带突变的（0,1）上Fisher—Wright扩散的递归性质

IF 0.3 Q4 STATISTICS & PROBABILITY

Random Operators and Stochastic Equations Pub Date : 2021-05-20 DOI:10.1515/rose-2021-2061

Roman Sineokiy, A. Veretennikov

{"title":"带突变的（0,1）上Fisher—Wright扩散的递归性质","authors":"Roman Sineokiy, A. Veretennikov","doi":"10.1515/rose-2021-2061","DOIUrl":null,"url":null,"abstract":"Abstract A one-dimensional Fisher–Wright diffusion process on the interval ( 0 , 1 ) {(0,1)} with mutations is considered. This is a widely known model in population genetics. The goal of this paper is an exponential recurrence of the process, which also implies an exponential rate of convergence towards the invariant measure.","PeriodicalId":43421,"journal":{"name":"Random Operators and Stochastic Equations","volume":"29 1","pages":"197 - 202"},"PeriodicalIF":0.3000,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On recurrent properties of Fisher--Wright's diffusion on (0,1) with mutation\",\"authors\":\"Roman Sineokiy, A. Veretennikov\",\"doi\":\"10.1515/rose-2021-2061\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract A one-dimensional Fisher–Wright diffusion process on the interval ( 0 , 1 ) {(0,1)} with mutations is considered. This is a widely known model in population genetics. The goal of this paper is an exponential recurrence of the process, which also implies an exponential rate of convergence towards the invariant measure.\",\"PeriodicalId\":43421,\"journal\":{\"name\":\"Random Operators and Stochastic Equations\",\"volume\":\"29 1\",\"pages\":\"197 - 202\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-05-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Random Operators and Stochastic Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/rose-2021-2061\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Operators and Stochastic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/rose-2021-2061","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

引用次数: 1

摘要

摘要考虑区间（0，1）{（0,1）}上带突变的一维Fisher–Wright扩散过程。这是群体遗传学中一个广为人知的模型。本文的目标是过程的指数递推，这也意味着对不变测度的指数收敛速度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On recurrent properties of Fisher--Wright's diffusion on (0,1) with mutation

Abstract A one-dimensional Fisher–Wright diffusion process on the interval ( 0 , 1 ) {(0,1)} with mutations is considered. This is a widely known model in population genetics. The goal of this paper is an exponential recurrence of the process, which also implies an exponential rate of convergence towards the invariant measure.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量