{"title":"非凡的卷积递归","authors":"Steven Finch","doi":"arxiv-2408.12440","DOIUrl":null,"url":null,"abstract":"A quadratic recurrence of Faltung type, arising via ancestral path lengths of\nrandom binary trees, turns out to be related to the Painlev\\'e I differential\nequation.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Exceptional Convolutional Recurrence\",\"authors\":\"Steven Finch\",\"doi\":\"arxiv-2408.12440\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A quadratic recurrence of Faltung type, arising via ancestral path lengths of\\nrandom binary trees, turns out to be related to the Painlev\\\\'e I differential\\nequation.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.12440\",\"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 - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.12440","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A quadratic recurrence of Faltung type, arising via ancestral path lengths of
random binary trees, turns out to be related to the Painlev\'e I differential
equation.
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