove that a geometric Gibbs measure is an equilibrium state,and the in mum of the metric entropy function on the space is zero.

关键词： geometric Gibbs measure continuous potential smooth potential Teichmuller's metric maximum metric Kobayashi's metric symmetric rigidity complex Banach manifold

Advance in Operator Theory and jiang's Seven Questions

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Communications in Mathematical Research 2023年第2期39卷 287-295页

作者： Chunlan jiang Yang Cao Department of Mathematics Hebei Normal UniversityShijiazhuangHebei 050016China School of Mathematics Jilin UniversityQianjin Street 2699Changchun130021China

In this paper we review the seven questions posed by Professor jiang Zejian and summarize the progress of ***,we introduce those applications of tools developed in studying jiang's questions,especially in dealing with... 详细信息

关键词： BIR operator geometric operator Halmos'third question

A pedagogical review on solvable irrelevant deformations of 2D quantum field theory

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Communications in Theoretical Physics 2021年第5期73卷 118-156页

作者： Yunfeng jiang CERN Theory Department GenevaSwitzerland

This is a pedagogical review on TT^(-)deformation of two dimensional quantum field *** is based on three lectures which the author gave at ITP-CAS in December *** review consists of four *** first part is a general introduction to TT^(-)*** emphasises are put on the deformed classical Lagrangian and the exact solvability of the *** second part focuses on the torus partition sum of the TT^(-)/JT^(-)deformed conformal field theories and modular invariance/*** the third part,different perspectives of TT^(-)deformation are presented,including its relation to random geometry,2D topological gravity and *** summarize more recent developments until January 2021 in the last part.

关键词： irrelevant deformation integrability conformal field theory 2D gravity holographic duality

Quantum age of vector magnetic field measurements

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Science China(Physics,Mechanics & Astronomy) 2024年第10期67卷 164-165页

作者： Min jiang CAS Key Laboratory of Microscale Magnetic Resonance and School of Physical Sciences University of Science and Technology of ChinaHefei 230026China

Magnetic fields are ubiquitous,and precise measurements of them can serve as powerful tools for deep understanding and accurate detection across multiple disciplines,including physics,biology,and chemistry[1].For instance,by measuring the magnetic fields within the human heart and brain,the medical community could obtain accurate disease diagnoses.

关键词： magnetic Quantum precise

基于多维邻近性的药学领域科技创新主导力扩散仿真研究

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现代情报 2025年第1期45卷 60-80页

作者：贺超城黄茜徐雨舒吴江武汉大学信息管理学院湖北武汉430072

[目的/意义]科技创新主导力与创新团队的产出绩效息息相关,在日益庞杂的科技创新合作中至关重要。然而现有科技创新主导力的研究大多集中在定性讨论方面,本文从定量角度深入探讨科技创新主导力网络的演化机制,有助于进一步促进科技创新... 详细信息

[目的/意义]科技创新主导力与创新团队的产出绩效息息相关,在日益庞杂的科技创新合作中至关重要。然而现有科技创新主导力的研究大多集中在定性讨论方面,本文从定量角度深入探讨科技创新主导力网络的演化机制,有助于进一步促进科技创新合作。[方法/过程]本文以药学领域的数据驱动,设定创新主体的搜索规则、主导规则、创新规则,以平均科技创新增益及其扩散速率为评价指标来衡量科技创新主导力的扩散效果,模拟科技创新主导力的扩散过程,并进一步探究多维邻近性与科技创新主导力扩散的动态关系。[结果/结论]结果显示,多维邻近性对科技创新主导力扩散具有重要影响,且不同邻近性在网络演化的不同阶段发挥着不同的作用。本文全面细致地刻画了多维邻近性在科技创新主导力网络演化的不同阶段所发挥的具体作用,进而为机构/企业和创新个体的发展提供参考。

关键词：科技创新主导力扩散机制多维邻近性仿真模拟科研合作网络

Optimizing partitioning strategies for faster inverted index compression

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Frontiers of Computer Science 2019年第2期13卷 343-356页

作者： Xingshen SONG Yuexiang YANG Yu jiang Kun jiang College of Computer National University of Defense Technology Changsha 410000 China School of Electronic and Information Engineering Xi'an Jiaotong University Xi'an 710000 China

The inverted index is a key component for search engines to manage billions of documents and quickly respond to users' queries. Whereas substantial effort has been devoted to reducing space occupancy and decoding speed, the encoding speed when constructing the index has been overlooked. Partitioning the index aligning to its clustered distribution can effectively minimize the compressed size while accelerating its construction procedure. In this study, we introduce compression speed as one criterion to evaluate compression techniques, and thoroughly analyze the performance of different partitioning strategies. Optimizations are also proposed to enhance state-of-the-art methods with faster compression speed and more flexibility to partition an index. Experiments show that our methods offer a much better compression speed, while retaining an excellent space occupancy and decompression speed, networks.

关键词： in verted index index compression optimal partition approximation algorithm