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Quantile Regression under Truncated, Censored and Dependent Assumptions
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-024-1034-6
Chang-sheng Liu, Yun-jiao Lu, Si-li Niu
{"title":"Quantile Regression under Truncated, Censored and Dependent Assumptions","authors":"Chang-sheng Liu,&nbsp;Yun-jiao Lu,&nbsp;Si-li Niu","doi":"10.1007/s10255-024-1034-6","DOIUrl":"10.1007/s10255-024-1034-6","url":null,"abstract":"<div><p>In this paper, we focus on the problem of nonparametric quantile regression with left-truncated and right-censored data. Based on Nadaraya-Watson (NW) Kernel smoother and the technique of local linear (LL) smoother, we construct the NW and LL estimators of the conditional quantile. Under strong mixing assumptions, we establish asymptotic representation and asymptotic normality of the estimators. Finite sample behavior of the estimators is investigated via simulation, and a real data example is used to illustrate the application of the proposed methods.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"479 - 497"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exact values of generic subrank
IF 1.5 1区 数学
Advances in Mathematics Pub Date : 2025-04-02 DOI: 10.1016/j.aim.2025.110234
Paweł Pielasa , Matouš Šafránek , Anatoli Shatsila
{"title":"Exact values of generic subrank","authors":"Paweł Pielasa ,&nbsp;Matouš Šafránek ,&nbsp;Anatoli Shatsila","doi":"10.1016/j.aim.2025.110234","DOIUrl":"10.1016/j.aim.2025.110234","url":null,"abstract":"<div><div>In this article we prove the subrank of a generic tensor in <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi><mo>,</mo><mi>n</mi><mo>,</mo><mi>n</mi></mrow></msup></math></span> to be <span><math><mi>Q</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mo>⌊</mo><msqrt><mrow><mn>3</mn><mi>n</mi><mo>−</mo><mn>2</mn></mrow></msqrt><mo>⌋</mo></math></span> by providing a lower bound to the known upper bound. More generally, we find the generic subrank of tensors of all orders and dimensions. This answers two open questions posed in <span><span>[5]</span></span>. Finally, we compute dimensions of varieties of tensors of subrank at least <em>r</em>.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"469 ","pages":"Article 110234"},"PeriodicalIF":1.5,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143746366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strontium ferrite nanoparticles based broadband nonlinear optical modulator for ultrafast pulse generation in fiber lasers
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-04-02 DOI: 10.1016/j.chaos.2025.116395
Mamoon Asghar , M. Hamza Younes , Qaisar Hayat , Asma Noor , Tahani A. Alrebdi , Haroon Asghar
{"title":"Strontium ferrite nanoparticles based broadband nonlinear optical modulator for ultrafast pulse generation in fiber lasers","authors":"Mamoon Asghar ,&nbsp;M. Hamza Younes ,&nbsp;Qaisar Hayat ,&nbsp;Asma Noor ,&nbsp;Tahani A. Alrebdi ,&nbsp;Haroon Asghar","doi":"10.1016/j.chaos.2025.116395","DOIUrl":"10.1016/j.chaos.2025.116395","url":null,"abstract":"<div><div>Nanomaterials exhibiting broadband nonlinear optical responses have garnered considerable interest in the field of ultrafast photonics. These materials have been extensively validated as effective saturable absorbers (SAs), demonstrating their capability to facilitate the generation of broadband optical pulses. In this study, strontium ferrite nanoparticles (SrFeO-NPs), were synthesized using the sol-gel method and were then employed as SA to initiate ultrafast pulse operation in fiber lasers. The prepared NPs exhibited excellent nonlinear absorption properties, enabling the measurement of modulation depth and saturation intensities across the 1–2 μm spectral range. The measured results showed that the SrFeO-NPs as SA in fiber lasers yielded pulse durations in the femtosecond (fs) domain in Yb, Er, and Tm-doped fiber lasers, with pulse durations of 801 fs, 857 fs, and 671 fs, respectively. The performance characteristics of the output pulses, containing wavelength, repetition rates, output power, pulse energy, and stability, were also examined and discussed in detail. This study paves the way for novel approaches in integrating diverse materials, thereby advancing the development of broadband laser systems utilizing nanomaterials for applications in the extended near to mid-infrared spectral region.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116395"},"PeriodicalIF":5.3,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143746965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Darboux Matrices With a Single Multiple Pole and Their Applications
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2025-04-02 DOI: 10.1111/sapm.70046
Yu-Yue Li, Deng-Shan Wang
{"title":"The Darboux Matrices With a Single Multiple Pole and Their Applications","authors":"Yu-Yue Li,&nbsp;Deng-Shan Wang","doi":"10.1111/sapm.70046","DOIUrl":"https://doi.org/10.1111/sapm.70046","url":null,"abstract":"<div>\u0000 \u0000 <p>Darboux transformation (DT) plays a key role in constructing explicit closed-form solutions of completely integrable systems. This paper provides an algebraic construction of Darboux matrices with a single multiple pole for the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 <mo>×</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$2times 2$</annotation>\u0000 </semantics></math> Lax pair, in which the coefficient matrices are polynomials of spectral parameter. This special DT can handle the case where the spectral parameter coincides with its conjugate spectral parameter under non-Hermitian reduction. The first-order monic Darboux matrix is constructed explicitly and its classification theorem is presented. Then by using the solutions of the corresponding adjoint Lax pair, the <span></span><math>\u0000 <semantics>\u0000 <mi>n</mi>\u0000 <annotation>$n$</annotation>\u0000 </semantics></math>-order monic Darboux matrix and its inverse, both sharing the same unique pole, are derived explicitly. Further, a theorem is proposed to describe the invariance of Darboux matrix regarding pole distributions in Darboux matrix and its inverse. Finally, a unified theorem is offered to construct formal DT in general form. That is, all Darboux matrices expressible as the product of <span></span><math>\u0000 <semantics>\u0000 <mi>n</mi>\u0000 <annotation>$n$</annotation>\u0000 </semantics></math> first-order monic Darboux matrices can be constructed in this way. The nonlocal focusing NLS equation, the focusing NLS equation, and the Kaup–Boussinesq equation are taken as examples to illustrate the application of these DTs.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polynomial normal forms for ODEs near a center-saddle equilibrium point
IF 2.4 2区 数学
Journal of Differential Equations Pub Date : 2025-04-02 DOI: 10.1016/j.jde.2025.113268
Amadeu Delshams , Piotr Zgliczyński
{"title":"Polynomial normal forms for ODEs near a center-saddle equilibrium point","authors":"Amadeu Delshams ,&nbsp;Piotr Zgliczyński","doi":"10.1016/j.jde.2025.113268","DOIUrl":"10.1016/j.jde.2025.113268","url":null,"abstract":"<div><div>In this work we consider a saddle-center equilibrium for general vector fields as well as Hamiltonian systems, and we transform it locally into a polynomial normal form in the saddle variables by a change of coordinates. This problem was first solved by Bronstein and Kopanskii in 1994 <span><span>[3]</span></span>, as well as by Banyaga, de la Llave and Wayne in 1996 <span><span>[5]</span></span> in the saddle case. The proof used relies on the deformation method used in <span><span>[5]</span></span>, which in particular implies the preservation of the symplectic form for a Hamiltonian system, although our proof is different and, we believe, simpler. We also show that if the system has sign-symmetry, then the transformation can be chosen so that it also has sign-symmetry. This issue is important in our study of shadowing non-transverse heteroclinic chains (Delshams and Zgliczynski 2018 and 2024) for the toy model systems (TMS) of the cubic defocusing nonlinear Schrödinger equation (NLSE) on 2<em>D</em>-torus or similar Hamiltonian PDE, which are used to prove energy transfer in these PDE.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"436 ","pages":"Article 113268"},"PeriodicalIF":2.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Central Limit Theorem, Moderate Deviation and an Upper Bound of Large Deviation for Multivariate Marked Hawkes Processes
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-025-0006-9
Ming-zhou Xu, Kun Cheng, Yun-zheng Ding
{"title":"Central Limit Theorem, Moderate Deviation and an Upper Bound of Large Deviation for Multivariate Marked Hawkes Processes","authors":"Ming-zhou Xu,&nbsp;Kun Cheng,&nbsp;Yun-zheng Ding","doi":"10.1007/s10255-025-0006-9","DOIUrl":"10.1007/s10255-025-0006-9","url":null,"abstract":"<div><p>We study a multivariate linear Hawkes process with random marks. In this paper, we establish that a central limit theorem, a moderate deviation principle and an upper bound of large deviation for multivariate marked Hawkes processes hold.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"573 - 587"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Constrained Stochastic Recursive Linear Quadratic Optimal Control Problems and Application to Finance
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-04-02 DOI: 10.1007/s10255-024-1157-9
Liang-quan Zhang, Qing Zhou
{"title":"Constrained Stochastic Recursive Linear Quadratic Optimal Control Problems and Application to Finance","authors":"Liang-quan Zhang,&nbsp;Qing Zhou","doi":"10.1007/s10255-024-1157-9","DOIUrl":"10.1007/s10255-024-1157-9","url":null,"abstract":"<div><p>In this paper, we focus on a control-constrained stochastic LQ optimal control problem via backward stochastic differential equation (BSDE in short) with deterministic coefficients. One of the significant features in this framework, in contrast to the classical LQ issue, embodies that the admissible control set needs to satisfy more than the square integrability. By introducing two kinds of new generalized Riccati equations, we are able to announce the explicit optimal control and the solution to the corresponding H-J-B equation. A linear quadratic recursive utility portfolio optimization problem in the financial engineering is discussed as an explicitly illustrated example of the main result with short-selling prohibited. Feasibility of the mean-variance portfolio selection problem via BSDE for a financial market is characterized, and associated efficient portfolios are given in a closed form.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 2","pages":"375 - 399"},"PeriodicalIF":0.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Information dissemination and phase transition in fractal social networks
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108812
Li Luo, Fuzhong Nian, Fangfang Li, Yuanlin Cui
{"title":"Information dissemination and phase transition in fractal social networks","authors":"Li Luo,&nbsp;Fuzhong Nian,&nbsp;Fangfang Li,&nbsp;Yuanlin Cui","doi":"10.1016/j.cnsns.2025.108812","DOIUrl":"10.1016/j.cnsns.2025.108812","url":null,"abstract":"<div><div>Fractals are a common geometric structure in nature, exhibiting the rich complexity and regularity of the physical world. In the study of complex networks, the self-similarity and multi-layered characteristics of fractal networks make them an ideal model for investigating information dissemination mechanisms. This paper constructs a fractal social network with three-layer granularity structure and proposes a novel dynamic fractal propagation model: F-SI model, in order to explore the factors influencing information propagation and the phase transition phenomena in fractal social networks. In the propagation model, node interest and node contribution are introduced to measure the cumulative impact and propagation probability of nodes in networks of different granularities, and to explore the dynamics of information dissemination under different conditions. The experiments show that information dissemination in fractal social networks exhibits the staircase propagation and phase transition phenomenon. The phase transition is closely related to the group structure and infection density of networks with varying granularities. Research indicates that controlling the propagation speed is more effective in curbing information dissemination in fractal network than controlling the propagation scope. This study provides theoretical guidance for controlling the spread of epidemics and public opinion in networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108812"},"PeriodicalIF":3.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Well-Posedness of 3D MHD Equations with Damping on Time-Varying Domains
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-02 DOI: 10.1007/s00245-025-10253-7
Xiaoya Song
{"title":"Well-Posedness of 3D MHD Equations with Damping on Time-Varying Domains","authors":"Xiaoya Song","doi":"10.1007/s00245-025-10253-7","DOIUrl":"10.1007/s00245-025-10253-7","url":null,"abstract":"<div><p>In the present paper, we consider the well-posedness of 3D MHD equations with the damping terms <span>(|u|^{alpha -1}u)</span> and <span>(|B|^{beta -1}B)</span> (<span>(alpha ,beta ge 1)</span>) defined on time-varying domains with homogeneous Dirichlet boundary conditions. We show that the damped 3D MHD system has global weak solutions for any <span>(1le alpha ,beta le 5)</span> and the weak solution is unique for any <span>(4le alpha ,beta le 5)</span>.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability and stabilization of set differential systems with non-instantaneous impulses
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108807
Peiguang Wang , Mengyu Guo , Wenli Wang
{"title":"Stability and stabilization of set differential systems with non-instantaneous impulses","authors":"Peiguang Wang ,&nbsp;Mengyu Guo ,&nbsp;Wenli Wang","doi":"10.1016/j.cnsns.2025.108807","DOIUrl":"10.1016/j.cnsns.2025.108807","url":null,"abstract":"<div><div>In this paper, we discuss set differential systems with control effects and non-instantaneous impulses. A generalized Cauchy–Schwarz inequality is first proposed. The stability criteria of such systems based on our proposed inequality and Lyapunov function method are obtained. Moreover, the hybrid controller including a set-valued feedback controller and a non-instantaneous impulsive controller is designed. Finally, the obtained results are applied to supply chain systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108807"},"PeriodicalIF":3.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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