发布求助
文献互助 智能选刊 最新文献

数学最新文献

筛选
英文 中文
On the boundedness of canonical models 关于规范模型的有界性
IF 1.3 1区 数学
Algebra & Number Theory Pub Date : 2025-09-14 DOI: 10.2140/ant.2025.19.2119
Junpeng Jiao
{"title":"On the boundedness of canonical models","authors":"Junpeng Jiao","doi":"10.2140/ant.2025.19.2119","DOIUrl":"https://doi.org/10.2140/ant.2025.19.2119","url":null,"abstract":"<p>It is conjectured that the canonical models of varieties (not of general type) are bounded when the Iitaka volume is fixed. We confirm this conjecture when a general fiber of the corresponding Iitaka fibration is in a fixed bounded family of polarized log Calabi–Yau pairs. </p>","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":"29 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059683","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
Points of bounded height on certain subvarieties of toric varieties 环面变种的某些子变种上有界高度的点
IF 1.3 1区 数学
Algebra & Number Theory Pub Date : 2025-09-14 DOI: 10.2140/ant.2025.19.2281
Marta Pieropan, Damaris Schindler
{"title":"Points of bounded height on certain subvarieties of toric varieties","authors":"Marta Pieropan, Damaris Schindler","doi":"10.2140/ant.2025.19.2281","DOIUrl":"https://doi.org/10.2140/ant.2025.19.2281","url":null,"abstract":"<p>We combine the split torsor method and the hyperbola method for toric varieties to count rational points and Campana points of bounded height on certain subvarieties of toric varieties. </p>","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":"34 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059687","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
On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li Prokhorov-Shokurov的有效附加猜想与Li的等效性
IF 1.3 1区 数学
Algebra & Number Theory Pub Date : 2025-09-14 DOI: 10.2140/ant.2025.19.2261
Jingjun Han, Jihao Liu, Qingyuan Xue
{"title":"On the equivalence between the effective adjunction conjectures of Prokhorov–Shokurov and of Li","authors":"Jingjun Han, Jihao Liu, Qingyuan Xue","doi":"10.2140/ant.2025.19.2261","DOIUrl":"https://doi.org/10.2140/ant.2025.19.2261","url":null,"abstract":"<p>Prokhorov and Shokurov introduced the effective adjunction conjecture, also known as the effective basepoint-freeness conjecture, which asserts that the moduli component of an lc-trivial fibration is effectively basepoint-free. Li proposed a variation of this conjecture, known as the <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>Γ</mi></math>-effective adjunction conjecture, and demonstrated that a weaker version of his conjecture follows from the original Prokhorov–Shokurov conjecture. </p><p> In this paper, we prove the equivalence between Prokhorov–Shokurov’s and Li’s effective adjunction conjectures. The key to our proof is establishing uniform rational polytopes for canonical bundle formulas. This relies on recent advancements in the minimal model program theory of algebraically integrable foliations, primarily developed by Ambro–Cascini–Shokurov–Spicer and Chen–Han–Liu–Xie. </p>","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":"38 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059686","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
Enhanced sensitivity, stability, and dynamic behavior of the Biswas-Milovic equation with Kerr-Law non-linearity 具有Kerr-Law非线性的Biswas-Milovic方程的增强灵敏度，稳定性和动态行为
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-13 DOI: 10.1007/s13324-025-01111-4
Nadia Cheemaa, H. M. A. Siddiqui, Bismah Yousaf, Ahmet Bekir, Mouna Jeridi, Norah Alomayrah
{"title":"Enhanced sensitivity, stability, and dynamic behavior of the Biswas-Milovic equation with Kerr-Law non-linearity","authors":"Nadia Cheemaa,&nbsp;H. M. A. Siddiqui,&nbsp;Bismah Yousaf,&nbsp;Ahmet Bekir,&nbsp;Mouna Jeridi,&nbsp;Norah Alomayrah","doi":"10.1007/s13324-025-01111-4","DOIUrl":"10.1007/s13324-025-01111-4","url":null,"abstract":"<div><p>This work derives novel exact solutions of the Biswas–Milovic nonlinear Schrödinger equation by employing the innovative Extended Modified Auxiliary Equation Mapping Technique, augmented with enhanced sensitivity analysis. The resulting bright, kink, anti-kink, and periodic soliton solutions provide deep insights into the complex dynamics of nonlinear wave propagation. To unravel the intricate behaviors of these solitons, we analyze phase trajectories, density distributions, and streamlines, with a particular focus on their sensitivity to initial conditions. Stability is rigorously evaluated through a Hamiltonian formalism, ensuring both analytical rigor and structural robustness. Collectively, these findings enrich the theoretical understanding of soliton dynamics and open new pathways for practical applications in advanced physical systems.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Higher-order moment fuzzy portfolio selection model based on neural networks: Integrating behavioral finance and complex system analysis 基于神经网络的高阶矩模糊投资组合模型：结合行为金融学和复杂系统分析
IF 5.6 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-09-13 DOI: 10.1016/j.chaos.2025.117195
Yu Zhou, Chun Yan, Xiangrong Wang
{"title":"Higher-order moment fuzzy portfolio selection model based on neural networks: Integrating behavioral finance and complex system analysis","authors":"Yu Zhou,&nbsp;Chun Yan,&nbsp;Xiangrong Wang","doi":"10.1016/j.chaos.2025.117195","DOIUrl":"10.1016/j.chaos.2025.117195","url":null,"abstract":"<div><div>In big data-driven socio-economic systems, traditional financial theories struggle to capture the complexity of investor behavior, uncertainty, and system dynamics. This paper introduces a high-order moment fuzzy portfolio selection model that integrates regret theory with a neural network-based evaluation approach. The model adopts a behavioral finance perspective by incorporating emotional factors such as regret and elation into the decision-making process. Trapezoidal fuzzy numbers are used to represent asset returns in order to account for uncertainty, while mean, variance, and skewness are included as optimization objectives. A neural network mutual evaluation framework assesses decision-making unit efficiency, using current ratio, quick ratio, cash ratio, and ownership ratio as inputs, and earnings per share, total revenue, net profit, and return on equity as outputs. The model supports mutual evaluation in fuzzy environments and helps select portfolios aligned with investors’ psychological expectations. Empirical analysis based on Chinese stock market data confirms its feasibility, robustness, and ability to reflect behavioral and systemic features in complex financial settings. This research bridges behavioral finance, fuzzy optimization, and complex systems theory, contributing to interdisciplinary development.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117195"},"PeriodicalIF":5.6,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047989","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
A Stationary Chemo-repulsion System with Nonlinear Production and a Bilinear Optimal Control Problem Related 一类具有非线性生产的稳态化学排斥系统及双线性最优控制问题
IF 1.7 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-09-13 DOI: 10.1007/s00245-025-10323-w
Yankis R. Linares, Exequiel Mallea-Zepeda, Israel Villarreal-Tintaya
{"title":"A Stationary Chemo-repulsion System with Nonlinear Production and a Bilinear Optimal Control Problem Related","authors":"Yankis R. Linares,&nbsp;Exequiel Mallea-Zepeda,&nbsp;Israel Villarreal-Tintaya","doi":"10.1007/s00245-025-10323-w","DOIUrl":"10.1007/s00245-025-10323-w","url":null,"abstract":"<div><p>In this paper we study a bilinear optimal control problem related to a 2D chemo-repulsion stationary model with nonlinear production term. Firstly, we prove the existence of strong solutions for each control given; then, for the extremal problem, we prove the existence of at least one global optimal solution. Afterwards, using a generic result on the existence of Lagrange multipliers, we obtain the so-called first-order necessary optimality conditions for local optimal solutions. Furthermore, we discuss an extension of the results to 3D domains.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"92 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145050891","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 analysis of a non-cooperative system of reaction-diffusion equations modeling two sub-populations with mixed dispersal. 一类非合作反应扩散方程组的稳定性分析。
IF 2.3 4区 数学
Journal of Mathematical Biology Pub Date : 2025-09-13 DOI: 10.1007/s00285-025-02281-2
C Eleh, M Khachatryan, M A Onyido, R B Salako
{"title":"Stability analysis of a non-cooperative system of reaction-diffusion equations modeling two sub-populations with mixed dispersal.","authors":"C Eleh, M Khachatryan, M A Onyido, R B Salako","doi":"10.1007/s00285-025-02281-2","DOIUrl":"https://doi.org/10.1007/s00285-025-02281-2","url":null,"abstract":"<p><p>This study is concerned with the global stability of positive equilibrium (PE) solutions in a juvenile-adult structured diffusive model featuring a mixed dispersal mechanism. Under certain generic assumptions, we establish the uniqueness and global stability of the PE. Moreover, we show that these assumptions hold if either (i) the population disperses slowly, or (ii) the adults' reproduction rate is large. In particular, our findings demonstrate that a high adult reproduction rate always benefits species survival. Interestingly, with elevated juvenile maturity rates, the population can face extinction if the average death rate of adults surpasses their average reproduction rate. A key aspect of our analysis involves deriving the exact asymptotic limit of the principal spectrum point of some cooperative systems with mixed dispersals with respect to specific model parameters. In addition, we conducted numerical simulations to illustrate our theoretical results.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 4","pages":"39"},"PeriodicalIF":2.3,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145055980","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
A scaling law for a model of epitaxially strained elastic films with dislocations 具有位错的外延应变弹性薄膜模型的标度律
IF 2.4 1区 数学
Archive for Rational Mechanics and Analysis Pub Date : 2025-09-13 DOI: 10.1007/s00205-025-02117-9
J. Ginster, L. Neubauer, B. Zwicknagl
{"title":"A scaling law for a model of epitaxially strained elastic films with dislocations","authors":"J. Ginster,&nbsp;L. Neubauer,&nbsp;B. Zwicknagl","doi":"10.1007/s00205-025-02117-9","DOIUrl":"10.1007/s00205-025-02117-9","url":null,"abstract":"<div><p>A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and nucleation energy of dislocations. A scaling law for the infimal energy is proven. The results quantify the expectation that in certain parameter regimes, island formation or topological defects are favorable. This generalizes results in the purely elastic setting from [23]. To handle dislocations in the lower bound, a new variant of a ball-construction combined with thorough local estimates is presented.</p></div>","PeriodicalId":55484,"journal":{"name":"Archive for Rational Mechanics and Analysis","volume":"249 5","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00205-025-02117-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145050826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Classification of Track (Bi)Categories via Group-Valued 3-Cocycles 基于群值3-环的轨道（Bi）类分类
IF 0.5 4区 数学
Applied Categorical Structures Pub Date : 2025-09-13 DOI: 10.1007/s10485-025-09825-z
Antonio M. Cegarra
{"title":"Classification of Track (Bi)Categories via Group-Valued 3-Cocycles","authors":"Antonio M. Cegarra","doi":"10.1007/s10485-025-09825-z","DOIUrl":"10.1007/s10485-025-09825-z","url":null,"abstract":"<div><p>Track bicategories, where each hom-category is a groupoid, appear in various mathematical and physical contexts. In this paper, we establish a cohomological classification of track bicategories and track categories using group-valued 3-cocycles on small categories, formulated as lax functors into the one-object 3-category of groups. In the abelian case, this classification aligns with Baues-Wirsching cohomology for small categories with coefficients in natural systems, recovering previously known classification results.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"33 5","pages":""},"PeriodicalIF":0.5,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145050858","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
On the complete integrability of space–time shifted nonlocal equations 时空位移非局部方程的完全可积性
IF 2.9 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-09-13 DOI: 10.1016/j.physd.2025.134931
Baoqiang Xia
{"title":"On the complete integrability of space–time shifted nonlocal equations","authors":"Baoqiang Xia","doi":"10.1016/j.physd.2025.134931","DOIUrl":"10.1016/j.physd.2025.134931","url":null,"abstract":"<div><div>We investigate the complete integrability of soliton equations with shifted nonlocal reductions under rapidly decaying boundary conditions. Using the Ablowitz–Ladik (AL) system and the Ablowitz–Kaup–Newell–Segur (AKNS) system as illustrative examples, we establish the complete integrability of models with space and space–time shifted nonlocal reductions through the explicit construction of canonical action–angle variables from their scattering data. Moreover, we demonstrate that, unlike the space and space–time shifted nonlocal cases, time-shifted nonlocal reductions are incompatible with the Poisson bracket structures of the scattering data in the presence of discrete spectrum.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"483 ","pages":"Article 134931"},"PeriodicalIF":2.9,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信