{"title":"A CLT for the characteristic polynomial of random Jacobi matrices, and the G$$\\beta $$E","authors":"Fanny Augeri, Raphael Butez, Ofer Zeitouni","doi":"10.1007/s00440-023-01194-9","DOIUrl":null,"url":null,"abstract":"We prove a central limit theorem for the real part of the logarithm of the characteristic polynomial of random Jacobi matrices. Our results cover the G $$\\beta $$ E models for $$\\beta >0$$ .","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"20 1","pages":"0"},"PeriodicalIF":1.5000,"publicationDate":"2023-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Probability Theory and Related Fields","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00440-023-01194-9","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 9
Abstract
We prove a central limit theorem for the real part of the logarithm of the characteristic polynomial of random Jacobi matrices. Our results cover the G $$\beta $$ E models for $$\beta >0$$ .
期刊介绍：
Probability Theory and Related Fields publishes research papers in modern probability theory and its various fields of application. Thus, subjects of interest include: mathematical statistical physics, mathematical statistics, mathematical biology, theoretical computer science, and applications of probability theory to other areas of mathematics such as combinatorics, analysis, ergodic theory and geometry. Survey papers on emerging areas of importance may be considered for publication. The main languages of publication are English, French and German.
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