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Journal of Mathematics of Kyoto University最新文献

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Wegner estimate for a generalized alloy type potential 广义合金型电位的Wegner估计
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1256219155
Jyunichi Takahara
{"title":"Wegner estimate for a generalized alloy type potential","authors":"Jyunichi Takahara","doi":"10.1215/KJM/1256219155","DOIUrl":"https://doi.org/10.1215/KJM/1256219155","url":null,"abstract":"W.Kirsch and I.Veseli´c proved a generalized Wegner estimate for Schr¨odinger operators with generalized alloy type potentials at negative energies for each fixed position of impurities. In this paper, a similar estimate is proven treating also the position of impurities as random variables.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"255-265"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113570","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
Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems 一类二维动力系统的连通和非弧连通不变量集
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/kjm/1256219160
F. Nakajima
{"title":"Connected and not arcwise connected invariant sets for some 2-dimmensional dynamical systems","authors":"F. Nakajima","doi":"10.1215/kjm/1256219160","DOIUrl":"https://doi.org/10.1215/kjm/1256219160","url":null,"abstract":"The invariant Cantor set of Smale’s horseshoe map is imbedded into a connented and not arcwise connected, invariant, compact set with zero Lebesgue measure.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"339-346"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113698","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 construction of processes with one dimensional martingale marginals, based upon path-space Ornstein-Uhlenbeck processes and the Brownian sheet 基于路径空间Ornstein-Uhlenbeck过程和布朗薄片的一维鞅边缘过程的构造
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1256219164
F. Hirsch, M. Yor
{"title":"A construction of processes with one dimensional martingale marginals, based upon path-space Ornstein-Uhlenbeck processes and the Brownian sheet","authors":"F. Hirsch, M. Yor","doi":"10.1215/KJM/1256219164","DOIUrl":"https://doi.org/10.1215/KJM/1256219164","url":null,"abstract":"Using a variation from the construction of the Ornstein-Uhlenbeck process on canonical path-space C ([0 , 1]; R ) in terms of the Brownian sheet, we obtain a large class of processes, adapted to the Brownian filtration, which admit the one dimensional marginals of a martingale.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"389-417"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113769","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: 16
On a result of H. Fujimoto 根据H. Fujimoto的结果
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1260975043
Xiao-Tian Bai, Q. Han, Ang Chen
{"title":"On a result of H. Fujimoto","authors":"Xiao-Tian Bai, Q. Han, Ang Chen","doi":"10.1215/KJM/1260975043","DOIUrl":"https://doi.org/10.1215/KJM/1260975043","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"631-643"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1260975043","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66114132","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: 10
Almost periodic models of impulsive Hopfield neural networks 脉冲Hopfield神经网络的概周期模型
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1248983029
G. Stamov
{"title":"Almost periodic models of impulsive Hopfield neural networks","authors":"G. Stamov","doi":"10.1215/KJM/1248983029","DOIUrl":"https://doi.org/10.1215/KJM/1248983029","url":null,"abstract":"In the present paper the problems of existence and uniqueness of almost periodic solutions for impulsive Hopfield neural networks are considered. The impulses are in fixed moments of time and by using the technique of estimation of the Cauchy�s matrix new sufficient conditions for the exponential stability of the unique almost periodic solution of such systems are given.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"57-67"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1248983029","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087648","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: 16
Prescribing Gevrey singularities for solutions of pseudodifferential operators 赝微分算子解的Gevrey奇异性
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1256219157
A. Albanese, P. Popivanov, L. Zanghirati
{"title":"Prescribing Gevrey singularities for solutions of pseudodifferential operators","authors":"A. Albanese, P. Popivanov, L. Zanghirati","doi":"10.1215/KJM/1256219157","DOIUrl":"https://doi.org/10.1215/KJM/1256219157","url":null,"abstract":"We show a criterion to establish the existence of solutions with prescribed Gevrey wave front sets for pseudodifferential operators of finite order.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"1 1","pages":"287-306"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1256219157","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113593","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
A construction of processes with one-dimensional martingale marginals, associated with a Lévy process, via its Lévy sheet 具有一维鞅边缘的过程的构造，通过其lsamvy表与lsamvy过程相关联
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1265899483
F. Hirsch, M. Yor
{"title":"A construction of processes with one-dimensional martingale marginals, associated with a Lévy process, via its Lévy sheet","authors":"F. Hirsch, M. Yor","doi":"10.1215/KJM/1265899483","DOIUrl":"https://doi.org/10.1215/KJM/1265899483","url":null,"abstract":"We give some adequate extension, in the framework of a general L´evy process, of our previous construction of processes with one-dimensional martingale marginals, done originally in the set-up of Brownian motion. The L´evy process framework allows us to streamline our previous arguments, as well as to reach a larger class of such processes, even in the Brownian case. We give some illustrations of our construction when the L´evy process is either a Gamma process, or a Poisson process. We also work in the fractional Brownian and stable frameworks.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"785-815"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1265899483","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113814","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: 11
Certain multiple orthogonal polynomials and a discretization of the Bessel equation 某些多重正交多项式和贝塞尔方程的离散化
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1265899481
Tomohiro Takata
{"title":"Certain multiple orthogonal polynomials and a discretization of the Bessel equation","authors":"Tomohiro Takata","doi":"10.1215/KJM/1265899481","DOIUrl":"https://doi.org/10.1215/KJM/1265899481","url":null,"abstract":"We extend the Mehler-Heine type formula of Jacobi polynomials to a class of multiple orthogonal polynomials of type II. The Mehler-Heine type formulas show standard orthogonal polynomials or multiple orthogonal polynomials near the endpoints of the interval of orthogonality.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"121 1","pages":"747-769"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66114251","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: 7
The relation between stationary and periodic solutions of the Navier-Stokes equations in two or three dimensional channels 二维或三维通道中Navier-Stokes方程的平稳解与周期解之间的关系
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1256219158
Teppei Kobayashi
{"title":"The relation between stationary and periodic solutions of the Navier-Stokes equations in two or three dimensional channels","authors":"Teppei Kobayashi","doi":"10.1215/KJM/1256219158","DOIUrl":"https://doi.org/10.1215/KJM/1256219158","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"307-323"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113634","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: 8
Construction of a Galois action on modular forms for an arbitrary unitary group 任意酉群模形式上伽罗瓦作用的构造
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1265899477
A. Yamauchi
{"title":"Construction of a Galois action on modular forms for an arbitrary unitary group","authors":"A. Yamauchi","doi":"10.1215/KJM/1265899477","DOIUrl":"https://doi.org/10.1215/KJM/1265899477","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"42 1","pages":"645-689"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1265899477","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66114181","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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