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Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice 一维晶格上离散非线性Schrödinger方程孤子的渐近稳定性
SUT Journal of Mathematics Pub Date : 2021-12-02 DOI: 10.55937/sut/1685793568
Masaya Maeda, M. Yoneda
{"title":"Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice","authors":"Masaya Maeda, M. Yoneda","doi":"10.55937/sut/1685793568","DOIUrl":"https://doi.org/10.55937/sut/1685793568","url":null,"abstract":"In this paper we give a simple and short proof of asymptotic stability of soliton for discrete nonlinear Schr\"odinger equation near anti-continuous limit. Our novel insight is that the analysis of linearized operator, usually non-symmetric, can be reduced to a study of simple self-adjoint operator almost like the free discrete Laplacian restricted on odd functions.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81524455","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
Norm inequalities for the generalised commutator in Banach algebras Banach代数中广义对易子的范数不等式
SUT Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.55937/sut/1641859472
S. Dragomir
{"title":"Norm inequalities for the generalised commutator in Banach algebras","authors":"S. Dragomir","doi":"10.55937/sut/1641859472","DOIUrl":"https://doi.org/10.55937/sut/1641859472","url":null,"abstract":". In this paper, by utilising the Riesz functional calculus in a Banach algebra B , we provide some norm inequalities for the generalized commutator f y ) z (cid:0) zf ( x ) where x; y; z 2 B and f is an analytic function for which the elements f ( y ) and f ( x ) exist. Some examples for the resolvent and exponential functions are also given.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89609750","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: 1
Mechanism of folding a strip into isotetrahedra or rectangle dihedra 将条折叠成等四面体或矩形二面体的机制
SUT Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.55937/sut/1641859460
Kiyoko Matsunaga
{"title":"Mechanism of folding a strip into isotetrahedra or rectangle dihedra","authors":"Kiyoko Matsunaga","doi":"10.55937/sut/1641859460","DOIUrl":"https://doi.org/10.55937/sut/1641859460","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"340 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80753157","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
Estimates on modulation spaces for Schrödinger operators with first order magnetic fields 一阶磁场下Schrödinger算子的调制空间估计
SUT Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.55937/sut/1641859476
R. Muramatsu
{"title":"Estimates on modulation spaces for Schrödinger operators with first order magnetic fields","authors":"R. Muramatsu","doi":"10.55937/sut/1641859476","DOIUrl":"https://doi.org/10.55937/sut/1641859476","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81104173","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: 1
A two-dimensional index for marginal homogeneity in ordinal square contingency tables 序方列联表的二维边缘齐性指标
SUT Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.55937/sut/1641859478
S. Ando, Tomohiro Noguchi, Aki Ishii, S. Tomizawa
{"title":"A two-dimensional index for marginal homogeneity in ordinal square contingency tables","authors":"S. Ando, Tomohiro Noguchi, Aki Ishii, S. Tomizawa","doi":"10.55937/sut/1641859478","DOIUrl":"https://doi.org/10.55937/sut/1641859478","url":null,"abstract":". For square contingency tables with ordered categories, indexes that represent the degree of departure from the marginal homogeneity (MH) model have been proposed. There are two types of directionalities of departure from MH. The existing indexes, however, can analyze either the degree of departure from MH or the directionality but not both. To address this issue, this study proposes a two-dimensional index, which combines the existing indexes, can simultaneously analyze both the degree and directionality of departure from MH. This study also evaluates the usefulness of the proposed index for visually comparing degrees of departure from MH in several square contingency tables using con(cid:12)dence region.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81823180","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
Improved approximate unbiased estimators of the measure of departure from partial symmetry for square contingency tables 方形列联表偏对称性测度的改进近似无偏估计
SUT Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.55937/sut/1641859470
Tomoyuki Nakagawa, Ryoma Namba, Kiyotaka Iki, S. Tomizawa
{"title":"Improved approximate unbiased estimators of the measure of departure from partial symmetry for square contingency tables","authors":"Tomoyuki Nakagawa, Ryoma Namba, Kiyotaka Iki, S. Tomizawa","doi":"10.55937/sut/1641859470","DOIUrl":"https://doi.org/10.55937/sut/1641859470","url":null,"abstract":". For square contingency tables, the measure to represent the degree of departure from the partial symmetry model was proposed. It is necessary to estimate the measure because it is constructed of unknown parameters. Al-though many studies consider using the plug-in estimator to estimate the measure, the bias of the plug-in estimator is large when the sample size is not so large. In this study, we consider to estimate the measure when the sample size is not so large. This paper presents the improved approximate unbiased estimators of the measure which are obtained using the second-order term in Taylor series expansion. Some simulation studies show the performances of proposed estimators for finite sample cases.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"320 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76071086","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
Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times 弯曲积流形上的伪射影曲率张量及其在时空中的应用
SUT Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.55937/sut/1641859456
Nandan Bhunia, S. Pahan, A. Bhattacharyya
{"title":"Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times","authors":"Nandan Bhunia, S. Pahan, A. Bhattacharyya","doi":"10.55937/sut/1641859456","DOIUrl":"https://doi.org/10.55937/sut/1641859456","url":null,"abstract":". In this paper we study the pseudo-projective curvature tensor on warped product manifolds. We obtain some signi(cid:12)cant results of the pseudo-projective curvature tensor on warped product manifolds in terms of its base and (cid:12)ber manifolds. Moreover, we derive some interesting results which describe the geometry of base and (cid:12)ber manifolds for a pseudo-projectively (cid:13)at warped product manifold. Lastly, we study the pseudo-projective curvature tensor on generalized Robertson-Walker space-times and standard static space-times.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89884098","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: 2
Non-inferiority marginal symmetry model and its decomposition for ordinal square contingency tables 序方列联表的非劣边对称模型及其分解
SUT Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.55937/sut/1641859466
Manabu Aizawa, S. Ando, Kouji Tahata, S. Tomizawa
{"title":"Non-inferiority marginal symmetry model and its decomposition for ordinal square contingency tables","authors":"Manabu Aizawa, S. Ando, Kouji Tahata, S. Tomizawa","doi":"10.55937/sut/1641859466","DOIUrl":"https://doi.org/10.55937/sut/1641859466","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79212562","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
Tate-Hochschild cohomology rings for eventually periodic Gorenstein algebras 最终周期Gorenstein代数的Tate-Hochschild上同环
SUT Journal of Mathematics Pub Date : 2021-07-07 DOI: 10.55937/sut/1641859464
Satoshi Usui
{"title":"Tate-Hochschild cohomology rings for eventually periodic Gorenstein algebras","authors":"Satoshi Usui","doi":"10.55937/sut/1641859464","DOIUrl":"https://doi.org/10.55937/sut/1641859464","url":null,"abstract":"Tate-Hochschild cohomology of an algebra is a generalization of ordinary Hochschild cohomology, which is defined on positive and negative degrees and has a ring structure. Our purpose of this paper is to study the eventual periodicity of an algebra by using the Tate-Hochschild cohomology ring. First, we deal with eventually periodic algebras and show that they are not necessarily Gorenstein algebras. Secondly, we characterize the eventual periodicity of a Gorenstein algebra as the existence of an invertible homogeneous element of the Tate-Hochschild cohomology ring of the algebra, which is our main result. Finally, we use tensor algebras to establish a way of constructing eventually periodic Gorenstein algebras.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81650596","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: 2
Slash indecomposability of Brauer-friendly modules brauer友好模块的不可分解性
SUT Journal of Mathematics Pub Date : 2021-06-01 DOI: 10.55937/sut/1624021922
Nobukatsu Watanabe
{"title":"Slash indecomposability of Brauer-friendly modules","authors":"Nobukatsu Watanabe","doi":"10.55937/sut/1624021922","DOIUrl":"https://doi.org/10.55937/sut/1624021922","url":null,"abstract":". Ishioka-Kunugi [9] gives an equivalent condition for Scott modules to be Brauer indecomposable. This paper generalizes the equivalent condition to that for Brauer-friendly modules to be slash indecomposable.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"23 1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86900625","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
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