{"title":"半有界初始数据的Toda格解","authors":"A. Mikhaylov, V. Mikhaylov","doi":"10.1109/DD49902.2020.9274657","DOIUrl":null,"url":null,"abstract":"We propose a method of definition of a solution of the semi-infinite Toda lattice for a wide class of unbounded initial data. For this purpose we describe the evolution of moments of the spectral measure of semi-infinite Jacobi operator associated with the Toda lattice.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solution of Toda lattices for semi-bounded initial data\",\"authors\":\"A. Mikhaylov, V. Mikhaylov\",\"doi\":\"10.1109/DD49902.2020.9274657\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a method of definition of a solution of the semi-infinite Toda lattice for a wide class of unbounded initial data. For this purpose we describe the evolution of moments of the spectral measure of semi-infinite Jacobi operator associated with the Toda lattice.\",\"PeriodicalId\":133126,\"journal\":{\"name\":\"2020 Days on Diffraction (DD)\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD49902.2020.9274657\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD49902.2020.9274657","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of Toda lattices for semi-bounded initial data
We propose a method of definition of a solution of the semi-infinite Toda lattice for a wide class of unbounded initial data. For this purpose we describe the evolution of moments of the spectral measure of semi-infinite Jacobi operator associated with the Toda lattice.