弗莱明-维奥多色工艺的缩放极限

IF 2.1 1区数学 Q1 STATISTICS & PROBABILITY

Annals of Probability Pub Date : 2023-01-01 DOI:10.1214/23-aop1654

Oliver Tough

{"title":"弗莱明-维奥多色工艺的缩放极限","authors":"Oliver Tough","doi":"10.1214/23-aop1654","DOIUrl":null,"url":null,"abstract":"We consider the N-particle Fleming–Viot process associated to a normally reflected diffusion with soft catalyst killing. The Fleming–Viot multicolor process is obtained by attaching genetic information to the particles in the Fleming–Viot process. We establish that, after rescaling time by t↦Nt, this genetic information converges to the (very different) Fleming–Viot process from population genetics, as N→∞. An extension is provided to dynamics given by Brownian motion with hard catalyst killing at the boundary of its domain.","PeriodicalId":50763,"journal":{"name":"Annals of Probability","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Scaling limit of the Fleming–Viot MultiColor process\",\"authors\":\"Oliver Tough\",\"doi\":\"10.1214/23-aop1654\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the N-particle Fleming–Viot process associated to a normally reflected diffusion with soft catalyst killing. The Fleming–Viot multicolor process is obtained by attaching genetic information to the particles in the Fleming–Viot process. We establish that, after rescaling time by t↦Nt, this genetic information converges to the (very different) Fleming–Viot process from population genetics, as N→∞. An extension is provided to dynamics given by Brownian motion with hard catalyst killing at the boundary of its domain.\",\"PeriodicalId\":50763,\"journal\":{\"name\":\"Annals of Probability\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Probability\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1214/23-aop1654\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Probability","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1214/23-aop1654","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

引用次数: 5

摘要

我们考虑了n粒子弗莱明-维奥过程与软催化剂杀死的正常反射扩散有关。弗莱明-维奥多色过程是将遗传信息附加到弗莱明-维奥过程中的粒子上得到的。我们建立了，在用t≠Nt对时间进行重新标度后，该遗传信息收敛于(非常不同的)弗莱明-维奥过程，即N→∞。对布朗运动在边界处有硬催化剂杀死的动力学进行了推广。

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

Scaling limit of the Fleming–Viot MultiColor process

We consider the N-particle Fleming–Viot process associated to a normally reflected diffusion with soft catalyst killing. The Fleming–Viot multicolor process is obtained by attaching genetic information to the particles in the Fleming–Viot process. We establish that, after rescaling time by t↦Nt, this genetic information converges to the (very different) Fleming–Viot process from population genetics, as N→∞. An extension is provided to dynamics given by Brownian motion with hard catalyst killing at the boundary of its domain.

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

Annals of Probability 数学-统计学与概率论

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Annals of Probability publishes research papers in modern probability theory, its relations to other areas of mathematics, and its applications in the physical and biological sciences. Emphasis is on importance, interest, and originality – formal novelty and correctness are not sufficient for publication. The Annals will also publish authoritative review papers and surveys of areas in vigorous development.