Hiroshima Mathematical Journal最新文献_第10页

Stable extendibility and extendibility of vector bundles over lens spaces 透镜空间上向量束的稳定可拓性和可拓性

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2018-03-01 DOI: 10.32917/hmj/1520478023

M. Imaoka, Teiichi Kobayashi

引用次数: 0

LCM-stability and formal power series lcm稳定性与形式幂级数

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2018-03-01 DOI: 10.32917/HMJ/1520478022

Walid Maaref, A. Benhissi

引用次数: 2

On a Riemannian submanifold whose slice representation has no nonzero fixed points 黎曼子流形的片表示没有非零不动点

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2018-03-01 DOI: 10.32917/HMJ/1520478020

Y. Taketomi

引用次数: 6

Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser 广义冷凝器相关矢量测度的约束最小Riesz和Green能量问题

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2018-02-19 DOI: 10.32917/hmj/1573787036

B. Fuglede, N. Zorii

{"title":"Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser","authors":"B. Fuglede, N. Zorii","doi":"10.32917/hmj/1573787036","DOIUrl":"https://doi.org/10.32917/hmj/1573787036","url":null,"abstract":"For a finite collection $mathbf A=(A_i)_{iin I}$ of locally closed sets in $mathbb R^n$, $ngeqslant3$, with the sign $pm1$ prescribed such that the oppositely charged plates are mutually disjoint, we consider the minimum energy problem relative to the $alpha$-Riesz kernel $|x-y|^{alpha-n}$, $alphain(0,2]$, over positive vector Radon measures $boldsymbolmu=(mu^i)_{iin I}$ such that each $mu^i$, $iin I$, is carried by $A_i$ and normalized by $mu^i(A_i)=a_iin(0,infty)$. We show that, though the closures of oppositely charged plates may intersect each other even in a set of nonzero capacity, this problem has a solution $boldsymbollambda^{boldsymbolxi}_{mathbf A}=(lambda^i_{mathbf A})_{iin I}$ (also in the presence of an external field) if we restrict ourselves to $boldsymbolmu$ with $mu^ileqslantxi^i$, $iin I$, where the constraint $boldsymbolxi=(xi^i)_{iin I}$ is properly chosen. We establish the sharpness of the sufficient conditions on the solvability thus obtained, provide descriptions of the weighted vector $alpha$-Riesz potentials of the solutions, single out their characteristic properties, and analyze the supports of the $lambda^i_{mathbf A}$, $iin I$. Our approach is based on the simultaneous use of the vague topology and an appropriate semimetric structure defined in terms of the $alpha$-Riesz energy on a set of vector measures associated with $mathbf A$, as well as on the establishment of an intimate relationship between the constrained minimum $alpha$-Riesz energy problem and a constrained minimum $alpha$-Green energy problem, suitably formulated. The results are illustrated by examples.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2018-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47614082","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

High-dimensional asymptotic distributions of characteristic roots in multivariate linear models and canonical correlation analysis 多元线性模型特征根的高维渐近分布及典型相关分析

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2017-11-01 DOI: 10.32917/HMJ/1509674447

Y. Fujikoshi

引用次数: 9

The skew growth functions for the monoid of type $mathrm{B_{ii}}$ and others $mathrm｛B_｛ii｝｝$及其他类型的幺半群的斜增长函数

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2017-11-01 DOI: 10.32917/HMJ/1509674449

Tadashi Ishibe

引用次数: 0

Asymptotic cut-off point in linear discriminant rule to adjust the misclassification probability for large dimensions 利用线性判别规则中的渐近截止点来调整大维的误分类概率

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2017-11-01 DOI: 10.32917/hmj/1509674450

Takayuki Yamada, Tetsuto Himeno, Tetsuro Sakurai

引用次数: 1

A two-sample test for high-dimension, low-sample-size data under the strongly spiked eigenvalue model 在强尖峰特征值模型下对高维、低样本量数据的双样本检验

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2017-11-01 DOI: 10.32917/HMJ/1509674448

Aki Ishii

引用次数: 10

$G$-constellations and the maximal resolution of a quotient surface singularity $G$-星座与商曲面奇异性的最大分辨率

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2017-10-11 DOI: 10.32917/hmj/1607396494

A. Ishii

引用次数: 0

Isometric deformations of wave fronts at non-degenerate singular points 非退化奇异点处波前的等距变形

IF 0.2 4区数学

Hiroshima Mathematical Journal Pub Date : 2017-10-09 DOI: 10.32917/hmj/1607396490

Atsufumi Honda, K. Naokawa, M. Umehara, Kotaro Yamada

{"title":"Isometric deformations of wave fronts at non-degenerate singular points","authors":"Atsufumi Honda, K. Naokawa, M. Umehara, Kotaro Yamada","doi":"10.32917/hmj/1607396490","DOIUrl":"https://doi.org/10.32917/hmj/1607396490","url":null,"abstract":"Cuspidal edges and swallowtails are typical non-degenerate singular points on wave fronts in the Euclidean $3$-space. Their first fundamental forms belong to a class of positive semi-definite metrics called \"Kossowski metrics\". A point where a Kossowski metric is not positive definite is called a singular point or a semi-definite point of the metric. Kossowski proved that real analytic Kossowski metric germs at their non-parabolic singular points(the definition of \"non-parabolic singular point\" is stated in the introduction here) can be realized as wave front germs (Kossowski's realization theorem). \u0000On the other hand, in a previous work with K. Saji, the third and the fourth authors introduced the notion of \"coherent tangent bundle\". Moreover, the authors, with M. Hasegawa and K. Saji, proved that a Kossowski metric canonically induces an associated coherent tangent bundle. \u0000In this paper, we shall explain Kossowski's realization theorem from the viewpoint of coherent tangent bundles. Moreover, as refinements of it, we give a criterion that a given Kossowski metric can be realized as the induced metric of a germ of cuspidal edge (resp. swallowtail or cuspidal cross cap). Several applications of these criteria are given. Also, some remaining problems on isometric deformations of singularities of analytic maps are given at the end of this paper.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2017-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43082895","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: 11