{"title":"分数过程问题的渐近分析","authors":"P. Chigansky, M. Kleptsyna","doi":"arxiv-2409.09377","DOIUrl":null,"url":null,"abstract":"Some problems in the theory and applications of stochastic processes can be\nreduced to solving integral equations. Such equations, however, rarely have\nexplicit solutions. Useful information can be obtained by means of their\nasymptotic analysis with respect to relevant parameters. This paper is a brief\nsurvey of some recent progress in the study of such equations related to\nprocesses with fractional covariance structure.","PeriodicalId":501245,"journal":{"name":"arXiv - MATH - Probability","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic analysis in problems with fractional processes\",\"authors\":\"P. Chigansky, M. Kleptsyna\",\"doi\":\"arxiv-2409.09377\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some problems in the theory and applications of stochastic processes can be\\nreduced to solving integral equations. Such equations, however, rarely have\\nexplicit solutions. Useful information can be obtained by means of their\\nasymptotic analysis with respect to relevant parameters. This paper is a brief\\nsurvey of some recent progress in the study of such equations related to\\nprocesses with fractional covariance structure.\",\"PeriodicalId\":501245,\"journal\":{\"name\":\"arXiv - MATH - Probability\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Probability\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.09377\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Probability","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09377","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Asymptotic analysis in problems with fractional processes
Some problems in the theory and applications of stochastic processes can be
reduced to solving integral equations. Such equations, however, rarely have
explicit solutions. Useful information can be obtained by means of their
asymptotic analysis with respect to relevant parameters. This paper is a brief
survey of some recent progress in the study of such equations related to
processes with fractional covariance structure.