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ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS 次线性期望下扩展独立随机变量的完全收敛性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190093
X. Deng, Xuejun Wang
{"title":"ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS","authors":"X. Deng, Xuejun Wang","doi":"10.4134/JKMS.J190093","DOIUrl":"https://doi.org/10.4134/JKMS.J190093","url":null,"abstract":". In this paper, we establish complete convergence for sequences of extended independent random variables and arrays of rowwise ex- tended independent random variables under sub-linear expectations in Peng’s framework. The results obtained in this paper extend the corre- sponding ones of Baum and Katz [1] and Hu and Taylor [11] from classical probability space to sub-linear expectation space.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"57 1","pages":"553-570"},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511491","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: 6
GRADIENT RICCI SOLITON ON O(n)-INVARIANT n-DIMENSIONAL SUBMANIFOLD IN S n (1)×S n (1) S n(1)中0 (n)不变n维子流形上的梯度RICCI孤子×S n (1)
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.j180047
Jong Taek Cho, M. Kimura
{"title":"GRADIENT RICCI SOLITON ON O(n)-INVARIANT n-DIMENSIONAL SUBMANIFOLD IN S n (1)×S n (1)","authors":"Jong Taek Cho, M. Kimura","doi":"10.4134/JKMS.j180047","DOIUrl":"https://doi.org/10.4134/JKMS.j180047","url":null,"abstract":". We construct gradient Ricci solitons as n -dimensional submanifolds in S n × S n by using solutions of some nonlinear ODE.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"81-90"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509884","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
NUMBER OF WEAK GALOIS-WEIERSTRASS POINTS WITH WEIERSTRASS SEMIGROUPS GENERATED BY TWO ELEMENTS 由两个元生成的具有weierstrass半群的弱伽罗瓦- weierstrass点的个数
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.j180740
J. Komeda, Takeshi Takahashi
{"title":"NUMBER OF WEAK GALOIS-WEIERSTRASS POINTS WITH WEIERSTRASS SEMIGROUPS GENERATED BY TWO ELEMENTS","authors":"J. Komeda, Takeshi Takahashi","doi":"10.4134/JKMS.j180740","DOIUrl":"https://doi.org/10.4134/JKMS.j180740","url":null,"abstract":"Let C be a nonsingular projective curve of genus ≥ 2 over an algebraically closed field of characteristic 0. For a point P in C, the Weierstrass semigroup H(P ) is defined as the set of non-negative integers n for which there exists a rational function f on C such that the order of the pole of f at P is equal to n, and f is regular away from P . A point P in C is referred to as a weak Galois-Weierstrass point if P is a Weierstrass point and there exists a Galois morphism φ : C → P1 such that P is a total ramification point of φ. In this paper, we investigate the number of weak Galois-Weierstrass points of which the Weierstrass semigroups are generated by two positive integers.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"141 1","pages":"1463-1474"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510557","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
BIPACKING A BIPARTITE GRAPH WITH GIRTH AT LEAST 12 对一个周长至少为12的二部图进行分组
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180002
Hong Wang
{"title":"BIPACKING A BIPARTITE GRAPH WITH GIRTH AT LEAST 12","authors":"Hong Wang","doi":"10.4134/JKMS.J180002","DOIUrl":"https://doi.org/10.4134/JKMS.J180002","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"25-37"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509835","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
LEHMER'S GENERALIZED EULER NUMBERS IN HYPERGEOMETRIC FUNCTIONS 超几何函数中的Lehmer广义欧拉数
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.j180227
Rupam Barman, T. Komatsu
{"title":"LEHMER'S GENERALIZED EULER NUMBERS IN HYPERGEOMETRIC FUNCTIONS","authors":"Rupam Barman, T. Komatsu","doi":"10.4134/JKMS.j180227","DOIUrl":"https://doi.org/10.4134/JKMS.j180227","url":null,"abstract":". In 1935, D. H. Lehmer introduced and investigated generalized Euler numbers W n , defined by where ω is a complex root of x 2 + x +1 = 0. In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli and Euler numbers. These concepts can be generalized to the hypergeometric Bernoulli and Euler numbers by several authors, including Ohno and the second author. In this paper, we study more general numbers in terms of determinants, which involve Bernoulli, Euler and Lehmer’s generalized Euler numbers. The motivations and backgrounds of the definition are in an operator related to Graph theory. We also give several expressions and identities by Trudi’s and inversion formulae.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"485-505"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510583","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
ON THE BETTI NUMBERS OF THREE FAT POINTS IN ℙ 1 × ℙ 1 在1 × 1中三个胖点的整数上
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.j180385
G. Favacchio, E. Guardo
{"title":"ON THE BETTI NUMBERS OF THREE FAT POINTS IN ℙ 1 × ℙ 1","authors":"G. Favacchio, E. Guardo","doi":"10.4134/JKMS.j180385","DOIUrl":"https://doi.org/10.4134/JKMS.j180385","url":null,"abstract":"In these notes we introduce a numerical function which allows us to describe explicitly (and nonrecursively) the Betti numbers, and hence, the Hilbert function of a set Z of three fat points whose support is an almost complete intersection (ACI) in P1 × P1. A nonrecursively formula for the Betti numbers and the Hilbert function of these configurations is hard to give even for the corresponding set of five points on a special support in P2 and we did not find any kind of this result in the literature. Moreover, we also give a criterion that allows us to characterize the Hilbert functions of these special set of fat points.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"751-766"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510247","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
EVOLUTION AND MONOTONICITY FOR A CLASS OF QUANTITIES ALONG THE RICCI-BOURGUIGNON FLOW 一类量沿ricci-bourguignon流的演化和单调性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180525
Farzad Daneshvar, A. Razavi
{"title":"EVOLUTION AND MONOTONICITY FOR A CLASS OF QUANTITIES ALONG THE RICCI-BOURGUIGNON FLOW","authors":"Farzad Daneshvar, A. Razavi","doi":"10.4134/JKMS.J180525","DOIUrl":"https://doi.org/10.4134/JKMS.J180525","url":null,"abstract":". In this paper we consider the monotonicity of the lowest constant λ ba ( g ) under the Ricci-Bourguignon flow and the normalized Ricci- Bourguignon flow such that the equation − ∆ u + au log u + bRu = λ ba ( g ) u with (cid:82) M u 2 dV = 1 , has positive solutions, where a and b are two real con-stants. We also construct various monotonic quantities under the Ricci- Bourguignon flow and the normalized Ricci-Bourguignon flow. Moreover, we prove that a compact steady breather which evolves under the Ricci- Bourguignon flow should be Ricci-flat.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"1441-1461"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510262","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: 4
THE IDEAL OF WEAKLY p-NUCLEAR OPERATORS AND ITS INJECTIVE AND SURJECTIVE HULLS 弱p核算子的理想及其射壳和满射壳
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180151
Ju Myung Kim
{"title":"THE IDEAL OF WEAKLY p-NUCLEAR OPERATORS AND ITS INJECTIVE AND SURJECTIVE HULLS","authors":"Ju Myung Kim","doi":"10.4134/JKMS.J180151","DOIUrl":"https://doi.org/10.4134/JKMS.J180151","url":null,"abstract":"We introduce a larger ideal Nwp of the ideal of p-nuclear operators. We obtain isometric representations of the injective and surjective hulls of Nwp and study them.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"225-237"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510565","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
STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS 一类随机偏泛函积分微分方程α-范数的稳定性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180116
M. Diop, K. Ezzinbi, Modou Lo
{"title":"STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS","authors":"M. Diop, K. Ezzinbi, Modou Lo","doi":"10.4134/JKMS.J180116","DOIUrl":"https://doi.org/10.4134/JKMS.J180116","url":null,"abstract":"In this work, we study the existence, uniqueness and stability in the α-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a Hölder type condition with respect to the α-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"149-167"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510500","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
RIGIDITY CHARACTERIZATION OF COMPACT RICCI SOLITONS 紧致ricci孤子的刚性特性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180747
Fengjiang Li, Jian Zhou
{"title":"RIGIDITY CHARACTERIZATION OF COMPACT RICCI SOLITONS","authors":"Fengjiang Li, Jian Zhou","doi":"10.4134/JKMS.J180747","DOIUrl":"https://doi.org/10.4134/JKMS.J180747","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"56 1","pages":"1475-1488"},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510622","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: 6
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