{"title":"随机肖特基表面的光谱间隙","authors":"Irving Calderón, Michael Magee, Frédéric Naud","doi":"arxiv-2407.21506","DOIUrl":null,"url":null,"abstract":"We establish a spectral gap for resonances of the Laplacian of random\nSchottky surfaces, which is optimal according to a conjecture of Jakobson and\nNaud.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"181 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spectral gap for random Schottky surfaces\",\"authors\":\"Irving Calderón, Michael Magee, Frédéric Naud\",\"doi\":\"arxiv-2407.21506\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish a spectral gap for resonances of the Laplacian of random\\nSchottky surfaces, which is optimal according to a conjecture of Jakobson and\\nNaud.\",\"PeriodicalId\":501373,\"journal\":{\"name\":\"arXiv - MATH - Spectral Theory\",\"volume\":\"181 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Spectral Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.21506\",\"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 - Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.21506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We establish a spectral gap for resonances of the Laplacian of random
Schottky surfaces, which is optimal according to a conjecture of Jakobson and
Naud.
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