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STRONGLY CONVERGENT INERTIAL FORWARD-BACKWARD-FORWARD ALGORITHM WITHOUT ON-LINE RULE FOR VARIATIONAL INEQUALITIES

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Acta Mathematica Scientia 2024年第2期44卷 551-566页

作者：姚永红 Abubakar ADAMU Yekini SHEHU School of mathematical sciences Tiangong UniversityTianjin300387China center for Advanced Information Technology Kyung Hee UniversitySeoul02447South Korea Operational Research center in Healthcare Near East UniversityTRNC Mersion 10Nicosia99138Turkey Charles Chidume Mathematics institute African University of Science and TechnologyAbuja900107Nigeria School of mathematical sciences Zhejiang Normal UniversityJinhua321004China

This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert *** our convergence analysis,we do not assume the on-line rule of the inertial parameters and the iterates,which have been assumed by several authors whenever a strongly convergent algorithm with an inertial extrapolation step is proposed for a variational inequality ***,our proof arguments are different from what is obtainable in the relevant ***,we give numerical tests to confirm the theoretical analysis and show that our proposed algorithm is superior to related ones in the literature.

关键词： forward-backward-forward algorithm inertial extrapolation variational inequality on-line rule

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Holder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion

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Science China Mathematics 2024年第8期67卷 1777-1806页

作者： Tianwen Luo Tao Tao Liqun Zhang Yau mathematical sciences center Tsinghua UniversityBeijing 100084China School of Mathematics Shandong UniversityJinan 250100China institute of Mathematics Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of mathematical sciences University of Chinese Academy of SciencesBeijing 100049China

We show the existence of H¨older continuous periodic weak solutions of the 2D Boussinesq equation with thermal diffusion which satisfy the prescribed kinetic *** precisely,for any smooth e(t):[0,1]→R+andε∈(0,110),there exist v∈C 110−ε([0,1]×T2)andθ∈C 1,120−εt 2 C 2,1 x 10−ε([0,1]×T2),which satisfy(1.1)in the sense of distribution and e(t)=ˆT2|v(t,x)|2 dx,∀t∈[0,1].

关键词： 2D Boussinesq equation with thermal diffusion Holder continuous periodic weak solutions prescribed kinetic energy

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Using Extreme Value Theory Approaches to Estimate High Quantiles for Stroke Data

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Open Journal of Statistics 2024年第1期14卷 150-162页

作者： Justin Ushize Rutikanga Aliou Diop Charline Uwilingiyimana african institute of mathematical sciences rwandan center Kigali Rwanda College of Agriculture Animal Sciences and Veterinary Medicine (CAVM) University of Rwanda Musanze Rwanda LERSTAD Gaston Berger University Saint Louis Senegal Department of Statistics Applied to Economy INES Ruhengeri Institute of Applied Sciences Musanze Rwanda

This paper aims to explore the application of Extreme Value Theory (EVT) in estimating the conditional extreme quantile for time-to-event outcomes by examining the functional relationship between ambulatory blood pressure trajectories and clinical outcomes in stroke patients. The study utilizes EVT to analyze the functional connection between ambulatory blood pressure trajectories and clinical outcomes in a sample of 297 stroke patients. The 24-hour ambulatory blood pressure measurement curves for every 15 minutes are considered, acknowledging a censored rate of 40%. The findings reveal that the sample mean excess function exhibits a positive gradient above a specific threshold, confirming the heavy-tailed distribution of data in stroke patients with a positive extreme value index. Consequently, the estimated conditional extreme quantile indicates that stroke patients with higher blood pressure measurements face an elevated risk of recurrent stroke occurrence at an early stage. This research contributes to the understanding of the relationship between ambulatory blood pressure and recurrent stroke, providing valuable insights for clinical considerations and potential interventions in stroke management.

关键词： Censored Data Conditional Extreme Quantile Kernel Estimator Weibull Tail Coefficient

Aubry-Mather theory for contact Hamiltonian systems III

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Science China Mathematics 2024年

作者： Panrui Ni Lin Wang Shanghai center for mathematical sciences Fudan University School of Mathematics and Statistics Beijing Institute of Technology

By exploiting the contact Hamiltonian dynamics(T*M × R, Φt) around the Aubry set of contact Hamiltonian systems, we provide a relation among the Mather set, the Φt-recurrent set, the strongly static set,the Aubry set, the Ma?ne′ set, and the Φt-non-wandering set. Moreover, we consider the strongly static set, as a new flow-invariant set between the Mather set and the Aubry set in the strictly increasing case. We show that this set plays an essential role in the representation of certain minimal forward weak Kolmogorov-Arnold-Moser(KAM) solutions and the existence of transitive orbits around the Aubry set.

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Density peak clustering using tensor network

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Science China(Information sciences) 2024年第3期67卷 321-322页

作者： Xiao SHI Yun SHANG institute of Mathematics Academy of Mathematics and Systems ScienceChinese Academy of Sciences School of mathematical sciences University of Chinese Academy of Sciences National center for Mathematics and Interdisciplinary sciences Key Laboratory of ManagementDecision and Information SystemsAcademy of Mathematics and Systems ScienceChinese Academy of Sciences

Tensor networks have been a powerful tool in simulating many-body physics and have recently gained recognition in the machine learning community due to their remarkable representation capabilities. However, using tens... 详细信息

关键词： Tensors

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Slowly rotating charges from Weyl double copy for Kerr black hole with Chern–Simons correction

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Communications in Theoretical Physics 2024年第08期76卷 141-148页

作者： Yi-Ran Liu Jing-Rui Zhang Yun-Long Zhang School of Fundamental Physics and mathematical sciences Hangzhou Institute for Advanced StudyUCAS CAS Key Laboratory of Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences University of Chinese Academy of sciences National Astronomy Observatories Chinese Academy of Science International center for Theoretical Physics Asia-Pacific

The Weyl double copy builds the relation between gauge theory and gravity theory, in particular the correspondence between gauge solutions and gravity solutions. In this paper, we obtain the slowly rotating charge solutions from the Weyl double copy for the Kerr black hole with small Chern–Simons correction. Based on the Weyl double copy relation, for the Petrov type D solution in Chern–Simons modified gravity, we find the additional correction to the electromagnetic field strength tensor of the rotating charge. For the Petrov type I solution, we find that the additional electromagnetic field strength tensors have external sources, while the total sources vanish at the leading order.

关键词： Chern-Simons modified gravity Kerr black hole Weyl double copy

H?lder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion

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Science China Mathematics 2024年

作者： Tianwen Luo Tao Tao Liqun Zhang School of mathematical sciences University of Chinese Academy of Sciences institute of Mathematics Academy of Mathematics and Systems ScienceChinese Academy of Sciences School of Mathematics Shandong University Yau mathematical sciences center Tsinghua University

We show the existence of Holder continuous periodic weak solutions of the 2 D Boussinesq equation with thermal diffusion which satisfy the prescribed kinetic *** precisely,for any smooth e(t):[0,1]→ R+and ε ∈(0,1/10),there exist v ∈ C1/10-ε([0,1] × T2) and θ ∈ Ct1,1/20-ε/2Cx2,1/10-ε([0,1]×T2),which satisfy(1.1) in the sense of distribution and e(t)=∫T2|v(t,x)|2dx,?t ∈ [0,1].

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Movement Trend Alterations in the Periaqueductal Gray(PAG)-Employed Ratbot Navigation Are Correlated with Stimulation Parameters

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Journal of Bionic Engineering 2024年第2期21卷 866-876页

作者： Sina Khajei Abed Khorasani Mohammad Reza Afarinesh Vahid Sheibani Neuroscience Research center Institute of NeuropharmacologyKerman University of Medical SciencesKerman***Iran Cognitive Neuroscience Research center Institute of NeuropharmacologyKerman University of Medical SciencesKerman***Iran

In previous studies,Periaqueductal Gray(PAG)stimulation was used to stop ratbots from *** to the homology between the PAG and the intercollicular nucleus,which has been used for forward movement in birds,we investigated the possibility of PAG application to induce forward locomotion for the first *** a corridor maze,the traveled distances via PAG electrical stimulation were examined in nine Wistar male rats during three sessions.A custom-designed stimulator was developed to apply the *** results showed reductions in responses to stimulation over ***,the traveled distances had negative slopes during the consecutive trials(in 8 out of the 9 rats),and the slope mean was significantly different from *** was a strong correlation between the stimulation parameters(electric Charge per Phase(CPP)and the Number of Pulses(NP))and the observed *** negative Movement Slopes(MS)were highly correlated with the CPP and the NP,as the Pearson's linear correlation coefficients were−0.87 and−0.79,*** MS-CPP coefficients of determination(R-squared)were also between 0.76 and *** addition,the MS-NP coefficients of determination were between 0.63 and ***,it is concluded that the electrical stimulation parameters influence the behavioral outcomes ***,the PAG area may be considered a suitable candidate for forward locomotion control in the future if the area is harnessed effectively to prevent undesirable chaotic behaviors.

关键词： Periaqueductal Gray(PAG) Navigation Ratbot Animal-robot Forward locomotion Movement slope

Materials design and preparation of ultrathin two-dimensional metal halide perovskites

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Nano Research 2024年第7期17卷 6231-6246页

作者： Xiaomin Zhang Sihan Zhao Junran Zhang Lin Wang School of Flexible Electronics(Future Technologies)and institute of Advanced Materials Key Laboratory of Flexible ElectronicsJiangsu National Synergetic Innovation Center for Advanced MaterialsSchool of Physical and Mathematical SciencesNanjing Tech UniversityNanjing 211816China

Metal halide perovskites(MHPs)have emerged as highly promising candidates for the next generation of photonics and optoelectronic devices,owing to their prominent optical and excitonic properties,as well as the convenience of ***,ultrathin two-dimensional(2D)MHPs,which are generally prepared by exfoliation,solution growth,and chemical vapor deposition method,have attracted dramatically increasing attentions owing to their combined features of ultrathin 2D morphology and superior performance of *** the growing interest in ultrathin 2D MHPs,there is currently a lack of a comprehensive and systematic overview of the distinct advantages offered by each growth method for producing these *** review critically assesses the preliminary studies on the materials design and preparation of ultrathin ***,it explores heterostructures based on ultrathin MHPs and offers insights into the challenges and opportunities that lie ahead for this enticing class of 2D materials.

关键词： ultrathin perovskites material preparation exfoliation solution growth chemical vapor deposition