{"title":"Transition probability of a certain stochastic process","authors":"Haruya Nagayama","doi":"10.2206/KYUSHUMFS.47.213","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.213","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126840309","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}
{"title":"On a theorem of Jaeger.","authors":"J. Balmaceda","doi":"10.2206/KYUSHUMFS.47.391","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.391","url":null,"abstract":"We give a short and alternative proof of a theorem of F. Jaeger that except for Potts models attached to the complete graphs, the only spin models associated with symmetric conference graphs with n ≥ 5 vertices are the pentagon and the lattice graph L2(3) with 9 vertices. The proof avoids Jaeger's use of the classification of strongly regular graphs having strongly regular subconstituents due to P. J. Cameron, J. M. Goethals, and J. J. Seidel.","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122887931","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}
{"title":"SPIN MODELS CORRESPONDING TO NONSYMMETRIC ASSOCIATION SCHEMES OF CLASS 2","authors":"Takuya Ikuta","doi":"10.2206/KYUSHUMFS.47.383","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.383","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"394 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133357036","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}
{"title":"THE FIRST EIGENVALUE OF THE TOTALLY REAL SUBMANIFOLDS WITH CONSTANT MEAN CURVATURE IN THE COMPLEX SPACE FORM","authors":"Sun Huafei","doi":"10.2206/KYUSHUMFS.47.411","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.411","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130308019","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}
{"title":"The Riemann problem for Appell's F4","authors":"Mitsuo Kato","doi":"10.2206/KYUSHUMFS.47.227","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.227","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125921608","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}
{"title":"Generalized spin models and association schemes.","authors":"E. Bannai, E. Bannai","doi":"10.2206/KYUSHUMFS.47.397","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.397","url":null,"abstract":"The concept of spin model was defined by V. F. R. Jones. Recently, F. Jaeger discovered that Bose-Mesner algebras of association schemes are natural places to look for spin models. The purpose of this paper is to study connections between (generalized) generalized spin models and (not necessarily symmetric) association schemes. For arbitrary generalized generalized spin models, we can prove somewhat weaker versions of Jaeger's results. However, we prove the corresponding results of Jaeger in full strength for generalized spin models of Jones type.","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115543866","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}
{"title":"On a differential equation related with differential geometry","authors":"T. Ôtsuki","doi":"10.2206/KYUSHUMFS.47.245","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.245","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116126137","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}
{"title":"RECENT PROGRESS OF GAUSS-SCHWARZ THEORY AND RELATED GEOMETRIC STRUCTURES","authors":"Keiji Matsumoto, Takeshi Sasaki, Masaaki Yoshida","doi":"10.2206/KYUSHUMFS.47.283","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.283","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129359249","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}
{"title":"GALOIS MODULE STRUCTURE OF LOCAL RINGS OF INTEGERS VIA RELATIVE LUBIN-TATE GROUPS","authors":"T. Imada","doi":"10.2206/KYUSHUMFS.47.71","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.71","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114942535","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}
{"title":"On dynamical behavior of Gauss-Seidel type tinite cellular automata","authors":"Satoru Kumamoto, N. Yamamoto, Masaya Nohmi","doi":"10.2206/KYUSHUMFS.47.15","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.15","url":null,"abstract":"The purpose of this paper is to provide a matrix representation of global transition functions of so-called Gauss-Seidel type finite celluar automata and their Jordan normal forms. The numbers of fixed points and the maximum length of cycles of these systems are calculated by using Jordan normal forms of the matrix representation of global transition functions","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"232 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114257514","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}