International Journal of Mathematics最新文献

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When Amenable Groups Have Real Rank Zero C*-Algebras 当可服从群具有实秩零C*-代数时

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-10-21 DOI: 10.1142/s0129167x23500921

Iason Moutzouris

We investigate when discrete, amenable groups have $C^*$-algebras of real rank zero. While it is known that this happens when the group is locally finite, the converse in an open problem. We show that if $C^*(G)$ has real rank zero, then all normal subgroups of $G$ that are elementary amenable and have finite Hirsch length must be locally finite.

我们研究当离散的，可服从的群具有[公式:见文本]-实数秩为零的代数。众所周知，当群是局部有限时，这种情况会发生，反之则是一个开放的问题。我们证明了如果[Formula: see text]的实秩为0，那么[Formula: see text]的所有初等可服从且具有有限Hirsch长度的正规子群必然是局部有限的。

引用次数: 0

Finite Distributive Lattices, Polyominoes and Ideals of Konig Type 有限分配格、多项式与Konig型理想

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-10-20 DOI: 10.1142/s0129167x23500891

Jurgen Herzog, Takayuki Hibi

Finite distributive lattices whose join-meet ideals are of König type will be classified. Furthermore, a class of polyominoes whose polyomino ideals are of König type will be studied.

对合接理想为König型的有限分配格进行分类。进一步，研究了一类多多项式理想为König型的多多项式。

引用次数: 0

A Characterization of Homogeneous Totally Real Minimal Two-Spheres in A Complex Hyperquadric 复超二次曲面上齐次全实极小二球的刻画

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-10-20 DOI: 10.1142/s0129167x23501008

Jie Fei, Jun Wang, Xiaowei Xu

引用次数: 0

Topology of functions with non-isolated stratified critical points 具有非孤立分层临界点的函数拓扑

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-10-13 DOI: 10.1142/s0129167x23500994

Nicolas Dutertre, Juan Antonio Moya Perez

引用次数: 0

Infinite Orthogonal Exponentials for a Class of Moran Measures 一类Moran测度的无穷正交指数

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-10-11 DOI: 10.1142/s0129167x23500908

Sha Wu, Jing-Cheng Liu

For a sequence [Formula: see text] of expanding matrices with [Formula: see text] and a sequence [Formula: see text] of finite digit sets with [Formula: see text], the Moran measure [Formula: see text] is defined by the infinite convolution [Formula: see text] and the convergence is in the weak sense. Under some additional assumptions, we show that [Formula: see text] contains an infinite orthogonal set of exponential functions if and only if there exists an infinite subsequence [Formula: see text] of [Formula: see text] such that [Formula: see text] for any [Formula: see text], where [Formula: see text]. This extends the results of [J. L. Li, A necessary and sufficient condition for the finite [Formula: see text]-orthogonality, Sci. China Math. 58 (2015) 2541–2548].

对于一个用[公式:见文]展开矩阵的序列[公式:见文]和一个用[公式:见文]展开矩阵的序列[公式:见文]和一个用[公式:见文]展开有限数集的序列[公式:见文]，Moran测度[公式:见文]是由无穷卷积[公式:见文]定义的，收敛性是弱意义的。在一些附加的假设下，我们证明[公式:见文]包含一个无限正交的指数函数集，当且仅当[公式:见文]存在一个无限子序列[公式:见文]，使得[公式:见文]对于任何[公式:见文]，其中[公式:见文]。这扩展了[J]。李磊，有限的一个充要条件[公式:见文]-正交性，科学。中国数学，58(2015)2541-2548。

引用次数: 0

Semi-Invariant Distribution Vectors for P-Adic Unipotent Groups p进幂偶群的半不变分布向量

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-10-05 DOI: 10.1142/s0129167x2350088x

Souha Maaref

Let [Formula: see text] be a unipotent algebraic group defined over a [Formula: see text]-adic field of characteristic zero. We denote by [Formula: see text] the set of rational points of [Formula: see text]. It is a [Formula: see text]-adic Lie group with Lie algebra denoted by [Formula: see text]. Let [Formula: see text] be an irreducible unitary representation of [Formula: see text] in a Hilbert space [Formula: see text], [Formula: see text] be a linear form on [Formula: see text] and [Formula: see text] be a polarization at [Formula: see text]. We denote by [Formula: see text] a character of [Formula: see text] related to [Formula: see text]. The aim of this study is to give a precise description of the space of semi-invariant distribution vectors [Formula: see text] of [Formula: see text].

设[公式:见文]是定义在特征为零的[公式:见文]进域上的一个单幂代数群。我们用[公式:见文]表示[公式:见文]的有理点集。它是一个[公式:见文]-进李群，李代数表示为[公式:见文]。设[公式:见文]是希尔伯特空间[公式:见文]中[公式:见文]的不可约一元表示，[公式:见文]是[公式:见文]上的线性形式，[公式:见文]是[公式:见文]上的极化。我们用[公式:见文]表示与[公式:见文]有关的[公式:见文]的一个字符。本研究的目的是给出[公式:见文]的半不变分布向量空间[公式:见文]的精确描述。

引用次数: 0

Diameter Estimates under Integral Radial m-Bakry-Emery Ricci Curvature Bounds 积分径向m-Bakry-Emery Ricci曲率界下的直径估计

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-09-29 DOI: 10.1142/s0129167x23500933

Homare Tadano

引用次数: 0

Brauer Group of Moduli Stack of Stable Parabolic PGL(r)-Bundles Over a Curve 曲线上稳定抛物线 PGL(r)- 束的模叠的布劳尔群

IF 0.6 4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-09-29 DOI: 10.1142/s0129167x23500957

Indranil Biswas, Sujoy Chakraborty, A. Dey

引用次数: 0

Linear Half-Space Problems in Kinetic Theory: Abstract Formulation and Regime Transitions 运动理论中的线性半空间问题:抽象表述和状态转换

4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-09-21 DOI: 10.1142/s0129167x2350091x

Niclas Bernhoff

Half-space problems in the kinetic theory of gases are of great importance in the study of the asymptotic behavior of solutions of boundary value problems for the Boltzmann equation for small Knudsen numbers. In this work a generally formulated half-space problem, based on generalizations of stationary half-space problems in one spatial variable for the Boltzmann equation - for hard-sphere models of monatomic single species and multicomponent mixtures - is considered. The number of conditions on the indata at the interface needed to obtain well-posedness is investigated. Exponential fast convergence is obtained"far away"from the interface. In particular, the exponential decay at regime transitions - where the number of conditions on the indata needed to obtain well-posedness changes - for linearized kinetic half-space problems related to the half-space problem of evaporation and condensation in kinetic theory are considered. The regime transitions correspond to the transition between subsonic and supersonic evaporation/condensation, or the transition between evaporation and condensation. Near the regime transitions, slowly varying modes might occur, preventing uniform exponential speed of convergence there. By imposing extra conditions on the indata at the interface, the slowly varying modes can be eliminated near a regime transition, giving rise to uniform exponential speed of convergence near the regime transition. Values of the velocity of the flow at the far end, for which regime transitions take place are presented for some particular variants of the Boltzmann equation: for monatomic and polyatomic single species and mixtures, and the quantum variant for bosons and fermions.

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引用次数: 3

Frequency and extent of cognitive complaint following adult civilian mild traumatic brain injury: a systematic review and meta-analysis. 成年平民轻度脑外伤后认知投诉的频率和程度：系统回顾和荟萃分析。

IF 0.8 4区数学 Q3 MATHEMATICS

International Journal of Mathematics

Pub Date : 2023-09-01 Epub Date: 2022-08-30 DOI: 10.1017/BrImp.2022.19

Arielle M Levy, Michael M Saling, Jacqueline F I Anderson

Objective: Cognitive symptoms are associated with return to work, healthcare use and quality of life after mild traumatic brain injury (mTBI). Additionally, while overall 'post-concussion' symptoms are often present at similar levels in mTBI and control groups, cognitive complaints may be specifically elevated in mTBI. A systematic review and meta-analysis was conducted to investigate the frequency and extent of cognitive complaints following adult civilian mTBI, and compare it to the frequency and extent of complaints in control populations (PROSPERO: CRD42020151284).

Method: This review included studies published up to March 2022. Thirteen studies were included in the systematic review, and six were included in the meta-analysis. Data extraction and quality assessment were conducted by two independent reviewers.

Results: Cognitive complaints are common after mTBI, although reported rates differed greatly across studies. Results suggested that mTBI groups report cognitive complaints to a significantly greater extent than control groups (Hedges' g = 0.85, 95% CI 0.31-1.40, p = .0102). Heterogeneity between studies was high (τ² = 0.20, 95% CI 0.04-1.58; I² = 75.0%, 95% CI 43.4%-89.0%). Between-group differences in symptom reporting were most often found when healthy rather than injured controls were employed.

Conclusions: Cognitive complaints are consistently reported after mTBI, and are present at greater levels in mTBI patients than in controls. Despite the importance of these complaints, including in regards to return to work, healthcare use and quality of life, there has been limited research in this area, and heterogeneity in research methodology is common.

目的：认知症状与轻度创伤性脑损伤（mTBI）后重返工作岗位、使用医疗服务和生活质量有关。此外，虽然轻微脑损伤组和对照组的总体 "脑震荡后 "症状水平通常相似，但轻微脑损伤组的认知症状可能特别严重。我们进行了一项系统综述和荟萃分析，以调查成年平民 mTBI 后出现认知症状的频率和程度，并将其与对照组人群出现认知症状的频率和程度进行比较（PROSPERO：CRD42020151284）：本综述纳入了截至 2022 年 3 月发表的研究。13项研究被纳入系统综述，6项研究被纳入荟萃分析。数据提取和质量评估由两名独立评审员进行：结果：mTBI后出现认知障碍很常见，但不同研究报告的发病率差异很大。结果表明，mTBI 组报告的认知症状明显多于对照组（Hedges' g = 0.85，95% CI 0.31-1.40，p = .0102）。研究之间的异质性很高（τ2 = 0.20，95% CI 0.04-1.58；I2 = 75.0%，95% CI 43.4%-89.0%）。当采用健康对照组而非受伤对照组时，症状报告的组间差异最常被发现：结论：mTBI 患者在治疗后经常会出现认知症状，且认知症状的程度高于对照组。尽管这些症状非常重要，包括对重返工作岗位、医疗保健的使用和生活质量的影响，但这方面的研究却很有限，而且研究方法的异质性也很常见。

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引用次数: 0

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