Results in Applied Mathematics最新文献_第3页

Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces rd -空间上广义加权Morrey空间上的双线性θ型Calderón-Zygmund算子及其对易子

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100587

Suixin He , Shuangping Tao

引用次数: 0

Chromatic number of random graphs: An approach using a recurrence relation 随机图的色数：一种使用递归关系的方法

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100600

Yayoi Abe, Auna Setoh, Gen Yoneda

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Numerical solution and errors analysis of iterative method for a nonlinear plate bending problem 非线性板弯曲问题迭代法的数值解及误差分析

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100576

Akakpo Amoussou Wilfried , Houédanou Koffi Wilfrid

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A new numerical approach for solving space–time fractional Schrödinger differential equations via fractional-order Chelyshkov functions 用分数阶车里什科夫函数求解时空分数阶Schrödinger微分方程的一种新的数值方法

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100584

Somayeh Nemati , Salameh Sedaghat , Sajedeh Arefi

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Conformal prediction across scales: Finite-sample coverage with hierarchical efficiency 跨尺度的保形预测：具有层次效率的有限样本覆盖

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100589

Ali Baheri , Marzieh Amiri Shahbazi

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引用次数: 0

Capacity constraints in ball and urn distribution problems 球缸分布问题中的容量约束

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100592

Jingwei Li, Thomas G. Robertazzi

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Fractional Routh-Hurwitz conditions and nonlinear dynamics in some 3D and 4D dynamical systems modeled by Caputo-Fabrizio operators 用Caputo-Fabrizio算子建模的三维和四维动力系统的分数阶Routh-Hurwitz条件和非线性动力学

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100588

A.E. Matouk

引用次数: 0

Multivariate spatial conditional U-quantiles: a Bahadur–Kiefer representation 多元空间条件u分位数：一种Bahadur-Kiefer表示

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100593

Salim Bouzebda, Nourelhouda Taachouche

{"title":"Multivariate spatial conditional U-quantiles: a Bahadur–Kiefer representation","authors":"Salim Bouzebda, Nourelhouda Taachouche","doi":"10.1016/j.rinam.2025.100593","DOIUrl":"10.1016/j.rinam.2025.100593","url":null,"abstract":"<div><div>Quantiles constitute a core concept in probability theory and theoretical statistics, providing an indispensable instrument in a wide array of applications. Although the univariate notion of quantiles is intuitively clear and mathematically well established, extending this concept to a multivariate framework poses significant theoretical and practical challenges. A well-established approach to extending univariate quantiles to the multivariate setting is the <em>spatial</em> (or <em>geometric</em>) framework, whose empirical counterparts exhibit notable robustness and admit an elegant Bahadur–Kiefer representation. Independently, another generalization of univariate quantiles leads to <span><math><mi>U</mi></math></span><em>-quantiles</em>, which naturally encompass classical estimators such as the Hodges–Lehmann estimator for a central tendency. In this study, we bridge these perspectives by introducing <em>multivariate conditional spatial</em> <span><math><mi>U</mi></math></span><em>-quantiles</em> and deriving their corresponding Bahadur–Kiefer representation. This representation enables us to establish fundamental theoretical properties, including weak convergence and a law of the iterated logarithm. These results are proved under some standard structural conditions on the Vapnik–Chervonenkis classes of functions and some mild conditions on the model. The uniform limit theorems discussed in this paper are key tools for further developments in data analysis involving empirical process techniques.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100593"},"PeriodicalIF":1.4,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144185197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Functional dimensionality of Koopman eigenfunction space 库普曼特征函数空间的泛函维数

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100585

Ido Cohen , Eli Appleboim , Gershon Wolansky

引用次数: 0

Analysis and numerical solution of some minimal time control problems 若干最小时间控制问题的分析与数值求解

IF 1.4

Results in Applied Mathematics Pub Date : 2025-05-01 DOI: 10.1016/j.rinam.2025.100582

Enrique Fernández-Cara , Irene Marín Gayte

引用次数: 0