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On the Pappus arrangement of lines, forth and back and to the point 关于帕普斯线的排列，前后和到点
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-03-29 DOI: 10.14492/hokmj/2021-521
Magdalena Lampa-Baczy'nska, D. W'ojcik
{"title":"On the Pappus arrangement of lines, forth and back and to the point","authors":"Magdalena Lampa-Baczy'nska, D. W'ojcik","doi":"10.14492/hokmj/2021-521","DOIUrl":"https://doi.org/10.14492/hokmj/2021-521","url":null,"abstract":"The purpose of this paper is to study the famous Pappus configuration of $9$ lines and its dual arrangement. We show among others that by applying the Pappus Theorem to the dual arrangement we obtain the configuration corresponding to the initial data of beginning configuration. We consider also the Pappus arrangements with some additional incidences and we establish algebraic conditions paralleling with these incidences.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46777535","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
Fold maps associated to geodesic random walks on non-positively curved manifolds 非正弯曲流形上与测地随机游动相关的折叠映射
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-03-16 DOI: 10.14492/hokmj/2020-439
Pablo Lessa, L. Oliveira
{"title":"Fold maps associated to geodesic random walks on non-positively curved manifolds","authors":"Pablo Lessa, L. Oliveira","doi":"10.14492/hokmj/2020-439","DOIUrl":"https://doi.org/10.14492/hokmj/2020-439","url":null,"abstract":"We study a family of mappings from the powers of the unit tangent sphere at a point to a complete Riemannian manifold with non-positive sectional curvature, whose behavior is related to the spherical mean operator and the geodesic random walks on the manifold. \u0000We show that for odd powers of the unit tangent sphere the mappings are fold maps. \u0000Some consequences on the regularity of the transition density of geodesic random walks, and on the eigenfunctions of the spherical mean operator are discussed and related to previous work.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42400431","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
Uniqueness theorem of meromorphic mappings of a complete Kähler manifold into a projective space 完备Kähler流形到射影空间的亚纯映射的唯一性定理
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-02-01 DOI: 10.14492/hokmj/1591085014
Ha Huong Giang
{"title":"Uniqueness theorem of meromorphic mappings of a complete Kähler manifold into a projective space","authors":"Ha Huong Giang","doi":"10.14492/hokmj/1591085014","DOIUrl":"https://doi.org/10.14492/hokmj/1591085014","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42473630","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
Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements 椭圆曲面的有理点与三次线、三次圆锥线排列的拓扑
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-02-01 DOI: 10.14492/hokmj/1591085013
S. Bannai, H. Tokunaga, Momoko Yamamoto
{"title":"Rational points of elliptic surfaces and the topology of cubic-line, cubic-conic-line arrangements","authors":"S. Bannai, H. Tokunaga, Momoko Yamamoto","doi":"10.14492/hokmj/1591085013","DOIUrl":"https://doi.org/10.14492/hokmj/1591085013","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46149245","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: 5
Extremal Area of Polygons, sliding along a circle 多边形的极值区域，沿圆滑动
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2020-01-29 DOI: 10.14492/hokmj/2020-312
D. Siersma
{"title":"Extremal Area of Polygons, sliding along a circle","authors":"D. Siersma","doi":"10.14492/hokmj/2020-312","DOIUrl":"https://doi.org/10.14492/hokmj/2020-312","url":null,"abstract":"We determine all critical configurations for the Area function on polygons with vertices on a circle or an ellipse. For isolated critical points we compute their Morse index, resp index of the gradient vector field. We relate the computation at an isolated degenerate point to an eigenvalue question about combinations. In the even dimensional case non-isolated singularities occur as `zigzag trains'.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46857910","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: 3
Singular limit problem of abstract second order evolution equations 抽象二阶演化方程的奇异极限问题
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-12-21 DOI: 10.14492/hokmj/2021-504
R. Ikehata, M. Sobajima
{"title":"Singular limit problem of abstract second order evolution equations","authors":"R. Ikehata, M. Sobajima","doi":"10.14492/hokmj/2021-504","DOIUrl":"https://doi.org/10.14492/hokmj/2021-504","url":null,"abstract":"We consider the singular limit problem in a real Hilbert space for abstract second order evolution equations with a parameter $varepsilon in (0,1]$. We first give an alternative proof of the celebrated results due to Kisynski (1963) from the viewpoint of the energy method. Next we derive a more precise asymptotic profile as $varepsilon to +0$ of the solution itself depending on $varepsilon$ under rather high regularity assumptions on the initial data.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44002475","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: 2
The differential equations associated with Calogero-Moser-Sutherland particle models in the freezing regime 冻结状态下与Calogero-Moser-Sutherland粒子模型相关的微分方程
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-10-17 DOI: 10.14492/hokmj/2020-307
M. Voit, Jeannette H. C. Woerner
{"title":"The differential equations associated with Calogero-Moser-Sutherland particle models in the freezing regime","authors":"M. Voit, Jeannette H. C. Woerner","doi":"10.14492/hokmj/2020-307","DOIUrl":"https://doi.org/10.14492/hokmj/2020-307","url":null,"abstract":"Multivariate Bessel processes describe Calogero-Moser-Sutherland particle models and are related with $beta$-Hermite and $beta$-Laguerre ensembles. They depend on a root system and a multiplicity $k$. Recently, several limit theorems for $ktoinfty$ were derived where the limits depend on the solutions of associated ODEs in these freezing regimes. In this paper we study the solutions of these ODEs which are are singular on the boundaries of their domains. In particular we prove that for a start in arbitrary boundary points, the ODEs always admit unique solutions in their domains for $t>0$.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46615706","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: 8
The decompositional structure of certain fractional integral operators 一类分数阶积分算子的分解结构
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-10-01 DOI: 10.14492/hokmj/1573722020
M. Luo, R. K. Raina
{"title":"The decompositional structure of certain fractional integral operators","authors":"M. Luo, R. K. Raina","doi":"10.14492/hokmj/1573722020","DOIUrl":"https://doi.org/10.14492/hokmj/1573722020","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48078381","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: 1
Adic sheaves over weighted projective lines and elliptic curves 加权投影线和椭圆曲线上的矢束
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-10-01 DOI: 10.14492/hokmj/1573722014
Jinjing Chen, Jianmin Chen, Yanan Lin
{"title":"Adic sheaves over weighted projective lines and elliptic curves","authors":"Jinjing Chen, Jianmin Chen, Yanan Lin","doi":"10.14492/hokmj/1573722014","DOIUrl":"https://doi.org/10.14492/hokmj/1573722014","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44291225","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
Truncated Euler-Carlitz numbers 截断Euler-Carlitz数
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2019-10-01 DOI: 10.14492/hokmj/1573722018
T. Komatsu, V. Laohakosol, Pinthira Tangsupphathawat
{"title":"Truncated Euler-Carlitz numbers","authors":"T. Komatsu, V. Laohakosol, Pinthira Tangsupphathawat","doi":"10.14492/hokmj/1573722018","DOIUrl":"https://doi.org/10.14492/hokmj/1573722018","url":null,"abstract":"In this paper, we introduce the truncated Euler-Carlitz numbers as analogues of hypergeometric Euler numbers. In a special case, Euler-Carlitz numbers are defined, which is an analogue of the classical Euler numbers. We give several interesting properties for these numbers. We also show some determinant expressions of Euler-Carlitz numbers.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49209043","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: 1
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